Simplify the trigonometric expression below by writing the simplified form in terms of sin z. Enclose arguments of functions in parentheses. For example, sin (2x).

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A: We can find the critical point of the function .

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Q: Replace R₂ by (-8)R₁ + R₂. 14-8-7 84 7 8 -5 1 5 2 (-8)R₁ + R₂ = (-8)R₁ + R₂

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Q: d) y = x453x-1

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

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A: I have appended the formula used in solution procedure part

Q: 27. S cos5 x sin³ x dx

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Q: Use the chain rule to find z = sin(8) dz дz and əs at r = st, 8 = s³ + ³

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Q: 3. √ √x² + 2x dx

A: Given integral

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A: p(x)=5e-5x for x

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A: given

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A: Given :- The function To Find :- The derivative of the function at P0  in the direction of A.

Q: find the area of a triangle using herons formula. the triangle has lengths of 610.02, 1022.5,…

A: given triangle lengths 610.02, 1022.5, 538.54

Q: Compute the first partial derivatives of the following function. f(x,y)=4- tan¹ (9x² + 2y²) x=0

A: GivenTo calculate first derivative for the function   f(x,y)=4-tan^-1(9x^2+2y^2)

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Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: 1 x-y+z=-3 (2)…

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Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

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Q: Using the graph above, evaluate the following limit. lim f(x) (A) 1 (B) 2 (C) 3 (D) The limit does…

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A: We have to find the volume of solid generated by revolving the region bounded by the graphs of the…

Q: What is the area of the region bounded to the right by = by x = y²? 543-2-1 2 3 4 5 O co/ co/ col∞o…

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Q: If the number of bunnies B, increases at a rate proportional with the square of B, write the…

A: If the number of bunnies , increases at a rate proportional with the square  of , then to write the…

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Q: Find the linearization L(x,y,z) of the function f(x,y,z)=√x² + y² +z at the points (5,0,0), (5,3,0),…

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Q: 13. If H = {1, 2, 3, 4, 5, 7, 9, 11) and J = {1, 2, 3, 4, 6, 8, 10), then n(HUJ)= a) 4 b) 11 c) 15…

A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: Item 3 If f(x) = 2x² and g(x) = 1. (fg)(-3) II. (f- g)(2) 9 IV.(ƒ + g)(1) 0.5 108 The largest value…

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Q: Determine all possible values of 0, 0≤0 ≤ 2π, if sin = √√3 2 cot 0= -√√3

A: Note: Due to guidelines, I can solve only the first question

Q: A contour map for a function f is shown. Estimate the value of f(1,12) 30- 20 10- 70 140 2 210 3 280…

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Q: What is the area under the graph of y= 32 543-2-1 O 6 NO AU 13 2 12345 4+ -5 155 2 1 2 3 4 5 2 on…

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Q: Evaluate the triple integral U= 2x - y 2 +2 ·√² ſ² ſ²*³² ƒ(x, y, z)dxdydz where ƒ(2, y, z) = 2 + 2 3…

A: We have to evaluate the integral.

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

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Q: e or plane that is perpendicular to the planes 4x-2y + 2z= -1 and

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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°? Show how to…

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Q: During the month of January, "ABC Appliances" sold 49 microwaves, 16 refrigerators and 27 stoves,…

A: Given:We are required to find:

Q: 1. Find the limits. Show your steps. 1+3x³ xx 2 + 4x + 6x³ (a) lim (b) lim (₁ x18 - 2x) √4x²+x-

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