Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0. 1] 4 Since continovs S(x)-x'+3x-2

Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: Number of relevant items retrieved =12Total number of relevant items = 40

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A: Given:f(x,y)=tan-1xy

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A: The solution of question no 1 is given in the next step.

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Q: Given the demand function D(p)=275−2p^2 Find the Elasticity of Demand at a price of $2

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Q: . Use L'Hospitalľ's Rule to evaluate lim t In 1+

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A: Given: a)2x-3y23x3y-42b)9y23y-13

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Q: iv. L, x* (e* – e*) dx

A: Given:

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A: ∫xx-1dxLet u=x-1.=∫ 2u2+1du=2·∫ u2+1du=2∫ u2du+∫ 1du=2u33+uSubstitute back…

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Q: Use implicit differentiation to determine dy/dx given the equation x^5+y^2=−4

A: implicit differentiation to determine dy/dx given the equation    x5+y2=−4

Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

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Q: sin(x²) Evaluate lim 140- e2r – 2x – 1

A: Topic = Limits

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A: Topic:- application of integration

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A: Let I=∫9xx2+15dxTake the constant outI=9·∫1x2+15dxSubstitute u=x15.Differentiate…

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Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

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Q: In what instance does the Chain Rule of differentiation applicable? Explain briefly.

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Q: -2 is a critical number of the function f(x) = /2x - x2, Select one: O True O False

A: The given function is  f(x)=sqrt(2x-x2)

Q: e the substitution x = 3 sin t to evaluate the integral ſ V9 – x² dx. ote: Use C for an arbitrary…

A: Topic:- integration

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

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Q: Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the…

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Q: Cross-product of vectors   ⟨2,−1,3⟩×2⟨4,2,1⟩=?

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Q: Suppose f(x) is positive, continuous, and f'(x) < 0 for all æ in [ – 8, 4], and| f(x)dx = 76 and L…

A: Concept: Mean value theorem: The mean value theorem states that if a function f is continuous over…

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A: