Calculus question and answers for March 25, 2024
- Q suppose Iim f x x 2 The graph of y f x might look like select all that apply
- Q Suppose f x is defined at 1 and lim f x exists but lim 4 1 1 The graph of y f z might look like select all that apply...
- Q Consider the graph shown Check all that apply a f 2 exists lim f x exists 112 None of the above
- Q Suppose f x IS The graph of y f x might look like select all that apply Q de x 1 CO
- Q x 1 not exist The graph of y f x might look like select all that apply Q
- Q Let f x 4x 3 if x 1 12 5x if x 1 Determine whether f x is continuous at x 1 If f x is not continuous identify why...
- Q Consider the graph shown Check all that apply f 1 exists lim f x exists x 1 None of the above
- Q The graph below is the function f x 54 3 2 lim x 1 54327 lim x 1 2 he 72 S Find the following If no value exists enter...
- Q The graph of y f z has the following features e e f 2 1 lim f x 2 2 lim f x 2 2 2 Which of the following...
- Q The region is formed by the graphs of y 3 2x and y 8 x Find the volume of the solid obtained by revolving the region about the x axis...
- Q he region is formed by the graphs of y 3 x and y 4 x Find the volume of the solid obtained by revolving the region about the x axis...
- Q The region is formed by the graphs of y 3 2x and y 8 x Find the volume of the solid obtained by revolving the region about the x axis...
- Q Find the length of the following curve 2 y In x x 1 for 10 145 The length of the curve is Type an integer or decimal rounded to three...
- Q Find the mass of the thin bar with the given density function p x x 8 x for 0 x 2 The mass of the thin bar is Gyne an...
- Q Write and simplify the integral that gives the arc length of the following curve on the given interval Then use technology to approximate the integra x 2 4 on 3...
- Q etermine the area of the region shown to the right y x 3 y 6 x 3
- Q Determine the area of the given region The region bounded by y sin X 2 and y cos The area of the given region is Type an exact answer using...
- Q Find the area of the shaded region shown in the figure which is not shown to scale
- Q Starting at the same point on a straight road Anna and Benny begin biking with velocities in mi hr given by VA t 2t 2 and Vg t 5 t...
- Q Determine the area of the region shown to the right CIIS CID y x 5
- Q Graph the function over a two period interval y 3 cot x Choose the correct graph below O A OB Ay A O 17 O C Ay O D Ay
- Q Answer the questions about the work of a spring a It takes 70 J of work to stretch a spring 0 2 m from its equilibrium position How much work...
- Q Question A solid is formed by revolving the region bounded on the left by y 2x on the right by y In x above by y 6 and below by...
- Q Graph the function over a one period interval y cot 2x Which graph below shows one period of the function O A 6 GF G B O C A O...
- Q Question Consider the region bounded by the graphs of y 7x y ln x y 6 and the x axis If this region is rotated about the y axis what...
- Q Give a formula for a function f that satisfies lim f x o and lim f x 0 x 10 x 10 Choose the correct answer below X 1 X...
- Q Choose the appropriate description of the following function y 4sin 6x 7 Which of the following is the appropriate description of y 4sin 6x 7 1 OA amplitude 4 period...
- Q Find the a period b phase shift if any and c range of the following function y 3 sec X R 2 T a The period is Type an exact...
- Q PROBLEM 6 For a function f R R f x xe 5x 3p find the right sided slant asymptote 5p examine the monotonicity and find local extreme values 2p verify...
- Q y square root of 4 x 2 y 0
- Q Determine the point on the graph of the unit circle that corresponds to T findcos 2 andsin COS T and state which functions are undefined for The point on the...
- Q Question Consider the curve f y y Jour for 1 y 2 Find the arc length of the curve 4y
- Q K Find the circular function values for the given number s State which functions are undefined for s Do not use calculator 3x 2 S A sin 3x 2 A...
- Q Choose the correct graph of the function y 2cos x Choose the correct graph below O A N Ay 10 G OB 10 Q O C Ay 10 Q OD...
- Q Use transformations to graph the following function y 4 sinx Select the graph that represents the given function O A Ay K 2x G OB K 2x G O C...
- Q Question Consider the curve f y 6y 1 over the interval 2 y 6 Which of the following integrals represents the arc length of the graph of f y Select...
- Q t the following radian measure to degree measure
- Q Calculate the amount of work done to lift an object and cable Question How much work in foot pounds is done when a 45 foot long cable with a weight...
- Q The formula 0 can be rewritten as 0 wt Using wt for 0 changes s r0 to s rot Use the formula s rot to find the value of the...
- Q Let x y be any two vectors in space Which of the following are properties of the cross product x x y Select all that apply x x y is...
- Q Convert the following degree measure to radians 90 90 radians Simplify your answer Type an exact answer u
- Q The concentration of a solution is defined as the amount of a substance divided by the volume of the solution Suppose a vat contains 18 kg of salt and 50...
