Let C₁ be a curve defined by the vector function R(t) = √2 coś tỉ+ sin tj+ sint k a) Find the moving trihedral for C₁ at the point where t =

Q: For # 1-3, use a 1. arctann n=1 1+n²

A: series comparision test

Q: Find the limit of the following sequence or determine that the sequence diverges. (5n+ 1)! (5n)!

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Q: Consider the function f(x) whose second derivative is f''(x) f'(0) = 4, what is f(5)? = 7x + 3…

A: To find f(5).

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A: Given query is to find series converges or diverges.

Q: 7. Find the direction angle of each vector to the nearest tenth. b) -4i-3j c) (7,7) d) (3,-8)

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Q: Let ƒ(x) = − 2 sin¯¹(e8²) ƒ'(x) =

A: Given query is to find indicated derivative.

Q: 5. Solve the following. a. 4 sin 0-3 = 0

A: Answer is given below

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Q: 2) Find the area between the two curves y = 10 x² and y = -x + 8. Hint: First find the points where…

A: The given curve is: y=10-x2       ....1y=-x+8      .....2

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Q: Determine whether x2 + 4y2 = 16 is symmetric respect to the x-axis, the y-axis, and/or the origin.

A: Given the ellipse equation, x2+4y2=16

Q: 9 12) Solve x + x + ² = 6 t

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Q: Use the given function and the given interval to complete parts a and b. f(x)=2x³-39x² +216x on…

A: Topic- Application of derivatives We are given, f(x)=2x3-39x^2+216x  on [3,10]

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Q: The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out…

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Q: Given f(x) ƒ'(x) = S t³ dt, dt, answer the following:

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Q: nd the slope of the graph of the function g(x) = aph at that point. he slope of the graph of the…

A: The equation of the line tangent to the curve g(x) at point (a,b) is given as   (y-b)=m*(x-a)…

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A: NOTE: Refresh your page if you can't see any equations. . x=time required to fill pool by Sully's…

Q: A particle moves with position Function S= +"-41³-20t+ 20+ where t=0

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Q: c) f(t, 2te-t², tan 2t)dt

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Q: Find the following limit. 2x - 4 lim 2 x→∞ √9x² +3 lim X→∞ 2x - 4 2 √9x² +3 11 (Simplify your…

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Q: A. 0 Evaluate the integral by reversing the order of integration. OB. 0(e-6-1) O C. -2(e-³-1) D.…

A: use the substitution method to simplify the integral.

Q: n+ 5 n² + 10n + 5 Compare with fo 2 dn = (Evaluate your integral with bottom limit c = 1.) This sum…

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Q: Let f (x) = 2x + 3. Compute R6 and L6 over [0, 3].

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Q: A. // OB. OD. - Evaluate the area of the egion bounded belo c. 31/12 E. 6 and above

A: Given query is to find the area bound.

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Q: X 0 4 Which of the following equation relating and r is correct?

A: Solve the given for theta

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Q: D Question 5 Wheat is poured on the ground at the rate of 12 cu. ft/sec. The pile forms a cone whose…

A: Here we have to choose the correct option.

Q: In AXYZ, LX = 30°, x = 23cm, and y = 42cm

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

Q: Find each of the following for the given function g. (If an answer does not exist, enter DNE.) g(x)…

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Q: 1. Find for the following by implicit dy dx differentiation: 19x5 - 4 cot y = y5 - 19x

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Q: Question 3.1. In each case, use Integration by Parts to solve the indefinite integral and thus…

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Q: If f(x) = 7ª arctan(4x²), find

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Q: Use the relation lim 0-0 lim x→0 tan (10x) O A. X lim X-0 Select the correct answer below and, if…

A: The limit of this function is exist and equal to 10

Q: 7. Find a power series representation for the function and determine the interval of convergence.…

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Q: n+ 5 2 n²+10n + 5 Compare with f (Evaluate your integral with bottom limit c = 1.) This sum O A.…

A: NOTE: Refresh your page if you can't see any equations. . here we have c=1 ..................(1)

Q: EXAMPLE 5.17 Using the Comparison Test For each of the following series, use the comparison test to…

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Q: The length of a rectangle is increasing at a rate of 6cm/s and its width is increasing at a rate of…

A: We are required to find the rate of increase of the area of rectangle when the length of rectangle…

Q: Suppose that f(x, y) = 2x + 4y on the domain D= D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. Then the…

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Q: Consider the following equation. f(x) = x² + 2x - 1 (a) Find the vertex of the graph of the…

A: The given function is f(x)=x2+2x-1 We need to finda. The vertex of the graph of the equationb. To…

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Q: For the function f(x) = 3x² - 4, write Newton's formula as n+1 = F(n) = In - f(x) = 0. Type in x_n…

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Q: Suppose that f(x, y) = eª /y on the domain D = {(x, y) | 0 ≤ y ≤ 2, 0 ≤ x ≤ y³}. D a Then the double…

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Q: Find f-1 (z) for f(x) = 9+10x. Enter the exact answer. Enclose numerators and denominators in…

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Q: Compute the Jacobian A. I = 5u OB. I = 5u (cos² (5v) - sin² (5v)) O C. I = 0 (x, y) d(u, v) ○ D. I =…

A: A detailed solution is given below.