Calculus question and answers for July 26, 2023
- Q Use a double integral to find the volume of the indicated solid Z 6 Z 6 2y y
- Q Consider the area between the graphs x 4y 28 and x 4 y This area can be computed in two different ways using integrals First of all it can be...
- Q 1 point If f is continuous and S f x dx 7 evaluate f 5x d
- Q Sketch the region enclosed by the curves given below Decide whether to integrate with respect to x or y Then find the area of th region Area y 4 y...
- Q Find c 0 such that the area of the region enclosed by the parabolas y x c and y c is 10
- Q A company finds that the marginal profit in dollars per foot from drilling a well that is x feet deep is given by 6 P x 3 x Find the...
- Q 3 3 5x 2 dx 2 Type 5x 2 dx an integer or a simplified fractio
- Q Find the area under the graph of the function over the interval given f x ex 1 2 The area is Type an exact answer in terms of e
- Q Find the area under the given curve over the indicated interval 2 y x 3x 3 2 5 The area is
- Q 226 Suppose that a particle moves along a straight line with acceleration defined by a t t 3 where 0 t 6 in meters per second Find the velocity and...
- Q Find Ln Rn and their average for the definite integral below using the indicated value of n 7 5x x dx n 6 4 The left Riemann sum Ln is...
- Q 224 Suppose that a particle moves along a straight line with velocity defined by v t t 3t 18 where 0 t 6 in meters per second Find the displacement...
- Q Evaluate S 6 2x 1 2 3 X x 7 2x 1 20 dx dx In 7 x x 7 2 Type an exact answer
- Q In the following exercises use the evaluation theorem to express the integral as a function F x fe 190 t dt
- Q In the following exercises evaluate each definite integral using the Fundamental Theorem of Calculus Part 2 1 1 2 3a da 170 L 171 172 t 2 t 3 dt...
- Q A Estimate the area under the graph of f x 36 x from x 0 to x 6 using 6 approximating rectangles and right endpoints Estimate B Repeat part A...
- Q Use the Midpoint Rule to approximate with n 7 4 5 2 5 x dx
- Q 8 5 3 5 Lot f f x dx 6 f x dx 6 Find f x dx 3 5 3 5 and 6 6 f x 6 dx 8...
- Q Evaluate the integral by interpreting it in terms of areas x dx
- Q Given that 4 f x 6 for 4 x 7 use property 8 of Section 5 2 of the Stewart Essential Calculus textbook to estimate the value of f x...
- Q Speedometer readings for a motorcycle at 12 seconds intervals are given in the table t sec 0 12 24 36 48 60 v ft sec 26 22 26 27 30...
- Q Find the area of the region between y x 2 and y x 5 for 0 x 1 area
- Q Evaluate the given indefinite integrals You may find it useful to expand the integrand before proceeding a 7x 7 dx b 3x 7 8x 6x dx C C
- Q Evaluate the given indefinite integrals aftdt t dt a b C d 8t dt It at S e dt 10t5 dt 8t 10t5 10 dt C C C C C
- Q 1 2 Find the area of the shaded region 2 1 YA y 5x r2 y x 4 4 X
- Q Question 3 of 10 1 point Zoom Meetings b Solve the right triangle for the unknown sides and A 29 1 b 19 1 Attempt 1 of Unlimited C
- Q ege Homepage Question 2 of 10 1 point A Zoom Meetings Solve the right triangle for the unknown sides and ang a 9 b 9 9 b Attempt 1 of...
- Q In the following exercises find the average value fave of f between a and b and find a point c where f c fave 110 f x x a 1...
- Q Also find the x dx using the Riemann Sum formula b f x dx lim x Ar 81x i 1
- Q In the following exercises given that integrals 1 x x x dx 99 1 2 x 2 de 98 0 f 1 x dx 100 fo t xe xdx of...
- Q Suppose f x 1 33 x 6x 8 x If f 8 185 what is f 1 equal to Enter a
- Q 3 Suppose f s 25 1 4 and f 1 S S 25 2 What is the constant term C in f s equal to Enter a number only
- Q Question 8 Instructor created question suming that b is positive solve the following equation for b 30 3x 10 dx 16 Round your final answer to 4 decimal places Give...
- Q Let b t represent the population of bunnies on Greentree Island t weeks after the population was first re Assume that b 0 184 b 20 1284 b 40 1347...
- Q The duration of a scuba dive in minutes is given by T v D 33v D 33 where v is the volume of air in the tank at sea level...
