Calculus question and answers for July 29, 2023
- Q 3 x is y x C 15 Find the area shown below Hint The indefinite integral of y 2 87 3 x 1 PL y 4 x 4
- Q Find the area of the region between the curves y cos x and y 1 2x n
- Q Find the area of the region between the curves y x x and y 3x Area between curves
- Q Find the area of the shaded region below Area YA y 5r 12 y x 4 4 x
- Q Find the area of the region enclosed by the two functions y 6x and y x 5 1 0 1 0
- Q Find the most general antiderivative of the function f z z 7 1 22 1 2 where 1 z 1 Use an upper case C for any arbitrary constants F...
- Q x Find the area of the region between the curves y x and y x Area between curves
- Q Find the exact area of the region that lies beneath the curve y 7 sin x 0 x T
- Q Find f s if we know that 4 Type your complete solution in the space provided For the toolbar press ALT F10 PC or ALT FN F10 Mac f s...
- Q Find f x if we know that Type your complete solution in the space provided For the toolbar press ALT F10 PC or ALT FN F10 Mac f x 4...
- Q Work on all of the following problems Evaluate 1 S sec v e tan v dv
- Q Graph each function State the Period domain and rang y tanx 2 Y HE
- Q Use a series to estimate the following integral s value with an error of magnitude less than 10 8 0 3 Sex 0 0 3 e x dx dx
- Q Let S be the surface area which is obtained by rotating the curve 16 22 in the first region about y axis If the surface area S is equal to...
- Q 1 Write each sum using summation notation assuming the suggested pattern continues a 2 5 8 11 29 b 1 8 27 n 1 c 5 15 45 135
- Q Use the Midpoint Rule with n 5 to estimate the volume V obtained by rotating about the y axis the region under the curve y 4 7x 0 sxs 1...
- Q The income distribution for country A is estimated by the function f x 0 2x 0 42x 0 38 The income distribution for country B is estimated by the function...
- Q Consider the definite integral 10 5x dz a Approximate the definite integral with the Trapezoidal Rule and n 4 c Find the exact value of the integral 2440 3 b...
- Q For the following exercises draw the region bounded by the curves Then find the volume when the region is rotated around the y axis 82 y 4 x x 0...
- Q 3 The graph of a function f t is shown below Y n 1 2 3 4 5 6 7 4 3 2 1 The following questions are above the...
- Q e Let F x be an antiderivative of f x and let G x be an antiderivative of g x If f x is always less than g x then...
- Q f If f x is a continuous function then F x f t dt is also a continuous function TRUE FALSE
- Q As on the previous page the graph of the function f t is shown below 6 Y 4 3 2 1 1 1 2 3 4 5 6 8 9...
- Q d Splitting an integral along its interval as in n f x dx f ar dx f x dx is only a TRUE FALSE valid if a c b in...
- Q Step 2 of 2 If we ignore air resistance a falling body will fall 1612 feet in t seconds What is the average velocity between f 9 and t 9...
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