Calculus question and answers for November 23, 2023
- Q Write your answers in scientific notation. Each day we purchase 67,000,000 ice cream cones. How many ice cream cones are purchased in one year? If there are256 million people in...
- Q A farmer buys a new tractor for $158,000 and assumes that it will have a trade-in value of $84,000 after 10 years. The farmer uses a constant rate of depreciation...
- Q How many years will it take $5,000 to grow to $9,800 if it is invested at 2.50% compounded continuously?
- Q A popular movie debuted in 4530 theaters and earned an average of $12,801 per cinema the weekend of the debut. Find the amount that the movie earned in its firstweekend....
- Q Problem 7.a) Describe the transformation(s) that can be applied to the function g(x) = e* to obtain thegraph of f(x) = e* + 7.b) State the domain and range of...
- Q Mantle Corporation is considering two equally risky investments:A $5,000 investment in preferred stock that yields 6.75%.A $5,000 investment in a corporate bond that yields 10.00%..What is the breakeven corporate tax...
- Q This question asks for a number answer. Acceptable answers include whole numbers, integers (negativenumbers), and decimal values. (These questions will normally require you to do calculations by hand orwith a...
- Q Using the Law of Sines to solve for all possible triangles if ZB = 50, a = 109, b = 46.If no answer exists, enter DNE for all answers.ZA isdegreesLC...
- Q Given the triangle below, find the angle A and length of side xNote: picture is NOT drawn to scale, but you can assume an angle that appears acute is acute...
- Q Let sine2?3 and <<T52Part A: Determine the exact value of cos 20.
- Q Evaluate the polynomial2P(b) = 4b - 11b + 10;function for the given values of the variable.find P(4) and P(0).
- Q If the statement is always true, explain why. If not, give a counterexample.If f is a function such that lim f(x) exists, then f(0) exists.X-0Choose the correct answer below.O A....
- Q Let e1112Part A: Determine tan 8 using the sum formula. Show all necessary work in the calculation. (5 points)
- Q Let g(x) = ? x - x-7. Find and simplify gy (17)2The value of the function is(Type an integer or a fraction.)
- Q Let g(x)=2x-1. Find g(1.5).g(1.5)= (Type an integer or a decimal.)
- Q Using the Law of Sines to solve the triangle if ZA = 37, 4C = 69, b = 12:LB isdegrees;a=;C=;Round to two decimal places if needed.Assume LA is opposite side...
- Q Let f(x) =(4x - 4if x < 63x + b if x > 6BALIf f(x) is a function which is continuous everywhere, then we must haveb=wwwww
- Q Find the minimum of 3X+Y(3X-1+3Y-1-1)There is a hint given by teacher that ismultiplying by 3 and add 1.
- Q 4. Extra Credit. (10 Points.) Consider the problem of solving for functions u(x, y), defined on x + y ? 1,such that(i) Au = 0, and(ii) u = 0 at...
- Q Find the values of a and b such that thefollowing function4a cos(x + 3)- b. 2x+5, if x < -3,f(x) = -4,if x = -3,ax + bx - 7,is continuous...
- Q Consider the angle depicted in standard position below.P(-7,9)Use the figure above to determine the following. Give exact values.(x,y) : (y(a) cos(0) =(b) The coordinates of the terminal side of 0+(c)...
- Q In Exercises 87-92, find the difference quotient and simplitySSlonyour answer.88. g(x) = 3x - 1,Cc#0-g(x + h) = g(x)himh #02009072
- Q Date:PeriodCalculus ABUse the rectangles in the following graph to approximate the area of the region bounded by4y=y=0, x= 1, and x = 4Round your final answer the nearest thousandth,square units
- Q Determine the tax free Roc, capital Gain,Dividend, End basis, Endbasis shareholder basis= 130,000 AAA= 450,000E&P= 350,000 Distribution=300,000
- Q Solve the system of linear equations:y = 3x - 4y = -2x + 1
- Q Find the limit. (If an answer does not exist, enter DNE.)x - 7x + 10x-1X-1
- Q Write the augmented matrix of the given system of equations.x - 4y = 96x + 7y = 4The augmented matrix is
- Q y = xe-2x, 0?x? In(3)On this interval, the maximum value(s) occur at x =In(3)two of these are correct012
- Q Prove that lim (5x-3)= 7, using the e-8 definition.
- Q Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results shown to theright.a) What is the probability that both coins show heads?b) What is the...
- Q Find the value of the constant c so that the function below is a probability density function for a random variable over the specified interval.1f(x) = = x over [2,c]
- Q 52. Find m/ADC in Figure 20. Round to the nearest tenth.B860910CDM
- Q What are the cylindrical coordinates of the point whose spherical coordinates are(p, 0, d) (3, 2,)?(r,0,2)=(
- Q A spinner marked off in 5 equal-size regions, numbered 1 through 5, is spun twice. Let event E be that the outcome of both spins is 4 and event F...
- Q Find the limit: Factor and simplify before substituting x by the value c:2x-5x+2lim2x-1
- Q Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)lim x cosX-0
- Q Use transformations to graph the function f(x) = -2+4*-2. Determine its domain, range, and horizontalasymptote.Which transformations must be applied to obtain the graph of f(x) = -2+4*-2? Select all that...
- Q A graphing calculator is recommended.Use the Squeeze Theorem to show that lim x cos(9x) = 0.x10Illustrate by graphing the functions f(x) = -x, g(x) = x cos(9x), and h(x) =...
