Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D Upload your paper in the next question. The slope of the tangent line, rounded to the nearest hundredth, is

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Q: 9. A company is planning to sell a new product. The marketing department has done some research, det...

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A: From chain rule  If g(x) is a differentiable function, then the derivative of eg(x) is g'(x)*eg(x) ....

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A: First we find out the characteristic equation of the given differential equation.

Q: If f(x)dx=6, | f(x)dx=2, and] f(x)dx= - 3, find / f(x)dx. B 3.

A: Given query is to find the value of the integral.

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A: topic - derivative of a function

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Q: ermine the solution to the initial value differential equation dy ( = 10 x7Y+5 y (0) = 10

A: Given query is to find the solution of the differential equation.

Q: Number 24

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Q: x³ – 27 dx . x - 3 Find the antiderivative of A x3 – 3x2 + 9x + C x2 3x B) + 9 + C - - 3x2 9х + C 3x...

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Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

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Q: The function below is continuous at every real.number. Find the value of (m + 3/2). 1– 2x if x >4 mx...

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Q: Find the equation of the tangent line T(x) to the graph of the given function at the indicated point...

A: Given, y= 2x/(x-1) By differentiating we get the slope of tangent.  

Q: Evaluate the integral. Give an exact answer. V2/2 7x2 dx = [Ans] 1-x2 Show your work separately and ...

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Q: iv. An = In(n + In n

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Q: бх2— 2х +5 dx? 2х + 1

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Q: Find f'(x) for the function. RM) = 7x(17x* + ) x + 1 f'(x) = %3D

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Q: q7

A: We will solve the Differential equation. 

Q: A particle moves along a straight line and has acceleration given by s(1) = 41 +3. Its initial veloc...

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Q: 4x2 - 15x-4 Let f(x) = Find the indicated quantities, if they exist. X + 9x - 52 (A) lim f(x) (B) li...

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Q: 8. fx,y) = sinx cos y

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Q: x² – 6 f(x) x+1 > graph of f(x) as x approaches negative infinity -20 -10 10 20 30 40 graph of f(x) ...

A: Solution of question is written in below steps.

Q: use the tangent plane to estimate the value of √(4.8x5.02)

A: use the tangent plane to estimate the value of √(4.8x5.02)

Q: Given that lim f(x) = - 8 and lim g(x)= 2, find the following limit. X→3 x-3 lim [8f(x) + g(x)] lim ...

A: topic - limits

Q: Find the area enclosed by the x axis and the curve y= 4-x2

A: Find the area enclosed by the x axis and the curve y= 4-x2 

Q: For the function f(x,y) = 2x* - 2y* - 11, find of of and of of II

A: Solution ) f(x,y) = 2x4 - 2y4 - 11 Partially differential with respect to x ∂f∂x  = 2 × 4 × x4-1 - 0...

Q: The function f(x) = 2/(x-5) is continuous on the interval (0, 5). Select one: O True O False The fun...

A: Answer: false

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A:  w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: Let f(x,y) = 5xy² + 4x*y. Find and ayöx dx дхду дудх

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Q: Find an equation in cylindrical coordinates for the rectangular equation = x² + y² – 6 Entry Tip #1:...

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Q: A particle moves along a straight line and has acceleration given by s"(1) = 41 +3. Its initial velo...

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Q: Given points P(2, 4, 3) and Q(1, -5, 2) in the rectangular coordinate system. What is the resultant ...

A: Given points P2,4,3 and Q1,-5,2  in the rectangular coordinate system.We need to find the resultant ...

Q: d The power rule for finding derivatives is dx for all exponents n. 9 as 9Vn for some n. V In order ...

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Q: The following table gives the values of f(x) as x changes values. What is the lim,, +3 f(x) ? 2.85 2...

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Q: 30 f(t) dt = 11 f(5) = 23 • f(30) = 27 f(6 In(x)) dr Evaluate:

A: Given: ∫030f(t)dt=11...............(1)f(5)=23.................(2)f(30)=27................(3)

Q: Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x....

A: Here, the given equation is: 7-9x=x3⇒x3+9x-7=0 Let, f(x)=x3+9x-7 And, the initial value given is: x0...

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Q: S: +3 What is the antiderivative of dx ?

A: NOTE: Refresh your page if you can't see any equations. .

Q: Thus, the graph of f(x) = 4 cos(X) (x, y) = ( ) (smallest x-value) (х, у) %3D ( (x, y) = ( ) (larges...

A: We will find the points as shown below

Q: y 1.0- 0.8- 0.6+ 0.4+ \0.2+ -2 -1 2 -0.2 The regions bounded by the graphs of y = and y = sin'z are ...

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Q: Given that lim f(x) = - 8 and lim g(x) = 3, find the following limit. X→1 X-1 3-f(x) lim x+ g(x) X1

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 5x² – 4 dx x3 + 2x2 3.

A: (3) Given: - The indefinite integral is, ∫5x2-4x3+2x2dx To find: - The solution of the given indefin...

Q: On the graph of the function f(x) the following sequence of transformations is performed: 1. vertica...

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Q: A function F is an antiderivative of the function f on an interval I if for all x ɛ I A F(x)=f (x) B...

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