Find the arc length L of the graph of r(t). L = r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0≤t≤ 2π

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A: Solution of given question is written in below steps.

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Q: (D² – D − 2)y = cos x

A: Here is the solution:

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A: The given function,    fx=3x2-1

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Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

A: 1. True 2. True

Q: 1 8x 16-x², dx

A: We can explain the answer for you in the following steps.

Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

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Q: Question 3 x²+x+1 Sa 2x²+2+x³+x -D Sa x+2' - dx = [Aƒ (x) — B ln(g(x)]å + D rb dx 2 and if A = B<0,…

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Q: (A) = and B = . Find the vector projection of A D onto 2A - BO O O none of the above

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Q: Use the formula k(t) k(t) = = ||r'(t) × r"(t)|| ||r' (t)||³ = 10t: r(t) = e¹⁰ti + e-tj to find k(t).

A: This question is related to vectors, we will solve it using given information.

Q: 1. Identify the equations of all the linear asymptotes of f.

A: There are three different types of asymptotes for a function fx: (i) Horizontal asymptote: If we…

Q: The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each…

A: Let's find.

Q: Find a general solution of the system x'(t) = Ax(t) for the given matrix A. -20 -15 15 A = 8 7-5 -…

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Q: A) 48 B) 0 96 D) 32 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: To value of the value of given integration in terms of given values .

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=2x^2-x^3…

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Q: Let (A) = and B = . Find the angle between B and A D O [cos) 2/√(30(21)) O [cos] ^(-1) 2/√(30(21)) O…

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Q: Find all real solutions of the equation 8m² -18-374. Write your answers as a list, using a comma to…

A: A detailed solution is given below

Q: 1. ) cos (4) COS -π/2 f/² sin (1) sin (²) dx (Consider initially the first 2 terms)

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Q: IV. Do as indicated. 1. Let f(x): = where x = 1. 1 Find the equation of the tangent line to the…

A: Given equation f(x)=11+x2Differentiate…

Q: Given: (1+2x) ex dx. Using integration by parts and letting u = − 1 − 2x, dv = f(x)dx, then the…

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Q: Consider using the method of partial fractions to solve x²+x+1 Sa 2x²+2+x²+x A In(x²+1) B x+2 D…

A: This is a problem related to integration of the function using partial fraction decomposition. Based…

Q: If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants, ....…

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Q: Given : x³ sin(2x) dx = 277²-24 Find bif sb . 64 2π 3 5π 6 F|+ =|m 3 3π 4 sbst

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Q: (a) Find the inverse function of f(x) = 2x - 3. f-¹(x) = (b) The graphs of f and f are symmetric…

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Q: A B C The IBP formula fudv=uv-fvdu can also be written as f udv + ſ vdu : = UV Which of the…

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Q: Describe the graph of the equation. r = 6 sin 3t i - 6 cos 3t j O It is a circle of radius 6 in the…

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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Q: S 1 xvx²-2x dx = √x²-2x X +C

A: To prove that ∫1xx2-2xdx=x2-2xx+C

Q: x²+x+1 Sa 2x²+2+x³+x² (A (B (D) -b dx dx = [Aƒ (x) – B ln(g(x)]å + D ſb da , and if A = ‚B < 0, then…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: graph each function using transformations or the method of key points. Be sure to label key points…

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Q: y"+6y' +8y=10e-³x ;

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Q: Given: : Saxasin(2x)dx = - ㅠ (A) 3 Зп B 4 c D E 2 3 4 277²-24 64 5T Find bif sbst

A: Let's find.

Q: 49-52 Sketch the curve and find the total area between the curve and the given interval on the…

A: We have to find the total area between the curve and the given interval on the x-axis.

Q: Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=8, and x=0 about…

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Q: Find I see sec42x tan 92 dx

A: The objective of the question is evaluate the indefinite integral.

Q: Do as indicated. 1 1. Let f(x) = Find the equation of the tangent line to the graph of f'(x) at the…

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Q: A 0 B) 48 32 D) 96 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: The given problem is solved below in detail.

Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find Do not simplify your answers. dy da 1. log;(√2x² + y) + tan(x² − 7") = sin¯'¹(x² − 1) + ½

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Q: Y sinh(1) (use logarithmic differentiation) 3 (sec x)²/2[/cot-¹x]

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Q: 1 x√x²-2x =dx : √x²-2x x =+c C

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Q: Question 7 Given : A B E 0 2π 3 F|+ π 4 (U) =|m x³sin(2x) dx = 3 5π 6 3πt 4 277²-24 64 Find bif sbst

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