Calculus question and answers for November 26, 2023
- Q A population of bees are dying at the rate proportional to the size of the initial hive, H(t), where t is measured in days. If the hive has 500 bees...
- Q Analyze the polynomial function f(x) = 5x (x ? 9) (x + 4) using parts (a) through (e).(a) Determine the end behavior of the graph of the function.The graph of...
- Q Find a polynomial f (x) of degree 4 that has the following zeros.5, 0, 7, -2Leave your answer in factored form.
- Q Divide.(8x + 2x +14x+24) (4x+5)Your answer should give the quotient and the remainder.Quotient:Remainder:09X5?
- Q www0 a solution with a saltA very large tank initially contains 100L of pure water. Starting at time tconcentration of 0.8kg/L is added at a rate of 5L/min. The solution...
- Q How many significant figures are in the measurement 16.400 g? 16.400 has
- Q Calculate the volume of thecube and report the answerto the correct number ofsignificant figures.2.20 cm x 2.215 cm x 2.2 cm
- Q Graph the parabola.2y=x +6x+4Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click...
- Q A lighthouse is located 160 feet from the nearest point P on a straight shoreline. The revolving beacon in the lighthouse makes one revolution every 10 seconds. Find the rate...
- Q Determine the infinite limit.lim 10-x/ (x-9)x?9 ?-?
- Q Sketch a graph of f(x)Solution:-3X - 2x - 3x2x + 3x + 2Before answering this question, we need to factorf(x). Factor f(x) completely and submit youranswer below.
- Q For the function f, how would you remove the discontinuity? In other words, how would you define /(2) In order for fto be continuous at 27(2)=1f(x) =
- Q Let g(y) = arccos (?6y)Determine the derivative of g.g'(y)Determine the interval(s) on which g is differentiable. Report the solution using interval notation.=g is differentiable on
- Q c(e-7t)Determine the derivative of h.Let h(t) = arcsech'(t) =
- Q Find x where 0?x? 2.4?2 tan x-??2 = 3?2 tan >x?[?]'+T
- Q Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The positive root of 6 sin x = x X =____
- Q Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines att= 0 and t = for the graph below. Evaluate A(z) for x =...
- Q Find lim h(x), if it exists.X??f(x) = 4x + 2x + 6(a)h(x) =lim h(x) =X??(b) h(x) =lim h(x) =X-8(c) h(x) ==lim h(x) =X-8f(x)Xf(x)xf(x)+3
- Q Find x if ? ? x ? 2?2cscx cos5x = ?2cotx cosxX=[?] | JTC24
- Q Find the limit, if it exists.limX-80X+8(x + 5)/3
- Q Find x where 0 ? x ? /1.5?3 sin x = 3 + 3??/3 sin x777
- Q Step 4Step 2To determine the critical numbers of g(x), set g'(x) equal to zero and solve for x.g'(x) = 0g(x).g(x) = x - 6x - 2802(x-33) = 0g'(0) =9(x)=2x-6g'(0) =...
- Q Does the relation represent y as a function of a?2y +87y-3No, because some values of a correspond to more than one value of yNo, because the relation does not define...
- Q Find each limit if it exists.5x3/2(a)(b)(c)lim.x-* 8xlimX?+55x3/28x3/2 + 55x3/2limx 8?x+5??1111
- Q Does the relation represent y as a function of x?x=??16-y6No, because there are values of a that correspond to more than one value of yYes, because the relation is described...
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