Y 1 2 2 x.

Graph opens down. Axis of symmetry is x= 4 and vertex is (4,8) Explanation: This is vertex form of equation of a parabola. The general form of ... What is the vertex of y = −2(x + 1)2 + 2 ? (-1, 2) Explanation: y is actually written in the vertex form. Calculus. Solve for x x^ (-1/2)=2. x−1 2 = 2 x - 1 2 = 2. Raise each side of the equation to the power of −2 - 2 to eliminate the fractional exponent on the left side. (x−1 2)−2 = 2−2 ( x - 1 2) - 2 = 2 - 2. Simplify the exponent. Tap for more steps... x = 1 4 x = 1 4. The result can be shown in multiple forms. Ex 5.3, 8 Find 𝑑𝑦/𝑑𝑥 in, sin2 𝑥 + cos2 𝑦 = 1 sin2 𝑥 + cos2 𝑦 = 1 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 . (𝑑 (sin2 𝑥 + cos2 𝑦))/𝑑𝑥 = (𝑑 (1))/𝑑𝑥 (𝑑 (sin2 𝑥))/𝑑𝑥 + (𝑑 (cos⁡2 𝑦))/𝑑𝑥 = 0 Calculating Derivative of sin2 𝑥 & cos^2 𝑦 sepretaly Finding Derivative of ...y-intercept: (0,4) ( 0, 4) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 4 2 5 x y 0 4 2 5. Graph the line using the slope and the y-intercept, or the points. Slope: 1 2 1 2. y-intercept: (0,4) ( 0, 4) x y 0 4 2 5 x y 0 4 2 5.

Ex 6.2, 7 Show that 𝑦 = log (1 + 𝑥) – 2𝑥/ (2 + 𝑥) , 𝑥 > – 1 , is an increasing function of 𝑥 throughout its domain.Given 𝑦 = log (1+𝑥) – 2𝑥/ (2 + 𝑥) , 𝑥 > –1We need to show that y is strictly increasing function for 𝑥 > –1 i.e. we need to show that (𝒅𝒚 )/𝒅𝒙 > 0 for 𝒙 …

Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.My favorite part of the holiday season, next to family time and watching every Hallmark movie ever created, is the food. My mom and grandma make homemade kremas (think eggnog, but ...

Ex 5.7, 16 (Method 1) If 𝑒^𝑦 (x+1)= 1, show that 𝑑2𝑦/𝑑𝑥2 = (𝑑𝑦/𝑑𝑥)^2 We need to show that 𝑑2𝑦/𝑑𝑥2 = (𝑑𝑦/𝑑𝑥)^2 𝑒^𝑦 (x+1)= 1 Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑(𝑒^𝑦 (x+1))/𝑑𝑥 = (𝑑(1))/𝑑𝑥 𝑑(𝑒^𝑦 (x + 1))/𝑑𝑥 = 0 Using product rule in ey(x + 1) As (𝑢𝑣)’= 𝑢’𝑣 + 𝑣’𝑢 where u = ey &Happy weekend, and welcome back to 3-Ingredient Happy Hour, the weekly drink column featuring super simple yet delicious libations. During the summer months, I wish to be two thing...These evidence-based tips can help you understand and overcome emotional pain, including grief, depression, and anger. Emotional pain can feel as present and overwhelming as physic...Ex 6.2, 7 Show that 𝑦 = log (1 + 𝑥) – 2𝑥/ (2 + 𝑥) , 𝑥 > – 1 , is an increasing function of 𝑥 throughout its domain.Given 𝑦 = log (1+𝑥) – 2𝑥/ (2 + 𝑥) , 𝑥 > –1We need to show that y is strictly increasing function for 𝑥 > –1 i.e. we need to show that (𝒅𝒚 )/𝒅𝒙 > 0 for 𝒙 …Algebra Graph y=1/2x+2 y = 1 2 x + 2 y = 1 2 x + 2 Rewrite in slope-intercept form. Tap for more steps... y = 1 2x+ 2 y = 1 2 x + 2 Use the slope-intercept form to find the slope and …

Definition 11.6.1. A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.

Let the transformation be f (x,y)= (f 1(x,y),f 2(x,y)). The line y = 3 is mapped to x= 0 so f 1(x,3)= 0 for all x. This means that we can set f 1(x,y)= M 1(y −3) for a some constant M 1 ... Find the minimum value of x2 + y2, where x,y are non-negative integers and x + y is a given positive odd integer. Since x2 +y2 = 21 ((x+y)2 +(x−y)2) the ...

