Find the linearization of the function f(x) = √10 – x² at a = = 1 O L(x) = =¹²(x − 1) + 3

Q: Find the function f (x) for which f (x) = e-5x, f (0) = 1.

A: A function is a relation which maps each value in its domain to exactly one value in its range. For…

Q: The function f(x) = 1 + x decreases to 1 as x- 0. Does f(x) dx exist?

A: Given function is f(x)=1+x-1f(x)=1+1x Given integral is evaluated as follows.…

Q: Find a real number a such that the instantaneous rate of change of the function flx) =2x²+ 4x+7 at x…

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Q: g(x) g'(5) = 2 X 13 1+t2 dt

A: Given query is to find indicated derivative.

Q: For the function f(x)=5.log (x* - 10x +x+30)-5, on the interval (-4, 4), approximate the local…

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Q: Find the function f(x) such that  f ′(x) = f(x)(1 − f(x)) and f(0) = 1/5.

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Q: Consider the function f(x)=∫x04t5+4t4−t3+2t2−3t−5dt. Compute f′′(x)

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Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: etermine the intervals where the function f(x) = x 2 e −x is increasing and where it is decreasing

A: Determine the intervals where the function f(x) = x 2 e −x is increasing and where it is…

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf 0 < x < 1 X, fx(x) = 0, otherwise.…

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Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: Find f such that f′(x)=4x−9​, f(9)=0.

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Q: Can you find the linearization L(x) of the function at a.

A: We first find the first order Taylor polynomial centered at ( a = 4), which is given by:…

Q: Evaluate the indefinite integral: (3e" + 6 sec? u) du: |+ C.

A: As per guide line we have