To evaluate the integral V-x² + 9 xp- which of the following substitution should be used? Select one: O a. None of these O b. 9 tan O c. 3 sin 0 O d. 3 tan 0 O e. 3 sec 0

Q: If f(x)= x³ -3x² +2x -1, then what is f' (-1)

A: f(x) = x3 -3x2 +2x -1 

Q: Given f'"() = – 16 sin(4z) and f'(0) = – 3 and f(0) = – 2. Find f): Question Help: Message instructo...

A: topic - functions and integration

Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x thou...

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Q: B. Apply the quotient rule to find the derivative 1. y 4-7x 3. y = 5- 3x

A: From the quotient rule of derivative we get Let,  y=uv where u and v is function of x then dydx= vdu...

Q: Find the absolute maximum value of f(x) = 2x In and say where it is assumed. %3D | The absolute maxi...

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Q: Evaluate the integral -drz.

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Q: Given the function f, discuss its relative maximum and minimum points, the intervals where it is inc...

A: A function f(x) is increasing on (a,b) iff f'(x)>0 ∀x∈(a,b) and decreasing on (a,b) iff f(x)< ...

Q: For the function f(x) = x - 4, construct and simplify the difference quotient f(x + h) - f(x) The di...

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Q: Determine the interval of convergence of 5 –1)"3nx" n² – 5 n=1

A: Use the ratio and find the limit then check for convergence. 

Q: Determine whether the improper integral converges or diverges. If it converges, determine the value ...

A: To check: Whether the integral converges or diverges. Given information: The integral is ∫16 2x-545d...

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: Determine whether the improper integral diverges or converges. dx e6x + e-6x converges O diverges Ev...

A: The given integral,       ∫0∞1e6x+e-6xdx

Q: LESSON 10 A Find the derivative using the three-step rule. 2. y = x - 5x +3

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Q: 2. How many alphabet characters should a password be composed, making sure that there are at least 2...

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Fundamental Theorem of Calculus 1. Consider f(x) = 3|x|, which is in R[-2, 2]. a. Find a continuous ...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: A farmer has 800 meters of fencing material to enclose a rectangular pen adjacent to a long existing...

A: Let's  answer 3rd questions. 

Q: Н. arccos 3x dx Evaluate the indefinite integral. , and (1-9x² • Identify what is the u=? and du=? S...

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Q: 11. In the problem, t is a real number and P = ,-26 is the point on the unit circle that corresponds...

A: Topic = Trigonometry

Q: Consider the function f(z) = 2x°- 6r on the interval -3, 3]. Find the average or mean slope of the f...

A: topic - functions and derivatives

Q: sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4 s2 =  s3 =  s4 =  s5 =

A: A sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4

Q: B. Hyperbolic Functions 4. y = e-* cosh In (x) 5. x = Arcsinh?(1 – b)

A: Please check question number 5, there is a mistake. I am solving question number 4. Please rectify a...

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder y = ...

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Q: f (х) — (х — 1) (х — 3) 12

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Q: Find the sum of the scrics k – Vk2 – 1 Vk(k + 1) - k=2

A: we will find the sum using sequence of partial sums. 

Q: I. Use the limit of the rates as Ax approaches zero. Ax 3. y = x3

A: Given: - y=x3, the limit of rates ∆y∆x as ∆x approaches zero. To calculate: - The complete solution ...

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

A: As per guidelines we are bound to solve first question only... Thank you

Q: Find the linearization L(x) of f(x) at x = a. f(x) = a = 0 4x +3

A: topic - linearization of a function

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

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Q: Find the number(s) b such that the average value of f(x) = 6x² – 62x + 132 - on the interval 0, 6 is...

A: Given   fx=6x2-62x+132   ,    favg=15      We have to find b value for interval [0,b]

Q: Consider the given function m (x) = - 3x - 15x +148. (a) Write the function in vertex form. (b) Iden...

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Q: 5. Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wands are p...

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Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros fo...

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Q: f(y) = ee&")

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Q: Find the slope of the tangent line to the graph at the given point. (4 - x)y? = x3, (2, 2) Cissoid:

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Q: Solve the system of equations for the intersections of the two curves ( 62² + 3y? = 132 l7y? – 2? = ...

A: We can list the coordinate of intersection point as below.

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

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Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

Q: please solve it fast )

A: In this question we will use basic concepts of algebra i.e concepts of combination. Solution of the ...

Q: Evaluate the indefinite integral. (x2 – 6x + 9)dx , and • Identify what is the u=? and du=? Show the...

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Q: Q2) Find : (a) lim (2 + x) x-4+ 16-x 1-secx 0 sinx cos2x sintx (b) lim (c) lim (d) lim x-0 sin2x cos...

A: Dear student, According to bartleby guidelines when student post more than one question then expert ...

Q: Consider the function f(z) = 4 8z on the interval [- 1, 4]. Find the average or mean slope of the fu...

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Q: Determine whether it is divergent or convergent. Justify. (2n)! E(-1)" 2n+1 n=1

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ху %3D ...

A: topic - implicit differentiation

Q: Suppose that the functions fand g are defined as follows. f(x) = -5x²+1 g (x) = /x+3 Find f-g and f....

A: (f-g)(x)=f(x)-g(x)(f-g)(x)=-5x2+1-x+3Domain x+3≥0x≥-3Domain of f-g : x∈[-3,∞)

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: Consider the function f() = 2r + 8 on the interval [-7, 5]. Find the absolute extrema for the functi...

A: Given: f(x)=2x+8, [-7,5]

Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

Q: Determine if f and g are inverses of each other. (a) f(x)= V -3-2 and 9(x) = (x+2)° + 3 2x +1 g(x) =...

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Q: Mary needs to borrow $10,000. She can borrow the money at 6% simple interest for 5 yr or she can bor...

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