1 Using intervals, describe the concavity of f(x) = x + = x Determine absolute max over interval [1,3].
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A: I have given the answer in the next step. Hope you understand that
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- What is the purpose of the Intermediate Value Theorem?determine the functions p(x) and g(x) are continuous. determine the interval where it is certain to have existence and uniqueness of solution for IVP given( a) The differences between the Z- interval and T- interval. (b) What determines when to use Z interval and T interval
- (A) find the critical numbers of f, if any (B) find the open intervals on which the function is increasing or decreasing (C) apply the First Derivative Test to identify all relative extrema1. Find intervals where f(x) increasing and decreasing. 2. Find x values of all local extremaIdentify the intervals where ƒ(x)=(1/4)·x4+(1/3)·x3−8·x2−16·x is increasing and where decreasing on the interval [−4,4]. Then determine the relative extrema of ƒ(x). Lastly, determine the absolute extrema of ƒ(x).
- Find the intervals of concavity and the inflection points of y = exsin x, −π ≤ x ≤ πConside the function f(x) = cubed root of x Does f(x) satisfy the hypothesis of mean value theorem on the interval [0,8]? Explain.f(x)=(x+6)/x^2 find critical numbers? find open intervals on which the function is increasing or decreasing in interval notation? apply the first derivative test to indentify all relative extrema?
- Using the definition of monotonicity prove that the function f(x)=cosx is strictly decreasing on the interval [0,π].Second load of wash In Exercise 4, we saw a 98% confi-dence interval of (-40, -22) minutes for mTop - mFront , the difference in time it takes top-loading and front-loading washers to do a load of clothes. Explain why you think each of the following statements is true or false:a) 98% of top loaders are 22 to 40 minutes faster thanfront loaders.b) If I choose the laundromat’s top loader, there’s a 98%chance that my clothes will be done faster than if I hadchosen the front loader.c) If I tried more samples of both kinds of washingmachines, in about 98% of these samples I’d expectthe top loaders to be an average of 22 to 40 minutesfaster.d) If I tried more samples, I’d expect about 98% of the resulting confidence intervals to include the true dif-ference in mean cycle time for the two types of wash-ing machines. e) I’m 98% confident that top loaders wash clothes anaverage of 22 to 40 minutes faster than front-loaders.The average weight for a sample of Jersey cattle is 900 lbs. The average weight of a sample of Guernsey cattle is 950 lbs. The margin of error is 28 lbs a.) What is the upper bound of the interval for the Jersey cattle average weight? b.) What is the lower bound for the interval for the Guernsey cattle average weight? c.) Do the intervals overlap on the x axis?