4. Find the flux of F across S if F = yi-xj+2zk and S is the hemisphere x² + y² + z² = 4, z ≥ 0, with positive orientation.

Q: A2. Find the third order de a. F(x) = 3x³ - 5x + 1 Y=3t+2et b. c. Find the Inverse F

A:

Q: Simplify. -4 1 5 -3 ㅇ 2 24 -2 6x -13 28 이 ㅇ 5 -12 05 2 2-4 6 11 0 %] -18 -18 -6, 00 2 16 -2 -6-13 -8…

A: H=-415-3.0-522-46

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Q: Find the work required to move an object in the force field F = (1,1,2) along the straight line from…

A: Solution is given below:

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Q: find the derivatives of the functions using the product rule. 1. √√625x² ⇒ √625 - x² x20 2.

A:

Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

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Q: Evaluate sinh -1(4/3)

A: Given: sinh-1(4/3)

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Q: 1. Practice similar Help me with this Determine whether the integral is divergent or convergent. If…

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Q: Find the linearization L(x) of the function at a. 3 f(x) = √√√x, X, L(x) = a = 125

A:

Q: Consider the following function: Step 1 of 4: Determine f'(x) and f"(x). Answer f'(x) = = + 27x + 15

A: The given function is f(x)=-14x4+27x+15

Q: 2 2 X-9 Find lim- a. x→3+ as b. x→3 C. X→-3+ d. x→-3

A:

Q: The distance that an object falls varies directly as the square of the time it has been falling. An…

A: given distance varies directly as the square of the time let distance is d and time is t

Q: Evaluate the following integral using a change of variables. y-x SS(+2x+1)* y + 2x + 1 R 4…

A:

Q: 20 Let f(x) = 3x + Then the equation of the tangent line to the graph of f(x) at the point (2,11) is…

A: The given function is fx=3x+20x2 and the point is 2,11.   The objective is to find the equation of…

Q: x 17. f. 1+2 dx -∞1+x² 18 1 dx

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

Q: Find exactly the vector oppositely directed to v = (5) and half the length of v. i >

A: Given, Vector ,v = 5

Q: Find the tangent plane to the equation z = z = > Next Question 5e² -2y at the point (4,8, 5)

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Q: question is not answered

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Q: Consider the following series. lim n→ ∞ 00 n = 1 Use the Limit Comparison Test to complete the…

A: We need to check the convergence of the series by the use of limit comparison test.

Q: Find the indefinite integral dx (3+5r)2 dx

A:

Q: Simplify sech (3 ln (2x))

A: K=sech(3ln2x)we know sechx=2ex+e-xwe know  elnx=x

Q: Compute the integral [31 f(x)dx, where the graph of f is the red curve given in the following…

A:

Q: Find f-1 (x) for f(x) = - 5 3x-2 O f-¹(x) = ³xx 3x-2 5x O f-1(x) = -3x + 2x 5 3x 2 O f-¹(x)= ³x-² 5…

A: In this question, we want to find the inverse of the given function.

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

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Q: Question 4 For the integral: Write the integral again as: 0 0 x+2y+1 --LIT- V = -1 -(x+1) ? ? ? v =…

A:

Q: r = ep 1 - ecose

A: Given    r=ep1-ecosθ

Q: Find the acute angle (in degrees) between the planes x + 3y - 5z = - 6 and 2x + y 4z = 9. Question…

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Q: fraction method S (3x² + 4) d x (x + 4)(x² + 4)

A:

Q: At what point on the curve y = 8 + 2ex - 4x is the tangent line parallel to the line 4x - y = 1? (x,…

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Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: To determine the convergence of the integral

Q: Find + 12 10 .12 [9f(x) = g(x)]dx if [9f(x) = g(x)]dx = i 12 [2² 10 f(x)dx = 9 and 12 10 g(x)dx = 8.

A: integration

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Q: Differentiate the function. A z(y) : + Bey 9

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Q: f(n)(x) = = (−1)n+13n (n − 1)! (3x + 5)

A: Consider a statement P(n), where n is a natural number. To validity of P(n) for every n, use the…

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A: According to question,Given curves,x+y =2,x = y2

Q: hoice as needed.

A:

Q: 1-47 Evaluate the integral. 1. fsin'x cos³x dx 2.

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

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. O 1747 840 1171 280 1747 420 1171

A: Solving the following problem

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A: To find the limit by rewriting the fraction first. limx, y→1, 6 xy-y-4x+4x-1 where, x≠1

Q: 12. fx²e-x dx 13. fx√x² - 4 dx 14. cos √t dt

A: The given integrals are;  13) x sqrt(x2-4) 14) cos[sqrt(t)].

Q: Calculate the Wronskian, W(y₁, ₂'' 1 if the set is linearly independent or not. 1. y₁ = sin2x, y₂ =…

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

Q: Evaluate the line integral Vp dr for the following function p and oriented curve C (a) using a…

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Q: - Q3. Find the point on g(x) = 2x(x − 3) whose slope is 6.

A: To find the point on gx=2xx-3 whose slope is 6.