If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB. a)  AB= (-7, 5, -7)   b)  AB = (-1, 9, 11)   c)  AB = (-12, 14, 18)   d)  AB = (7, -5, 7)

Q: Use MUPAD to determine the following indefinite integrals (7.1) (7.2) (2ax-x²)³ dx. S (7.3) Obtain a…

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Q: f(x, y) = 6√√√x – y²e- - a) b) y²e-3ry + | co y Find f and fy. Evaluate fazy (4,-1).

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Q: Question 2 [ Given the function xye* f(x, y) = 2x³ +50y² a) Find the domain of f. b) Find exist. lim…

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Q: The matrix The larger eigenvalue A-0 has multiplicity 1 0 has two real eigenvalues A, < A. Find…

A: The eigenvalues of A are the roots of the characteristic equation detA-λ I=0 So,…

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Q: lower sum upper sum Function f(x) = 9 - 2x s(n) = S(n) = Interval [1, 2]

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A: To find out the vector product.

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A: This question is based on two variable limits.

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A: To determine whether the given statement is True or False.If z=x-2y, and x=2t, y=5t, then the value…

Q: Solution is incorrect. Please correct it.

A: dydx=6y18+9x2y18⇒dydx=6y18(1+9x2)⇒y18dy=6(1+9x2)dx

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A: We can find the correct answer by checking the individual options as below.

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A: topic- application of derivatives

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A: Let fx, y=x5-4xy2x2-2ya To find the first partial derivatives of f.b To determine whether the limit…

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A: The given function is f(x)=sin(x) We need to solve for, f(x)=0 using Newton's formula:…

Q: f(x, y) = 6√x - y'e a) b) -3xy + Find f and fy. Evaluate fazy (4,-1).

A: Given f(x,y) =6x -y2 e-3xy+3y

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A: We know :- If we approach along y axis the x=0

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A: We have to discuss about valid triple integral.

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A: We need to choose correct option.

Q: If f(x, y) = 2√√x² + y2 - 16, then the domain of f is the set D = {(x, y) x² + y² ≤ 16}. Select one:…

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Q: 1. The two graphs below (X & Y) show two functions from our library of common functions. For each…

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Q: 2. Evaluate x² dx (x-1)(x² + 4x + 5)

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Q: The limit exists and is equal to 0. Select one: O True O False lim (x,y) →(0,0) 36x²+25y² 6x+5y

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Q: Given: In (sin² 3t) = e = arc cot (w) Find: dw dt O(1+w²) (6cot (36) e) [ Oet+w²et - 6tan (3t) - 6w²…

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Q: Ja Inadr

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Q: 3. (x² + y²)dx - 2xydy = 0 [Answer: x²-y² = cx]

A: Here we use the method of substitution y=vx then dydx=v+xdvdxsee below the calculation and…

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A: Given: f(x,y)=y+1y1−x2 The domain of functions of two variables, f(x,y) are regions from two…

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Q: Use the Integral Test to determine whether the following series converges after showing that the…

A: The given series,    ∑k=1∞35k+23

Q: (a) lim tan coth an [ coth()] -0+I

A: Solution is given below:

Q: Given f(x) (x + 21 -x² 4 x < -1 -1 < x < 2 x ≥ 2 a. Evaluate f(-3) b. Evaluate f(-1) c. Evaluate…

A: We need to find values of function.

Q: Use an appropriate test to determine whether the series converges. k² +3 2 k + 3k +2 2k²+1 Σ k=1

A: The given series,        ∑k=1∞k2+3k+22k2+1

Q: Use an appropriate test to determine whether the series converges. Σ k=1 By the 9 k 12 9 this series

A: Please see the below picture for detailed solution.

Q: If then fxx = Select one: True False 2(y² + y) (y - x)³ f(x, y) = x + y² y-x

A: According to question,Given Function,fx, x = x + y2 y-x

Q: Given the graph of f, find any values of x at which f' is not defined. A 44 SOU OA. x= -1, 0, 1 OB.…

A: Solve the following

Q: If -9x+7y √6-x²-y² f(x, y)= then the domain of f is equal to D = {(x, y)| x² + y² < 6} Select one: O…

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Q: The annual number of passengers going through Hartsfield-Jackson Atlanta International Airport…

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Q: Work Problem for the question. Let where x = t = -1. You must provide a clear and detailed solution…

A: Please see the below picture for detailed solution.