Definite Integrals Questions and Answers

Let f x x 3x 189x 6 Use the definition of a derivative or the derivative rules to find f x f x Use the definition of a derivative or the derivative rules to find f x f x On what interval is f increasing do not include the endpoints in the interval Interval on which f is increasing On what interval is f decreasing do not include the endpoints in the interval Interval on which f is decreasing On what interval is f concave down do not include the endpoints in the interval Interval of downward concavity On what interval is f concave up do not include the endpoints in the interval Interval of upward concavity
Calculus
Definite Integrals
Let f x x 3x 189x 6 Use the definition of a derivative or the derivative rules to find f x f x Use the definition of a derivative or the derivative rules to find f x f x On what interval is f increasing do not include the endpoints in the interval Interval on which f is increasing On what interval is f decreasing do not include the endpoints in the interval Interval on which f is decreasing On what interval is f concave down do not include the endpoints in the interval Interval of downward concavity On what interval is f concave up do not include the endpoints in the interval Interval of upward concavity
Use the sum of the first 10 terms to approximate the sum 5 of the series Round your answers to six decimal places Sn n 3 3 x Estimate the error S 10 S n 1 3
Calculus
Definite Integrals
Use the sum of the first 10 terms to approximate the sum 5 of the series Round your answers to six decimal places Sn n 3 3 x Estimate the error S 10 S n 1 3
AA 3 1 Using Derivat answered x 2x 36x 192x
Calculus
Definite Integrals
AA 3 1 Using Derivat answered x 2x 36x 192x
Calculate the Fourier series of the function f t 2 tl 0 1 2 It otherwise
Calculus
Definite Integrals
Calculate the Fourier series of the function f t 2 tl 0 1 2 It otherwise
5 16 Solving Basic Trigonometric Equations S equation 5 sin 0 V3 2 6 sin 0
Calculus
Definite Integrals
5 16 Solving Basic Trigonometric Equations S equation 5 sin 0 V3 2 6 sin 0
Of the people who fished at Clearwater Park today 48 had a fishing license and 12 did not Of the people who fished at Mountain View Park today 40 had a license and 10 did not No one fished at both parks Suppose that one fisher from each park is chosen at random What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license Do not round your answer If necessary consult a list of formulas
Calculus
Definite Integrals
Of the people who fished at Clearwater Park today 48 had a fishing license and 12 did not Of the people who fished at Mountain View Park today 40 had a license and 10 did not No one fished at both parks Suppose that one fisher from each park is chosen at random What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license Do not round your answer If necessary consult a list of formulas
What is the domain of g x y OB x y x 1 Select the correct choice below and fill in any answer boxes within your choice OA x y y Use a comma to separate answers as needed OC x y x xy Use a comma to separate answers as needed OD R and y Use a comma to separate answers as needed
Calculus
Definite Integrals
What is the domain of g x y OB x y x 1 Select the correct choice below and fill in any answer boxes within your choice OA x y y Use a comma to separate answers as needed OC x y x xy Use a comma to separate answers as needed OD R and y Use a comma to separate answers as needed
2 a Find the area of the region inside r 3a cos 0 but outside r a a cos 0 where a is some positive constant b Graph the set of points whose polar coordinates satisfy 0 7 2 r 2 6 c Convert the polar equation r sin 0 6 into Cartesian coordinates and sketch it
Calculus
Definite Integrals
2 a Find the area of the region inside r 3a cos 0 but outside r a a cos 0 where a is some positive constant b Graph the set of points whose polar coordinates satisfy 0 7 2 r 2 6 c Convert the polar equation r sin 0 6 into Cartesian coordinates and sketch it
6 Pts total Given the integral Q f 4y 2x dydx a 4 Points Rewrite the given integral REVERSING the order of integration Be sure to draw a NEAT well labelled diagram of R showing a windshield wiper corresponding to the NEW order of integration b 2 Points Perform the integration using the new order IF you are unable to perform part a complete the integration in the given order Max credit 1 point
Calculus
Definite Integrals
6 Pts total Given the integral Q f 4y 2x dydx a 4 Points Rewrite the given integral REVERSING the order of integration Be sure to draw a NEAT well labelled diagram of R showing a windshield wiper corresponding to the NEW order of integration b 2 Points Perform the integration using the new order IF you are unable to perform part a complete the integration in the given order Max credit 1 point
In a trend that scientists attribute at least in part to global warming a certain floating cap of sea ice has been shrinking since 1980 The ice cap always shrinks in the summer and grows in winter Average minimum size of the ice cap in square miles can be approximated by A r In 2013 the radius of the ice cap was approximately 793 and was shrinking at a rate of approximately 4 1 mi yr How fast was the area changing at that time The area was changing at a rate of Round to the nearest integer as needed in 2013 mi yr mi yr yr mi mi yr mi yr
Calculus
Definite Integrals
In a trend that scientists attribute at least in part to global warming a certain floating cap of sea ice has been shrinking since 1980 The ice cap always shrinks in the summer and grows in winter Average minimum size of the ice cap in square miles can be approximated by A r In 2013 the radius of the ice cap was approximately 793 and was shrinking at a rate of approximately 4 1 mi yr How fast was the area changing at that time The area was changing at a rate of Round to the nearest integer as needed in 2013 mi yr mi yr yr mi mi yr mi yr
Evaluate the definite integral CT 2 sin re
Calculus
Definite Integrals
Evaluate the definite integral CT 2 sin re
se the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y x and y about the line y 1 olume
Calculus
Definite Integrals
se the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y x and y about the line y 1 olume
Se p gia 00 33
Calculus
Definite Integrals
Se p gia 00 33
75 We know from Example 1 that the region x y x 1 0 y 1 x has infinite area Show that by rotating about the x axis obtain a solid called Gabriel s horn with finite volume
Calculus
Definite Integrals
75 We know from Example 1 that the region x y x 1 0 y 1 x has infinite area Show that by rotating about the x axis obtain a solid called Gabriel s horn with finite volume
x 2 499 B dx 1 x 1
Calculus
Definite Integrals
x 2 499 B dx 1 x 1
445 rlar dr
Calculus
Definite Integrals
445 rlar dr