Use the Laws of Logarithms to expand the expression. In(x√7) In(x) + In + In (√²) N X 27

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A: The slope of the tangent at any point (x,y) on the curve y=f(x) is dydx(x,y)

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A: We can find the partial derivative in the following steps.

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Q: 8. If y = (x* +2x²)e2* determine an expansion for y(5). %3D [y(5) = e2x24(2x³ + 19x² + 50x + 35)]

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Q: find the Fourier series of the following equation -1<x<0 (-) f(x) = }x 0 <x<1 1<x <3

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A: use derivative  to evaluate the volume

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Q: find the Langth of the are Ve Siesinzo from to o-52

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Q: Q2:Find the Laplace of the 1- cos(2t) 1. f(t) = t

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A: We have to find the final amount.

Q: 2/3' 2/2, Suppose 3z? + 2y² + z² = 1 and z = g(x, y) > 0. Determine g, ) and gy 2/3' 2/2

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Q: 2. Solve the equation: y" – y " -2y' = 0 O y = cje* + c2 + cze2* O y = cje* + c2e* + c3e2*

A: The given equation is  y'''-y''-2y'=0

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A: Topic:- geometry

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A: Critical points

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A: SUMMATION OF VECTOR  first vector put as it is  after second is put on head of first vector and…

Q: A. Set up the double integral | |(2? (x2 + y)dA where Ris the region above the x-axis bounded by the…

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A: Note:  As per our guidelines, we are restricted to solve only one problem. Hope you will understand.…

Q: polar of a point are giv the pon R/2 R/2 6f 4 4 2 2 -6 -2 4 6 -2 -4 R/2 R/2 6. 4 4 -6 -4 2 -6 -2…

A: Topic = Geometry

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Q: Q1: Find the Laplace of the following Periodic functions: 1. f(t) = t 0 <t< 2 2. f(t) = ksin(wt) 0…

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Q: 1. 12a – 92² + 2 dæ

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Q: 4. STT- COs y dy -COS

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

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Q: For the function f(x): - 3x + 10, evaluate and simplify the difference quotient. Question Help:…

A: The difference quotient of a function f(x) is given by, f(x+h)-f(x)h