Calculus question and answers for November 24, 2023
- Q If 3 sin x+ 3 cosx = 4, then find the number of solutions of theequation in the interval [0, 2x]
- Q Let h(x) = (x ? 81) -Determine the derivative of h.dhdxDetermine the interval(s) on which h is differentiable. Report the solution using interval notation.h is differentiable on
- Q Find the absolute extrema of the function on the interval [2, 10].g(x)=Absolute minimum:XIn(x)at x =Absolute maximum:at x =
- Q Find all values of 8 (in rad) that satisfy the equation over the interval [0, 2?].?32sin(0)smaller valuelarger value0 =0-radrad
- Q For y = 10 sin 2x,its amplitude isits period is
- Q A boat sails 285 miles south andthen 132 miles west.What is the magnitude of theboat's resultant vector?
- Q Find the x-values (if any) at which the function f(x)=discontinuitiesare removable?x-Sx-2x-15is not continuous. Which of the
- Q (3x+12 if x < -2if x>-2if x = -2Let f(x)=?x+382Select all statements below that you agree with.Note: You may be checking more than one box. No partial credit.Of(-2) is defined.Olim...
- Q 14. If eight people eat dinner together, in how many different ways may 3 order chicken, 4 ordersteak, and 1 order lobster?
- Q Suppose that limf(x) = 10 and lim g(x)=14. Find the following limit.lim [f(x)g (x)]
- Q Problem 12. Determine the amplitude and period of the function y = 3 costhe function over its single period using five key points.(x). Then, graph
- Q Problem 15. Solve the triangle ABC, if b = 121, c = 160, LB = 40. Assume LA is opposite toside a, LB is opposite to side b, and ZC...
- Q Find all angles, 0 ?0 < 360, that satisfy the equation below, to the nearest 10thof a degree.tan0+5 tan 0 = 0
- Q Find all angles, 0 ? 0 < 360, that satisfy the equation below, to the nearest 10thof a degree.4 tan 090
- Q What is the middle term of the expansion ofSOLUTIONX3+y
- Q You just deposited $2,000 in a bank account that pays a 4.0% nominal interest rate, compounded quarterly. If you also add another $5,000 to the account oneyear (4 quarters) from...
- Q Granville Co. recently purchased several shares of Kalvaria Electronics' preferred stock. The preferred stock has a before-tax yield of 8.60%. If the company'stax rate is 15%, what is Granville Co.'s...
- Q Problem 3. For the function f(x) = 6x-x-2, evaluate and fully simplify each of thefollowing:a) f(x + h) =b)f(x+h)-f(x)h=
- Q Problem 2. Let f(x) = ln (+9) and g(x) =1X-7your answer in interval notation.Find the domain of (fog)(x). Write
- Q Sketch a graph of the function f(x) =-37/2 -57/4 -7 -3?/4 -?/2 -?/4Clear All Draw: MQuestion Help: Videosin|t 5+4321-1-2--3-4+1.?/4 ?/23?/4T5/4 3/2
- Q 8. [-/3 Points]DETAILS(x, y)WANEFMAC7 15.4.012.Use Lagrange multipliers to solve the given optimization problem.Find the minimum value of f(x, y) = x + y2 subject to xy2 = 16.fminAlso find the...
- Q Find the area of this triangle ifB = 5 radians, a = 9, and c = 7.A.bBa[?] square units-c C
- Q A colony of an animal begins with one pair of mature animals, which will produce a pair of offspring (one male, one female) each month. Assume that all animals mature...
- Q Problem 13. Find all solutions of the equation 2 cos x ? 2 sin x cos x = 0 on the interval-[0, 27). Give the exact values only.
- Q Solve the equation for x: log56 x + log56(x - 1) = 1.
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