Calculus question and answers for March 09, 2024
- Q 10The mouse is a particularly useful model for studying human disease because mice and humans are 100 genetically a identical all mice are in essence clones mice do not feel...
- Q 7 In the creation of a DNA profile a b C d minisatellites short tandem repeats introns exons are typically used
- Q 7 In the creation of a DNA profile a b C d minisatellites short tandem repeats introns exons are typically use
- Q The graph below shows a continuous function y a t F 6 5 A 3 2 2 2 2 3 5 6 2 3 A At 3 f is increasing...
- Q Consider the function f t 4 sec t 2t Let F t be the antiderivative of f t with F 0 0 Then F 5
- Q The tables to the right give price demand and price supply data for the sale of soybeans at a grain market where x is the number of bushels of soybeans...
- Q Consider the function f t 4 sec t 2t Let F t be the antiderivative of f t with F 0 0 Then F 5 4 tan 2 2 6
- Q cal integration command on a graphing calculator Find the future value at 9 75 interest compounded continuously for 10 years of the continuous income stream with the rate of function...
- Q Consider the function f t 6 sec t 7t Let F t be the antiderivative of f t with F 0 0 Then F 2 6 tan 2 21 X
- Q 8 3 Does E 1 2 n 0 37 converge or diverge If it converges what is the sum
- Q Find the derivative of 2e 92 cos 6x Hint use product rule and chain rule Use e x for e 12e 9x Y 9x sin 6x 18e cos 6x Now...
- Q Q what are the bounds of integration for the first integral and a f x da f x dx f a da f x dx F x dx f x...
- Q Consider the function f t 6 sec t 9t Let F t be the antiderivative of f t with F 0 0 Then F 2
- Q 5 If x 2t t and y 6 2t find an equation of the tangent in terms of x and y to e curve at t 2
- Q Write the first five terms of the geometric sequence an 4an a 2 OA 8 32 128 512 2 048 OB 4 8 32 128 512 O C OD 2...
- Q Find the sum of the first 9 terms of the following geometric sequence 8 16 32 64 128 OA 4 090 OB 4 068 OC 4 125 OD 4 088
- Q 4 Determine the domain Express your answer in interval notation 5 points f x log 2 3
- Q Write the first five terms of the arithmetic sequence a 2 d 2 A 2 4 6 8 10 4 6 8 10 12 0 2 4 6 8 OD...
- Q 3 The half life of a radioactive substance is 20 years If we start with 15 gram a how much is left after 5 years b how long will it...
- Q 5 Solve the equation Do not use a calculator Give an exact value 5 points 1 4 ln 2z 1 5
- Q 1 Write an equivalent statement in logarithmic form 4 points 1 100 10 000
- Q The tables to the right give price demand and price supply data for the sale of soybeans at a grain market where x is the number of bushels of soybeans...
- Q 3 Solve the equation Give an exact value AND an approximation to the nearest thousandth 5 points 2 3 5
- Q 2 Rewrite as one single logarithm with coefficient 1 4 points log 2y 5 2 log y 3
- Q b lim X XX x 1 X
- Q Find the consumers surplus and the producers surplus at the equlibrium level for the given price demand and price supply equations Include a graph that identifies the consumers surplus and...
- Q In order to study the effects of World War II on a certain country s economy an economist used data from that country s census bureau to produce the following...
- Q Find the producers surplus at a price level of p 58 for the price supply equation below p S x 5 0 1x 0 0003x The producers surplus is Round...
- Q A C x2 5x 6 x 3x x 2x x 2x 1 X 3 x 4x 3 x 3x B D y2 7y 1 y 8y 7 x 2x 3x...
- Q F 2x 12x x 4x 12 3 4 8x 24x x 9x 18
- Q Find the derivative of the function g x g x et 2 et 5 2x
- Q 2 6x 3 Find the constant term in the expansion of 6x
- Q In 2012 34 1 of all glass containers were recycled A beverage company used 350 000 lb of glass containers per year After recycling the amount of glass in pounds...
- Q An office machine is purchased for 7300 Assume that its salvage value V in dollars depreciates according to a method called double declining balance by 30 each year and is...
- Q A scientist has two cultures of bacteria Culture A starts with a volume of 3 ml and doubles every 4 hours Culture B starts with a volume of 2 ml...
- Q In some chemical reactions the rate at which the amount of a substance changes with time is proportional to the amount present For example this is the case as 8...
- Q The equation A t 8000e0 055t gives the balance after t years of an initial investment of 8000 dollars which pays 5 50 compounded continuously dA a Find a formula...
- Q Find the area of the region bounded by the graphs of the given equations y 4x y x x 0 x 2 O A B S Ox f dx SC...
- Q A company s total cost in millions of dollars is given by C t 100 40et where t is the time in years since the start up date The graph...
- Q 7 Find the Cartesian coordinates of the polar point 2 3
- Q Find s t where s t represents the position function v t represents the velocity function and a t represents the acceleration function a t 12t 4 with v 0...
- Q In 2012 34 1 of all glass containers were recycled A beverage company used 350 000 lb of glass containers per year After recycling the amount of glass in pounds...
- Q Find the area bounded by y 2x3 54x 135 the x axis and the first coordinates of the relative maximum and minimum values of the function The area is
- Q Use the fact that the derivative gives the slope of a curve to decide which of the graphs A F in the figure below could represent a solution to the...
- Q 2 Evaluate fx cos x dx as an infinite series
- Q dy Is there a value of n which makes y x a solution to the equation 3x y If so what is the exact value dx Enter NA if there...
- Q Find the Taylor series for f x sin x centered at a EIN
- Q Determine which of the following functions is a solution to the differential equation Oy 4t Oy 3t Oy 14 Oy 4 Oy 1 dy dt 4y
- Q Find the Taylor series for f x sin a centered at a 11 kla
- Q 1 Find the Taylor series for f x sin x centered at a KIN
- Q A motorcyclist being monitored by radar accelerates at a constant rate from 0 mph v 0 0 to 55 mph in 15 sec How far has the motorcycle traveled after...
- Q D x is the price in dollars per unit that consumers are willing to pay for x units of an item and S x is the price in dollars per...
- Q Find the derivative of the function g x g x e 3x 1 4 3x Pe 4 3x
- Q Does n 1 n 5 converge or n 10n 9 2 diverge 16
- Q Does 4n6 n 1 n7 1 converge or diverge
- Q O x is the price in dollars per unit that consumers are willing to pay for x units of an item and S x is the price in dollars per...
- Q ind the exact length of the curve x 5 6t y 4 4t 0 t 4
- Q 2 20 points Consider the cone V whose base is the unit disk in the xy plane and whose height is 1 along z axis as shown below The dimensions...
- Q The graph shows the function y w t 1 5 4 3 2 7 1 2 3 4 5 We define a new function a z X 0 1 2...
- Q Find the derivative of 9e Use e x for e 91 21 cos 2x Hint use product rule and chain rule Now find the equation of the tangent line to...
- Q Refer to the figure to the right Set up a definite integral from a to b that represents the shaded area I Ay b y kx
- Q Use the definition of continuity to determine the value of the constant c for which the function fis continuous on where f y cy 8 if y 5 c y...
- Q Find the derivative of the function g x g x e 5x 8 5x 3 2 ez 3 52
- Q Use the Fundamental Theorem of Calculus to find the derivative of 1 f x 1 t5 dt f 5 f x
- Q Evaluate the limit using L H pital s rule e 3x 1 3x lim 0
- Q Suppose that f is a function given as f x follows 1 x 7 We will compute the derivative of fat x 5 as First we compute and simplify the...
- Q 2 10 4x dx 1
- Q A factory selling cell phones has a marginal cost function C x 0 01x 3x 229 where a represents the number of cell phones and a marginal revenue function given...
- Q Find the area enclosed by the graphs of sin x and cos x between x 0 and shown below 1 Question Help Read 2 3
- Q Find the arclength of y 3x 2 on 2 x 3 16 15 14 13 12 H 10 9 78 Give your answer to at least two decimal places of...
- Q Find the area between y x 1 and y x 2 Round your limits of integration and answer to 2 decimal places 10 9 7 6 5 q The area...
- Q Find the area between y x 2 and y x 4 Round your limits of integration and answer to 2 decimal places F
- Q Find the area between y 9 and y x 1 with 0 a
- Q Graph the curves r 2 4 cos 0 and r 2 4 sin 0 Identify the correct sketch of r 2 4 cos 0 O A 8 8 OA 8...
- Q Recall that cot x cos x sin x
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