Calculus question and answers for November 10, 2023
- Q Convert the point with Cartesian coordinates 4 4 3 to polar coordinates Enter exact values for r and 0 with r 0 and 0 0 2 in radians r 0...
- Q Find the present value of a continuous income stream of 40 000 per year for 35 years if money can earn a 0 8 annual interest compounded continuously b 2...
- Q 14 Let f x y z e y z xyz and g t f at 1 bt 2 ct Suppose there is 0 such that g is decreasing on 0...
- Q In Exercises 39 42 compute the Taylor polynomial indicated and use the Error Bound to find the maximum possible size of the error Verify your result with a calculator 39...
- Q 19 Show that the nth Maclaurin polynomial for f x e is X X Tn 2 1 1 2 xn nl
- Q b 6 4 4 2 2 4 6 2 4 6 X Yes the vertical line test shows that the graph represents y as a function of x Yes the...
- Q Functions Course Packet on cost revenue and profit functions A manufacturer of soccer balls has a monthly fixed cost of 100 and a processing cost of 5 for each soccer...
- Q Unctions domain and range Determine the domain of each of the following functions Enter your answer using interval notation a Domain of 8x 5 b Domain of 8x 5 c...
- Q which statement accurately descr 1 x 1 1 8 x 1 asymptotes of the functions below A The horizontal asymptote for f x is y 0 The horizontal asymptote for...
- Q 6 If h r is a differentiable function with h 1 2 and h 1 3 evaluate f 1 given that T h T 1 ln x f x
- Q Roller Coaster Speed mph Height feet Length feet word Batman the Escape 55 90 2300 a Convert the data set into a matrix b What are the dimensions of the...
- Q B B C D If the distance from D to D is 10 and the distance from A to D is 2 what is the scale factor 1 5 1...
- Q is trying to solve the following If 24 people have the flu out of 360 people how many would have the flu out of 900 Choose EVERY proportion that David...
- Q Use the general solution y of the differential equation to find a particular solution that satisfies the indicated initial condition Graph the particular solutions for x 0 y 6 Cex...
- Q Questi Darlena has started taking photos at amateur dog racing events later offering the photos for sale to the dog owners by email The prices she has charged per photo...
- Q After you graduate you get a job as a medical account manager making 63 000 per year Being the wise planner you are you want to begin to save for...
- Q Find a b a 1 1 b 3 5 2 O 4 5 1 5 5 3 5 2 1 5
- Q Find the trigonometric function value for the angle shown sin e 10 3 2 4 O sin 8 sin 8 sin 8 sin 8 10 5 5 10 HHHHHH 34...
- Q Determine two pairs of polar coordinates for the point with 0 0 360 5 5 O 5 2 315 5 2 135 O 5 2 225 5 2 45 O...
- Q d the sum of the following series 9 27 243 the toolbar press ALT F10 PC or ALT FN F1C
- Q Use Matrices A B C and D to answer questions 10 15 when possible When not possible explain using mathematical language 1 228 10 What is C22 11 D 12...
- Q Do we want them to do equations like these Solve each equation 1 X 6 6 2 4 9 9 COMMON CORE MATHEMATICS CURRICULUM 9 3 7 0 3 10...
- Q COMMON CORE MATHEMATICS CURRICULUM Do we want them to do equations like these Solve each equation 1 X 6 6 2 4 9 9 3 0 3 Y 8 10...
- Q This problem has two parts Part 1 The line y 3x 1 blue dashed 3 2 intersects the curve y x x solid when x 1 What is the value...
- Q Let f w f w 5w W3 Determine the derivative of f 4w 3 Hint Determine the interval s on which f is differentiable Report the solution using interval notation...
- Q Consider the function f x x 4x 4x 1 Find the critical point of f x 2 Find the global maximum 3 Find the global minimum
- Q 5 a Convert the expression below into an expression involving log r log y and log z i e write as a sum and or difference of logarithms Simplify
- Q Question 36 The limit below represents f c for some function f and real number c 23 2x 3 x 1 lim 2 1 Determine the function f f x...
- Q h x Which of the following is a correct antiderivative Select ALL that apply NOTE in this kind of problem multiple answers or select ALL the grading feels strict You...
- Q Write the equation of the conic section shown below y 10 9 8 7 6 5 4 V 3 2 1 1 10 9 8 7 6 165 4 3...
- Q 2 Explain why the derivative of g x rule Find the correct g x x 1 dt is NOT g x cos x using FTC1 and the chair di 1...
- Q 3 A Future Farmers of America club wants to fence a rectangular area using only the 600 feet of fencing that they already own They build the fence so that...
- Q p and q are complex numbers such that p 00 9 2 4 5 00 On what interval must O O 9 10 20 fall on 2 10 0 2V...
- Q Use the power series 8 8 1 x 1 x 1 n 0 to determine a power series for the function centered at 0 18 d 9 21 x 1...
- Q 6 Find the derivatives of the following functions a 1 x e ln x b g x sin 10r c h x 3 tan x sin x 5
- Q Criteria for success Expression of the function is simplest form Expression is used to calculate the average et d t 50t feet continue to be the distance function with espect...
