Find the values of a and b that make the following function dif- ferentiable for all x-values. Jax + b, x >-1 bx-3, x S-1 f(x)

Q: . Find the value of a that makes the following function differentiable for all x-values. Jax, if x…

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Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: answer is in next step

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: find the specific function values. ƒ(x, y) = x2 + xy6 ƒ(-3, -2)

A: Given function:

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A: Given data:     The expression of the first equation of the line is: f(x)=5-2x/3. The second…

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Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

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Q: If f is a function defined by the equation y = f1x2, then x iscalled the variable, and y is…

A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

Q: Find the value of constant K that makes the function below continuous at x = 2. -2x X < 2 X-2 f(x)…

A: Given,           fx=x2-2xx-2 ; x&lt;2kx-3 ; x≥2

Q: find the value of the constant ( a, b, or c) that makes the function continuous.

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Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: If a and b are positive numbers, find the maximum value of f(x) = xa(5 − x)b on the interval 0 ≤ x ≤…

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Q: 6x if x 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let f (x) = 5* – 7x - , for what value of root that the relative error would be equal or less than…

A: Given that f(x)=5x-7x2 The newton method formula is, xn+1=xn-f(xn)f'(xn) Take the derivative for f,…

Q: iven f(x)= 2csc(x)^2 write the equation of the line tangent to y=f(x) when x=3π/4

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Q: At what points are the functions continuous? x + 1 y = x² – 4x + 3

A: Given  The function is y=x+1x2-4x+3.

Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

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Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

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Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Put second derivative zero

Q: Find the absolute extreme values of the function on the interval. 3) f(x) = In (-x), -5 s x s -1

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Q: Find the absolute extrema of the function on the closed interval.

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

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Q: Determine the range of the following functions. Express your answers using interval notation. y =…

A: Topic-function

Q: Determine the interval(s) for which f(x) = x4 – 54x² is concave down. Answer:

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Q: find all possible functions with the givenderivative. y' = 2x - 1

A: Given y'=2x-1 that is  dydx=2x-1 Integrating with respect to x, ⇒y=x2-x+C Where C is the constant of…

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

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Q: Find extreme values of functions and where they occur Y = x 3 − 2x + 4

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Q: Ex 5. Find the intervals of increase or decrease for f(x) = (x– 2) Vx² .

A: We have to find the interval where derivative of f is positive and negative

Q: Find the values of a and b so that f will be differentiable at x = 3.

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Q: Find the fx(x, y) and fy(x,y) of the following function x² – y3 f(x,y) %3D Inxy

A: Given: fx,y=x2-y3lnxy

Q: If a and b are positive numbers, find the maximum value of f(x) = x°(2 - x)b on the interval 0sx <…

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Q: find all possible functions with the givenderivative. y' = x2

A: Given function  y'=x2 That is dydx=x2dy=x2dx

Q: For what x-value is the function y = |x+5| not differentiable?

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Q: Determine if the given function is differentiable at a = 1 4 – 2x, if x 1

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Q: Give the interval where y is decreasing y=x²e^x

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Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f with…

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Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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Q: find all possible functions with the givenderivative. y' = 4x - 1/√x

A: Giveny'=4x-1x  To Find: All possible function with the above derivative

Q: Find the intervals where the function f(x)= x^2e^3x is concave up.

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Q: At what points is the function y = X 2 x + 5 - 13x + 40 continuous?

A: A rational function is continuous at all the points wherever it is defined.

Q: Find the local extreme values of the function y = x + x- & + 5

A: Given function f(x) = x3+x2 - 8x + 5 f'(x) = 3x2+2x-8 f"(x) = 6x + 2 By Second derivative Test,…

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

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Q: Find the values of a and b that make the following piecewise function differentiable

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 7)…

A: Consider the provided function and the point, fx=x2,  0,7 Find the points on the graph of the…

Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3