where y is considered to be a function of . In this exercise, you will determine whether or not y = for any constant c. 1 x + c is a solution to the differential equation

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A: Standard form of a circle is x-h2+y-k2 =r2,    where h, k  is the center of the circle and r is the…

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Q: Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t…

A: The given equation is;  y''-8y'+16y=0, y(0)=1 and y'(0)=5.

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A: here first we have  to find domain of function  here domain is which value we can put in function so…

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A: This question can be solved using the concept of area bounded by two curves.

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A: Given problem:- Find the general solution of non-homogenous differential equation using Variation of…

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A: We have to find dy/dx.

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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A: Solution is given below:

Q: Find Vf at the given point. f(x,y,z) = x² + y² -32² + z lnx, (1,4,5) Vf|(1,4,5) = 7i+ (8)j + (-30)k…

A: Topic = Derivative

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A: This question is based on conversion from Cartesian to polar coordinates.

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Q: 1. Consider a point in Cartesian coordinates given by (3√/3, -3, -8). (a) Find a corresponding…

A: Given, (x,y,z)= (3√3,-3,-8)

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A: solution is here

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Q: a.) [ sec²(t − 1) dt b.) 2 √t c.) [ sin(Int)

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Q: f sin 3x cos 5x dx ¹29 sin 3x cos 5x + cos 3xsin 5x + C 16 sin 5xcos 5x + C O. 16 sin 3x cos 3x + O…

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Q: The power series representation of f(x) = n(x²-1) is given by ΑΣ (-1) -1. I =1<x<l #ΞΙ 8+1 B. None…

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Q: Solve the following differential equations: 1 √1-3x (a) -dx + sin y cos 2y + 1 dy = 0 (b) x²y + x³…

A: I am attaching image so that you understand each and every step. Here "c" is integration constant.

Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

A: We have to find out derivative and integral

Q: Please answer

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