The following limit represents the derivative of some function f at some number a. 10 (1 + h) ¹⁰ - 1 h What are f and a? lim h→0

Q: Consider the piecewise defined function Find the values of a and b that make the following function…

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Q: Let the graph below represent the function fx). a. For what values of x is f'(x) = 0? b. Describe…

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Q: Find parameters a, b, and c such that the following function becomes continuo x² + x – 6 if x 2 r2…

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Q: Determine if the function is continuous or not (using the definition) at the given z value. Then,…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: The graph of a function f is shown below. At the point indicated by A, determine whether the…

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Q: f (x) = x² – 2x ; a = 1 f (x) = |x| ; a = 0 f (x) = ; a = 0 3 x+1 f (x) = ; a = 3

A: f(x) =x2-2x  ,From graphContinuous and differentiable at a=1

Q: Let f(x) be the piecewise defined function a.-23.80 O b. 23.80 O c. -4.70 O d.-29.80 e. This limit…

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Q: Find the value of the constant a that makes the following function continuous on (-∞, ∞). 5x³ + 5x²…

A: We need to find a value that makes the function continuous.

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A.…

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Q: Match the graph of f with the correct sign chart. Choose the correct sign chart below. O A. f'(x) O…

A: A graph of the function is given, and we have found its sign diagram.

Q: If the limit definition of a derivative can be used to find f′, thenwhat is the purpose of using…

A: The geometric meaning of the derivative  f'x=ddxfx is the slope of the line tangent to y at x…

Q: Which of the following limits represents a derivative of the function f(x)=√x- ? O 1 lim h 0…

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