Evaluate the double integral Answer: z²y dA, where D is the top half of the disc with center the origin and radius 6, by changing to polar coordinates.

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: 6. lim *+ os x ln(x - π) In (ex - e)

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Q: 13. Find the intersection of [x, y, z]= [-8,-3,-5] + t[1,2,-1] and [x, y, z]= [1,9,4]+s[2,1,7].

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Q: The indicated function y(x) is a solution of the associated homogeneou Yp(x) of the given…

A: We will solve the given differential equation.

Q: Find the maximum and minimum values of f(x, y) = x² + 2y² on the quarter circle x² + y² ≤ 4 with r,…

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Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 9xy³. fiz(x, y) fry (x, y) =…

A: To find out the double partial derivatives.

Q: The first three Taylor polynomials for f(x)=√9+x centered at 0 are po (x)=3, P₁ (x)=3+, and…

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Q: Determine whether the given set of functions is linearly independent on the interval (-0⁰, 00).…

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Q: Given the demand function q = 220-3p, calculate the elasticity of demand when p = 62. A. 0.46 B.…

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Q: Current Attempt in Progress Let 0-1 Find the following limits. Type NA in case the limit is…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: 9. 23/2 3√x+1 - S dx

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Q: 3/2 1/2 q q 1 2 dq

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Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: This question can be solved using the concept of maxima and minima.

Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: The indicated function y1x is a solution of the given differential equation.By using the reduction…

Q: [Fid F. dr, where C is given by the vector function r(t). C F(x, y, z) = (x + y2) i+xz j + (y +z) k,…

A: NOTE: Refresh your page if you can't see any equations. here we have ................(1) so we have…

Q: Graph the following reciprocal functions. Start by graphing the function in the denominator. Show as…

A: Here we have to graph the given function

Q: Find f'(x) when f(x) O O O ƒ'(x) = f'(x) = f'(x) = f'(x) = f'(x) = (x² + 7) cotx 6 COSXCSCX 2xcotx −…

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Q: For the following sequence, give an explicit formula for the nth term for n ≥ 2. an 2 a₁ = 2, an+1 =

A: We are asked to find the explicit formula for the sequence.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: To find the unit vectors that satisfy the stated conditions.a Same direction as -3i+7j.u=?b…

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: Solve the differential equation by variation of parameters. y" + 3y + 2y We have found that the…

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Q: Complete parts a through c for the function below. f(x) = 3 sin 2x

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Q: 2. Calculate (4x³ – 6x² – 14) (x + 6) using long division. Show your work! -

A: Perform long division method

Q: logists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = -0.01p2 + 7p,…

A: Using double derivative test

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find the polar coordinates, 0 0, of the point given in Cartesian coordinates: (4, −4). OA) OB)…

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Q: We have verified that x² and x5 are linearly independent solutions of the following second-order,…

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Q: Use the Comparison Test to determine whether the series converges. sin²(n) n² Identify b, the series…

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Q: yP=A ex+Bex What y

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Q: Problem 1.5 Use the following graph of y = f(x) to graph each function g. (a) g(x) = f(x) – 1 (b)…

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Q: need fast

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Q: A farm costs f(x,y), where x is the number of pigs and y is the number of horses. There are 10 pigs…

A: Given fx(x, y) = 2x fy(x, y) = y2 f(10, 20) = 1,000,000 We have to estimate f(12, 19).

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: We want to find functions u₁(x) and u₂(x) such that yp = U₁Y₁+U₂Y₂ is a particular solution. We can…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: You know that d/dt f(r(t)) = 69 at t=7 if r(t) = [t, t] and d/dt f(r(t)) = 21 at t=7 if r(t) = [t,…

A: Given that , ddtfrt=69 at t=7 if rt=t,t and ddtfrt=21 at t=7 if rt=t,14-t find the gradient of f at…

Q: Replace the Cartesian equation x² + y² equation. OA) r sin² 0 = 4 cos 0 B) r = 4 sin 0 Oc) r = 4 cos…

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Q: ylindrical coordinates for the rectangular equation y = x² Entry Tip #1: To enter 0, type "theta".…

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Q: ?. Then the value of the directional derivative in the direction (-3, 4) at the point when (-1, 1)…

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Q: Consider the function. f(x, y) = 4 -1/3-2/4/20 Find Vf(x, y). Vf(x, y) =

A: Given :fx,y=4-x5-y4

Q: 7. A cylindrical tank, buried on its side, has radius 3 feet and length 10 feet. It is filled…

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Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

Q: The sonar of a navy ship detects a submarine that is 4000 feet from the ship. The angle between the…

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Q: ls help ASAP

A: Given : y = x3 and points (1,1) ,(3,27) and (4,64) Applying given transformation,

Q: Determine whether the following statement is true or false. If y = f(u) and u = g(x), then =…

A: Here, the given functions are y=f(u) & u=g(x).

Q: answer for that

A: Let's find limit of function.

Q: 6. у” – 5y' + бу = 0 I

A: We have to find the general solution of differential equation

Q: Find a basis {p (x), q (x)} for the vector space {f(x) = P3[x] | ƒ' (−1) = ƒ (1)} where P3[x] is the…

A: We have to find p(x) and q(x).