Use backward-difference x = 0 using a value of h = 1/2. formula to evaluate the first derivative of y = x² + 4x − 5 at

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A: A bounded linear operator between Banach spaces is a linear mapping that preserves the algebraic…

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A: Given that ,Suppose   and    be  a  partition of the interval [0,1].Thus,

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A: We can find the total number of ways by using combination formula

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A: We have to find the solution of normal equation for the inconsistent solution.

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A: The given differential equation is:And,.

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A: Here we have to find the eigen values and eigen function of Sturm-Liouville problem.

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Q: Suppose p* must approximate p = 90 with relative error at most 10-3. The largest interval in which…

A: Relative error:

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A: Given equation is We have to solve for y in terms of x.

Q: In the beginning of step 2 it says "Now,as, there always exists constant polynomial over Z" I got…

A: The original questions is:I  In step 2 of the linked solution it is given that

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A: The given matrix is:

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A: Given thatThe linear expression

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Q: A singular value decomposition of a matrix A is as follows: 0.5 -0.5 -0.5] [5 01 0.5 0.5 0.5 0 5 0.5…

A: Given:Here is the given matrix A,To determine:The closest matrix rank 1 to A.The Frobenius norm of .

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A: We can observe the limits from given graph

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A: Our objective is given below:

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A: The line tangent to at  passes through .We have to find the values of  and .

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A: GivenRemember : is the trigonometric form of where

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Q: Find given t = ze², z = t4, and y = 2 + 6t. Write answer in terms of the independent variable. 100

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Q: You deposit $2000 in an account with an annual interest rate of r (in decimal form) compounded…

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Q: Find a power series for the function f (x) = x2/(1 + x3)

A: We have to find the power series for the function f (x) = x²/(1 + x³)