Which of the following is the differential equation of the family of cubics defined by cy^2 = (x - a)x^2 with "c" held fixed. А. 2схуді- асху2 +22 y4=0 В. асх ууі - асхуг - x4 =0 эсхуу 2 х4 с. 20x²уу + exy2 - х4 =0 2cx2 случ D. 2х²y - 2ху2 -х4 ко x4 Б. 2cxy' - 2ху². 2 ху2 -*4=0

Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

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A: The given function is fx=esinx we have to find the Maclaurin series for fx Maclaurin series:…

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A: We can find the answer as below.

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A: The objective of the question is determine the L- and U- matrix.

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A: Let's find 1st answers.

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A: We need to find point of intersection.

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A: Here we have to solve the quadratic equation.

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A: Let's solve.

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A: To find out the integration of the given function.

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: Here we have to find the derivative of the function.

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Q: / Using Doolittles method for the following matrix A = 0 6 L-2 0 5. 087 L- matrix and U- matrix. 5…

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Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

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A: We have to fill up the table

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A: Given,

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A: Ode

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A: This question is based on left hand limit and right hand limit.

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A: To find newton divided difference table ,  For 3rd column , we will use formula   (f(xi +1) - f(xi)…

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A: I hope the question is to prove that the limit is equal to 5.  The answer is in step 2.

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Q: How would this process look should we try to do it via limit definition (IE, (f(x+h)-(fx))/h)?

A: Derivative of g(x) at x=a=limh→0g(a+h)-g(a)h

Q: Find

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Q: area

A: Given,r   =   cos ( 2 θ ) ,     - π/4 ≤   θ ≤   π/4 Given is a polar curve.