Use integration by parts to find the following: [(t + 7)e²t+3 dt = Hint: Use the substitution +C u=t+7 and dv = e²+3dr

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A: Given position function for the particle.

Q: Use the substitution x = 5 sint to evaluate the integral f√25 – x² dx.

A: ∫ cos(at) dt = 1asin(at) +C.

Q: Please answer the questions with steps and correct answer

A: See this solution in below.

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Q: What does fary Mean? Clues (bay of ² (0 (24)-7 e find

A: We have to find the value of fxy.

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A: NOTE: Refresh your page if you can't see any equations. .

Q: Given s(t)=t2+4t​, where​ s(t) is in feet and t is in​ seconds, find each of the following. ​a)​…

A: st=t2+4twhen t=2 sec

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A: We need to find the function for the distance traveled by the jogs as a function of the time.

Q: O Determine which limit is of an indeterminate for sin x lim X-→00 X O X-3 lim x+3x²-9 ex lim X→0 X…

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Q: Use integration by parts to evaluate the definite integral S te-t dt.

A: We need to use the integration by parts to solve the definite integral.

Q: a If the nth partial sum of a series Σ n = 1 00 Σ n = 1 m 2₁ a a = = = Submit Answer (for n > 1) is…

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Q: 9 A company's marginal cost function is where x is the number of units. Find the total cost of the…

A: We have to find the Total cost of first 49 units.   According to our guidelines we can solve only…

Q: PROBLEM SOLVING The table shows the heights y of a competitive water-skier x seconds after jumping…

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Q: Find the particular solution. 3 x(y²-1)dy + (y³ - 3y)dx = 0; when x = 1, y = 2

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Q: (a) Compute s3 of 0.0408 2 n19n6 (b) Estimate the error in using $3 as an approximation of the sum…

A: ∫xn dx = xn + 1/(n + 1) + C

Q: 3. The function gis defined on the closed interval [-4, 8]. The graph of g consists of two linear…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 2. (a) Find the Maclaurin series of cos(x4) and its interval of convergence. Write the Maclau- rin…

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Q: Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 3.8​% per year.…

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Q: Identify where on the number line 1-1.8 is located. DA ◆◆◆ -14-13 -12 -11 -10 -9-8-7-6-5-4-3-2-1 0 1…

A: identify the point where |-1.8| is located ?

Q: Question 11 Calculate V. v and V x v. v(x, y) = 5yzi + 6 xzj + 4xyk

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Q: Will sections d-h not be solved?

A: We need to solve for particle movement.

Q: The area of a healing wound is given by A = r². The radius is decreasing at the rate of 4 millimeter…

A: To find the rate at which the area is decreasing

Q: COS X xy + 4y = x3, x>0 A) y = B y = COS X + C x3 sin x + c ,X>0 X>0

A: Given differential equation xy' + 4y = cosx x3

Q: Problem 5: Find the value of c that satisfies the conclusion of the Mean Value Theorem for f(x)= x³…

A: The given function is fx=x3-4x2+3 on 0, 4. We have to find the value of c that satisfies Mean value…

Q: (1 point) For the curve given by r(t) = (8 sin(t), -1t, -8 cos(t)), Find the unit tangent T(t) = (…

A: unit normal vector  N(t)=T′(t)||T′(t)||.

Q: 10. (3t+ 2)24 dt

A: Integrate (3t+2)2.4 with respect to t

Q: 2. Find the exact value of sin TT 12, π 2 6 using a half-angle identity. Use=1/ 12

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Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

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Q: Find the average value of the function f(x) = 0.8 on the interval 0 ≤ x ≤ 4 e Express your answer in…

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Q: Graph the following function. Then use geometry (not Riemann sums) to find the area and net area of…

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Q: 5. Use the Laplace transform to solve the initial value problem. y"+y'-2y=2e³, y(0)=-1, y'(0) = 4

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Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

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Q: If a U.S. dollar purchases 90 Argentinean pesos, and a gallon of milk costs $4 in the U.S. and 120…

A: we will find the required.

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Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

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Q: If f(x) = sin(x³), find f'(x) Find f'(1)

A: See this solution in below.

Q: Einsteinium-255 is a radioactive substance that decay at a continuous rate of 1.65% per day suppose…

A: We need to find a formula that represents the amount of einsteinium-255,N as a function of t.

Q: 3-t Let F(x) = √² + 40 (a) Find the value of a where F obtains its maximum value. x = dt for -∞0 < x…

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Q: Find the integral of the following function by parts So al cos 0 + b do where a = 6.5, b = 10 in…

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Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 < 360°.) 2 1- (- √/²₁ -…

A: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 &lt; 360°.)

Q: Let s(t) = 8t³ - 12t²-144t be the equation of motion for a particle. Find a function for the…

A: NOTE: Refresh your page if you can't see any equations. . the given position function is  to find…

Q: the cost of printing,C, is a function of the nnu,ber of prints, n, the cost of making 100 prints is…

A: We have given cost of prints Cost of making 100 prints = $35 Cost of making 250 prints = $65 Let,…

Q: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

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Q: If f(y) = tan -¹ (3y²), find f'(y). Use exact values. 6y 1+9y² f'(y) = X

A: Given, f(y)=tan-1(3y2)

Q: Solve for x. Show your work, and give exact answers where possible. Otherwise, round to the nearest…

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Q: Find equations of the tangent lines to the curve y = at the point (1, 0) at the pointe, O 6) -5 -4 y…

A: The given function y=6 lnxx. We have to find equation of tangent line at the points 1, 0 and e, 6e.

Q: Find f-1 (z) for f(z) = 3+14z. Enter the exact answer. Enclose numerators and denominators in…

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Q: Given that 3 sác (a) * 812³dx = help (numbers) xdr = 4.5, 3 (b) ["² 12² 3 ». [² 2²dr = 27, and [² 3…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: A small craft in Lake Ontario sends out a series of distress signals. The coordinates of the boat in…

A: Topic - coordinate geometry We are given that Coordinates of the first signal:(49,68)Coordinates of…