Q3 (4 pts): Determine whether the Mean Value Theorem applies on the given interval. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. f(x) = 3x² + 2x+5 [−1,1] Q1 (3 pts): One end of a 13-foot ladder is on the ground, and the other end rests on a vertical wall. The bottom end of the ladder is drawn away from the wall at 3 feet per second. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is 5 feet from the wall? 02 on next page. Q2 (3 pts): Find a linearization over an interval which will contain the given point xo. Choose your center at a point near xo, but not at xo, so that the given function and its derivative are easy to evaluate. Lastly, use the linearization to approximate f(x). f(x) = ln x, x。 = 1.05 хо

Q: b) Let c be any constant. Show that the function f(x) = x° +x +c_cannot have two zeros. (Use the…

A: Given that function f(x)=x3+x+c where c be any constant. For finding the real root of function we…

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Q: Find the values of m and n such that the function f defined by is continuous. m = Number n= Number…

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Q: Let f(x) =- 9x2 Determine the intervals on which f is increasing and decreasing.

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Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: (2x² + 5, if x 5 Consider the function h(x) = Find the value of B such that h(x) is continuous at x…

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Q: If f is one-to-one and f(- 12) = 11, then %3D f-'(11) = and (f( – 12))- =

A: The function f is one-to-one and f(-12)=11

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A: Given: fx=112x4+162-3x3-322x2 Formulas used: ddxxn=nxn-1

Q: 3. ( interval -2,6]. Here is the student's work: %3D A student used the Mean Value theorem on the…

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