2x 3, Use the limit definition of derivative to show that f(x) is differentiable at x2 – 3, r > 2 x = 2.

Q: 1. A function g is defined as 22 if a 1' g(x) Is it possible to find a value of the constant k that…

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Q: 10.What value is approached by Ax f(a+Ax)-f(a) Ax in to approximate the slope of the tangent line to…

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A: Use limit for finding the right answer.

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Q: 1) Find the exact length of the polar curve r = 2+2 cos 0. Show All Your Work!

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Q: The term a29 of the sequence {a,} given by 4 7 10 13 4'5' 6'7 is 91 33 Select one: O True O False

A: We have to find a29 term.

Q: Estimate the instantaneous rate of change of the function at x = -2. 2 (2, 0) -4 4 -2 -4 (-3, –5) a)…

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Q: %24 3 To test this series for convergence 4" 1 7" n=1 You could use the Limit Comparison Test,…

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Q: 1 4. ,2x+7

A: Note: As there are three different questions, according to policy of our company we will solve the…

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Q: Find the taylor series being centered at the given values of a (use the known n series) f(x) = x…

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Q: 20-21) What is the equation of the tangent line to y = x3 at x=2? A) y = x - 12 B) y = 12x C) y = x-…

A: Use derivative for finding the  equation of tangent line .

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Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2300t – 300t² where t is in…

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Q: V5 n +9 lim . Show your work. 9 n+5 n- 00

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Q: Find the net area and the area of the region bounded by y= 11 cos x and the x-axis between x= -: and…

A: Area A = ∫ f(x)dx here limit from -π/2 to π A = ∫-π/2π cosxdx A = [sinx]-π/2π  A = sinπ - sin(-π/2)…

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Q: 2. Find f(2.6) by interpolating the following table of values. Using Lagrange interpolation. i xi yi…

A: I am attaching image so that you understand each and every step.

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Q: A population of insects increases at a rate of 220 + 8t + 1.5t² insects per day. Find the insect…

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Q: 2. Which phrase best describes a function which has the following table when it's graphed. -2 -1 2 7…

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Q: Find the AREA of the region enclosed by r =2+2 sin 0. A. 27 В. 4т С. 6т D. 8T

A: Here we have to find the area of the region enclosed by r = 2+2 sin(theta) .

Q: A college student borrowed $44,000 to pay for tuition, room, and board. Some of the money was…

A: A college student borrowed $44,000 to pay for tuition, room , and board. Some of the money was…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Explanation of the answer is as follows

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Q: E- 100. This can be further simplifed to + y - 50

A: answer is in next step

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A: Given problem:- what is f'(a) ?

Q: Let f(x) be the function 10x - 2x + 9. Then the quotient f(4 + h) – f(4) can be simplified to ah + b…

A: f(4+h)-f(4)h=(10(x+h)2-2(x+h)+9)-10x2-2x+9h=10x2+10h2+20xh-2x-2h+9-10x2+2x-9h=10h2+20xh-2hh=h(10h+20…

Q: 15. Suppose you start at the point (0, 0, 3) and move 5 units along the curve x = 3 sin t, y = 4t, z…

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Q: A. For each of the following functions, find the indicated derivative using the definition. 1. f(x)…

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