Match each function with its derivative. Y • x² x4 + 5x 1. cos x - - x8 8. sin x + x4 3x x4 -1. cos(x) + dy dx a. ln(5) 5* — 16. x³ . b. 4x³ + 8 cos x c. cos(x) + 1. ex d. − 4 · x³ + ln 3.3⁰ +3 e. 16. x + 1.sin(x) 2 5 f. 4.x - √x g. —8 · x7 — 1 · sin ä - x 4 4

Q: Find v-w, if v = - 4i + 5j and w = 6i - 4j. |v - w|| = (Type an exact answer, using radicals as…

A: We can answer both the question as below

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A: We need to find derivative.

Q: correct

A: We will find the points.

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Q: How the calculation below was done? Can you show step by step?  x / (0.001-x) = 0.5 x = 0.000333

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Q: e* (1-e*) (1+х) [Iin(1-х)] 12. lim,»0

A: LetL=limx→ 0ex1-ex1+xln1-xplug x=0L=e01-e01+0ln1-0L=11-11ln1L=1.01.0L=00Which is undetrminat…

Q: The function f(x) = x² - 16 The function f(x) = lxle f''(x)f"(x) changes sign at c=0c=0 f''(x)f"(x)…

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Q: If there is no solution, state that there is no solution and explain why.

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Q: Suppose f(x, y) : where x = r cos 0 and y = r sin 0. 4 af af and ar Find when r 1, 0 -

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Q: 2-]x³.e* dx 3- S x².cosx dx

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: Given query is to find integral converges or diverges.

Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

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Q: 4. If y = x cos x determine the 5th derivative. [y6) = (60x – x³) sin x+ (15x? – 60) cos x] |

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Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A: topic -rate of change of a function

Q: af af Find and for the following function. Əx ду f(x,y) = x² - 2xy +9y² af ?x II

A: This question is related to partial differentiation, We will solve it using given information.

Q: 8. If y = (x³ + 2x²)e2* determine an expansion for y(5). [y(5) = e2*2*(2x³ + 19x² + 50x + 35)]

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Q: .

A: We will find the temperature.

Q: Father of Calculus Isaac Newton and Gottfried Wilhelm Leibniz Hipparchus of Nicaea Antoine Lavoisier…

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Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: Suppose you go to a company that pays $0.04 for the first day, $0.08 for the second day, $0.16 for…

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Q: Use Green's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy for the given path. C:…

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Q: . Find dy for each of the following: dx 2-x? a) y = ln- 1+x b) y = Vx+e-x c) y = 52x+3

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Q: a²fa²f The two-dimensional Laplace equation + dx² = 0 describes the potentials and steady-state…

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Q: of and дх of Find for the following function. dy f(x.y) = (x' - 4) (8y + 7) of dx

A: To find ∂f∂x and ∂f∂y for the following function.fx, y=x5-48y+7

Q: 1.6 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION

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Q: Consider the function. f(x) = x? - 2 (a) Find the inverse function of f.

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Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n-5 Ps(x) =

A: In this question, we want to find the maclaurin polynomial of the given function when n=5.

Q: Find the center of mass of the region bounded by y=2sin(2x),y=0y=2sin⁡(2x),y=0 on the interval…

A: Given

Q: 218x- 2y-z= 10 x-3z = -2 3-x+y-3z=-4 |

A: We will solve this system of equations algebraically.

Q: find Ahe Longth o fthe cerc 2 froom @aobo @-

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Q: df Find and dx dy for the following function. 7 f(x.y) = x' - 3xy + 6y? df

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Q: -5x+y3-3 3x -8y 24

A: We have to solve the given equations

Q: x2 22-23. Find the derivative: y = x-11 22x A) (xー11)? B) (x-11)2 x2-22x C) (xー11)? x²+22x D)…

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Q: Suppose f(x, y) = xy + 4. Compute the following values: f(x + 4y, x – 4y)= - f(xy, 6x²y³)=

A: We can find the given function .

Q: Use the graph of g(x) to answer each question. (a) Find the domain and range of g(x). Write the…

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Q: Consider the curve defined by the equation y = 5x + 3x. Set up an integral that represents the…

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Q: Find the partial fraction decomposition of 2 + 2x-8

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Q: Integrate the function f(x,y)=(2x+3y+9) when y from 2x to 1 and x from 0 to 1 is Select one: O a.…

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Q: Let f(t) Find the Laplace transform F(s) by computing the following integral: 00 [ f(t)e=" dt = […

A: This question is related to integration, we will solve it using given information.

Q: 4. Which of the following is the maximum value or the minimum value of the graph of polynomial…

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Q: Differentiate each function. Simplify as much as possible and express all answers using positive…

A: As per bartleby guidelines we only give first three question answers.  Let's find all…

Q: Find the radius of convergence and interval of convergence of the series. (-1)"-1 – 1)"- . I

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Q: find the Fourier series of the following equation -1<x<0 (-) f(x) = }x 0 <x<1 1<x <3

A: Given

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Q: Find the area of the surface generated by revolving the given curve about the x- axis. y=6x, 0≤x≤ 3…

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Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: end of 35 years and 9 months, if the interest raté is 6% compounded quarterly. 4. Accumulate P 1,100…

A: Given problem:- Accumulate P 1,100 at 8% compounded monthly for 25 years and 5 months.

Q: Consider the level surface given by 2a? + 5y + 2? 4. Match the slices with their correct plots…

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Q: En²e-n³

A: