Consider the function y= f(x). If we shift f upward by 7 units and reflect it about the x-axis we get the new function g(x)= 2x+1. What is the equation for f

Q: Find the risk of having accident, R. If R is a function of blood alcohol concentration, x, that is…

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Q: Find the derivative of the function. F(e) = (3t + 18)2/3 f "(e) =

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Q: Find the equation of the function g(x) described above.

A: We know that if the graph of function y=f(x) is stretched by a units(a>0, shifted to the right by…

Q: Find the 1st and 2nd derivative of this function: x=(t-2)5/2  y=t3-5

A: We will differentiate the function twice to get the first and second derivatives as follows while…

Q: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

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Q: Q2: A) Find an equation of the line tangent to the function of x+ (y-x)2 = 9 at x 1.

A: Answer

Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 0. 1 (a) f'(-3) (b) f'(-2)…

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Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A: Given, a parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Let the…

Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

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Q: Find the first and second derivative of this function: x=(t-2)5/2  y=t3-5

A: We have to find derivative

Q: Find the derivative of the function.

A: ddx3x2+4x-8x32Apply the Quotient Rule:  fg'=f '·g-g'·fg2=ddx3x2+4x-8x32-ddxx323x2+4x-8x322Solving,…

Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

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Q: The graph of a function f is given below. JW y = f(x) X

A: from left graph of f(X) is increasing , f'(x) > 0  after that slope of line is steeper ,…

Q: Find the domain and range of the function f(x, y) = ln(5 − x − y)

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Q: Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

A: we will find the equation of fx using secant function. Let a function: fx=asecx By using graph we…

Q: Find the derivative of the function. F(e) = (9t + 14)2/3 f (e) =

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function

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Q: 19. D 20. 21. y = x + 1

A: We have to find derivative

Q: The Range Rf for the function y = Vx is:

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Q: Determine where the graph of the function is concave upward and where it is concave downward.…

A: The graph is shown below:

Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

Q: Find the derivative of the given function.     y=x^(11/5)

A: (d/dx)(x^n)=nx^(n-1)

Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

A: Topic:- function and it's Derivatives

Q: Here is a function of the form f (x) = ab". Which point on the graph immediately tells you the value…

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Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 (a) f'(0) (b) f'(1) (c)…

A: Given, The graph of function y = f(x).

Q: Find the second derivative of the function F(t) = 3tsin(r³). Answer F"(1) =

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

Q: d y is a function of tin

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Q: Find the derivative of the function.

A: The derivative of a function can be calculated by differentiating the function with respect to the…

Q: Use the given graph to estimate the value of each derivative. y A y= f(x) 1 0, 1 (a) f'(-3) (b)…

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Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x…

A: Given information:The given function is

Q: If f is a one-to-one function with f(2) = 8 and f'(2) = 6, find the equation of the line tangent to…

A: Give f(2)=8 ,f'(2)=6  Using this we can derivative of find f^(-1) and then we will find equation of…

Q: Find all points at which the direction of fastest change of the function f(x, y) = x² + y - 4x - By…

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Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: From given the volume function is fx=x3.

Q: 6- For the function y=lnx a- Describe what type of function it is. b- How is the function related to…

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Q: Find the third derivative f"" for the function f(x) = I-5

A: The first derivative of is given as: Also the derivative of a function in form of is: The given…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 12 e* +…

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 48x, f'(1) = 0, f(1) = 16

A: We have to find f'(x) and f(x).

Q: Find the derivative of the function. t2 (a) F(æ) = |7 1+t3

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Q: Use the given graph to estimate the value of each derivative. y = f(x) 1 1 (a) f'(-3) |-1.5 (b)…

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Q: Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of…

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Q: Find the derivative of the function. g(t) = t2 − 4/t3

A: Given:gt=t2-4t3

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= f(x) (2 + 3x)(6-5x)…

A: Given:

Q: Find the exact value of fo f(x) dz for the function f(x) graphed below.

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Q: -2x Answer the following questions about the function whose derivative is f'(x) = (x+5) e2x,

A: Given f'(x)=(x+5)e-2x  we need to find the critical point, interval of increase and decrease, and…

Q: At what point (x, y) is the function f(x) = 6x - 6 closest to the origin? Enter an exact answer.…

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Q: I. Differentiate the given functions: (simplify your final answer) 1. f(x) = 2e* – 6* -

A: Given That: The function, f(x)=2ex-6x

Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.