The table below gives selected values for the differentiable and decreasing function f and its derivative. If g(x) = f-'(x), what is the value of g' (4)? f(x) | f'(x) -4 4 -9 -2 2 -4 4 1 -5 9 -3| -10 10 -5 -6 Answer: g'(4) = Submit Answer

Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

A: Slope = dy/dx

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Q: SVa Inx dx

A: ∫xlnx dxBy using integration by parts=lnx∫x dx - ∫ddxlnx∫x dx

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

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: Find dy/dx by implicit differentiation. xby5 - y = x xp/Ap dy/dx = Need Help? Read It

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Q: Find the general solution for the differential equation. dy -20xy-5x 0 dx y = D

A: We have to find the general solution for the given differential equation.

Q: Evaluate the indefinite integral. S csc² 3x v4cot3x – 5dx ,and • Identify what is the u=? and du=? S...

A: Given:   Intergral is given

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Q: 0.3t ug -) of a drug t hours after being injected is given by C(t) : ml The concentration (in Find t...

A: The concentration of drug,Ct=0.3 tt2+38

Q: find The equation of the circle if its diameter has on end points of (6,1), (-2,3)

A: Solve by geometry

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A: Given: f(x)=x2-4

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A: Given problem:-

Q: Find the first And 2nd derivative  F(x)= e^x sin4x

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Q: e synthetic division to divide the polynomials. 4x - 6x* + 56x - 237x+52x- 21 x-3

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Q: Suppose that f is a function defined as f(x) = xª . drawn to the graph of f at x = 1. Use exact valu...

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Q: iven k (x) = 3 (x + 3)² -2, perform the following. Part: 0/3 Part 1 of 3 (a) Identify the power func...

A: (a) The parent function for k(x) = 3(x+3)^3 -2 is the power function y=3  

Q: 5n+1 Determine if the series > converges or diverges and choose the option that describes the behavi...

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Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct fl...

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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: Evaluate the integral. (Use C for the constant of integration.) 6 + du 2

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3) Fo...

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: (2y² + 4x²y)dx + (4xy + 2x³)dy = 0

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Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?, (...

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Q: Suppose that the equation of motion for a particle (where s is in meters and t in seconds) is 8 = si...

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Q: Date... anam Q. Find the Fouries Series of d sx) = -X-

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Q: Hew.3 Find dw and Dw when P=ty 9=4if- the de it W =Xy +y2+Zu +uV and x= Pa, y=4 tan P V = P+4+1

A: Given,           w=xy+yz+zu+uv and x=pq , y=qtan-1p , z=lnq-3p , u=q+5p ,           v=p+q+1To find :...

Q: the integral e** the integral S et3 dx is equal to: + C + C the above O the above eオ~3 + C -3ex + C ...

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Q: The given integral is e-x x'(-7x°)dx. Let u = -x'. Now differentiate u with respect to x. That gives...

A: The given integral is ∫e-x7-7x6dx.Let u=-x7.Now to differentiate u with respect to x. That gives du=...

Q: Find the derivative of v(t) = t5e-d Assume that c is a constant. v (t) =

A: Topic = Derivative

Q: Referring to Figure 11, suppose that F. ds = 9n, F. ds = 97 %3D Use Green's Theorem to determine the...

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Q: x3+64 is: 3- the limit of this function lim_ -4 2x²+6x-8 30 b)- 24 26 c)- 5 5

A: Topic = Limits

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Q: Topic: First order differential equations Analyze what solution you will use whether it is bernoulli...

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Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in ter...

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential equ...

Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is ...

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Q: You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in...

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Q: f(æ) = (62² – 5)*(5æ? – 3)" - f' (x) =

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

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s = - 16t + 28...

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Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x + h) - f(x) %3D h

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Q: Find the inverse laplace of 1/s^2+5s

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Q: Find the derivative of f(y) = ee&4) (Y) f' (y) =

A: Given:      f(y) = ee^(y^4) 

Q: y - sin xy

A:

Q: 1. (a) Plot the first four terms of the sequence 3n2 — Зп + 2 2 n=1 (b) (i) Write in bracket notatio...

A: Please see the below picture for detailed solution. 

Q: An investor deposits $9,000 into an account that pays 8% compounded continuously, and then begins to...

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Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)