. Find the value of a that makes the following function differentiable for all x-values. Jax, if x <0 ах, g(x) x² – 3x, ifx 2 0

Q: For what value of the constant c is the function f continuous on (-00, 00) ? S cx? + 8x RX) = {-x x3…

A: The given function will be continuous when limx→3+fx=limx→3-fx.

Q: Find the value for k so that the function will be continuous at x = – 1. 9x2 – 18x – 27 +9 if x - 1

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Q: For what value of the constant c is the function f continuous on (-∞, ∞)? ( cx2 + 2x x3 - cx if x <…

A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the…

A:

Q: Given that the function (x+2)(x+1), if x>b-2 -x+4, if x≤b-2 is continuous at x=b-2. If b>0, find b…

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Q: Suppose that f(x) is a differentiable function such that f(8)=7 and f(8)=1. If g(x)=sin(f(x)), then…

A: Given,

Q: For what value of the constant c is the function f continuous on (-o, o)? { Cx2 2x if x < 5 - x3…

A: Observe that, f (x) has discontinuity at x = 5.If it is continuous at x = 5, then continuous on…

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Given graph is as follows where the red graph shows f(x)  and a line tangent to the curve at x=4.…

Q: For what value of the constant c is the function f continuous on ( - 0, 00) where cx + 6 if a 7

A: Given      fx = cx+6            if x≤7cx2-6          if x&gt;7To find      Value of c where function…

Q: For what value of the constant c is the function f continuous on (-0, 0) if x < 5 f(x) ={ cx? + 8x…

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Q: and g(x) are differentiable functions, suppose that f(-2) = 1; f(1) = 5; f'(-2) = 3; f'(1) = 3;…

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Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

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Q: Find the value of a that makes the following function differentiablefor all x-values

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Q: For what value of the constant A is the following function continuous for all real x? if x<1 (Ax + 5…

A:

Q: determine if the piecewise-defined function is differentiable at the origin.

A: Consider the given function fx=2x-1,                x≥0x2+2x+7,         x&lt;0 The left hand and…

Q: 2. Consider the following function: y = f(x) = x" – 14° (a) Determine in which regions this function…

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Q: At which r-values is the following function g differentiable? Explain and compute, where necessary.…

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Q: Suppose that f and g are functions that are differentiable at x = 12 and that f(12) = 4, f ' (12) =…

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Q: Q2-For what value of b is the function x2 - 4x + 4 x # 2 f(x) = %3D x- 2 bx + 6 x = 2 continuous at…

A:

Q: Suppose that g is a function that is differentiable at x = 4 and that g(4) = -2 and g' (4) = 1. Find…

A: We are asked to find the value of h'(4)

Q: Find the value of k so that the function 5x+3 if x<3 f(x) =. kx2 if x 23 is continuous everywhere?

A:

Q: Suppose that f(x) is a differentiable function such that f'(8)=7 and f(8)=1. If g(x)=sin(f(x)), then…

A:

Q: 2. Find the x-coordinate of the point(s) of discontinuity of the following functions -16 x3 16х — 4,…

A: For x&lt; 3 , f(x)= -16 is continuousFor 3&lt;x&lt;6 , f(x)=16x-4 is continuous tooFor x&gt;6 ,…

Q: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: of Find and for the following function. f(x.y) = e 6xY In (5y)

A: The given function is: To find the partial derivative:

Q: For what value of the constant c is the function f continuous on (-00, 00)? cx2 + 2x if x < 5 f(x) D…

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Q: of Find and for the following function. f(x,y) = e Y In (3y)

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Q: For what value of the constant c is the function f continuous on (- o, 0) wh- cx + 7 if x 8 C =

A:

Q: Given the following function: y = x^4 - 8x^3 + 22x^2 - 24x + 2 on [0, 4], find the absolute extrema…

A: To find the absolute extrema of a continuous function on a closed interval [a, b]: Find all…

Q: For what value of the constant c is the function f continuouson  (∞,-∞)?

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Q: b) Find the intervals at which the function is concave up or concave down. ny. x2 f(x) = 16 – x2

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Q: Find the absolute maximum and minimum values of the following function on the given se f(x.y) =x?…

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Q: Which of the following functions is differentiable for all values of x? a. fAx) = 2r' + 5x² b.…

A: Given problem:-

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: 2. For what values of a and b, the following function is differentiable everywhere? f(x) = {ax + bx…

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Q: For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) =…

A: From the given function it can be observed that it is continuous for all values of x less than 5 and…

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

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Q: (b) For what values of the constants c and d is the function continuous and differentiable for all…

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Q: Given the function y=f(x), y' is found to be negative over the interval (4,8), then over this…

A: Given:→y=fx→y'&lt;0 for 4,8Then to find the nature of fx

Q: if x1 Let f(x) mx b if x > 1 Find the values of m and 6 that make f(x) differentiable. т

A: Given :

Q: Which of the following functions passes through the point(0,12) and satisfies.f"(x)= 8? A f(x)= 12x…

A: Given:- f'(x) =8 To find:- Functions passes through the point(0,12) and satisfies f'(x) = 8

Q: - (т + 1)с, (2х + 1)с — г? — 5, if x 1 f(x) =

A: Given the function f(x).

Q: If f(x) is a twice differentiable function with f(0) = 3, f(2) = 3, f' (2) = 4, Then æ f" (x)dæ =

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Q: 2. For what value(s) of x is the following function undefined? 1 f(x) %3D x²-2x

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Q: For what value of c is the function below continuous at x=-3? f(x) = { c  when x=-3 1 when x = 1…

A: The function                     f(x)=c                       when x=-31                       when…

Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere.…

A: We have to find the value of a and b

Q: Which of the following functions is differentiable on [1,4] Select one: а. x2 – 9 f(x) = 3 O b. f(x)…

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Q: For what value of the constant c is the function f continuous on (-00,00) f(x) =Cx+4cx+5 ifx<1…

A: Here we have to find the value of constant c for which the function is continuous.

Q: If f(x) is a twice differentiable function with f(0)= 1, f(2) = 4, f'(2) = 5, Then 2xf" ()d =

A:

Q: For what value of the constant c is the function f continuous on ( – 0, ∞) where | cy + 2 if y 4 -

A: