#11Determine the conditions on parameter k such that the function f(x) = 2x +4 X2-K² will have critical points b.) Select a value for k that satisfies the constraint established in part a, and sketch the section of the curve that lies in the domain IxI≤k #13.) Determine the critical numbers and the intervals on which g(x)=(x-4)² is increasing OR or decreasing #14. Use the second derivative test to identify all maximum and minimum values of f(x) = x³ + ³x² - 7x +5 on the interval -4≤x≤3

Q: 7. For the function f(x)=2x-4x² -2 do the following: a) Find the critical points. b) State the…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Determine the zeros (x-intercepts) of the following function. Why can Rolle’s Theorem by applied to…

A: 3x^2-15x-18 3x^2-18x+3x-18 3x(x-6)-3(x-6) (x-6)(3x-3)   Zeros = 1,6

Q: Apply Maclaurln's Serles to Show (-1)*-1,2=-2) 2(n – 1)1 cos X=

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Q: 3. Let f(x) = x - r - 3x. Determine the interval(s) on which f(x) is increasing and the interval(s)…

A: To find the points of minima and maxima first we need to find the critical points of function by…

Q: Find the minimum value for p(x) = -x2 – 24x on the interval [-6,-1]. JUSTIFY YOUR ANSWER.

A: px=-x2-24x Differentiating with respect to x, we get p'x=-2x-241=-2x-24 Now to find critical values,…

Q: 5. Find the absolute maximum value on the interval [0,16] for f(x) = (x² – 16x)5 and state its…

A: Concept: If a function f(x) define on interval [a, b] then it's absolute maximum occure either at…

Q: The absolute minimum value of the function f(x) = 7x² – 14x + 9 over the interval [0, 8] 10 O 14 O 9…

A: For absolute maximum and minimum we need to check value of f(x) on critical points and boundary…

Q: 5. Determine algebraically whether the function f(x) = -3x5(4-9x2) ¹2 is even, odd or neither.

A: "According to the guidelines issued by the company We are supposed to answer only one question.…

Q: kimum and minimum r3 9y +1

A: Given as, f(x)=x3 -9x+1, -∞,∞

Q: 6. Given f (x) = (x – 2)² (x + 3) a) Find the interval(s) where the function is increasing and the…

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Q: If (1,7) is both a critical point and a point of inflection for the function 3 2 f(x)=x²- cx² - 3dx²…

A: fx=x4-cx3-3dx2+5x+5

Q: 11. Find the absolute minimum and maximum of f(x) = r3 - 4x2 - 3x + 3 on the interval [0, 4].…

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Q: 4. Let f(x) = g(x) = x -5, k-(10) +7 = 10 and h (x) = find: ther b. Domain of h(x). c. (hof)(2). (Z…

A: (NOTE:   As nothing is mentioned, so all functions are taken as real valued functions.)

Q: x² + 1 6. If f(x) = then Зx2— 1 a) find all the critical numbers. b) identify all intervals of…

A: As per our guideline we are supposed to answer only first three subpart of a multiple subpart type…

Q: 12. The functionf is defined on the interval [-2, 3] by f(x) = (3+2x - x2)'. If M is the maximum…

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Q: 2) The graph of f (x) = 0.5x(x – 4) (x – 7) is given below. d h a) Draw on the graph the local…

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