1 Find the coordinates of point L on the triangle below after a dilation with a scale factor of ! M O L'(-5, -5) O L'-1, -1) O L'(-10, -10) O L'(1, 1).

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A: To find the slope of the tangent line of 4sin x+5cos y-5sin xcos y+x=3π, differentiate it and…

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A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

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A: Solution:Given   y=sin x and sin-1 xTo find the area of the region on the interval 0,12Formula:∫sinx…

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A: Linear Eq: 9.x=1,2,3,4,5y=f(x)=2,4,6,8,102y=xSo, this is the requiredequation of line.

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A: Topic:- application of integration

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A: Given:  θ = π3±π60  radians ---------------------------------------------------------------- To…

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A: First differentiate  wrt xand then use formula

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A: Find the value of sin(7pi/8).

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Q: Find Critical Points and Extreme Values: f(θ) = 2 Sinθ + Cosθ        on [ -2π, 2π ]

A: Given         The critical point is where  f'θ=0              Here the interval is -2π,2π…

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Q: 5. Find the average rate of change for the interval 2 <x< 3 for the function y = 2 cos x) + 1. Show…

A: y=2cos3π4x+1given that : interval is 2≤x≤3To find: The average rate of change for the given interval…

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A: Given that cosh3x2y=x+lnexy+1                            ……(1) We have to find ∂y∂x Partial…

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Q: (5) sinh 2x = 2.sinh x.coshx %3D

A: (5)To prove the following identity sinh(2x) = 2·sinh(x)·cosh(x)

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A: Given  Arc length L=∫121+1y4dy Know L=∫ab1+dxdy2dy

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Q: しx)f erentiate f メて ×ケ-X arcsin (3x -1)+ In (5x*+3) 6arctan (1-x) . メ9 fon

A: f(x) = sin-1(3x-1) + ln(5x4+3)

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A: Please see the answer bellow.

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A: Given That : Let us assume that  y=xnlog(x) Prove that : yn=n!x using Leibnitz  theorem

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Q: INTEGRATION OF 1/1+TANX

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Q: 8. A calculator may be used ONLY for your computations. Please draw a NEAT graph on the interval 2,…

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Q: The expression of Absorption's law is given by what?

A: The expression of Absorption's law is

Q: Part 2 An engineer at the contracting company (with a solid education in Calculus 1) realizes that…

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Q: 1. Find a curve with a positive derivative through the point (1,1) whose length integral is given…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: sinh (2.Inx) n(coshx+Sinhx)+in(cashx-sinh x).

A: We have to rewrite the given expression by using the exponents.

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Q: Find delta value for the limit of x-->0 of tan5x/sinx when epsilon = 0.1

A: Introduction: The limit of a real-valued function is the base of differential calculus. A single…