- Q equation x y 3xy a Find dy dx using implicit differentiation b Determine whether the tangent line at the point x y 3 2 3 2 is horizontal CIRCLE ONE...
- Q A parabola is shown with the focus open circle and a point on the parabola closed circle marked 10 9 8 7 6 5 4 321 The focus F is...
- Q Sketch the graph of 7 6 5 4 3 2 1 2 the cursor until the graph is correct 7 6 S 4 43 2 1 Graph by selecting a...
- Q A parabola has focus 6 5 and directrix y 2 Find its x and y intercepts If these do not exist enter DNE The x intercept s are intercept separate...
- Q 9 9 Gravel is being dumped at a rate of 30 ft3 min It forms a conical pile whose base diameter and height are always equal so 2r h where...
- Q Problems 1 Say that the height s of a ball thrown into the air is given by s t 16t 20t 10 a Sketch a graph of s t on...
- Q 3 A farmer wants to fence a rectangular area as inexpensively as possible She builds the fence so that a warehouse makes up one side of the area so that...
- Q The equilibrium solutions of the differential equation P are always horizontal lines O False O True
- Q Short Answer 1 Let f x be a function State the definition of the derivative of the function at a point o
- Q 3 Draw a graph Showing with the following information 1 Curver should be Concave up 1 be intercepts be 2 and 9 11 y intercepts 4 Should be 1 choose...
- Q 2 Use the graph below to find the average rate of change AROC Temperature F 1600 1200 800 400 0 1 5 900 2 5 1300 1 700 5 1640...
- Q Use Taylor s Theorem to obtain an upper bound for the error of the approximation Then calculate the value of the error Round your answers to three significant figures 0...
- Q 27 30 Circular Motion The position of an object in circular motion is modeled by the given parametric equations Describe the path of the object by stating the radius of...
- Q if I 1 2 1 if 1 f x Graph the function Note Be sure to include closed or open dots but only at breaks in the grap Arrows are...
- Q Consider the matrix A A Write the general solution of the system x t Ax e in matrix form x t X t e Enter each matrix in the form...
- Q Problem 1 The density p x in cars per mile was recorded in the table below at various points along an eight mile road between a major city and a...
- Q Write the following system of equations as a single matrix equation 5z 8x 0 3y 10 7z 4x 3y 4 0
- Q Find the inverse of the following matrix if possible Reduce all fractions to lowest terms B1 Answer A Selecting an option will display any text boxes needed to complete your...
- Q The government has decided on a tax rebate program to stimulate the economy Suppose that you receive 1400 and you spend 90 of this and each person who receives what...
- Q 4 A B 3 LO X 1 2 65 2 Determine the dimensions of AB
- Q A 1 2 4 A B 8 0 1 2 5 3 B 7 3 2 1 0 8 0 3 5
- Q Find polar coordinates of the point that has rectangular coordinates 3 2 Write your answer using degrees and round your coordinates to the nearest hundredth
- Q 7 Convert the angle 6 radians to degrees rounding to the nearest 10th
- Q Fill in the blank to make a true statement sec x 1 help formulas
- Q Find dy dx by implicit differentiation x 5y 7 454 10y x2 7 10y
- Q Find the derivative of the function y In 8x x O8x 2 8x2 x O 24x 2 8x2 O 24x 2 8x3 x
- Q Find the relative extrema of the function if they exist f x 2x 12x 17 O Relative maximum at 3 1 Relative minimum at 3 1 Relative minimum at 1...
- Q Solve the exponential equation for t Round your answer to three decimal places if necessary e t 0 05 0 136 0 018 2 996 2 996
- Q Calculate the Inverse of the following Matrix with Gauss Jordan method 1 0 5 0 51 3 3 A 4 3
- Q Your business requests a 3 month loan for 450 000 What will be the interest paid at the end of the term if the business risk percentage is assessed at...
- Q Express 2 1 x3xZ in the form x What is the value of s
- Q 7000 1 999e Step 2 of 2 How many people have caught the flu after 4 weeks Round to the nearest person The function models the number of people in...
- Q Jerod hopes to earn 1200 in interest in 4 4 years time from 48 000 that he has available to invest To decide if it s feasible to do this...
- Q uppose the internal temperature of a building is modeled by y 5 sin x 10 75 where s the number of hours since midnight At two times during the day...
- Q Darin is saving up money for a down payment on a car He currently has 5450 but knows he can get a loan at a lower interest rate if he...
- Q How do you graph the polar curve r 6 sin 0 Drag an equation variable or phrase into each box to correctly complete the statements Consider the graph of L...
- Q 5 find a Cartesian equation for r 6 c0s 0 Graph it X Y COSA x 60050 050 y Goosa vey Colo X 6cos 0 4 6030
- Q 4 15 cos x y if sin x 54 5 COS X sin y and cos y 11
- Q Find the partial derivatives of the function fx x y f x y f x y 7x 9y 2x 6y
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