Graph the functions in Exercises. of the function on the interval and say where they occur. Then find the extreme values 1. f(x) = x- 2| + x +3. -5 xS 5

Q: a) Kindly find out if this series is whether convergent or divergent. b)Explain and justify the answ...

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Q: Give the equation of the horizontal asymptote, if any, of the function. g(x) x2 + 8x - 3 x- 3 Oy=0 O...

A: Since, when the degree of numerator is greater than degree of denominator by one then there is no ho...

Q: 2x x² – dx 2 — Зх — 10 3.x

A: Given ∫2x-3x2-3x-10dx We know that dxndx=nxn-1 Also, ∫1xdx = lnx+C

Q: The graph shows the contour map of seawater density p (S,T) (kilograms per cubic meter) as a functio...

A: Calculate the temperature and density at point A and B then take the average change. 

Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

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Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it hi...

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Q: Given the following multiplication problem Equation 1: - 24V,=-8V2 -24 8 gives us equations -2 Equat...

A: From the matrix, we have the eigenvalues as  λ1=-26λ2=0 When, λ1=-26 the eigenvector is μ1=-41

Q: x-2 6) Find the antiderivative: - (x+1)2+4

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Q: IV. Find the equation of a line passing through (-1,4) and perpendicular to the line x+5y-4=0. V. Fi...

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Q: ,2 - x + 6 Integrate -dx. x3 + 3x The partial fraction decomposition is (write all terms as fraction...

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Q: (-1)"+12nx" n2 + 3 n=1

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Q: Write out the form of the partial fraction decomposition of the function -V2 a3 – a² + a x³ (x – 1)4...

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Q: 13. Find the length (units) of the arc of the curve 8y = x* +; from x = 1 to x = 2. 35 а. 16 33 33 b...

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Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: Find an equation of the parabola that has a focus at (2, 17) and a vertex at (2, 9) y = Find an equa...

A: Follow the procedure given below.

Q: ind vector V such that the vector has a length of 16 and makes an angle of pi/3 with the x-

A: Topic = Vector

Q: Determine whether the alternating series converges. Σ k + 1 7k + 1 k=1

A: ∑k=1∞(-1)k+1k+17k+1  Above Series is an alternating seriesApply Liebnitz Testlet   ak=k+17k+1      a...

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given ...

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select ...

A: We have to find the value of c by mean value theorem

Q: Find the volume of the solid obtained by rotating the region bounded by 2y about the line x = – x = ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Differentiate. 5x y = et 5- 5x y' = %3D et

A: Yes above answer is correct, lets see how to solve... This is the simple question based on different...

Q: Find the derivative. 5+ sec q 5- sec q

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Q: 238 The isotope of plutonium 40° Pu is used to make thermoelectric power sources for spacecraft. Sup...

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Q: Since both equations will always be equal to zero, we will automatically move the V2 term to the rig...

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Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5' ...

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Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

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Q: nyn (a) ► n² + 2-n n=1

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Q: Find the critical numbers of the function f(x) = 2x3-15x2+36x - 24. %3D O a -2 and3 O b. 2 and 3 Oc....

A: Topic = Algebra & Derivative

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than ...

Q: 0. Find a point on the line 3x +4y -25 =0 which is closest to the origin.

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Q: Let h, k, m, neR such that n > m >0. A general equation corresponding to the above surface is: A) (z...

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Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the...

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Q: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to fi...

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Q: 1. Determine if the set or relation forms a function. (a){(-2, 1), (2, 2), (-1,2), (1, 2), (0, 2), (...

A: Using Definition of function.

Q: A. Prove that the function is discontinuous at the number a. Determine whether the discontinuity is ...

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Q: Solve the problem. Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in t...

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Q: The result of the integral dx (x + 2)(x + 1) is equal to Select one: O a. None of these O b. In|x + ...

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Q: 12) y"-3y' +2y=0, y(0) =-1, y'(0) = 0

A: topic - differential equations

Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x) ...

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Q: Find vector V such that the vector has a length of 16 and makes an angle of n/3 with the x-axis.

A: Given problem:- Find vector V such that the vector has a length of 16 and makes an angle of π/3 with...

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

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Q: Find dy/dx by implicit differentiation. xby5 = y = x dy/dx

A: Let's find. 

Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at (-1,11...

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate 

Q: 1. Create a Table of Values to find the limit of each function. (Use at least 3 distinct values of x...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: 14. A 5 m pole, leaning against a wall slips in such a way that its base is vaet moving away from th...

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Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +oo +oo (2n...

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Q: The Laplace transform of a continuous function over the interval | 0, ∞) is def F(e) = / ° f(x)dx. T...

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Q: What is the slope of the line tangent to the graph of a function defined by f(x)= x² + √x at x=1?

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