Calculus question and answers for July 31, 2023
- Q 3r If f x 2 cos x 0 x evaluate the left Riemann sum with n 6 taking the sample points to be left endpoints Find the width of each...
- Q The graph of f is shown a b y d y f x 6 K 0 6 12 18 Evaluate each integral by interpreting it in terms of areas f...
- Q For the function f whose graph is shown list the following quantities in increasing order from smallest to largest ya 2 0 EN A Rx dx D F X f...
- Q 15 lim 84x 3 n 1 7 1 3 n 1 2 3 n 1 1 1 3 3 n I
- Q 3 Give the precise definition of a definite integral ff x dr in terms of limit of a Riemann sum then explain what does f f x dr represent
- Q 4 The region bounded by the prabola y x and the line y 4x in the first quadrant is revolved about the y axis to generate a solid Find the...
- Q Find the derivative of the function F x 1 e 2 o de dt F x X 4
- Q Let F x Loc dt Find an equation of the tangent line to the curve y F x at the point with x coordinate 3
- Q Find the derivative of the function g x y sin x Jou cos x In 7 5v dv
- Q Evaluate the integral 192 x 3 X dx
- Q Let g x f t dt where f is the function whose graph is shown g 8 g 12 g 24 y 16 12 8 4 4 8 f a...
- Q 3x 2 on 1 x 3 Find the arclength of y 3x 2
- Q Let C be the curve y 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Surface area 2 f x Find the surface area of...
- Q Evaluate the definite integral 3 1 x 2 3 dx
- Q If f x 3 cos x Find the width of each subinterval T 8 x2 3 Find the left endpoints of the subintervals where x x x6 x1 0 4...
- Q c Consider the following theorem If f is integrable on a b then Use this to evaluate the integral 5 33 y 9r 8 7 6 5 4 3 2...
- Q Tutorial Exercise Use the Midpoint Rule with the given value of n to approximate the integral x 6 dx n 4 Step 1 We must calculate M4 f x ax...
- Q If w t is the rate of growth of a child in pounds per year what does 13 s frow t dt w t dt represent J5 O The child...
- Q If f x kx determine the value of k that makes f x a probability density function on 0 x 7 3 The value of k that makes f x...
- Q Evaluate the definite integral 3 4 csc t cot t dt
- Q Evaluate the definite integral 3 6 7 sec y dy
- Q The length of time in years until a particular radioactive particle decays is a random variable t with probability density function defined by f t 5e 5t for t in...
- Q Find the derivative of the function dy dx y 2e5x 3 11
- Q f x 2 cos x 0 x 3 evaluate the left Riemann sum with n 6 taking the sample points to be left endpoints Round your answer to six decimal...
- Q If Rx 3 cos x 0 x Find the width of each subinterval 2 Find the left endpoints of the subintervals where x x x6 x 4 x units x6...
- Q Find the Riemann sum for f x 2x 1 6 x 4 with five equal subintervals taking the sample points to be right endpoints Explain with the aid of a...
- Q Evaluate the following 2 f v 4 dx V8 X
- Q Find the derivative of the following function dy dx y 106x 1 11
- Q Graph of a function y f x is shown Evaluate 2 S 4 f x dx Show your solution co y f x 2 1 3 2 0 1 2...
- Q Evaluate the integral 5te4 i 8e 5t j 6 k dt 1 0 5te4 i 8e 5t j 6 k dt i j k Be 0 Type exact answers
- Q Evaluate the integral T 3 3 3 2 sin t i 3 4 cos t j sec t k dt 2 sin t i 3 4 cos t j sec...
- Q Evaluate the integral 1 S 1 i 0 i 4 j 5t 2 k dt S i i 4 j 5t 2 k dt i 0 TYDO OYst
- Q Evaluate the integral e dA The region R is shown below
- Q 6 2 Evaluate So Sex y 2 dydx Hint you may have to change the order of 2 Integration so it might help to draw the region of integration and...
- Q Match the equation with its graph y 2x 2 O no x DO DOTA
- Q A 5 inch rod is placed along the z axis starting at x 2 The mass density of the rod 1 Find the mass of the rod 1 r is...
- Q Set up the integral of the surface area obtained by revolving the region x q bounded by the graph of y 3a 4x B D E 2a 27 2T a...
