Consider the curve r(t) = (t sin t, 1 - cos t), for 0≤t≤2π. a. Graph the curve. b. Compute the curvature (using either of the two formulas). c. Graph the curvature as a function of the parameter.

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Q: Find the critical points of the following function. f(x)= 3 Xx 3 - 9x Select the correct choice…

A: The given function is; f(x)=/3 - 9x

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Q: dy dx = 6x5y, which satisfies the initial Find the solution of the differential equation, condition…

A: dydx=6x5y,y(0)=1

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A: To calculate the length of the asteroid of

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A: We have to find the area of the surface over the given region.

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Q: A Let f be the function defined above. For what value of c, if any, is f continuous at x = 3 ? B (C)…

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Q: Solve the triangle

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A: We need to find rectangular equation.

Q: . For example, if Eloisa invests in an I-bond which compounds twice a year with APR 8%, 8% then each…

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Q: 57 Find the four second-order partial derivatives for f(x, y) = 7x³y² + 8xªyº. fxx² ¹ w=0 fxy=0 fyx

A: Given,Finding the first derivative for the given equation:Differentiating the given equation…

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Q: Find the average value of the function f(x) = x² – 23 on [0,3].

A: Find the average value of the function f(x)=x2−23 on [0,3]fave =1b−a∫abf(x)dx

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Q: Elizabeth must choose between two job offers. The first job offers $51,000 for the first year and a…

A: Elizabeth have two job offers.First job offers  for first year and a  raise after each year.Second…

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Q: 18. For f(x)=x*- 2x² +3: A. Find any critical numbers of f(x) and find intervals of…

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Q: 2 Find the average value of the function f(x)=x²-11 on [0,3]. 2 The average value of the function…

A: Given function is f(x) = x2 -11 To find :- Average value of function on [0,3]

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A: A projectile is fired vertically upward into the air, its position (in feet) above the ground after…

Q: Evaluate indefinite integral using Integration by Substitution. 40x^3  e^(2x^4 - 3) dx

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Q: For the linear system Find the eigenvalues and eigenvectors for the coefficient matrix. = --[-¹0…

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Q: A B (C) f(x) Let f be the function defined above. For what values of bis f continuous at x = 3? D =…

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Q: The function f is one-to-one. Find its inverse 8 f(x) = 6 x 6 X-6

A: f(x)=8x−6,x≠6

Q: write a differential formula that estimates the given change in volume or surface area. then use the…

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Q: Use a calculator to solve the following equation on the interval 0 ≤0 < 2. tan 0= 5

A: tan⁡θ=5 on the interval 0≤θ&lt;2π.

Q: 3 For the function z = 2x³-8y² - 2xy, find 立|み 11 x²(-2,-2)= (Simplify your apcwor) əz əz dx' dy' a…

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Q: THE FollowING CENTERE FIND A POWER SERIES FOR EACH OF INTERVAL OF VALIDITY FOR EACH SERIES AT A = 0:…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the integral. √(3x² - 6x+5) dx (3x² - 6x + 5) dx =

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Q: Suppose that f(x)=2x/x^2 -4 use interval notation to indicate where f(x) is concave down use…

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Q: Determine whether the series converges conditionally, converges absolutely, or diverges. 2n+1…

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Q: Find the present value. Round to the nearest cent. To get $10,000 after 3 years at 6% compounded…

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Q: 9.7c -0.025215 9,7,-0.025216 = 55-3 451 1108 - 2- ? 0.3

A: The given equation is

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Q: Convert the rectangular coordinates to polar coordinates. a. (-2,2) b. (4,-7)

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Q: Find the exact values of all real roots for the following polynomial function. f(x) = -25x¹-330x³…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[5…

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Q: Let f be the function defined by f(x) following statements are true? 1. The graph of f has a…

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Q: f(x) = x² - 12x + 20 2x - 4

A: f(x)=x2−12x+202x−4