Calculus question and answers for September 24, 2023
- Q Evaluate by interpreting in terms of areas 3 3 6 2x dx
- Q find the two numbers whose product is 64 and whose sum is minimum
- Q In Problems 15 18 evaluate fe 2x y dx xy dy on the given curve from 1 2 to 2 5 15 y x 3 16 y x 1
- Q credit 1 A truck is driven at a variable rate for 3 hours so that its velocity at any time t 0 t 3 is given by v t 34...
- Q Use the graph of the given function f to determine lim f x at the indicated value of a if it exists If an answer does not exist enter DNE...
- Q A trail mix contains a mixture of nuts pecans walnuts hazelnuts and peanuts If the probability of reaching into the trail mix and getting pecans is 0 11 what is...
- Q 2 Estimate the area of the region above the x axis and under the graph of the function from x 0 to x 5 4 3 2 1 0 0...
- Q Part 1 of 8 The center of the ellipse is Correct Answer The center of the ellipse is 0 0 Part 2 of 8 a 8 b 6 Part 2...
- Q 2 10 points Evaluate the integral a 5 points L b Spoints 4 x 1 dx
- Q 9 10 points Two cars start moving from the same point One travels south at 48 mi h and the other travels west at 20 mi h At what rate...
- Q 9 Determine whether the series which is the sum from n 1 to infinity of the terms An 1 2n 1 converges or diverges
- Q Use Stokes Theorem to calculate the circulation of the field F around the curve C in the indicated direction F 5yi 2xj 4z k C the portion of the plane...
- Q Find the value of the following function ata 4 and 5 Does the Intermediate Value Theorem guarantee that the function has a real zero between these two vales 700 31...
- Q Find the value of the following function at x 4 and x 5 Does the Intermediate Value Theorem guarantee that the function has a real zero between these two x...
- Q Sonia s horticulture club is exhibiting at the city garden show Each garden must be bordered by 60 0 m of wood against a brick display wall What dimensions will...
- Q A rectangle with sides parallel to the coordinate axes is inscribed in the region bounded by the graphs of y 36 x and y 2x 9 What is the maximum...
- Q Determine if the ordered pair is a solution to the system of equations 10x 6y 12 6x 3y 27 a 3 3 55
- Q Suppose that P dollars in principal is invested in an account earning 4 3 interest compounded continuously At the end of 4 yr the amount in the account has earned...
- Q 10x 6y 12 6x 3y 27 a 3 3 b Part 0 2 Part 1 of 2 The ordered pair 3 3 Choose one Part 1 2 Part 2 of...
- Q 3 Two ships are sailing from Halifax The Nina is sailing due east and the Pinta is sailing 43 south of east After an hour the Nina has traveled 115km...
- Q dz Find dy dz II if z 7x 5y BISORD
- Q 10 Answer 5 Step 1 of 2 Use the graph to determine the locations and type of the local extrema Write DNE for all extrema that do not exist Separate...
- Q Apply the power property of logarithms Assume that all variable expressions represent positive real numbers log 8t 1 3 log 8t 1 log
- Q Apply the power property of logarithms Assume that the variable expressions represent positive real numbers In 2 In 2 DinO
- Q What is the average rate of change of f x from x 10 to x 8 Please write your answer as an integer or simplified fraction f x 6x 3
- Q The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm If the area of printed material on the poster is...
- Q A motion is defined by the following parametric equations x sin t y 2cos t 1 a Show that the particle passes through the point 2 2 F b Find...
- Q stion 1 of 15 Step 1 of 1 Answer V 10 10 Correct Selecting an option will display any text boxes needed to complete your answer Increasing on one interval...
- Q Given the complex number z 3 cos i sin and 8T 8T 22 3 cos i sin express the result of 2 22 in rectangular form with fully 9 21...
- Q Find all the values of x for which the following geometric power series converges b Find the rational expression to which this series converges x 3 32n n 1
- Q Solve the word problem below 85 24 An ice cream cone that was accidently dropped from the top of a building can be represented by the function y t 41...
- Q 21 11 2 35 then 2x 7 Estimate your answer to 1 decimal place 169 31 22 13 13 7 of the sequence 23 831 31 and are the first...
- Q Mark s morning class scored an average of 89 25 points across 4 tests His evening class scored an average of 94 50 points across 4 tests What was the...
- Q An ice cream cone that was accidently dropped from the top of a building can be represented by the function 31 4 2r where is time in seconds and jt...
- Q Evaluate the integral xyz dS where S is that part of the plane z 8 y that lies in the cylinder x y 16 using S the method of your...
- Q Find the divergence of the following vector field F 8x 5y 8z The divergence of F is
- Q Find the divergence of the following vector field F 4x 4y 9y 92 52 5x The divergence of F is
- Q Suppose that 2 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 50 cm a How much work is...
