Calculus question and answers for November 22, 2023
- Q Please Simplify as instructed.1 + sec(t)/1 + cos(t)Times top and button by 1 - cos(t)Simplify using results from #5 and #6Simplify further using the result from #7Simplify further so the...
- Q R is the region bounded by the functions f(x) = 14 / (-1 + x) and g(x) = 2x 14. Find the area of the region bounded by the functions...
- Q Let f(x) = x+ 3x 1.Calculate the derivativef'(x) =________________Calculate the second derivativef''(x) =________________Note intervals are entered in the format (-00,5)U(7,oo) (these are two infinite intervals).On what interval(s) is f increasing?Increasing:_________________On...
- Q Let f(x) = { (x - 121) /(x - 11) if x ? 11 { a ...
- Q Evaluate each limit:a) lim (x + x - 30) / (x - 6x + 5) x-3b) lim {3 - ?(1-4x)} / (x + 2) x->-2c) lim ...
- Q 1) Use the graph off below to evaluate each limit, if it exists. If it does not exist, explain why.a) lim f (x) x->0(b) lim f(x) x->1+(c) lim...
- Q Convert the angle to degrees, minutes, and seconds.184.9258.
- Q Use the Limit Comparison Test to prove convergence or divergence of the infinite series.?? n=2 n? - 1?? n=2 1(n-1)?? n=2 n/?n+1?? n=2 n/?n?+2n+1
- Q Question 31Convert the angle to decimal degrees and round to the nearest hundredth of a degree.2941'=__________
- Q Let h(x) = { e?+ if x > -1 { ax + 2 if x? -1Determine the value of a...
- Q Determine the intervals on which r is continuous. Enter the solution using interval notation.r(x) =12x/ (400 x^2)^2r is continuous on ______________
- Q A bag has seven balls labeled A, B, C, D, E, F, and G. One ball will be randomly picked, and its letter will be recorded as the outcome. Give...
- Q Determine and classify the discontinuities, if any, of g.g(x) = 4cosx + 5x .State the removable discontinuities, if any, of g. If multiple removable discontinuities exist, enter the solutions using...
- Q Let h(x) = { 5x if x > 5 { -x + a if ? 5Determine...
- Q When a skydiver free-falls from an airplane, her downward velocity in feet per second is given as v(t) = 240(1 0.85'), where t is the number of seconds since the...
- Q Use the Direct Comparison Test to determine whether the infinite series is convergent.?? n=1 12??? n=1 n?+4n+1?? n=1 1/+2??? n=1 1/?n+2n-1?? n=1 4/m!+4??? n=1 ?n-3
- Q Using the graph below, determine the following:(a) lim f(x)(c) lim f(x)(b) lim f(x)(e) lim (x)(d) lim f(x)(f) lim f(x)
- Q In Exercises, determine whether the series converges absolutely, conditionally, or not at all.?? n=1 (-1)??/?? n=1 (-1)?n?+1
- Q Does the table represent a linear or exponential function? Find a formulax 1 ...
- Q If a= 3, a?=0 and an=3an-1 + 3an-2 then find the value of a?.
- Q Use the derivative formula f'(x)= lim h->0 f(x + h) f(x)/h to find the derivative off(x) = ?xFind the derivative ofy = 4x - 3x/sinx
- Q Use the function above to find the following values of f(x). Show all of your work for full credit.f(x) = {5/3 x + 3 for x ? -3, {-x -5...
- Q Consider the function f(c) = 7(x - 5)^(2/3). For this function there are two important intervals:(- ?, A) and (A, ?) where A is a critical number.A is _______________For each...
- Q Suppose sin 2x =-? 2/2Find all solutions 0?x?2? . Give exact values in radians,and type "pi" for ?.x=____________(If there is more than one answer, enter the answers separated bycommas)
- Q The following formula is used by psychologists and educators to predict the reading ease, E, of a passage of words where w is the number of syllables in a 100-wordsection...
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