(B): Find the tangent equation to the curve y = sin² x at point x = = 33.

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A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

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A: I have stated the used formulas in the solution

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Q: 36. What is the area of the region bounded by the graph of y = 3x - 4, the y-axis, the lines y = 1…

A: See the details solution in below

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Q: 03/ A. For the following function f(x). Find: ji. iii. m=? 1-4X m -UX.=-u P(1,-1) f(x)=x-2x² The…

A: See this solution in below

Q: dw (C): If w = tan x and x = 4t³ + t ; Find dt

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Q: 1.4 Assuming that C₁ Cos (wot) and C₂ Sin (wot) in 1.2 are two independent solutions of the SHO…

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A: I have stated the used formulas in the solution

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 2 (1) limx-o[: 1-cos x sin²x (2)…

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A: tan = y/x tan = y component/x component  here  y = -2 x = -3

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A: I am attaching image so that you understand each and every step.

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Q: Exercises L- If H B =). 33" 3 14. BB+A-SI-D E A-

A: The answer is given below:

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Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

A: I am attaching image so that you understand each and every step.