Find the range of values of x for which f(x)=x^3-5x^2-8x+2 is decreasing.

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Q: Evaluate the limit assuming that lim f(x) = -5 and lim g(x) = 2: I→1 I→1 lim f(x)g(x) z+1

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Q: Evaluate the limit If the limit does not exist enter DNE. Limit= 7x lim 268 +2³

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Q: Problem 92. Construct the formula for r = f'(x) if f(x)=√√√x+√x+√x.

A: The Power Rule:The Chain Rule:

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Q: Conclude that the sequence (an) is a decreasing sequence, where 1 2 1 an = 1+ +.... + - In n. n Draw…

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Q: Use the graph of f and g. Let p(x) = f(x)g(x) and q(x) = f(x)/g(x). Find p'(8)= and q'(5)=

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Q: Given lnln2equals=0.6931 and lnln5equals=​1.6094, find ln left parenthesis 4 e right…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(6t)j + 6t lim t → 0 8ti…

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Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 4…

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Q: 17) Calculate the indefinite integral S-5dx √4-16x² 16) Evaluate the definite integral Š - 0 3…

A: 16).17).

Q: Question content area top Part 1 An initial investment amount​ P, an annual interest rate​ r, and a…

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Q: x+6 x³ (x² +3) (2) S₂ -dx

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Q: h(x) = x3+ 9x − 10 has a root at x = 1. With out graphing h help show that h has no other roots…

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Q: 0 = $₁ ² (f) A function f(x) such that H(x) = f(t)dt has a local maximum at x = 5. Give an example…

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Q: At time t = 0, a particle is located at the point (9,2,1). It travels in a straight line to the…

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Q: if u = <1,-3,1> and v = <2,2,2> then find the projection of u onto v

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Q: Let f(x) = 2x + 5 and g(x) = 3x − 8, determine the domain of h (x) = g(x) = f(x) ○ (-∞, -)U (-7, ∞)…

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Q: Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter…

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Q: What is the average rate of change of x² - 6x - 7 = 0 on the interval between x = 2 and x = 3? What…

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Q: Find the total area between the function f(x) = sinx and the x-axis bounded by X x = 1/2 and: x = 2π

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Find the area of the region described. 2|5 The region in the first quadrant bounded by y=x³ and y=2…

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Q: (a) Show that if n € N, then <¹dr. n+1

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Q: -6 (a) lim_ f(x)= -1117 Consider the graph of y = f(x) above. State the values of each of the…

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Q: x (-1)" (7) ⁹ Σ n=o (7n+1)!

A: For the Ratio Test, we consider the limitL=limn→∞|an+1an|Where an is the nth  term of the series.If…

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Q: 1. Let f(x) = 3x² - 5x and let a = -1. 4 a) Find the derivative of f(a) using the limit definition…

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Q: Given a function and x values for f ‘(x) = 0. Help use the Second Derivative Test to determine…

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Q: find all local maximums and minimums of function f (x) = x3 − 3x2 − 9x + 5

A: f(x)=x3−3x2−9x+5Using the power Ruleddxxn=nxn−1

Q: Calculate r' (t), T(t), and T(2) where r' (t) = {| T(t) = ( T(2) = ( 9 r(t) = (2t², 2t¹).

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Q: A model for advertising response is given by Upper N left parenthesis a right parenthesis equals 12…

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Q: Find the derivative of: 5√x - Type your answer without fractional or negative exponents. Use sqrt(x)…

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Q: Find the smallest possible sum of the squares of two numbers if their product is -9.

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Q: Determine whether the equation is exact. If it is, then solve it. 4 (4x³y + 3) dx + (x-9) dy = 0 For…

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