Evaluate the integral of the improper fraction using partial fraction method - 2x + 6 + 1 d. 2x-8

Q: Question 3. Let P be the collection of all polynomials of finite degree. Let I : P → P be the integr...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

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Q: 5. Does the function f (x) = -2x³ + 2x2 + x- 1 ever have a negative slope? If so, where? Explain and...

A: Topic:- function and it's properties and derivatives

Q: Solve the differential equation with appropriate method. Express final answer equated to y^n. (e.g. ...

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Q: Use Stokes' Theorem to calculate the integral / curl F · dà where F = -5yi+ 5xj + (xy+4 cos z)k and ...

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Q: •tan(e-x) Given: ex Find: du exdx e-*dx - exdx O -e-*dx

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Q: Evaluate /| F - d5 , where F = and S is the helicoid with vector equation r(u, v) 0 < u < 4, 0 < v...

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Q: dw In each of the following, find dr and ds using the Chain Rule. 1. w = xy + yz+2z; x =r+s+t; y =rs...

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Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: The graph below is the function f(x) 4- 2. 4 8. |10 -7 -6 -5 -1 -- 10 -9 -8 -4 -3 -2 -2

A: Topic = Functions

Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

Q: || x? zdS, where S is the part of the plane z = 1 + 4x + 3y above the S. Evaluate rectangle [0, 3] x...

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Q: Set up (do not solvel) the volume of the solid whose base is bounded by y = x, y = 0 and x = 1. with...

A: We need to set up integral.

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: The given function,       19 cosπx

Q: For the cost function, find the marginal cost at the given production level x. State the units of me...

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Q: Determine the Laplace Transform of the functions shown and simplify.

A: We can evaluate the Laplace transform of the given function by using the following formula.

Q: Given: 5e-x-6e-3x Find: u O 5e-x - 6e-3x 5e2x – 6 5-бе-2х V5e-x - 6e-3x

A: ∫ex5e-x-6e-3x3dxSubstitute v=ex→dvdx=ex→dx=e-xdve-3x=1v3e-x=1v=∫15v-6v33dv

Q: An aircraft is flying at 330 ft/s with an elevation of 180 ft from the ground, on a straight-line pa...

A: Question- An aircraft is flying at 330 ft/s with an elevation of 180 ft from the ground, on a straig...

Q: dx Evaluate xV x2 - 4 브4 프2 0 8 O O

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Q: Evaluate the integral SV5+12x² – 4xª xdx 1 -(5+ 12x² – 4xª) ² +C 24 (2x2 – 3)/5+ 12x? – 4xª + 14Arcs...

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Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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Q: Зх-5 Given: (3х- 1)(х - 3) Find: u x-3 О 32 +3 О 3x2- 10х+3 Зх- 1

A: Explained below 

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)

A: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)  

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 – 2x2 – 4x + 1, [-1, ...

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Q: dx Given: Vx sin/x Find: Formula o Sesc u du O2 fcsc u CSC du O 2 sin u du Ssin u du

A: Explained below 

Q: Consider the following graph. y 3 2 1 X -10 -8 -6 -4 -2 2 Identify the parent function represented b...

A: The objective is to identify the parent function ,the transformation represented by the graph and th...

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

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Q: Determine if the given function is continuous at -1. * x < -3 - 3<x<-1 x + 7 |x – 2| f(x) = { x2 – 2...

A: determine if the function is continuous or not. type continuous if the function is continuous at a c...

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: In the taylor's expansion when a=0 , then it is called maclarian expansion.    

Q: A curve has an equation of y x - 6x + 9x + 2. Find the point of inflection of the curve. Оa.(2, 4) O...

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Q: dx Sz Given: 2x - 3xlnx Find: du 3 dx dx dx X dx

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Q: Čonsider the following nonlinear programming problem Maximize Z = 36x, +9x¡ – 6x¡ + 36x, – 3x X, +x,...

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Q: 4x3 %3D 1. mtegrate. de - aya dx 4x3 du = 4x° dx %3D Jxt -2 xp: こ -112 du te 2(x*- 2) ° +C %3D %3D

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: We will use the following concepts:-

Q: Find the rate of change of the volume of a cube with respect to the length of its side s when s =3 ...

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Q: A solld is obtained by rotating the shaded region about the specifled line. about the x-axis y 4 y =...

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Q: Find the total differential dw. 1 5. w = x tan¬' y – 2ªyz -

A: Solved below

Q: Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of...

A: Given:       f(x) = 4x3 + 6x2-24x+1

Q: Given f(x) = x- 1 and g(x) = x2- 1 Find and simplify the following 1. g {f (x)} 2. g-1(x)

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Q: 10. Using back calculation, find out what the function f(x) should be so that the second derivative ...

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Q: a. Use the Taylor error bound to compu approximation given by T3. Show your work, state any definiti...

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Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

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Q: cos a – sin' z Vhen asked on what is the lim which of the following process is not useful to find it...

A: Given query is provide the process of finding the limit.

Q: Evaluate csc?x cot(cot x) dx. O -In |sin(cot x)| +C O cot(csc?x) + C O - csc?(cot x) + C O In |sin(c...

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Q: sec (In x) + sec2(In x) tan(In x) 2х Given: dx Find: du tan(in x) 2х sec³(In x) + sec²(In x) sec(in ...

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Q: A solld is obtained by rotating the shaded reglon about the specifled line. about the x-axis y y = V...

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Q: 4-x lim x-4 Vx-2

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Q: . A function f(x) that is discontinuous at a point x = a in its domain may still have a limit that e...

A: Find your answer below 

Q: Find the shortest distance, d, from the point (4, 0, -4) to the plane x + y + z = 4. d =

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Q: х — 1 f(x) = }3x – 3 (-4x + 3 x 3

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