Compute the torsion r(t) for the same space curve c(t) = (t, 5 cos t, 5 sin t)

Q: 42. The graph of f(x) = x³ - 3x² + 3x - 1 = (x - 1)³ has exactly one x-intercept.

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Q: 49. Use a graph to estimate the equations of all the vertical asymptotes of the curve y tan(2 sin x)…

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A: Given Function is as follows

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Q: : Consider again the space curve c(t) = (1,9 cos t, 9 sin t). Compute the associated unit normal…

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Q: ery Check #1 ive Name: Ny Aisha Date: 1/31/24 2. Place the values of f(a), f'(a), and f" (a) in…

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Q: 59. P(x) = -2x³ - 14x² + 2x + 84

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Q: he dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

A: The dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

Q: Q2) Solve two of the following: B) (1 + ecotx)csc²xdx

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Q: (1 point) Evaluate f(x) dx, where [² f(x) dx = [ 7x5, 0<x< 1 2r¹, 1≤x≤ 2.

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Q: a. Sketch the vector PQ in the plane from initial point P(5, -1) to terminal point Q(4,2), then b.…

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Q: a.y≥x², z≥0 b.x < y², 0≤z<2

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Q: Evaluate the following definite integral. Express your answer in terms of logarithms. e³ dx 2 1 x√In…

A: To evaluate the following definite integral.

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Q: Let à = (-1,5,0) and 5 = (5,-2, 3). 6 Find the component of 6 onto à. Give the answer in exact form.

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Q: A slice of a circular pizza 17 inches in diameter is cut into a wedge with a 60° angle. Find the…

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Q: 11-12 Sketch the graph of the function and use it to determine he values of a for which limx→a f(x)…

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

Q: Q2) Solve two of the following: 2 In 10 log10 -dx x A) S 2

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Q: Find the limit: 00 lim( t-0 e⁹t t 1 t11 10 t1211' 11+ t

A: Given:To find:Evaluate the limitTo find limit of a vector

Q: Q4) Solve two of the following: A) f sin³x cos*x dx

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Q: A(x) = 22 -2 f(t)dt.

A: (c)A(x)=∫−x2x2f(t)dtLeibnitz Integral Ruleddx∫g(x)h(x)f(t)dt=f(h(x))h′(x)−f(g(x))g′(x)

Q: 6. Use the product rule and your prior knowledge of derivatives to find the derivative of y = e 5x…

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Q: Let F(x) = cos tdt. Use the Fundamental Theorem of Calculus, Part 1 to find F1(x). x cos x² 2x cos…

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Q: S x²+x+¹ dx. dx. (x-3)(x-1)²

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Q: Problem 7: Find an equation of the ellipse with foci at (−4,3) and (−4,−9) and whose major axis has…

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Q: Let F: R² R², G: R² R² be defined by cos(0) [rsin(0) F(r, 0) = G(x, y) = 2xy _1-²-x²_ and let H =…

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Q: - Express the point in terms of polar coordinates. (x, y) = (5,5√3) (Give your answer in the form…

A: To convert rectangular coordinates to polar coordinates apply the following formulas.