Calculus question and answers for July 29, 2023
- Q 5 Estimating a definite integral and average value from a graph Use the figure below which shows the graph of y f x to answer the following questions Click on...
- Q 5 5 pts 6 6 275 Sketch the region bounded by y region 6 4 2 10 6 4 2 2 ab numbers equations computations or algorithms it is about...
- Q 6 Using rules to combine known integral values 4 5 7 5 4 5 Suppose f a da 10 f x dx 8 f x dx 10 9 6 f...
- Q H N 2 5 pts 6 3 148 Sketch the region bounded by x y and y x Determine the volume when the region is rotated about the line y...
- Q 1 Evaluating definite integrals from graphical information Use the following figure which shows a graph of f x to find each of the indicated integrals Click on the graph for...
- Q 6 5 pts 6 2 86 Sketch the region bounded by the curves y x 0 ans x 3 Then determine the volume when the region is rotated around the...
- Q 4 5 pts 6 1 17 Sketch the region bounded by y x and y x 2x over 1 1 Determine the entire area of the region 4 2 6...
- Q Evaluate the definite integral 2 6 2x 4 x dx
- Q ate the definite integral 3 8 8x 6 dx
- Q Evaluate the definite integral S 4 sin x dx 0
- Q 6 Find the area enclosed by 1 2 cos 40
- Q A 25 year old woman burns 350t cal hr while walking on her treadmill How many calories are burned after walking for 4 hours calories burned
- Q The temperature at a point x y z of a solid E bounded by the coordinate planes and the plane x y z 1 is T x y z 9xy...
- Q Let the region R be the area enclosed by the function f x ln x and 1 Find the volume of the when the region Ris g x x solid...
- Q The shape and density of a thin shell are indicated below Find the coordinates of the center of mass Shell nose of the paraboloid x y 2z cut by the...
- Q 8 Below is the graph of a function f x with domain 2 6 4 07 2 2 2 1 15 2 37 0 85 a 2 points Decide whether...
- Q The right sum R is used to approximate the definite integral to the indicated accuracy How large must n be chosen to achieve the indicated accuracy The function is increasing...
- Q Suppose that profits on the sale of swimming suits in a department store are given approximately by the following function P t where P t is profit in hundreds of...
- Q Find the shaded area under the cosine curve in the figure to the right The prop under the curve in the figure is 1 0 0 y cos x HIN...
- Q Calculate the indicated Riemann sum S5 for the function f x 22 5x Partition 3 7 into five subintervals of equal length and for each subinterval XK 1Xxk let CK...
- Q The rate of healing A t in square centimeters per day for a certain type of abrasive skin wound is given approximately by the table CE t 0 A t...
- Q Calculate 7x dx given the following 1 9 x dx 723 1 10 7x dx x dx 271 3 9 9 Sxd 1 10 73 1 Type an integer or...
- Q Use a graphing calculator to graph the region R bounded by the graphs of the indicated equations Use approximation echniques to find intersection points correct to two decimal places Describe...
- Q Reverse the order of integration for the integral Then evaluate the integral with the order reversed 4 16 S S 0 4x 1 y dy dx 11 0 4x dx...
- Q Graph the region R bounded by the graphs of the given equations Use set notation and double inequalities to describe R as a regular x region and as a regular...
- Q Use the description of the region R to evaluate the indicated integral Sex y dA R x y xsy x 5 x 8 R SS x dA Sexty
- Q Find the volume of the solid under the graph of f x y over the region R bounded by the graphs of the indicated equations Sketch the region R The...
- Q Reverse the order of integration for the following integral Evaluate the integral with the order reversed Do not attempt to evaluate the integral in the original form 66 S S...
- Q Find the average value of the function f x y x y over the rectangle R x y 0 x 1 0 y 1 The average value is Simplify your...
- Q Evaluate the double integral Select the order of integration carefully the problem is easy to do one way and difficult the other 4y SS R 5xy4 1 x 2 4y...
- Q Use both orders of iteration to evaluate the double integral SSxy da R ydA R x y 0 x 4 0 y 8 What is the iterated integral that is...
- Q Evaluate the iterated integral 15x y4dy dx 4 1 S S 15x y dy dx 3 0 3 0
- Q Find the antiderivative Then use the antiderivative to evaluate the definite integral A S 2x 2y 4 dx 2 B 2x 2y 4 dx S 4 B A 2x 2y...
- Q Under ideal conditions if a person driving a car slams on the brakes and skids to a stop the length of the skid marks in feet is given by the...
- Q If an industry invests x thousand labor hours 11 x 21 and Sy million 1 y 2 in the production of N thousand units of a certain item then N...
- Q The Cobb Douglas production function for a particular product is N x y 40x0 6 0 4 where x is the number of units of labor and y is the...