y = x2 y = x 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,0) ( 0, 0) Focus: (0, 1 4) ( 0, 1 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −1 4 y = - 1 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. Then, the surface area of the surface of revolution formed by revolving the graph of g(y) around the y − axis is given by. Surface Area = ∫d c(2πg(y)√1 + (g′ (y))2dy. Example 6.4.4: Calculating the Surface Area of a Surface of Revolution 1. Let f(x) = √x over the interval [1, 4]. y = x2 - 2x - 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (1, - 3) Focus: (1, - 11 4) Axis of Symmetry: x = 1. Directrix: y = - 13 4. Select a few x values, and plug them into the equation to find the corresponding y values. Divide 1, the coefficient of the x term, by 2 to get \frac{1}{2}. Then add the square of \frac{1}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square.The area of the region between the curves is defined as the integral of the upper curve minus the integral of the lower curve over each region. The regions are determined by the intersection points of the curves. This can be done algebraically or graphically. Area = ∫ 1 −1 −y2 +1dy−∫ 1 −1 y2 −1dy A r e a = ∫ - 1 1 - y 2 + 1 d y ... Algebra. Graph x^2+y^2=1. x2 + y2 = 1 x 2 + y 2 = 1. This is the form of a circle. Use this form to determine the center and radius of the circle. (x−h)2 +(y−k)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2. Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x-offset ... plot x^2+y^2<1 and y>x. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….

solve y' = y^2 x. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, …Definition 11.6.1. A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.Since, as we just wrote, every linear equation is a relationship of x and y values, we can create a table of values for any line. These are just the x x and y y values that are true for the given line. In other words, a table of values is simply some of the points that are on the line. Example 1. Equation: y = x + 1 y = x + 1.Equating the denominator ... Show that y = x2+12x lies between −1 and 1 inclusive. Your second and third approaches are workable, but they lack the part proving that the fraction otherwise is between −1 and 1. For the second you use the …0. As x x does not appear explicitly (the equation is autonomous), we can solve for x(y) x ( y) instead of y(x) y ( x), and that gives us. 1 x′(y) =y2 + 1 1 x ′ ( y) = y 2 + 1. or. x′(y) = 1 1 +y2 x ′ ( y) = 1 1 + y 2. with the initial condition x(0) = 0. x ( 0) = 0. Share.First Point: For #x = 0# #y = (1/2 xx 0) - 2# #y = 0 - 2# #y = -2# or #(0, -2)# Second Point: For #y = 2# #y = (1/2 xx 2) - 2# #y = 1 - 2# #y = -1# or #(2, -1)# We can next plot the two points on the coordinate plane: graph{(x^2+(y+2)^2-0.025)((x-2)^2+(y+1)^2-0.025)=0 [-10, 10, -5, 5]} Now, we can draw a straight line through the two points to ...

Algebra. Graph y=x^ (1/2) y = x1 2 y = x 1 2. Graph. y = x1 2 y = x 1 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Divide both sides by cos2(x) to get: cos2(x) cos2(x) + sin2(x) cos2(x) = 1 cos2(x) which simplifies to: 1 + tan2(x) = sec2(x) Answer link. See explanation... Starting from: cos^2 (x) + sin^2 (x) = 1 Divide both sides by cos^2 (x) to get: cos^2 (x)/cos^2 (x) + sin^2 (x)/cos^2 (x) = 1/cos^2 (x) which simplifies to: 1+tan^2 (x) = sec^2 (x)

This is how the solution of the equation 2 x 2 − 12 x + 18 = 0 goes: 2 x 2 − 12 x + 18 = 0 x 2 − 6 x + 9 = 0 Divide by 2. ( x − 3) 2 = 0 Factor. ↓ x − 3 = 0 x = 3. All terms originally had a common factor of 2 , so we divided all sides by 2 —the zero side remained zero—which made the factorization easier.Print lines of output; each line (where ) contains the of in the form: N x i = result. Sample Input. 2 Sample Output. 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2 x 4 = 8 2 x 5 = 10 2 x 6 = 12 2 x 7 = 14 2 x 8 = 16 2 x 9 = 18 2 …Get ratings and reviews for the top 7 home warranty companies in Grapevine, TX. Helping you find the best home warranty companies for the job. Expert Advice On Improving Your Home ... Algebra. Simplify (1/x+1/y)/ (1/ (x^2)-1/ (y^2)) 1 x + 1 y 1 x2 − 1 y2 1 x + 1 y 1 x 2 - 1 y 2. Multiply the numerator and denominator of the fraction by y2x2 y 2 x 2. Tap for more steps... y2x2(1 x + 1 y) y2x2 ( 1 x2 − 1 y2) y 2 x 2 ( 1 x + 1 y) y 2 x 2 ( 1 x 2 - 1 y 2) Apply the distributive property. Describe the Transformation y=1/(x^2) Step 1. The parent function is the simplest form of the type of function given. Step 2. Assume that is and is . Step 3. The transformation from the first equation to the second one can be found by finding , , and for each equation. Step 4. Find , , and for . Step 5.The binomial theorem is the method of expanding an expression that has been raised to any finite power. A binomial theorem is a powerful tool of expansion which has applications in Algebra, probability, etc. Binomial Expression: A binomial expression is an algebraic expression that contains two dissimilar terms. Eg.., a + b, a 3 + b 3, etc.20 May 2016 ... sqrt(x + y) = 1 + x^2y^2, Find dy/dx by implicit differentiation.