- Q A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, is spun twice. Let the random variable X be the nonnegative difference between thenumbers of the...
- Q 1->(x+6).Consider the functions f(x) = 7x-6 and g(x)=(a) Find f(g(x)).(b) Find g(f(x)).(c) Determine whether the functions f and g are inverses of each other.(a) What is f(g(x))?f(g(x)) =(Simplify your answer.)Give...
- Q Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)4-5limt-2 21-3t+8
- Q Express the following set in set-builder notation.(8, 10, 12, 14, 16, 18, 20)Select the correct answer below and fill in the answer boxes within your choice.OA. {x|x is an even...
- Q #64 An airplane flies 220 miles with a heading of 40, and then flies 180 miles with a heading of 170. Howfar is the plane from its starting point? Round...
- Q 1Consider the functions f(x) = 7x ? 6 and g(x) = (x + 6).(a) Find f(g(x)).(b) Find g(f(x)).(c) Determine whether the functions f and g are inverses of each other.(a)...
- Q An article contains 1297 words. The frequencies of words with various lengths are given in the table. A word in the article is randomly chosen. Using the information in the...
- Q 11. Find the limits algebraically:limsin tt-0 St
- Q In September (30 days), the temperature in a particular city reached 100F on 24 days. Also, measureable rain fell at the city's airport on 5 days, and on 2 days,both...
- Q A test has many multiple-choice items, each with four answer choices. A student receives 1 point for every correct answer, and each incorrect answer brings a penalty1(loss) ofof a point....
- Q Express the following set using set-builder notation.{March, May}Choose the correct answer below.A. {x|x is a month in the first quarter of the year}B. {x|x is a month of the year}C....
- Q The function f(x) = 6x is one-to-one.(a) Find the inverse of f and check the answer.(b) Find the domain and the range of f and f(c) Graph f, f1, and...
- Q 5. Evaluate the limits and justify each step:limh-0 hwwwMesse
- Q Julia invests a sum of money in aretirement account with a fixed annualinterest rate of 6% compoundedcontinuously. After 17 years, the balancereaches $14,262.54. What was the amountof the initial investment?
- Q For the following exercises, determine whether thegraphs of the polar equation are symmetric withrespect to the x -axis, the y -axis, or the origin.r = 6 cos(20)2x-axisy-axisorigin
- Q A random inspection of 100 vehicles showed that 67 had tires with low pressure and 35 had tires with a bald tread. Furthermore, 20 had tires with both low pressureand...
- Q Find dy/dx by implicit differentiation.7-7y = 16dy/dx =X
- Q Consider the functionA. The function f(x) has vertical asympototes at x=B. f(x) is concave up on the regionC. The inflection point for this function isthe direction of concavity also changes...
- Q For a week, a clothing company tracks the amounts spent by its customers, with the results shown to the right.a) What is the probability that a randomly chosen customer spent...
- Q A spinner marked off in eight equal-sized regions, numbered 1, 2, 3, 4, 5, 6, 7, and 8, is spun once. Let the random variable X be the number of...
- Q Part 1 of 4A box with a square base and open top must have a volume of 415292 cm. We wish to find the dimensionsof the box that minimize the...
- Q A survey of 100 people showed that 26 own a car, 62 own a bicycle, and 12 own both a car and a bicycle. How many people own a car...
- Q Use roster form to write the elements of the following set, or state that the set has no elements.The seasonsChoose the correct answer below.OA. (Spring, Summer}B. (Fall, Winter}C. (Spring, Summer,...
- Q Use continuity to evaluate the limit.lim xv 13-xX-3
- Q 7. Evaluate the limits and justify each step: lim?x-12x-144 x-144
- Q The coefficient of xkyk in the expansion of (x + y)" equalsOA. TrueB. Falsekn
- Q Suppose the heights of the members of a population follow a normaldistribution. If the mean height of the population is 68 inches and thestandard deviation is 4 inches, 99.7% of...
- Q If fis continuous on (-00, 00), what can you say about its graph? (Select all that apply.)The graph of f has a hole.The graph of f has a jump.The graph...
- Q The grap the relation S is shown below.-3Give the domain and range of S.Write your answers using set notation.domain =range =0020
- Q Use the graph to determine the behavior of the function between the indicated points.ABCDEPointsA and BB and CC and DD and EBehavior of thefunctionincreasingconstantdecreasingO increasingconstantdecreasingincreasingconstantdecreasingincreasingconstantO decreasing
- Q 5. The FDIC insures deposits up to this maximum amount allowed by law$250,000,000O $250,000$2,500
- Q -. Which of the following might be a source of income (check all that apply):paycheck from a jobgift fundsmonthly allowance
- Q Which of the following has the best price per unit?Brand C $7.00 for 7Brand B $6.00 for 3Brand A $5.00 for 2Brand C $8.00 for 3
- Q 2. The FDIC stands for: (4 pts.)O Federal Deposit Insurance CorporationFinancial Deposit Information CompanyFundamental Deposit Insurance CorporationFiscal Delivery Insurance Company
- Q Find a correct to 2 decimal places.NOTE: The triangle is NOT drawn to scale.1045540
- Q 2. You are starting a new full-time job. Which tax form will you need to fill out for your employer? (2 pts.)OW-9IRS Form 1040OW-4
- Q Banks are private and credit unions are nonprofit organizations owned by the people.TrueFalse
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