2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

Q: Find y' if x = y*. 4.

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Q: The expression p sin ø cos 0 in spherical coordinates is equivalent to what expression in Cartesian…

A: given expression ρsinφcosθ

Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

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Q: y = e2a %3D

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Q: d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Verify Green's Theorem by evaluating both integrals ƏN y2 dx + x² dy dA ay for the given path. C:…

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Q: V16-x polar coordinates to evaluate [' [" V16-x 4.) Use y tan™

A: Let's find.

Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: A 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system is then…

A: Given that a 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system…

Q: Written Homewo 1) Find the zeros and maximum value of r 2+4 sin 0.

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Q: evaluate the following integrals:

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Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: 4. Find all real values of x such that |x-1| : Ix+11. O (00,-1| O (00,0) O 1,0) O 1,1) None of the…

A: Given query is to find the value of x.

Q: A cylindrical container with a circular base and open top must have a volume of 1000 m³. Find the…

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Q: fa |(1 + 63*(6) ds 25 – x² (– 2x) dx

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Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

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Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: To rewrite the integral ∫010∫031-z10∫071-y3-z10 dx dy dz in the order dz dy dx

Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

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Q: wastebasket has a wire circle for the top and bottom, and six straight wire rods that hold the top…

A: Find your answer below

Q: The triple integral SLS (x+2y – 2)dxdydz is equal to -8 -1

A: This can be solved as follows:

Q: Question An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a…

A: An open‐top box is made from a 12‐inch by 42‐inch piece of plastic by removing a square form each…

Q: 1) Evaluate lim 10. Vx-5 x-25 x25 Show every step.

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Q: -3 -2 -1 1 2 4 8 16 32 64

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Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: Find the consumer's and producer's surplus if for a product D(x) = 16 0.006z and S(r) = 0.003r2…

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Q: Consider the diagram shown below. Suppose that O = (0, 0) and A = (3.5, 0) and B = (2.91, 1.95). The…

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Q: 1 Calculate the difference quotient for f(x) = at a = 4. V2x + 5 (Express numbers in exact form. Use…

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Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: Let R be a variable and r a constant. Compute the derivative. d :(° · R') = dR

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Q: Consider the double integral ° S sin a dy dx. What conclusion can you make about the value of this…

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Q: er each series is conditionally convergent, absolute (-1)" n n! c) E n'+1 2 '100"

A: We have to find the nature of the series according to the given information

Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph…

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Q: Šolve the optimization problem. Maximize P xyz with x + z = 9 and y + z = 9, and x, y, and z > 0.…

A: Note thate there are three variables and our goal is to express two of those as a function of…

Q: 1. Find the Fourier Transform of - 1 1 f(t) = -1

A: As per the guidelines I can solve only first question

Q: Let f(x) = (8x2 + 6x + 11)/(7 - 7x²). The horizontal asymptote is given by y = ? Round your answer…

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Q: What are the 4 cases of partial fraction decomposition?

A: What are the 4 cases of partial fraction decomposition?

Q: Find the nth derivative of y = In(16x2 – 9).

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Q: 24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

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Q: Find of the following equations: dx 4 a. y = -3x² + 7x² + ln 8x)"

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Q: Find the area of the shaded region shown in the graph. y-13 sin e 13 cos x The area of the shaded…

A: Given: Let us first find the common element.            13sinx=13cosx⇒13tanx=13⇒tanx=1⇒x=π4

Q: 14x + 1250 The average cost for a company to produce x units of a product is given by the function…

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Q: Find y ' if xº = y* .

A: Given problem:- xy =yx  To find:- y'

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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