For the function f(x) = 3 - (x + 1)³, find the interval on which fi increasing. O a. (-∞, 3) O b. (-∞, -3) O c. (-∞, -1) O d. (3,00) O e. (-1,00)

Q: Given matrix A and its first two eigenpairs: A = -4 -7 2 +23 3 A₁ = 1, ₁ = A₂ = -2, x₂ = 5 -2 ~

A: Given matrix:- A=-4-7522-233-2

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A: NOTE: As Per bartleby guideline only one question is allowed to solve if multiple question is asked…

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A: Let's solve given summation integration.

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A: Let's find unit vector in the direction of a.

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A: 1)  dydx=10-x dy=(10-x)dx take integration both sides…

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A: To find an equation of the plane that passes through the point P5, 6, 3and has the vector n=1, 9, 9…

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Given A (1,2, 3, 4) and B (a,b,c). Let R be the following relation from A to B R={(1,b), (1, e), (3,…

A: Note : As per rule I need to solve only first 3 subparts.

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A: Pole of function if limz→az-amfz= finite and exact , then z=a is said to be pole of order m

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A: Let's find new notations.

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A: Let's find Riemann sum S5 by using midpoint rule.

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A: To find the value of x for which the function has horizontal tangent line

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Q: Use Part 1 of the Fundamental Theorem of Calculus to evaluate the definite integral, L 1 1 - y²…

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A: We have to find the limit.

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Q: 1. a) Write a short note on the meaning of the derivative or differentiation. What is the…

A: a) Differentiation: Differentiation is the process of finding the derivative of a function. It can…

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A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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A: We will find the required projection of given point.

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