Find the area of the surface generated by revolving the given curve about the y-axis. I = 5y + 5, 0

Q: An exponential function has a growth factor of 1.07. What is the percentage growth rate?

A: Let's understand with the help of an example. Let salary of a person increases by 25% per year and i...

Q: • y=3 •x= /9– y² Consider the integral (2² + y?)*/*dæ dy. - 3 Jx=0 a) Using the bounds of integratio...

A: To solve the following integral using polar coordinates

Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A:

Q: At which point/s (value/s of x) is the function continuous but not differentiable? -4 2 4 6 8 10 42 ...

A: Differentiable

Q: ( 22 – 3z + 1, z < 3 14- 2, *23 valuate the following limits for h() = and Justify your answer.

A:

Q: - 1] Q2 a. Find the eigenvectors of the matrix b. Solve the ordinary differential equation: dy Y-e d...

A:

Q: Select ALL possible answers if there is more than one. Which of the following statement's is/are NOT...

A: To solve the following problem

Q: 2t dt (use trigonometric substituion) V9 – 4t2 -

A:

Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

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Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

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Q: Suppose 4x2 + 16y2 = 100, where x and y are functions of t. dy (а) If dt 1 dx find when x = 3 and y ...

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Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

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Q: If f(x) = 6 cotlx + 8, then find the value of f'(-2) is %3D -2 -8 V5 8. OO O

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Q: find the approyimate Valueof 10/2

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Q: 2- 3x +8 2-X2C

A:

Q: The solution of the non-exact differential equation y dx + (3 + 3x – y)dy = 0 is: O (y^3) (1+x)-(y^4...

A: This question can be solved using the concept of linear differential equation.

Q: Calculate the sum of the series a, whose partial sums are given. n = 1 n2 - 1 S. 5n2 + 1

A:

Q: logarithms to find an exact solution for   ln(5)+ln(5x2−3)=ln(154).   If there is no solution, e...

A: Given query is to find the value of x.

Q: Let w = xey/z, where x = t², y = 1-t, and z = 1+ 2t. Use the chain rule to find X. (Write your answe...

A: Given query is to find the derivative.

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a, b]...

A: Topic:- calculus

Q: Evaluate: x?sin2x dx A - 2x?cos2x+2xsin2x - cos2x +C 4 2x?cos2x - 2xsin2x+ cos2x -+C B 4 2x?cos2x + ...

A:

Q: t Determine f'(1) if ƒ (t) = log10 %3D t+1

A: Given: - The function is, f(t)=log10tt+1 To determine: - The solution of f'(1).

Q: 700 find the following. For the demand function q = D(x) = - a) The elasticity b) The elasticity at ...

A:

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

A:

Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road ...

A: Solution: A police car is 60 feet to the side A red car 130 feet up the road  

Q: Find the area bounded by the parabolas (x 1) 4ay and y2 + 4a = 4ax.

A:

Q: find the afproyimate Value of: (3.01)*+(5-98)²+(2.03)?

A: solution

Q: ( 2² – 2x + 1, æ < 2 13- a, a22 Evaluate the following limits for h(a) = and Justify your answer. ()...

A:

Q: f (x, y) = xª – 2.x² + y² – 4y + 5. a) Use the second derivative test to find the critical points b)...

A:

Q: Find an equation of the ellipse that has center (-3, 4), a major axis of length 12, and endpoint of ...

A:

Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

A:

Q: solutions

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Q: Find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2)

A: We will find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2) in the following s...

Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: (주) X X Evaluate: " sin' cos* () d 4

A:

Q: Find a Cartesian equation for the curve. r = 7 sec(?)

A: Given query is to find the Cartesian equation if the curve.

Q: Evaluate: S,(3y6 + 8y* – 9y2)dy 2

A: Given query is to find the value of the integral.

Q: 15. The following broken-line graph displays the depth of snow over a 2-day period. Depth of Snow 40...

A: To find out the rate of snow falling for first 6 hours. 

Q: 5 dA over the region R = {(x, y) | 0 < I< 5,0 < y < 3} by identifying it as the volume of a solid.

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Q: find eigen value of matrix A 3 -2 A %3D -니 2. 2.

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Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Find the area of the region bounded by y = -x² – 6x – 3, y= -x2 – 8x – 13, x = -5, x = -2.

A:

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy -2

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x = y? + 2y – 1 ...

A: To find the volume.

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 95...

A: Given that, The demand function is following, q = 950 - 14x Where x is the price and q is the demand...

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: This question can be solved by applying the formula of linear approximation.

Q: 2x + 4, a<4 om the following results, determine whether the function f(a) = { 8, a = 4 -x + 16 a 4 i...

A: Given query is to find function is continuous or not at x = 4.

Q: 6. - fycos ydy

A:

Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the abo...

A: We will find the derivatives of the given function y=ecos2x in the following step.