Calculus question and answers for March 13, 2024
- Q Problem 2 1 point Evaluate the following limit 2x A 3 3 B 3 12 C D 4 lim 0 cos 3x 1 E 1 3
- Q f t dt 8 3 f t dt sf t 3 dt f f t 33d 1381 3 3 4 2 26 f t dt dt 4
- Q Find two positive numbers whose product is 143 and whose sum is a minimum
- Q Find the indicated limit lim x In x3400 x 0 lim x Inx int 3400
- Q Find f x and find the value s of x where the tangent line is horizontal f x x 14x 63 f x X 7 7 2 x 14x 63...
- Q For the function below find A f x B the partition numbers for f C the critical numbers of f 7 X 4 f x A X B Find the...
- Q Determine where the function f x is continuous f x 4 x The function is continuous on the interval Simplify your answer Type your answer in interval notation
- Q An object moves along the y axis marked in feet so that its position at time x in seconds is given by the function f x x 15x 72x a...
- Q Awater sprinkler sends water out in a circular pattern Determine how large an area is watered The radius of watering is 17 ft Use 3 14 for OCEED The area...
- Q Find the profit function if cost and revenue are given by C x 130 2 4x and R x 4x 0 01x The profit function is P x
- Q Find each limit Use oo or oo when appropriate 6x 6 x 6 A lim f x x 6 f x 2 B lim f x x 6 OA im...
- Q If 1000 is invested at 7 5 compounded continuously graph the amount in the account as a function of time for a period of 9 years Choose the correct graph...
- Q Find dy for the function y dy Simplif 650 x
- Q y 2 2 21 Choose the correct graph below OA B 3 5 XXXI do 3 OD
- Q A Calculate the change in Fox from x 8 to x 13 8 Graph F x and use geometric formulas to calculate the area between the graph of F and...
- Q Use geometric formulas to find the unsigned area between the graph of y f x and the x axis over the indicated interval f x x 10 2 11 The...
- Q Give the order of the differential equation below where y represents a function of the variable x x y 2y y 2 Choose the correct answer below 9 OA The...
- Q A function f x is given below Express the relationship between f x and f x in words and write a differential equation that f satisfies x 6 CTXH Express...
- Q Isy 19x a solution of the differential equation dx Explain BOCCOD The function y 19x a solution of the differential equation because when it is substituted into the differential equation...
- Q Assuming that x 0 use differentiation to justify the formula dx In x C if Sdx In x C then The derivative of In x is and the derivative of...
- Q Write the following expression in the form ax bx9 where a and b are real numbers and p and q are rational numbers 8 8 x 3 2 8 8...
- Q 3 12 points In the following problem the function f x defined for x 1 is given by the graph below 1 1 2 1 b 3 points Evaluate 2...
- Q Graph the equation Then describe the transformation from the parent function f x x 1 y xl G Now describe the transformation from the parent function f x xl Choose...
- Q A model for a company s revenue from selling a software package is R p 2 5p 850p where p is the price in dollars of the software What price...
- Q Write an absolute value equation for the graph shown to the right y Simplify your answer 12 10 8
- Q Use the given information to sketch the graph off Domain All real x except x 6 and x 6 9 4 1 0 0 1 9 4 f x 0...
- Q Assume f x is continuous on 0 00 Use the given information to sketch the graph off 2 4 7 4 1 0 1 x 1 x X 1 x...
- Q A dairy is planning to introduce and promote a new line of organic ice cream After test marketing the new line in a large city the marketing research department found...
- Q The function f x is continuous on 00 00 Use the given information to sketch the graph of f 1 0 20 1 10 0 1 20 20 f x...
- Q A candy box is made from a piece of cardboard that measures 13 by 8 inches Squares of equal size will be cut out of each corner The sides will...
- Q Sketch the graph given the following conditions f 3 0 f 9 0 f 2 0 f 3 0 f 9 20 f 2 1 f 3 8 f 9...
- Q Find all the relative extrema and sketch the grap OF F X x3 6x 10
- Q Find f x f x and f x of f x x 3x 2 8x 4
- Q Suppose that the company sports stylz Inc determines that the cost in dollars from the sale of X sunglasses is given by C X 0 05x 50x Find the average...
- Q T X x 10 x 11 ou
- Q 5 Detailed Clothing s total revenue R x and total cost C x in dollars from the sale of x custom sweatshirts are given as follows 6 pts R x...
- Q Sketch the graph of the continuous function f that satisfies all of the stated conditions 9 pts brodo hav 201 f 0 2 f 1 0 2 2 f 0...
- Q Consider the demand function given by D x 240 20x where D x is the quantity of coffee mugs demanded at a price of x dollars per mug 5 pts...
