Calculus question and answers for March 20, 2024
- Q Question pod area between f x and the x axis over the interval
- Q Question What is the net signed area between f x 2x 2 and the x axis over the interval 8 5 Do not include any units in your answer Provide...
- Q Find the net signed area between the curve of the function f x 2x 4 and the x axis over the interval
- Q Find the volume of the solid generated when the region bounded by y x and y 2 x is revolved about the x axis Set up the integral that gives...
- Q Find the net signed area between the curve of the function f x 2x 4 and the x axis over the interval 7 3 Do not include any units in...
- Q Find the volume of the solid generated when R shaded region is revolved about the given line y 1 x y 1 x 1 about y 1
- Q CURRENT OBJECTIVE Use substitution to evaluate a definite integral with the power rule Question Find d 3x 3x 2 dx Enter your answer as an exact fraction if necessary
- Q CURRENT OBJECTIVE Use substitution to evaluate a definite integral with the power rule Question Evaluate the following definite integral 5x x 1 dx Enter your answer as an exact fraction...
- Q Find the volume of the solid generated by revolving the region bounded by y 2x y 0 and x 3 about the x axis Set up the integral that gives...
- Q CURRENT OBJECTIVE Use substitution to find an indefinite integral with the power rule Question Find the following antiderivative 7x 3x 2 dx Do not include the constant C your answer...
- Q Question Find x x 1 dx Submit your answer in fractional form Provide your answer below
- Q The displacement in feet of a particle moving in a straight line is given by s 12 9t 16 where t is measured in seconds a Find the average velocity...
- Q The solutions x y of the equation x2 16y2 16 form an ellipse as pictured below Consider the point P as pictured with x coordinate 2 a The ellipse is...
- Q Question 4x Include the constant C in your answer Evaluate 4x 1 2x x 3 4 dx Provide your answer below
- Q T T C 2 For f x sin x and g x 0 5x on the interval 2 2 instantaneous rate of change of fis greater than the instantaneous rate...
- Q Tafu is working with subatomic particles in the Physics lab A positron is traveling in a straight line down the particle accelerator Tafu models its position with the function 2...
- Q This worksheet reviews limits and the definition of the derivative with graphs and computations 1 Answer the following questions using the graph y f x below The function f x...
- Q Worksheet Math 124 2 Evaluate the following limits and then match the functions with their graphs shown below using your limit results Some will require you to compute left and...
- Q Worksheet d f x 7x 12x 20 e f x f f x 3e 8x 4 x 2 Math 124
- Q Math 124 4 Find if any the horizontal asymptotes of the following functions and use that information to match them with their graphs on the next page Each question should...
- Q f a h f a h h 0 3 Use the definition of the derivative f a lim to compute f 3 for the following functions Then match the functions...
- Q C8 y 2x cos x in the interval 0 x 5 is A 6 B 7 The number of times the second derivative is zero for the graph of D...
- Q Worksheet Math 124 Worksheet for Week 4 Limits and Derivatives This worksheet reviews limits and the definition of the derivative with graphs and computations 1 Answer the following questions using...
- Q B 15 Let m and b be real numbers and let the function fbe defined by f x 1 3bx 2x for x 1 mx b for x 1 Iffis...
- Q 2 Let f be the function given by f x x 3x x 2 A The tangent to the graph of fat the point P 2 8 intersects the graph...
- Q 3 A Consider the graphs of y 3x c and y 6x where c is a real constant Determine all values of c for which the graphs intersect in two...
- Q Find the total distance traveled by a particle given its velocity function Question Find the total distance traveled by a particle according to the velocity function v t 4t 6...
- Q For the region bounded by y 3x the x axis and x 5 determine which of the following is greater the volume of the solid generated when the region is...
- Q Find the volume of the solid generated when R shaded region is revolved about the given line y 18 x y 18 x 324 about y 18 The volume of...
- Q Find the volume of the solid generated when R shaded region is revolved about the given line x 4 2 secy x 4 y T 3 and y 0 about...
- Q Find the volume of the solid generated when the region bounded by y 4x and y 12 x is revolved about the x axis Set up the integral that gives...
- Q CURRENT OBJECTIVE Find the total distance traveled by a particle given its velocity function Question Find the total distance traveled by a particle according to the velocity function v t...
- Q Use part I of the Fundamental Theorem of Calculus to find the derivative of 8x u 5 g x du u 3
- Q 14 A sign is hanging from a storefront The two ropes holding it are fixed at angles of 25 and 35 with the horizontal If the sign has a weight...
- Q particle given its velocity function Question Given that a particle travels according to the velocity function v t 2t 8 m sec what is the total distance traveled by the...
- Q 12 Show that the vectors 1 2 6 3 2 1 and 7 10 9 lie on the same KU 3 plane
- Q Find the volume of the solid generated in the following situation The region R bounded by the graph of y 2 sin x and the x axis on 0 x...
