Find the accumulated present value of an investment over a 8 year period if there is a continuous money flow of $9,000 per year and the interest rate is 1.7% compounded continuously.

Q: Test for symmetry with respect to each axis and to the origin. (Select all that apply.) 49 - x² The…

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Q: Evaluate the integral: r+∞ 1 dv v²+2v-3

A: We will find the integral.

Q: 5 4 3 2 | y = f(x) 2 lim x 2- lim 1 0 1 2 3 lim x →7+ 1 Enter each answer as a whole number (like…

A: 1) Given at exactly x=4, function value is 5, Therefore f(4)=5

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: 2. A ball is dropped from a 20-foot building with a constant acceleration due to gravity of 9.8m/s².…

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Q: ∞ Σ (tan ¹5k-tan-1 (5k-5)) k=1 ∞ The series Σ (tan k=1 -1 -1 5k - tan (5k- -5)) can be tested for…

A: Given :∑k=1∞tan-15k-tan-15k-5

Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a

Q: [ see³(z) tan³(x)dx

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Q: The function s(t) = t³ - 12t² + 45t represents the position of a particle (in meters), at time t (in…

A: We have to find points of position where object is at the rest position.

Q: Find the exact length of the curve. x = 1 + 12t², y = 1 + 8t³, 0≤t≤4

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Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

Q: A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $175…

A:

Q: Consider the following. f(x, y) = 5x - 4y (a) Evaluate f(9, 1) and f(9.1, 1.05) and calculate Az.…

A: Given function,fx, y = 5x -4y

Q: Given the graph of f (x) above, find the following limits. (a) (b) lim f(x) = x418 -6 lim f(x) = -4…

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Q: (a) [z. ells dr

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Q: *3. The dimensions of a rectangular solid are 8 by 4 by 4x+1, and surface area of the rectangular…

A: We have to find value of w.

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 160° (x,y) =…

A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

Q: average rates of change

A: The average rate of change  is constant for a linear function. Another way to state this is that the…

Q: Evaluate the following integration.

A: Let Sinx=t

Q: 5. From the top of a building a bicycle is seen. The distance between the bicycle and the base of…

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Q: Write the system of equations 4x + 2y + 2z = 5 - 4x - 3y + 3z = - 4x - 4y + 5z = - as a matrix…

A: The solution is given below

Q: uestion 3 Find f(x+h)-f(x) given the following function. Answer f(x+h)-f(x) = | کے f(x) = 8x² + 5x

A: The solution is given below

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. -7t y…

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Q: 18. Use a Taylor series to approximate ·√√² e- -2x² dx. Retain as many terms as needed to ensure the…

A: We have to solve ∫02e-2x2dx   by  using Taylor series            since,  we know that…

Q: 10. Prove: cos²(x)-sin²(x) =sin² (x) 1-tan²(x)

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Q: Graph the function. Plot all necessary asymptotes. Plot at least 4 points. For vertical asymptotes,…

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Q: If f(x)=√10- x and g(x) 3x² 10 - 3 x²√10 x - O 3√10-x x² X Ox²√10-2 3 O None of these. 3 g(x) find…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. -2t y"…

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Q: Let f(x, y, z) = 3xz + sin(ry)e*. what is faz? Find the gradient at the point (0, 0, 0)?

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(2rs, s² - 6r). Use the table of…

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Q: If 0 = sec (0) csc(0) = - = tan(0) cot (0) = = 7 -T, enter exact values for each function. 4 7000

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Q: g(x) 8. Assume that f(x) and table. Use the following table to calculate the following derivative. 1…

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Q: Find the general solution of the differential equation. y (4) + 2y"+y 3+ cos(4t). NOTE: Use C₁, C2,…

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Q: Graph the function. g(x) = 8 x²-16 Plot at least two points to the left and right of each vertical…

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Q: The rate for parking in the short-term lot (maximum of 12 hours) at the seaport is $1.50 for the…

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Q: Find the differential dy of the given function. y = √3-x² dy X 3 - x Submit Answer =dx 2

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Q: 3. Solve the right triangle with one of the legs 15 and one of the acute angles 31º.

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: A plane begins its takeoff at 2:00 p.m. on a 2170-mile flight. After 5.1 hours, the plane arrives at…

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Q: 3. Using multiple linear regression, estimate the values of a, b and c in the given regression…

A: given that        X            1            2              3            4          Y…

Q: 3. Compare the average rate of change on the interval 0 ≤ x ≤ 4 for the two functions whose graphs…

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Q: 16. Given that sin x = Σ k=0 (-1) k (2k + 1)! T 2k+1 for all x, find the Taylor series for f(x) = x…

A: The given Taylor series is sinx=∑k=0∞-1k2k+1!x2k+1 for all x

Q: 1. Solve for y3 using the method of successive approximation. dy dx = x+y; y(1) = 1

A: Given Data,y1 = 1dydx = x + y

Q: 8. Assume that f(x) g(x) and table. Use the following table to calculate the following derivative. 2…

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Q: If 3x² + 5x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation.

A: We can find the answer as below.

Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

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Q: It is known that sin x = +∞0 (-1)" Σ|zn+1)! (2n + 1)! n=0 1. Find the Maclaurin series for x…

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Q: 1.6 Suppose that For each function h given below, find a formula for h(x) and the domain of h Note:…

A: The solution is given below

Q: Evaluate du/dy at (x,y,z) = (2,2,0) for the function u(p,q,r) = epqcos(r); p = 1/x, q = x2lny, r = z

A: To evaluate dudy at x, y, z=2, 2, 0 for the function up, q, r=epq cosr; p=1x, q=x2 ln y, r=z

Q: nd the solution of the given initial value problem: ) = || y(4) + 2y"" + y″ + 8y′ − 12y = 12 sin(t)…

A: The solution is given below