- Q 11 Find the area between the curves y 4x x and y x 6x 8 Draw the graph and shade the appropriate region 7 pts 10 10 8 6 4...
- Q the function f x x 3x 1 a Make a sign diagram for the first derivative b Find any relative maximum or relative minimum points Write the points as an...
- Q D Suppose an experiment finds that the memorization rate is given by M t 0 009t2 0 2t where M t is the rate in words per minute How many...
- Q the following definite and indefinite integrals 14 pts a f x 1 2x 3 dx b 2e 1 dx Tr
- Q 3 Find the derivative of the given functions 24 pts a f x 3x 2x 1 Expur 0000 and iw enixolen bno luthsbnow s In 4x
- Q Given the F X axty find the equation of Point 116 tangent line of F X at the Steps M Slope F X lim f xth f x hs0 Find...
- Q y 3x 5 and y 2x 3 No Solution Help 3 Submission Data 25 22222 24 23 21 20 19 18 17 16 15 14 13 12 3 11 10...
- Q Find the integral by whatever means are necessary either substitution or tables Remember to use absolute values where appropriate Use C for the constant of integration 1 25 x X...
- Q use geometry Sax d dx a 10 b S 4x 1 dx to evaluate the definite integral
- Q The question asks us to sketch the function y cos 3t First note that the function is a cosine function and will have that basic shape From the text the...
- Q A patient receives an injection of 9 5 milligrams of a drug and the amount remaining in the bloodstream A t 9 5e 0 04t Find the instantaneous rate of...
- Q Tutorial Exercise Sketch the graph of the function showing the amplitude and period of the function below y cos 3t Step 1 The question asks us to sketch the function...
- Q In a psychology experiment rats were placed in a T maze and the proportion of rats who required more than t seconds to reach the end was as shown below...
- Q The number of traffic accidents per year in a city of Population is predicted to be A 0 002 p312 If the population is growing by 500 people per year...
- Q Find where the function is concave up or down include a sign chart and find inflection Points F x x 20 x
- Q suppose that the daily cost in dollars of producing X radius radius at a current production level of 40 racios is C X 0 002x 0 1X 42x 300 C...
- Q A medical examiner called to the scene of a murder will usually take the temperature of the body A corpse cools at a rate proportional to the difference between its...
- Q Suppose that you meet 20 new people each year but each year you forget 20 of all of the people that you know If y t is the total number...
- Q Find the absolute minimum and absolute maximum of f x x 4x 5 on the interval 1 5
- Q A drug taken orally is absorbed into the bloodstream at the rate of te 0 5t milligrams per hour where it is the number of hours since the drug was...
- Q Find all the relative extrema and sketch the graph OF F X x 6x 10 3 2
- Q A boat sailing due West toward a point y 150 feet directly North of you makes an angle of 48 as shown in the diagram y 48 Find the distance...
- Q Sketch the graph of the function showing the amplitude and period y 5 cos 2t y 5 0 34 T O st t 2T y s DO 5 y M...
- Q Find the integral Hint Separate the integral into two integrals using the fact that the numerator is a sum or difference and find the two integrals by two different formulas...
- Q Find the integral by whatever means are necessary either substitution or tables Remember to use absolute values where appropriate Use C for the constant of integration 1 25 X dx...
- Q Sketch the parabola and line on the same graph y 3x 5 and y 2x 3 O V No Solution Help 3 2 25 24 23 22 21 20 19...
- Q Solve the differential equation and initial condition and verify that your answer satisfies both the differential equation and the initial condition y v y 6x5 Ly 0 1
- Q A factory is discharging pollution into a lake at the rate of r t tons per year given below where t is the number of years that the factory has...
- Q Use integration by parts to find the integral Hint Take u x dv xex and use a substitution to find v from dv Use C for th constant of integration...
- Q Find the area between the curve y x 2 and the line y 2x 3 shown below from x 0 to x 3 y 11 9 7 5 53 3...
- Q Find the general solution of the differential equation or state that the differential equation is not separable Enter NOT SEPARABLE if the equation is not separable y y 8x
- Q Find the indefinite integral Use C for the constant of integration Remember to use absolute values where appropriate e av x dx X
- Q Find the indefinite integral Use C for the constant of integration Remember to use absolute values where appropriate 45x 45x2 3x1 30e x dx
- Q Find the derivative of the function f x f x 4x 6x In x 1
- Q December 15 2023 1 Integrate the following expressions a S 5x x 12 dx b S 5x 4x dx odnalgus oils gaivlover vd basera x 2x 2 A ball is...
- Q F x x 3x 2x 8x 4 X4 3 Find first second third derivative
- Q F X 3 X4 X Find second derivative
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