te ove (2y – x) dx dy 16-y2 12. -4

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x – x°...

A:  

Q: Interpret the standard curve below. 1.4 1.2- 1.0 - 0.8 0.6 0.4 0.2 0.0 200 400 600 800 1000 1200 140...

A: Explanation of the answer is as follows

Q: 1+ 2+...+n 2. Let n be a positive integer. Evaluate lim if possible. If not possible, explain n2 why...

A:

Q: Find the scalar and vector projections of b onto a. a = i + j + k,   b = i - j + k

A: Given vectors, a = i + j + k,   b = i - j + k

Q: 2. Find the interval of convergence of En=1 n(n+1)

A:

Q: 3 The 9 ft wall shown below stands 30 feet from a building. Find the length of the shortest Straight...

A:

Q: Compute the partial derivative: f(x, y) = sin(x® – 5y) fy(0, T) =

A:

Q: 5. Find solution of the system of linear equations. Write clean, and clear. Show steps of calculatio...

A: This question is based on solution of system of linear equation using matrix.

Q: x=r' +1, y=r -t d'y b) Find dx?

A: Given: x=t3+1y=t2-t To Find:  To find d2ydx2.  

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (4, 5,-2), v = (3,...

A:

Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: Find the amplitude, period, and horizontal shift of the function. y = −9 sin (2(x + ?/2

A: Given:    y=-9 sin2x+π2

Q: Calculate the following double integral, where R = [1,3] × [1,2]: 1 dA. 1+ x + y R

A: Given÷

Q: Consider the following planes. 5x + 6y – z = 66 x - 12y + 2z = 0 (a) Find the angle between the two ...

A:

Q: FIND THE LIMIT USING SQUEEZE THEOREM. SHOW SOLUTIONS. sin x limy→o\

A:

Q: Using Newton's divided difference formula, find the missing value from the table: 14 15

A: Solution of question is written in below steps.

Q: _4. (x- y)? =x+ y - 1 _5. 2xy = 3 _6. -x x-y _7. _8. ye = In(xy) xe = In y 9. (y - 5)? = 8(x – 3)

A:

Q: Use the given graph of the polynomial function to complete the following. (a) The x-intercepts are (...

A:

Q: f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) =

A: follow next step

Q: Find the slope-intercept form of the equation of the line that has the given slope m and passes thro...

A: Topic = Coordinates geometry

Q: Find the valuU of a and b so that the following funchion is continu ous evrguhere- f6)=Dax+b 3x 41三x...

A:

Q: Calculate the derivative using implicit differentiation: dw x'w + wt + wz² + 4yz = C dz ||

A: Given problem:-

Q: Find the characteristic equation and fundamental solution set to the di fferentinl equation 4 +4

A:

Q: Find the minimum and maximum values of the function f(x, Y, z) = 3x + 2y + 4z subject to the constra...

A:

Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv= ...

A: Integration by parts

Q: cos400 de J3- sin40

A:

Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +...

A:

Q: Find the exact area of the surface obtained by rotating the curve y =-x", 3 0<x<12, about the y-axis...

A:

Q: Find an equation of the plane that is normal to the surface Iz + yz? = 2+ yz at the point (2,-1, 1).

A:

Q: Determine the solutions to the following problems: dP = 2P – 10 dt dB — 0.001В — 200, B(0) — 100000 ...

A:

Q: The new dolphin tank at the city aquarium is in the shape of a rectangular prism. It is 25 yd long b...

A: It is given that,   1 yard = 3 feet Length = 25 yd = 75 ft Width = 14 yd =42 ft Depth = 5 yd = 15 ft...

Q: 9. Let a be a positive value. State the integral test, and use this to determine whether > -an e n=0...

A:

Q: y" + 2y' + y = 7 + 75 sin 2x

A:

Q: Suppose that a fruit stand exclusively sells apples and oranges. If the owner puts x apples and y or...

A:

Q: Given f(x, y, z) = ry' z°. Which of the following is the gradient vector of f at the point (1,-1,-1)...

A:

Q: How to find the antiderivative Integral 13x cos (-3x + 1) dx

A:

Q: Given F(r, s, t) = r(3s² + 3t²), compute: Frst

A: Solution of question is written in below steps.

Q: Use the integral test to determine whether the following is convergent or divergent. Σ

A:

Q: 3 The name of a straight line that just touches a curve at point A but does not cross the curve at p...

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xcos2y dx + tany dy = 0

A:

Q: Consider the following graph. y 5 -3 -2 -1 3 -5 -10 Identify the parent function represented by the ...

A: Given problem:-

Q: x2ex b. Evaluate lim by using T.E. X-0 CoSX-1

A:

Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

Q: 7 f (x) = VE .A is the point (4, 2). Which one of these is an equation of the tangent through point ...

A:

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

A:

Q: ax +b, if15メ<2 Find the values of a and b so that the following function is continuous evergwhere- x...

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

A:

Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

A:

Q: Differentiate y = sin (x-y)

A:

Q: Evaluate the following Integrals: 1. J 6x2 sin x³ dx J sec 3x tan 3x cos (sec 3x) dx 3. S у csc3y? c...

A: The objective of the question is evaluate the indefinite integrals.