- Q Use this picture for questions 4 6 Find the limit or put DNE if it doesn t exist lim f x Find the limit or put DNE if it doesn...
- Q Use the four rectangles shown to approximate the area of the region below the graph of f x 18x x over the interval 8 16 The area is Round your...
- Q Estimate the area of the region above the x axis and under the graph of the function from x 0 to x 4 14 12 10 2 04 N 6...
- Q 10 5 population in 2010 2015 and 2020 2 World Population The following table shows U S Census Bureau estimates for key world population benchmarks A geometric sequence is the...
- Q What is 2sin a cos a cos 2 a sin 2 a equal to
- Q Show that the equation that information sin x X x 0 has a solution Provide all the necessary justifications for your solution If you use
- Q The total number of inches of rain during a storm in a certain geographic area can be modeled by 2t Use the graph to approximate the number of inches of...
- Q Let f and g be the functions described by the following graphs Graph of f YA x a Fill in the blanks using interval notation The domain of fis The...
- Q a Graph the function y 3e Be sure to identify any asymptotes or intercepts Graph the function y log x 3 Be sure to identify any asymptotes or intercepts
- Q 3 The functions f and g are defined as f x and g x x 7 X f a Find the domain of f g f g f g fg...
- Q Write a rational function that has the vertical asymptote x 1 and the horizontal asymptote y 2 For the toolbar press ALT F10 PC or ALT FN F10 Mac
- Q Given the matrices A and B shown below find A B 3 5 3 B Rows 2 Columns 2 18 12 24 16 4 4
- Q Find the component form of the indicated vector Let u 3 1 V 6 6 Find 9u 2v 27 14 15 21 18 24 392
- Q 1 point Problem 8 A culture of yeast grows at a rate proportional to its size If the initial population is 8000 cells and it doubles after 4 hours answer...
- Q Given the matrices A and B shown below find B A A Rows 20 1 6 2 0 5 B Columns 204 24 3 6 18 12 9
- Q Evaluate the indefinite integral 1 7a 11 4 da 2 a 1 2 9 3 sin 0 cos de 99 V 7x 11 ac dx du dy 54 55 1...
- Q Find the component form of the vector v 4 70 1 71 O 4 70 1 82 O 0 94 0 34 O 1 71 4 70 Y 5 20
- Q Find the component form of the vector v 11 O 7 07 8 43 O 0 77 0 64 O 7 78 7 78 O 8 43 7 07 Y...
- Q 6 Find the area of one loop of 1 cos 80 1 5 1 5 1 0 0 5 0 5 A 1 0 1 5 05 1 5
- Q Find the component form of the vector v 220 41 O 26 35 31 41 O 31 41 26 35 O 0 77 0 64 O 0 64 0 77
- Q Calculate the left Riemann sum for the given function over the given interval using the given value of n When rounding round your answer to four decimal places If using...
- Q Given the matrices A and B shown below find A B A 0 2 0 5 3 1 3 2 Rows 2 Columns 2 B 28 4 20 0 8...
- Q Determine if the following function has an inverse function r x x 4x
- Q Given the matrices A and B shown below find A 2B A Rows 2 3 1 3 0 4 2 3 B Columns 20 10 1 8 9 10 2...
- Q 20 45 What is the range of f x 5 11x 4 1 0 y 2n 4 y 6 A D B E 5sys5 6 y 4 C All real...
- Q Calculate each of the following limits x 7 lim x 3x 2 17 85
- Q Consider the following function a 0 n 3 0 x 0 1 a Approximate f by a Taylor polynomial with degree n at the number a T3 x b Use...
- Q 5 Find for the curve t sin t t y t t t What is the minimum y value W does it occur
- Q Find the Taylor polynomial T3 x for the function f centered at the number a f x e sin 3x a 0 T3 x Graph fand T3 on the same...
- Q Determine the area that is bounded by the following curve and the x axis on the interval below Round your answer to three decimal places y x 4 6 x...
- Q Evaluate the integral Assume that B is a real number and that B 4x12x x dx
- Q Evaluate the definite integral 1 1 2 x 1 2 S X dx t 1 t dt x 1 23 12 1 1n 11 1 69 SLE dy 5 3...
- Q Use the Fundamental Theorem of Caclulus Part 1 to find the derivative 1 de f 1 dt dx t 1
- Q Find the sum of the series 1 In 7 In 7 In 7 21 31
- Q A person 6 feet tall is walking away from a lamp post at the rate of 55 feet per minute When the person is 4 feet from the lamp post...
- Q Find the work done on a particle moving from J to K if the magnitude and the direction of the force is given by F J 8 6 K 3...
- Q A function f satisfies the following conditions lim f x 6 x limf x 2 x 0 limf x x 6 What can be said about this function O This...
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