Find the line integral of f x y z x y z over the straight

According to the formal definition of the definite integral if the function f x is continuous on the interval a b then f x dx f x dx lim 100 where Ax interval 3 and the value of x is in the

Compute the given integral Enter the exact value of the answ 1 dx 1 64x2 2

Find the volume formed by rotating about the y axis the region enclosed by x 7y and y3 x with y 0

Find the volume of a pyramid with height 23 and rectangular base with dimensions 3 and 9 using integration

Find the volume of the solid obtained by rotating the region bounded by y x y 0 and x 3 about the y axis V

Let R be the region bounded by 5 y 2x 10 y 3x 25 To find the volume of the solid when R is revolved around the x axis evaluate the integral dx The volume of the solid formed when R is revolved around the x axis is Type pi to enter

As a hardworking student plagued by too much homework you spend all night doing math homework By 6am you imagine yourself to be a region bounded by y 722 x 0 x 2 y 0 As you grow more and more tired the world begins to spin around you However according to Newton there is no difference between the world spinning around you and you spinning around the world Unfortunately you are so tired that you think the world is the x axis What is the volume of the solid you the region create by spinning about the x axis

21 Angle of Depression A man is flying in a hot air balloon in a straight line at a constant rate of 5 feet per second while keeping it at a constant altitude As he approaches the parking lot of a market he notices the angle of depression from his balloon to a friend s car in the parking lot is 35 A minute and a half later after flying directly over his friend s car he looks back to see his friend getting into the car and observes the angle of depression to be 36 At that time what is the distance between him and his friend Give your answer to the nearest foot

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line about x 3 Volume y 1 x5 y 0 x 3 x 4

Find the volume of the solid formed by rotating the region enclosed by about the y axis y e 5 y 0 x 0 x 0 8