Illustrate the graph: Y x2-3x-4 3. Check whether the function f(x) = is continuous at x = 4. Sketch its x-4 graph illustrating its continuity or discontinuity.

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Q: Use the Ratio Test to determine the convergence or divergence of the series. n5 3n n = 1 an+ 'n+ 1…

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A: According to graph we see that  simpson's 1/3 rule is best method for accurate result .

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A: To write the repeating decimal first as a geometric series  and then as a fraction a ratio of two…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. (If you need to use co…

A: This question can be solved using the concept of ratio test.

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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: Find the second derivative of the function. g(t) =  7 8t6

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A: Solution:  Given that y= tan(x) Now find y'':

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Q: find the approyimate Valueof:

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Q: T 11x + 29 dx The integral is equal to

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Q: y" + 1.8y' – 2.08y = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Given the differential equation y" = 4y' - 3sin(4y) Find the Implicit derivative " dy/dx" of the…

A: Given problem:- Given the differential equation   y" = 4y - 3sin(4y)   Find the Implicit derivative…

Q: 18 -19) In which of the following intervals is f(x) = continuous ? A) -3 <x < 3 B) –7 < x<7 C) 1<x<…

A: Given problems:-

Q: 2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz) has a maximum or a…

A: Given problem:- (2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz)…

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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

Q: Suppose f(x) = r² + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

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Q: Find the partial sum Sn  of the arithmetic sequence that satisfies the given conditions. a = -45, d…

A: Use sum formula for given AP

Q: Complete the table. y = f(g(x)) U = g(x) y = f(u) 1. x +6

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2* – x has a critical number…

A: Find your answer below

Q: n! 4) En=1 en 5)E cos(an) 2n=3 n Hint: cosan = -1,1,–1,1, .. n? 6) Ση-0 n+1

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Q: y" + 3y' + 2y = 12x* %3D y" + 4y' + 4y = e¬* cos x

A: As per the guidelines I am supposed to do the first problem in case of multiple problems. So here I…

Q: 2.25 † Let I" -a" if x + a, f(x) = I-a if x = a, where n e N. Find the value of e that makes f E…

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Q: Consider the following. (If an answer does not exist, enter DNE.) C(x) = x-/3(x + 4) (a) Find the…

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Q: 8. Differentiate. Use the correct notation to label your answer.n Joot ai bonIRanom at ogts viinolov…

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Q: The length of the curve y from x=0 to x= 6 is

A: We need to find the length of the curve  y=23(x2+1)32 from x=0 to x=6

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A: Explained below

Q: y^(29) for y=-cos(x)

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* – x %3D has a critical number…

A: answer is in next step

Q: Test the series below for convergence using the Ratio Test. 67-1 n=1 The limit of the ratio test…

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

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Q: [x* sin 3.xdx

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: x/1 – x dx

A: ∫x1-xdx use the rule of integration by parts ∫ uvdx = u∫vdx - ∫u'∫vdxdx here u = x   v= 1-x u' =…

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Q: Calculate the first derivative of the function. Use the correct notation to label your answer. S(2)…

A: f(x)=x+x+xdifferentiate w.r.t xf'(x)=12x+x+x×(1+12x+x×(1+12x))

Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: Determine the convergence or divergence of the series. (If you need to use co or -00, enter INFINITY…

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Q: Find and classify the critical points of f(r, y) = 2y²x- ya? + 4yx.

A: Here we have to find and classify the critical points of f(x,y) = 2y2x - yx2 +4yx .

Q: 571 +3x +0.92x2. Use differentlals to estimate the change in cost when the level of production A…

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Q: At least one of the answers above is NOT correct. Fit a trigonometric function of the form f(t) =…

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Q: Solve the differential equation. (t - 3)*s' + 5(t – 3)°s = t+3, t> 3 The solution is s= (Type an…

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