10. Let f(x) = , then f'(x) = -*-4 and f" (x) = (+4)° 2x3-24x %3D x²+4> 10.1. Find the intervals where f increases and the intervals where it decreases. 10.2. Find the intervals where f is concave up and the intervals where it is concave down. 10.3. Find the x-values for all local maximum points, and the x-values for all local minimum points. 10.4. Find the x-values for all inflection points. 10.5. Find all horizontal asymptotes.

Q: Let f(x)=8x^2−4x^4. Find the open intervals on which f is increasing (decreasing). Then, determine…

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Q: Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]

A: The graph is shown below:

Q: 7 -1,-2.5) 0-5) ,0- S (1-10) 14 -21 (2,20) y-intercept End Behavior: As x oc as x OC

A: Y intercept is the point where x=0

Q: Without graphing, find the exact location of all relative and absolute extrema of given function.…

A: Note:- Since you asked multiple questions but according to our policy we can solve first question…

Q: Estimate the interval(s) in which f(x) is increasing. Graph of f(x) Estimate the interval (s) in…

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Q: 6. #(4,-2) is a point on the graph of y f(x), what point must be on the graph of y (2x)? (2,1)…

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Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

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Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.