- Q Find the values of x y and z that maximize xyz subject to the constraint 192 x 4y 16z 0
- Q Evaluate the following and use Mathematica to verify each 11 a lim x limfx y dxdy 00 b 88 SS 1 1 x y 00 y dxdy
- Q me of the solid A x 2 y x 0 y 9 about the y axis by rotating the region bounded by 429 disk washer or shell x 2 5
- Q 11 Find the volume of the solid obtained by rotating the region bounded by the following disk washer or shell A x 2 y x 0 y 9 about the...
- Q and 0 1 and sin B and find the following trig ratios Remember a picture of the angles is part of your work 2 c sin 0 and cos B...
- Q what does the following integral equal 6 d t dt 5 6 d t dt 12 and 5 L a 1 d t dt 8 2
- Q where c 10 8 6 m 2 4 6 8 10 12 The net signed area in the above graph can be written as d and b 1 2 3...
- Q Use the following figure which shows a graph of f x to find each of the indicated integrals a Note that the first area shaded red is 21 and the...
- Q Use the graph of f x shown below to find the following integrals 2 2 a f x b If the red shaded area in the graph has area A...
- Q 3 5 Suppose f x dx 9 35 x dx 4 f x dx a 3 f x dx 3 5 b 6f x 8 dx
- Q what does the following integral equal 41 6f x 3g x h x dx 59 41 59 41 59 41 f x dx 10 and g x dx 13 and...
- Q hat 1 2 dz 51 53 f x dx 1 11 Given that answer what is f f u du
- Q 4 Partition the given interval into the indicated number of subintervals 1 4 6
- Q 2 The position of an object at time t is given by s t Find the instantaneous velocity at the indicated value of t a s 1 3r 5 at...
- Q 3 Let h 0 be a fixed real number Consider the elliptic paraboloid given by the equation 4 8 9 0 h a Show that the horizontal cross section of...
- Q Find the volume of the solid that lies within the sphere y 16 above the zy plane and outside the cone 6
- Q Test the series for convergence or divergence 00 n 2 In n n Extra Credit 3 points if you verify convergence divergence using two different methods
- Q INT 3 x 1 20 y 2x 16 87 Find the area shown below Hint The indefinite integral of y 3 is y x C 10 x 4 y 3x...
- Q Find the average value of the function f x y z xyz on the unit sphere in the first octant Set up the surface integral of f over the first...
- Q Use NINT on a calculator to find the numerical integral of the function over the specified interval f x 12 e X The numerical integral of the function is approximately...
- Q Complete the table to show the approximate area of the region using n number of rectangles of equal width f x 1 x 2 3 y 6 4 2 4...
- Q 3 Given a Velocity function of v t motion from time t 0 to time t 2 find a Net Displacement of the particle b Total distance traveled for the...
- Q A heavy rope 60 ft long weighs 0 7 lb ft and hangs over the edge of a building 150 ft high Let x be the distance in feet below...
- Q Area between Curves Graph them first 1 If R is a region bounded above by the graph of the function f x by the graph of the function g x...
- Q For n since f x dx lim 510 13 is continuous positive and decreasing on 1 o we consider the following If the quantity diverges enter DIVERGES x10
- Q Use the integral test to determine whether the series is 00 n 1 7 n 1 Evaluate the following integral X x 1 Since the integral is not dx finita...
- Q 1 point The instantaneous rate of change of the value of a certain investment P is proportional to its value That is to say rP If r 6 and P...
- Q 1 point Solve the separable differential equation Subject to the initial condition y 0 9 y 11x6yvx 1 dy da 0
- Q MY NOTES Calculate the left Riemann sum for the given function over the given interval using the given value of n When rounding round your answer to four decimal places...
- Q Determine the area that is bounded by the graphs of the following equations Round your answer to three decimal places y 2x y 7x x
- Q Use a left sum and a right sum with rectangles of equal width for the given value of n to approximate the integral Round the answers to two decimal places...
- Q Evaluate the integral Assume that A is a real number and that A 0 0 L 3 x 3 3 dx
- Q 4 Q 5 Determine whether the improper integral dxdiverges or converges Evaluate the integral if it converges 8 points
- Q On a sketch of y e represent the left Riemann sum with n 2 approximatinge dx Write out the terms of the sum but do not evaluate it Sum
- Q and estimate the error in using it as an approximation to th Find the partial sum s of the series m sum of the series Round to five decimal places...
- Q For the following exercises find the volume generated when the region between the curves is rotated around the given axis 140 y 3x y 0 x 0 and x 2...
- Q 5 Let S be the surface obtained by rotating the curve r cos u z sin 2 It around the z axis Use the divergence theorem and an appropriate vector...
- Q The region R of the ry plane is bounded by the graphs of y x 1 and y 1 2 and the lines z 1 and x 4 A solid...
- Q cos x and y 1 2x 1 Find the area of the region between the curves y T Area between curves 1 2
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!