- Q The graph below is the function f x 5 4 3 2 1 3 2 7 lim H 2 f 2 f x 2 123 4 5 lim f x...
- Q lim sin x 4 sin 4 0 H 0 sin x 4 sin a cos 4 cos x sin 4 sin r sin 4 cos x cos 4 sin r...
- Q lim sin 2 4 sin 4 2 0 sin x 4 sin z cos 4 cos z sin 4 sin z sin 4 cos z cos 4 sin a sin...
- Q Suppose 0 If 2 then lim x 0 lim 0 lim sin u sin u 0 u lim H 0 U sin 2x I sin 2 1 2 2 2...
- Q Question Consider the curve f x x 1 for 1 x 4 Find the arc length of the curve 2x Enter an exact answer Provide your answer below
- Q Which of the following is equal to 2x 3x 2x sin 2x 2x sin 3x 3x sin 2x 3x sin 3x 2 sin x 3 sin x sin 2x 3x...
- Q Let f x be the number in thousands of computers sold when the price is x hundred dollars per computer Interpret the statements f 14 80 and f 14 2...
- Q Use the washer method to find the volume of a solid of revolution around Question 2 A solid is formed by revolving the region bounded by the graphs of f...
- Q Suppose that f 600 6000 and f 600 10 Estimate each of the following a f 601 b f 600 5 c f 599 d f 598 e f 599...
- Q Suppose a student finds the following values of x and f x x If f X 1 9 10 1 99 344 1 999 8197 L these values would make...
- Q An object moving in a straight line travels s t kilometers in t hours where s t 7t 5t a What is the object s velocity when t 6 b...
- Q Consider the cost function C x 7x2 12x 24 thousand dollars a What is the marginal cost at production level x 5 b Use the marginal cost at x 5...
- Q Find the mass of the following thin bar A 5 m bar with a density in g m of p x 250c For a thin bar or wire represented by...
- Q Ay 01 0 3 0 y f t y f t 10 12 14 16 8 Years after 1980 Q OU Q ndituror in billions of dollars The red Next...
- Q The graph of y f x solid and y g x dashed is shown 6 5 4 3 4 lim 2 1 9 x 0 8 f x lim 24...
- Q Let f t be the temperature of a cup of coffee t minutes after it has been poured Interpret f 8 110 and f 8 5 Estimate the temperature of...
- Q An analysis of the daily output of a factory assembly line shows that about 70t t At t 6 the rate of production is units per hour 1 t3 units...
- Q Suppose that f x x a What is the average rate of change of f x over each of the following intervals 3 to 4 3 to 3 5 3...
- Q Theo and Sasha start at the same place on a straight road riding bikes with the following velocities measured in mi hr Complete parts a through f VT 1 5...
- Q Find the following lim cos 7a sin 0 0 cos 72 cos sin 72 sin cos 72 sin 7x sin cos 7x cos cos 72 sin sin 72 cos cos...
- Q CURRENT OBJECTIVE Use the washer method to find the volume of a solid of revolution around the x axis Question Let R represent the region bounded above by the graph...
- Q 6 Here is a graph of a pattern of numbers where V is a function of n The first point is 0 1 22 20 18 16 14 12 10...
- Q Question Let the curve C be the function f y 6y5 1 over the interval 1 y 7 Set up the integral for the arc length of the curve C...
- Q The velocity of an airplane flying into a headwind is given by v t 30 25 12 mi hr for Osts3 hr Assume that s 0 0 a Determine the...
- Q The graph below is the function f x 8 7 6 5 4 3 2 8 7 6 S 4 lim 118 32 4 12 2 3 3 4 5...
- Q A cyclist rides down a long straight road at a velocity in m min given by v t 100 10t for 0 st 10 a How far does the cyclist...
- Q Given lim f x 2 and lim g x 1 evaluate 8118 X118 lim g x ln 6f x 4 60 8118 lim 69 x e f z 30 8118...
- Q Question Consider the curve f y y for 1 y 4 Find the arc length of the curv
- Q Given lim f x 7 and lim g x 4 evaluate 8118 lim 2f x 4g x 8118 lim 2 4f x 8118 lim x418 2f x 4g x 2...
- Q Question Find the volume of a solid of revolution formed by revolving the region bounded by the graphs of f x xand g x 1 over the interval 1 3...
- Q Find the following values for f x sin Be sure your computing device is set to RADIAN mode X f x 0 8105 Based on these values O lim sin...
- Q Check all that apply sin 5x sin CT 5 5x 5x sin 6x 5x 6x sin 5x sin 6x 6 sin 5x 6x
- Q Question 1 Consider the curve f x x for 1 x 2 Find the arc length of the curve 2x Provide your answer below
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