After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x+3=15: 2(6)+3 = 15. The calculator prints "True" to let you know that the answer is right. More Examples Here are more examples of how to check your answers with Algebra Calculator. Feel free to try them now. For x+6=2x+3, check (correct) …

The area of the region between the curves is defined as the integral of the upper curve minus the integral of the lower curve over each region. The regions are determined by the intersection points of the curves. This can be done algebraically or graphically. Area = ∫ 1 −1 −y2 +1dy−∫ 1 −1 y2 −1dy A r e a = ∫ - 1 1 - y 2 + 1 d y ...

Graph y=(x-1)^2. Step 1. Find the properties of the given parabola. Tap for more steps... Step 1.1. Use the vertex form, , to determine the values of , , and . Step 1.2. Since the value of is positive, the parabola opens up. Opens Up. Step 1.3. Find the vertex. Step 1.4. Find , the distance from the vertex to the focus.You can use this Linear Regression Calculator to find out the equation of the regression line along with the linear correlation coefficient. It also produces the scatter plot with the line of best fit. Enter all known values of X and Y into the form below and click the "Calculate" button to calculate the linear regression equation.gradient\:y^{2}z+2xz^{2},2xyz,xy^{2}+2x^{2}z ; gradient\:x^{2}+y^{2}+2xy,\:\at(1,2) Show More; Description. Find the gradient of a function at given points step-by-step. gradient-calculator. en. Related Symbolab blog posts. Advanced Math Solutions – Integral Calculator, the complete guide.Ex 5.7, 16 (Method 1) If 𝑒^𝑦 (x+1)= 1, show that 𝑑2𝑦/𝑑𝑥2 = (𝑑𝑦/𝑑𝑥)^2 We need to show that 𝑑2𝑦/𝑑𝑥2 = (𝑑𝑦/𝑑𝑥)^2 𝑒^𝑦 (x+1)= 1 Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑(𝑒^𝑦 (x+1))/𝑑𝑥 = (𝑑(1))/𝑑𝑥 𝑑(𝑒^𝑦 (x + 1))/𝑑𝑥 = 0 Using product rule in ey(x + 1) As (𝑢𝑣)’= 𝑢’𝑣 + 𝑣’𝑢 where u = ey &Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 0 2 1 x y 0 0 2 1. Graph the line using the slope and the y-intercept, or the points. Slope: 1 2 1 2. y-intercept: (0,0) ( 0, 0) x y 0 0 2 1 x y 0 0 2 1. Free math problem solver answers your algebra, geometry, trigonometry ...Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...The SBA is offering low-interest federal disaster loans for working capital to small businesses in Washington impacted by severe storms, flooding, and freezing conditions. The U.S....A single $5.4 million trade on credit-default swaps tied to Deutsche Bank's debt likely drove a $33 billion decline in European banks' market value. Jump to Last week's sharp decli...

Input fractions. 1/2 x 1/2. This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Graph y=(1/2)sin(x+pi/2) Step 1. Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift. Step 2. Find the amplitude . Amplitude: ... Step 6.5.2.1.3.2.4. Divide by . Step 6.5.2.1.4. Subtract full rotations of until the angle is greater than or equal to and less than . Step 6.5.2.1.5. The exact ...Graph y=x^2-1. Step 1. Find the properties of the given parabola. Tap for more steps... Step 1.1. Rewrite the equation in vertex form. Tap for more steps... Step 1.1.1. ... Step 2.1. Replace the variable with in the expression. Step 2.2. Simplify the result. Tap for more steps... Step 2.2.1. Raise to the power of . Step 2.2.2. Subtract from .This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Question: QUESTION 12 For the data below, compute the Pearson correlation. X Y 1 2. QUESTION 12. For the data below, compute the Pearson correlation. X. Y.Instagram:https://instagram. taylor swift lisbon ticketstucker carlsonyoutubeholly ava onlyfans leakedsam's club crystal lake il gas prices You can use this Linear Regression Calculator to find out the equation of the regression line along with the linear correlation coefficient. It also produces the scatter plot with the line of best fit. Enter all known values of X and Y into the form below and click the "Calculate" button to calculate the linear regression equation. lolalytics sennasons of anarchy tv series wiki Algebra. Graph x^2+y^2=1. x2 + y2 = 1 x 2 + y 2 = 1. This is the form of a circle. Use this form to determine the center and radius of the circle. (x−h)2 +(y−k)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2. Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x-offset ... stanley newman printable crossword puzzles A single $5.4 million trade on credit-default swaps tied to Deutsche Bank's debt likely drove a $33 billion decline in European banks' market value. Jump to Last week's sharp decli...y=2x-10 Geometric figure: Straight Line Slope = 4.000/2.000 = 2.000 x-intercept = 10/2 = 5 y-intercept = -10/1 = -10.00000 Rearrange: Rearrange the equation by subtracting what …Describe the Transformation y=1/(x^2) Step 1. The parent function is the simplest form of the type of function given. Step 2. Assume that is and is . Step 3. The transformation from the first equation to the second one can be found by finding , , and for each equation. Step 4. Find , , and for . Step 5.