1-4 Find the linearization L() of the function at a. 1. /(0) ) - x' - + 3, a--2 2. /() sin x. 3. /(x)=

Q: Use any method to determine whether the series converge. 00 19 (a) > EI Vk + 1 This series * cos () ...

A: (a) The given series is: ∑k=1∞19k+1 Let, ak=19k+1, k≥1  

Q: ) In this problem, you will find the area of the region bounded by the curves y = Vx, y = 2, and x =...

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Q: x2 + 5x + 8 if x 1 on the interval (-2, 3]. The maximum value is and the minimum value is

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Q: Find the local extrema and saddle points of f(x, y) = x² – 4xy + y° + 4y.

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Q: Explain the following intervals on the line numbers-3<x<5

A: We will explain the given interval on the number line in the following step.

Q: Compute the following limit. 1-cos(x) x3 as x approaches 0

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Q: ------ Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - 0o an...

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Q: Consider the function f() For this function there are three important intervals: (- 00, A, [4, B, an...

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Q: A retail company estimates that if it spends x thousands of dollars on advertising during the year, ...

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Q: f"(2) 1. Find

A: Given f(x)=43x2-23x+1f'(x)=-23*ddx(x)+43*ddx1x2+ddx(1)        =-2*13+4(-2)x-33+0

Q: Volume of a cylinder: V = ar²h Area of the sides: A = 2arh Area of the top/bottom: A = Tr?

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Q: 3 dx xV9- (In x)2

A: Let's find. 

Q: IV. Maxima-Minima problems 1. Find two positive numbers whose product is 100 and whose sum is a mini...

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Q: Find the maximum value of f(x, y) = 2x? y + 5 on the unit circle. (Give an exact answer. Use symboli...

A: Given fx,y=2x2y3+5 on unit circle. We have to find maximum value.  

Q: Applications of Maxima and Minima A rectangular box with a square base and no top is to have a volu...

A: topic - application of derivatives

Q: Use the difference an+1– an to show that the sequence - {n – 9n}+0 In=1 is strictly increasing or st...

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Q: " sin²(x) + sin(x) cos²(x) To evaluate the -dx using basic formula of integration (without using sub...

A: ∫sin2x+sinxcos2xdx = ∫sinx(sinx+1)1-sin2xdx                               = ∫sinx(sinx+1)(1-sinx)(1+...

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 Σ k(k ...

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Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

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Q: Problem 2 Evaluate the limit if it exists or state DNE (does not exist): V4u+1-3 a) limu¬2 u-2 b) li...

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Q: Write the first five terms of the sequence: +00 {Vn²+ 7n – n}n=1 Determine whether the sequence conv...

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Q: Determine whether the series converges, and if so find its sum. f the series diverges, indicate that...

A: Topic:- sequence and series

Q: lollars) and the demand x for a particular clock radio are related by the equation x = 5000 – 50p. p...

A: Please refer to the image below

Q: Problem 4 State whether false or true: The parabola is an even function. All functions are either ev...

A: Note:- This are multiple questions and according to our comapny guideline we can do maximum 3 questi...

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. 2+x if x...

A: A function f(x) is continuous at x=a if and only if limx→a- f(x) =limx→a+ f(x) =f(a).

Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1 si...

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Q: dx Find 1+tan x

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Q: The balance B, in thousands of dollars, in a CD account at a bank is a function of time t, in years,...

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Q: fly(x)) c? Vx U= x)こ

A: y=e3x U=g(x) y=f(U)

Q: lve the differential equation y" + 16y =0 for y(r). || olve the differential equation y" +4y = e for...

A: Please refer to the image below

Q: 10. If 72% of a certain quantity is 162, find the quantity. Ans. 225 11. If 16% less than a certain ...

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Q: 9e3x dx eVe6x – 25

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Q: Let f(x)=(x−7)(5x+3). Find an equation for the tangent line to the graph of f at x=11. Find the poi...

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Q: Find all Solutions för e such that 2/3 (а) sec @ %3D 3 (b) 2 sin? 0 – sin 0 = 1 (c) sec² x – 2 sec x...

A: a. given secθ = 233secθ = 23θ = sec-1(23)we know that secθ is positive in I and IV quadrantθ = π6, 2...

Q: 3. Differentiate the following function. Give the answer in a simplified and factored form. y = (x³ ...

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Q: differentiałe 7x²-5xy" 3.

A: Consider  7x2-5xy3=-4

Q: f(x+h)-f(x) = 2xh+h^2 -3h compute and simplify  f(x+h)-f(x)/h

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. k(k + 2)

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Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: fine the derivative flx) = (x" t 5v?_q) %3D

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Q: 9. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height a...

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Q: 2х -1 b) Find all asymptotes of f (x) = х —1 Show all necessary limits (including one-sided limits, ...

A: Given:- f(x) =(2x-1)/(x-1)  To find:- All asymptote of f(x) 

Q: From a.b = a.c it may be concluded that b = c. But this is just one of three possible solutions. Fin...

A: topic - vectors other solutions are a=0 and a is perpendicular to b and c

Q: 1. Sx2 In(x + 1) dx

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: 11,1117,11172,11173.....

Q: A retailer anticipates selling 4,950 units of its product at a uniform rate over the next year. Each...

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Q: Application of the derivative: I. Find the slope of the following curves at the indicated point. 2. ...

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Q: Q2/ Find the volume of the solid generated by revolving the region bounded by y = x² +1, y= x+3 abou...

A: According to bartleby guidelines i can do only 1 question please reupload 2nd qstn  

Q: 13. Determine algebraically whether g(x)= is an even function, an odd function, or neither.

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Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the forc...

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