/hat trigonometric substitution should be used to evaluate A x=3 tane B None C x=3 sece D x=3sin0 E) x=3 cose

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A: Given problem:- Solve the following differential equation y'' -y=xe-x

Q: ||r'(t) x r" (t)|| Use the formula k(t) to find k(t). r(t) = eti+e*j 42 est K(t) %3D (36 el2t +…

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Q: 5/10 Question 7 of 9, Step 1 of 1 Correct -2 2 The demand function for a particular product is given…

A: Given problem:- The demand function for a particular product is given by the function D(x) =…

Q: 2n Graph the sets of points whose polar coordinates satisfy the inequalities Osrs1. Choose the…

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Q: 7) find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: What is the equation of the plane to the surface z = e3y sin(3x) +2 at the point P ,0, 3 O x - y -…

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Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: s(2) dr=3 and s (4)d. f (x)dx: =-2. what is (x)dx? Make sure to justify your answer -2 or the…

A: We can find the answer as below using property of integration.

Q: Use cylindrical coordinates to calculate SS lw f(x, y, z) dV for the given function and region: f(x,…

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Q: 5y'' + y = 0 y(x) =

A: Consider the differential equation  5y''+y=0

Q: a) fr'(2+x*)'dx bf sin(nx) dx )fx* In xdx

A: According to guidelines  we must answer only three of multipart questions. Please resubmit the…

Q: For the function f (x) = xe¬*: a) Determine the coordinates of the critical point. Use exact values.…

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Q: Find div F and curl F if F(c, y, z) = 10e*Y i – 9 cos yj+ 4sin? z k. div F= curl F=

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Q: Determine the following limit at infinity. lim (- 12x-8) Select the correct choice below and, if…

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Q: Starting from the same point, Reden starts walking eastward at 60 cm/s while Neil starts running…

A: To find out the rate of change if distance between Reden and Neil after 2 seconds.

Q: EVALUATE. 2022 a) x n (xl dx dx 2x+3x+7 dx (x+1) (x² +S)

A: This question can be solved by applying the concepts of indefinite integrals.

Q: Find curl (8z i + 9x j+ 10y k). curl(8z i + 9x j + 10y k) = ( i )i +(i j + ( %3D i )k

A: solution is given below

Q: (a) When you solve an integer programming problem (suppose it is a maximization prob- lem), how do…

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: 7. Find the area of the shaded region. Give the exact value for the answer. V = = sec?x y = cos x 4

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Q: Use substitution to find the Taylor series at x 0 of the function 4 sin (-x). Choose the correct…

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Q: Suppose f(x) = x² – 10x + 1. Compute the following: - A.) f( – 2) + f(4) = B.) f( – 2) – f(4) = -

A: Given query is to find indicated function value.

Q: Use a local linear approximation of the function f(x) = Vr cos[(V2x)] approximate v3.98…

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Q: S" cos de 4. 2 dx .2 -1 1+x² 5.

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Q: Find V. (V × F) if F(x, y, z) = 7 sin xi + 2 cos(2x – 3y)j+ 6zk. V·(V × F)

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Q: The surface area of a spherical snowball is increasing at a rate of 9 mm²/min. Find how fast the…

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Q: 25. The graph of y = a* +b is shown below. Find the EXACT values of a and b. 6- (2,5) 4- 2- y = a*…

A: This question is based on substitution of points.

Q: EX2 Compute the secand erder partial Jerivative Fx ち,ち~ and a)

A: " Since you have asked multiple  question we will solve first one for you. Please ask specify…

Q: 6) Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: d Calculate ri(t) r2(t)] and rı(t) x r2(t)] first by differentiating dt the product directly and…

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Q: Calculate z=e^-a sin(x)+10 √y  for a=5 , x=2 and y=8 in decimal value

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Q: x*dx Using trigonometric substitution, (1+x²) 3 tan ode A sece sin ode B coso tan ode sec20 sec 9d0…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Evaluate the double integral. 7x?sin ydA; Ris the region that is bounded by y = x³, y = -x', and y =…

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Q: 5. Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 – x} about the x-axis.

A: Surface area

Q: (e) for tue ginen point in poler coordiinetes , fird tue comespandy ctenquler Coorelinetes fer tue…

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Q: Find out whether the series given below converges or diverges. 00 Σ 5n + 8 n = 1 Choose the correct…

A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: 8. Find the volume of the solid generated by revolving the shaded region about x-axis. 10+y 9- y = -…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Here is a review question, do you remember how to find tangent lines? Find the equation for the…

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Q: Water is being poured at the rate of 2z m' /min into an inverted conical tank that is 12-meter deep…

A: We need to find rate of water leaking.

Q: the radios of Cnvergente and the lInterval of conergence of the Pouer series (x-2)" n2 +1

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Q: Write a definite integral for the area of the region bounded by y = 2 - x² and y = x2. Do not…

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Q: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

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Q: Let f (æ) = (In(z³ + 1))". Find the slope of the tangent line at x = 1. (Give your final answer as a…

A: The slope of tangent to a curve y=f(x) at a point x=a is given by f'(a)

Q: Find curl (3z i + 4x j+ 2y k). curl (3z i + 4x j+ 2y k) = ( Di + ( j +( )k

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Q: A manufacturer has a steady annual demand for 15,190 cases of sugar. It costs $5 to store 1 case for…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti + tj dt

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Q: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, find the…

A: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, then we have…

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $546 each for 83…

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