Which of the following correctly changes the integral rdrde from polar coordinates to rectangular coordinates? V4-y2 dxdy (а) dxdy (b) ²+y²=4 dxdy Cr=0 (c) dxdy (d) -2 Jy=0

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2, 8...

A: Formula to find directional derivative of the function F at a point P(x,y,z) in the of a unit vector...

Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π2. Give your answer round...

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Q: Find the average rate of change of the function over the given interval. (Round your answer to three...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: The line passes through;(x0, y0, z0)=(-1, 4, -6)parallel to direction vector:v=a, b, c= 2, -1, 0a=2,...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4 sin(x)

A: We know that logrithm property is  ln(xm) = mln(x) And derivatives of d(lnx)/dx  = 1/x    Here i att...

Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is ...

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Q: Find the angle between the two given vectors. u = (1, –4, 1), v = (0, 2, –2)

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Q: Directions: Find the extrema of the following function on the given interval, and determine the valu...

A: Since you have posted multiple questions which are not interlinked i can do first question as per ou...

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

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Q: ||v|| = 1 %3D ||w|| = 5 %3D The angle between v and w is 1 radians. Given this information, calculat...

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Q: Ax)

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Q: Given the system of linear equations as per picture. i. By using a form of [A][X] = [B], derive LU d...

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Q: A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 125 feet of fenc...

A: Total fencing available is 125 feet.

Q: a.y = 49x" ;find (50th derivatives)

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = 2x - x², y = ...

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Q: A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on t...

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Q: Find the linear approximation of f(x)=sin(x) at x=3π4 and use it to approximate sin(134∘). Give you...

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Q: Consider the following. u = (3, 7), v = (4, 6) %3D (a) Find the projection of u onto v. 27 13 (b) Fi...

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Q: If f(x) = 3x2 – 3x – 25, find f'(x). %3D - f'(x) = Find f'(1). f'(1) = %3D

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Q: Question 1 xi+yj+zk If F(xy,z)- Vx² + y²+z² .2 Determine Vx F

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. ye2xdx = (4 + e2x)dy

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

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Find dx by using logarithmic differentiation for = (Cos x)(e)

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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: | cos (5x) cos (3x)dx

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTION Evaluate the given integrals. Show the complete solution. Iden...

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Q: e5x cos e5x dx sin²e5x

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 + 4 (a) Find the in...

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Q: 3. Ranie makes monthly deposits at Php1,500.00 into his savings account that earns interest at 1.5% ...

A: Find your answer below 

Q: Find the volume of the solid. y=x2, x=0; x=2, y=0, about the x-axis

A: use the volume of solid of revolution formula,

Q: write the equation in spherical coordinates a) 3x2 − 4x + 3y2 + 3z2 = 0

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Here we have to maximize the area.

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

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Q: Convert the equation to polar form. 3x = 3y Зу 3r(cos 0 – sin 0)

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Q: (a) lim e-" (x³ – x² + 9) sin x – x cos x (b) lim x→0 x – sin x (c) lim (x – In x)

A: We need to find limits. NOTE - As per Bartleby's guidelines we can solve only 3 subparts. Please upl...

Q: Alice will use all of the last 24 hours before her exam to study two different ways. Without any pre...

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x1, x2) = x +x subject to the c...

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Q: 2–3 Find |u X v and determine whether u X v is directed into the page or out of the page. 2. |v|= 5 ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 12. Construct an algorithm that has as input an integer n> 1,n + 1 points and xo, X1,…· Xn ... and a...

A: INPUT: n, x0,...... ,xn, x OUTPUT: ∏i=0n (x-xi)

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. tan2y dy = sin3x dx

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Q: Find f'(x) and f'(c). Function Value of c x2 - 9 f(x) = c = 1 X - 9 f'(x) f'(c)

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Q: is uniformly continuous by definition on the interval (-1,1) . 4 - * Show that f(x) =

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Q: 4 friends purchase an apple pie and a cherry pie to share. Each pie is $12. The 4 friends want to sp...

A: We need to choose correct option.

Q: each

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Q: termine whether the series converges or diverges. Explain your answer. Σ 7 + sin(n) n = 0

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Q: Find 2 dx *- dx x+1 4. dx 3.

A: y =(x+1/(x+1))2 y = (1/x+1)2 y = 1/(x+1) dy/dx = -1/(x+1)2   4 y = x2/(3x2 - x3) y = 1/(3 - x) dy/dx...

Q: + 9u, +18u =0:

A: Differential equation

Q: f(x+Ax)-f(x) Ay = lim Ax-0 find the derivative of the Using = lim dx Ax-0 Ax Ax following function. ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...