- Q Find the volume of the solid generated when the region bounded by y 2x and y 4 x is revolved about the x axis Set up the integral that gives...
- Q Find the volume of the solid generated by revolving the region R bounded by y ex y 0 x 0 and x In 3 about the x axis Set up...
- Q Let R be the region bounded by the following curves Find the volume of the solid generated when R is revolved about the x axis Recall that cos x 1...
- Q Find the volume of the solid generated when the region bounded by y 3x and y 12 x is revolved about the x axis Set up the integral that gives...
- Q ind the volume of the solid generated when the region bounded by y 3x and y 6 x is revolved about the x axis Set up the integral that gives...
- Q Question Find the total distance traveled by a particle according to the velocity function v t 4t 4 m sec over the time interval 0 4 Enter your answer as...
- Q Question 2 If 8 f x dx 3 and S f x dx 2 what is the value of P f x da 8 5
- Q Find the volume of the solid generated by revolving the region bounded by y 2x y 0 and x 3 about the x axis Set up the integral that gives...
- Q If fog x h x such that x 4x 8 which of the following could accurately represent f and g Of x 2x 4 and g x 2x 4 Of...
- Q Question Determine the value of S Provide your answer below fox f x dx given that 6 f x dx 9 and f x dx 3
- Q Guess the value of the limit lim x18 by evaluating the function f x for x 0 1 2 3 4 5 6 7 8 9 10 20 50 and...
- Q 2 Consider the following utility function defined over two goods 1 and 2 U x1 x2 x x2 The prices of goods 1 and 2 are p and p2 respectively...
- Q A graphing calculator is recommended 5x 1 x a If F x F 2 y x find F 2 and use it to find an equation of the tangent line...
- Q Tutorial Exercise A ball is thrown into the air with a velocity of 46 ft s Its height in feet after t seconds is given by s t 46t 16t2...
- Q Question A particle travels according to the velocity function v t 4t 10 m sec What is the total distance traveled by the particle over the time interval 2 12...
- Q The displacement in feet of a particle moving in a straight line is given by s s 9 16 where t is measured in seconds a Find the average velocity...
- Q Two different suppliers are competing to supply a particular part for a new Boeing airliner The Japanese supplier charges J n dollars for n parts whereas the Italian supplier charges...
- Q If a rock is thrown upward on the planet Mars with a velocity of 11 m s Its height above the ground in meters after t seconds is given by...
- Q Find the horizontal and vertical asymptotes of the curve You may want to use a graphing calculator or computer to check you DNE X 11 y 4x x 1 x...
- Q Question Given that a particle travels according to the velocity function v t 2t 7 m sec what is the total distanced traveled by the particle over the time interval...
- Q Find the shortest distance between 10 a and the curve y x 1 Select one a b C d 7 2 11 2 13 2 Lo VR TEA VR TEAM...
- Q Simplify the following trigonometric expression and verify that it equals sin D 8pts Show all steps cot D tan D sin D cos D Show all work only work typed...
- Q One possible way to simplify the trigonometric expression is shown Choose the correct substitution in each of the steps below from the answer bank provided Simplify secx cos x cotx...
- Q Find the horizontal asymptote y 2 2 x 2x 3 U y X 2
- Q Find the horizontal asymptote y 3x 6 X E f x
- Q Find the vertical asymptote x L f x 4 2 x 1
- Q Find the horizontal asymptote y Ny 2 1 x 5 x 3x 2
- Q Find the vertical asymptote x A f x x 3 5x 4
- Q Determine whether the following statements are true and give an explanation or counterexample a A pyramid is a solid of revolution b The volume of a hemisphere can be computed...
- Q The velocity function below corresponds to the motion of a particle If the velocity is measured in meters per second what is the net displacement of the particle for the...
- Q Question Calculate the area in square units bounded above by f x 7x 2x 20 and below by g x 8x 15x 2 Provide answer holour
- Q Suppose that lim f x 9 and lim g x 3 Compute the limits that exist X 4 X 4 a lim f x 3g x a Select the correct...
- Q Determine if the limit below exists If it does exist compute the limit x 3x 18 10 2x lim X 10 Select the correct choice below and if necessary fill...
- Q Use limits to compute f x f x 1 13x
- Q Suppose that lim f x 9 and lim g x 3 Compute the limits that exist X 4 X 4 a lim f x 3g x X 4 b lim...
- Q Question Consider the region bounded above by f x 2x 9x 10 and below by g x x 12x 10 Find the area in square units between the two functions...
- Q Suppose that lim f x 9 and lim g x 3 Compute the limits that exist X 4 X 4 a lim f x 3g x X 4 b lim...
- Q 5 Determine the y intercept of a line with a slope of 2 that is a tangent to the curve y y x 2 4x 5
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