- Q Solve the equation Find only the real solutions Enter your answers as a comma separated list 4x 5 x 1 2 3 5 x 0
- Q 27 Estimate the definite integral 1 z dr using eight rectangles and right endpoints
- Q 40 Given that f x sin t 5 dt find f r 2
- Q 1 x 1 1 3 using 8 approximating rectangles and right endpoints Estimate the area under the graph of y over the interval
- Q Find the indefinite integral Note Solve by the simplest method not all require integration by parts Use C for the constant of integration 1 11 arctan x dx 11arctan x...
- Q 12 Find the volume of the solid generated by rotating the region bounded by y sin x and y 0 between 0 and about the x axis
- Q 13 Sketch the region between y 5x and y 3x Find the area of the region
- Q 9 Evaluate the definite integral T 6 e4s 0 4sinx COS xdx
- Q Find the area under the curve y over the interval 1 2 X 2 8 7 6 5 4 3 2 N
- Q 7 Find the average value of the following function on the given interval f x x 1 x on 0 1
- Q One number is seven more than six times another number If the sum of the numbers is 28 find the numbers Provide your answer below
- Q Evaluate the definite integral Use a graphing utility to verify your result 12 22 16 2x x 25 dx
- Q One numberis eight more than three times another number If the sum of the numbers is 28 find the numbers Provide your answer below
- Q FICO ase 3 roo dr 2 the graph evaluate 2 2 Y F x 2 3
- Q Estimate the definite integral 22 da using four rectangles and right endpoints 1 x Answer 7 28
- Q 20 p 3 Determine whether the function f x x for rational x in 0 1 lo for irrational x in 0 1
- Q 1 Let h x t 1dt for 1 x 1 a Find h 1 b Find h 1
- Q Copy vectors u v and whead to tail as needed to sketch the indicated vectors a u v b u vw C U V d u w Choose the correct...
- Q F dr Use Stokes Theorem and Theorem 10 in section 16 7 to find Sc x y z 2y xz x y C is oriented counterclockwise as viewed from above...
- Q 3 x 8 y ve x y 8 egrileri taraf ndan s n rlanan b lgenin alan n hesaplay n z 25 puan
- Q Sketch the coordinate axes and then include the vectors u v and uxv as vectors starting from the origin u 8i v 2j Which of the following graphs contains u...
- Q Without graphing describe the shape of the graph of the function Find the second coordinates of the points with first coordinates 0 and 1 f x e 1 3x The...
- Q For what real values of the constant k does the region lying under the curve y 1 above the z axis and to the right of the line have infinite...
- Q Approximating the Area of a Plane Region In Exercises 1 6 use the rectangles to approximate the area of the region Compare your result with the exact area obtained using...
- Q Using the Midpoint Rule In Exercises 13 18 use the Midpoint Rule with n 4 to approximate the area of the region bounded by the graph of f and the...
- Q How many subsets of cardinality 5 does a set with 12 elements have
- Q Determine if the improper integral is convergent or divergent and calculate its value if it is convergent 0 Te 0 7x 7e dx Calculate the value of the improper integral...
- Q 1 What should be for the path independent of 2 4 xy y A Y dx 2xy x y dy 1 2 Moreover evaluate the integral for this value of...
- Q Calculate the number of possibilities From a standard deck of 52 cards in how many ways can 7 cards be selected
- Q Consider the box C 0 x 2 0 y 1 0 1 Calculate the flux integral fevnds where n is outward normal vector and v x y z 7x 287...
- Q 4202 B 2 0 2 8 5 Find the volume of the solid bounded below by the plane z 6 and above by the sphere a y 2 7 2...
- Q Use power series to solve the differential equation x 3 y 2y O
- Q xy x 1 x sin x y dA R 0 6 0 3 R JR dA R 0 1 x 3 3 ye xy dA R 0 2 0 3...
- Q Evaluate each of the following a 97 b A i 5 n lim 3
- Q jate x In x f x dx using the substitution u In f x Assume f 0 8 and f 1 9 Type your answer completely and include the
- Q Assume that x ff 1 dt F 1 It f 1 dt 26 and F 1 13 what is F 8 and why Explain your answer is detail and type...
- Q Integrate F y sin z i x sin z j xy cos z k around the circle cut from the sphere x y z 5 by the plane z 1...
- Q Find lu x vl ux v v 4 60 u 3 Determine whether u x v is directed into the screen or out of the scree Oux vis directed into...
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