OC userin Calculus·20 Jul 2019 HW 15-7.1b: Problem 4 Previous Problem List Next (1 point) Suppose that f(t) dt = 21 . Calculate each of the following. 0 0.5 A.I. f(2t) dt = f(1-4t) dt = f(2-2) dt = 0.25 B. c. | 0.5 Note: You can earn partial credit on this problem. Submit Answers Preview My Answers
OC userin Calculus·25 Oct 2019 å¸ math-webwork2.unledu/vvebwork2/106-Fall-2017/HW15 7.1b/1/7effectiveUser-69305815&use MATHEMATICAL ASSOCIATION OF AMERICA Kwebwork /106-fall-2017 / hw 15-7.1b/1 HW 15 -7.1b: Problem 1 Previous Problem Liet Next (1 point) Find the following integral. Note that you can check your answer by differentiatio (t +3)2 t3 dt= Preview My AnswersSubmit Answers
OC userin Calculus·21 Aug 2019 (2) bzcos(z), where C is the line segment from 2 to i. (3) tan(iz)dz, where C is the circle defined by la-21-1 B. Determine all the valucs of the real number R for which we can apply Cauchy Theorem to inte- grate: answer 22 +3z-1 dz, where CR is circle of radius R centered at the origin. Clearly justify your
OC userin Calculus·21 May 2019 Question 8 (a) Evaluate the integral c y2 d+ry dy where C is the rectangle with vertices 0,0) , (4,0), (4,1) and (0, 1) crossed in that order. (b) Verify Stokes, Theorem for the vector field F(x, y, z) = (3y,-zz,yz*) where s is the surface of the paraboloid 2z = x2 + y2 bounded by z z = 2 is its boundary 2, and the circle C at (c) Evaluate FdS for S the unit sphere centered at the origin and F the vector field given by F(x, y, z) = (2z,y,22).
OC userin Calculus·21 Feb 2019 Let c= 122 Find the center of mass of the part of the sphere x2+y2+z2c1 that lies in the first octant, given that the density Ï (x, y, z)-xy,2(z + c) mass.
OC userin Calculus·11 Nov 2019 Q5. Solve dy dt =-tan dt2 Hint: A simple substituion can make your life easier here!
OC userin Calculus·20 Oct 2019 Please answer Question 1. [8 marks] A freshly brewed cup of coffee has temperature 95°C in 20°C room. Five minutes later its temperature is 90°C. How long will it take for the coffee to cool off to 70°C?
OC userin Calculus·7 Oct 2019 (1 point) A carpenter has been asked to build an open box with a square base, where an open box means a box without a top. The sides of the box will cost $6 per square meter, and the base will cost $3 per square meter. What are the dimensions of the box of maximal volume that can be constructed for $144 ? If x is the length of one of the sides of the base and z is the height of the box. Find a function f(x) for the volume of the box. NOTE: The function should just be in terms of x. f(x) = Let x* and z* be the dimensions that maximize the volume of the box. ** = z* = | Click here if you cannot come up with an equation (you will lose 50% of your points if you do)
OC userin Calculus·15 Apr 2019 A boat on the the ocean is 3 km from the nearest point on a straight shoreline; that point is 10 km from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. If she walks at 5 km/h and rows at 4 km/h. How far will the point on shore be from the restaurant if she plans to minimize her total travel time? Distance from restaurant = Click here if you cannot come up with an equation
OC userin Calculus·15 Jan 2019 (1 point) Consider the function f(x) 2x + 5 If D is the distance from any point on f(x) to the origin: D= At what x value is f(x) closest to the origin? ·r =
OC userin Calculus·19 Mar 2019 (1 point) A boat leaves a dock at 2:00 PM. and travels due south at a speed reaches the same dock at 3:00 PM. How many minutes past 2:00 PM. were the boats closest together? of 5 km/h. Another boat has been heading due east at 30 km/h and minutes