If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

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A: Volume

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Q: 15x² x3-43x - 19 - (x + 1)²(x² - 6x +13) Ax + B S ax²+bx+c The integral What is the value of dx can…

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A: This is a problem related to integration. Based on the general formula we will solve the problem.

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Q: A continuous F(x1= 글X K value V-V- 15 X x has CDF 16 X Co OBX C1 15X k of 17 18 19 20 21 An

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A: Let's find.

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Q: /² sin sin ( π/4 x² dx (x²+4)5/2 (Use trigonometric substitution) fe2x+Inx² sin x² dx = = Find f…

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Q: Using production function Y = K1/2 1/2 and using the information below: Relative to US column 4…

A: Solution of the problem as follows

Q: 19. TT/2 -π/2 sin 0 de 20. * sec² 0 de

A: 19 ∫-π/2π/2 sinθdθ [-cosθ ]-π/2π/2 0 - 0 =0 other way sin is odd function so also integration is = 0…

Q: A= and B = . Find a vector perpendicular to both A and 2A - BO O O none of the above

A: A vector perpendicular to A and B is :  C = A x B

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2-√√x-1 1. lim x-5 x² - 4x - 5 2x…

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Q: II. Find Do not simplify your answers. dr 1. log,(√2x² + y) + tan(x² − z³) = sin¯¹(x² − 1) + −

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Q: 1. S =dx = -Arcsin x√x²-4x-1 +2 X √5 +c

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Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

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

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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: 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: V. Find the slope of the normal line to the graph of g(x) = where x = 0. log₂ (1-x) sin ¹(x) + e² at…

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Q: Integrating 1. y' + y = x+ Factor by Linear Equations:

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Q: Integrating Factor by Inspection: 5. (xy-2y²)dx - (x²-3xy)dy = 0

A: (xy-2y2)dx-(x2-3xy) dy=0x(y dx-x dy)-2y2 dx +3xy dy=0dividing by xy2;(ydx-x dy)y2-2x dx +3y…

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: 15x²x³43x - 19 The integral (x + 1)²(x² - 6x + 13) Ax + B What is the value of dx ? ax²+bx+c 31 -…

A: Given integral ∫15x2-x3-43x-19(x+1)2(x2-6x+13)

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

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A: First derivative test: If the first derivative of the function is positive over an interval, then,…

Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

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Q: Find the area of the region bounded by y = 4x + 9, y = -6x + 9 and x = 14. Leave your answer correct…

A: Area of region bounded by given curves are evaluated.

Q: Use the function to find the image of v and the preimage of w. T(V₁² V₂) = (V₁ + V₂₁ V₁ V₂), V =…

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Q: Find the derivatives of the function xy² x-y x + y

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Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

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Q: 1 of x only, then = 0 (x) dx ne given equatio 2 21

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Q: II. Find Do not simplify your answers. dy da tan ¹(cosh x) 2. y= (sin² x) (sechar)sec z [use…

A: Given data÷

Q: 4. Evaluate lim (cos x) ¹/2². 2-0

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Q: 2x2 40. Determine which of the following is the integral off 5 cos x dx. a. -5 sin x + C c.cosx+C b.…

A: To evaluate the values of given integrals.

Q: 59-62 Use Part 2 of the Fundamental Theorem of Calculus to find the derivatives. d evi dt sin sin…

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Q: The Cayley-Hamilton Theorem states that a matrix satisfies its characteristic equation. For example,…

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Q: Question 5 A) O B) 48 32 D) 96 If f cos+2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A,…

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

Q: Find the volume generated by revolving the given bounded plane area about the line. Use shell…

A: Volume

Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem