Consider the piecewise defined function Find the values of a and b that make the following function continuous. g(x) कर x² + ax+ { 46 if x ≥ 3 -x²+2a if x < 3 - Use the limit definition of the derivative to determine all possible values of a and b that make g into a differentiable function at x =3. What is the value of b? (You do not need to enter the value of a .) Enter your answer as a decimal. Round to three decimal places (as needed).

Q: Find value or values of x that will make function f(x) = -3x2 + 7 discontinuous

A: The given function is! f(x) = -3x2 + 7 .

Q: Determine all maximum and minimum turning points of the function: y= 3x* + &r' -90 Find also, the…

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Q: 62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2…

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Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

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Q: x²-4x+3 f(x) = x2-1

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Q: Let f (x) = x / x - 1 and graph the function f (f (x)) in the window [ -15, 15] by [ -10, 10]. Trace…

A: Consider the provided function, fx=xx-1 Find the formula of ffx. We can write as, ffx=f∘fx. So,…

Q: A ball is thrown upward of a 100 meter cliff with an intial velocity of 6 m/s. The function f(x) =…

A: Given: - A ball is thrown upward of a 100 meter cliff with an initial velocity of 6 m/s. The…

Q: a) y = -3f(x) Domain: Submit Answer Incorrect. Tries 1/99 Previous Tries Range: Submit Answer Tries…

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Q: sinh x d Find dx 1 dt t2 + 1

A: We will apply Leibnitz theorem to solve it

Q: The graph of the function f(x) is shown below. It consists of a semicircle and two straight line…

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Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: Find the open intervals where the function f(x)=-2/x+1 is concave up and concave down. State any…

A: According to the given information, it is required to calculate the interval where the function is…

Q: Find f(x)

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Q: f'(x) = 6Vx ; f(1) = 7,

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Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Find the derivative using the formal definition f (x) = 3x2- 4x – 2

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Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

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Q: Find the value k that makes the function continuous. kx f (x) = x > 9 - -7x – 7, x < 9

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Q: 3X-6 13. A function f is defined by f(x) = x²+ x-6 a. for what values of x is f(x) not continuous b.…

A: The given function is f(x)=3x-6x2+x-6