6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form: Sex²-b if x < 4 f(x) -2√x+c if x > 4 Find the values of b and c.

Q: 2. Which of the following is NOT a root of the function f(x) = (x² - 36)(x+1)(x- 1)? A -6 B -1 C 1 D…

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Q: Locate and classify any extreme and inflection points of the function f(x) = 4x5 −5x4.

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Q: A. f(x) = 3x² - 4 B. f(x) = x³ + 5x - 2 C. f(x) = 10x³ + 4x³ = x D. f(x) = 7x4 - 5x+8

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Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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Q: 2. Determine the roots of the following function and draw its graph f(x)=x^² - x³ - 16x² + 4x +48

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Q: determine the intervals on which the function is concave up or down and find the points of…

A: determine the intervals on which the function is concave up or down and find the points of…

Q: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: 3 For the function f(x): 2 find the x part of the x-intercept. I + 11

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Q: Evaluate the function. Find f(2), f(3), and f(2 + h) when f(x) = 2x² + 5x + 2.

A: Given: fx=2x2+5x+2 To Evaluate: f2, f3,  and  f2+h

Q: A farmer has 477 meters of fencing for a rectangular garden, where fencing is not needed for one of…

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Q: For the function f(x) = -6x² - 4x +4, evaluate and fully simplify each of the following. f(x + h) =…

A: Given query is to perform indicated function operations.

Q: 3. Which of the following statements is correct for the function A(I)=-x²+9x, where A(I) is the area…

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Q: An open-top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: I. Let f(x) = x + 2 and g(x) = x² + 4x+4. Perform each function operation and then find the domain…

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Q: 3. Determine the monotonicity of the following function: f(x) = -x3 – 3x + 6

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