- Q In the following exercises evaluate the integral using area formulas 3 0 76 3 x dx
- Q Evaluate the definite integral 0 Sy4 5y5 6 dy 1 0 y sy 6 dy Simplify your answer Type an exac 2
- Q Evaluate the definite integral 11 50 4 5u 1 4 1 u 5 du 1 u 5 Type an exact answer in terms of e du
- Q Evaluate the definite integral 9 9 4 40y y 15 y dy 40y y 15 ydy
- Q Evaluate the integral 5 2x 6 6 dx 3 5 2x 6kdy 12x
- Q Find the exact value of the integral 8 64 0 64 x dx 1
- Q Approximate the area under the gra f x x2 8 from x 2 t a Use left endpoints b Use right endpoints c Average the answers in parts d Use...
- Q Integrate 3 S In 2x dx ww 3 S In 2 1 Do not round until the final answer Then round to four decimal places as nee In 2x dx
- Q For each of the described curves decide if the curve would be more easily given by a polar equation or a Cartesian equation write an equation for the curve a...
- Q Find the equation of the parabola that satisfies the given conditions Focus is on the x axis passes through 3 2 and 2 2
- Q Find the arc length of the polar curve r a 1 cose
- Q Find the exact length of the curve x et e t y 5 2t 7 2537 0t
- Q Find the volume of the solid bounded below by the circular cone z 1 y and above by the sphere x y 2 2 25z
- Q EXAMPLE 6 A particle moves along a line so that its velocity at time t is v t t t 6 measured in meters per second a Find the displacement...
- Q Find the exact length of the curve described by the parametric equations x 2 3t y 3 2t 0 ts1 2 3 2 ln 1 2 X Enhanced Feedback Please...
- Q A z So If 0 A A 31 1 3 3 1 t 11 dt then
- Q Find the distance traveled by a particle with position x y as t varies in the given time interv x 3 sin t y 3 cos t Osts 2m Compare...
- Q Evaluate the following indefinite integral 7 dx 7 dx
- Q Calculate the integral x y 8y curves dxdy where D is bounded by the y x 3 x 0
- Q 1 Estimate the area under the graph of y 1 from x 2 to x 4 using three approximatin rectangles and RIGHT endpoints Sketch the rectangles
- Q 10 Determine whether the integral is convergent or divergent If it is convergent evaluate it 1 2 x 1 3 2 dx In case it s not clear the 3...
- Q Use series to approximate the value of the integral with an error of magnitude less than 10 5 Use series to approximate the value of the integral with an error...
- Q The region between the graphs of y x and y 2 and y 2x is rotated around the line x 2 The volume of the resulting solid is
- Q The region between the graphs of y x and y 2x is rotated around the line x 2 The volume of the resulting solid is 13 5m
- Q Approximate the area under the curve y x from x 3 to x 5 using a Right Endpoint approximation with 4 subdivisions
- Q Estimate the area under the graph of f x rectangles and right endpoints R 1 x 2 Repeat the approximation using left endpoints over the interval 1 2 using four...
- Q Determine which values of p make the following integrals converge Give your answer in each case by entering an appropriate inequality sign e g or in the box immediately after...
- Q In the following exercises estimate the areas under the curves by computing the left Riemann sums Lg 42 YA 6 5 4 3 2 1 1 2 3 4 567...
- Q 1 a Find dV in term of dr What is dV if dr 0 1cm when r 10 cm b Express the radius r in terms of the volume V...
- Q 18 R4 for x2 2x 1 on 0 2
- Q Let L denote the left endpoint sum using n subintervals and let R denote the corresponding right endpoint sum In the following exercises compute the indicated left and right sums...
- Q Find the average temperature in the box D x y z 0 x In 4 0 sy In 8 0 z In 16 with a temperature distribution c T x...
- Q Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder y x and the planes z 23 y and z 0 The volume of...
- Q Evaluate the following integral JSS xy xz yz dV D x y z 3 x 3 6sy 6 5 z 5 xy xz yz dV Simplify your answer
- Q Given the following price demand function find the elasticity of demand E p and determine whether demand is elastic inelastic or has unit elasticity for the following values of p...
- Q 1 2 The domain is 3 Write the domain in interval notation Write k x log 3x 4
- Q Find the horizontal asymptote of f x Question Help Video X 3x 4 3x3 2x2 1
- Q Question 11 lot yet nswered If f
- Q Use the graph below to fill in the missing values 3 2 1 f 0 4 f 0 0 f x f x 0 x 3 4 f x 0...
- Q Given P f x where P is the profit in thousand of dollars and is the number of units sold measured in hundreds which of the following is the best...
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