Problem #2/3 points total] 1. Graph 1lx2 -(22/2)x+Sy2 33 In your assignment submission, make sure that the scaling of both axes is the same (1 unit on the x-axis is the same length as 1 unit on t...
For this assignment, you submit answers by question parts Assignment Scoring Your best submission for each question part is used for you O-1 points SCalcET8 7.1.513.XP 7. Evaluate the integral. 1 ydy e5y Jo Need Help? Watch It Tal Read It Save Progress Practice Ano Submit Answer e Assignment Submission For this assignment, you submit answers by question parts. The nu Assignment Scoring Your best submission for each question part is used for your score 0 -1 points SCalcET8 7.1.030...
Find the arc length of the graph by partitioning the x-axis. {(x2 + 133/2, from * = 3 to x = 6 y = 4. [-/3 Points] DETAILS SULLIVANCALC2 6.5.029. For the function, do the following. y = 16 – x2, from x = 0 to x = 1 (a) Use the arc length formula (1), dx, to set up the integral for arc length s. SV 3+ [fc] 1) ox S = (b) If you have access to a...
1. Find the area between the graph x(t)=t^2, y(t)=t^2 + 2 and the x-axis when 0 is less than or equal to t and t is less than or equal to 4. 2. Find the surface area when the curve, x(t)=e^t + e^-t; y(t)=5 - 2t with 0 less than +t which is less than or equal to 3 and rotation about the x-axis. Please answer both problems if possible with work. Thank you in advance. 1. Find the area...
2. (18 pts) Consider an isosceles triangle that has its base on the x-axis. The apex of the triangle is at the point (O.y), where y > 0, and the remaining two vertices are at the points (x, 0) and (-x,0), where x > 0 (see figure). The area of the triangle is 120 in? This triangle lies inside a bigger isosceles triangle that also has its base on the x-axis. The apex of the bigger triangle is at the...
all answer Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
1. (20 marks) (a) (4 marks) Derive a formula for the surface area of an object that is created by rotating a function f(x) around: 1. the r-axis with y20 2. the y-axis with 20 You will need to clearly show how you have chosen to break the surface up into tiny pieces and what high school geometry is needed to find the area of these tiny pieces (b) (6 marks) Confirm that your formula provides the expected surface areas...
2.1 In this problem we find the electric field on the axis of a cylindrical shell of radius R and height h when the cylinder is uniformly charged with surface charge density . The axis of the cylinder is set on the z-axis and the bottom of the cylinder is set z = 0 and top z = h. We designate the point P where we measure the electric field to be z = z0. (See figure.) You will use...
QUESTIONS 13-18 PLEASE! Maximum Storage Area DUE DATE: This project is worth 10% of your Unit 2 grade. Please review the Project FAQ handout for format and process. Problem Situation A construction company wishes to build a rectangular enclosure to store machinery and equipment. The site selected borders on a river that will be used as one of the sides of the rectangle. Fencing will be needed to form the other three sides. The company foot high chain-link fencing. The...
Problem 2. (1 point) Let F(x) = ss flodt, where f(t) is the graph in the figure. Find each of the following: A. F(2) = 0 B. F'(5) = 3 6 7 C. The interval (with endpoints given to the nearest 0.25) wfſero F is concave down: Interval (1.25,6) (Give your answer as an interval or a list of intervals, e.g. (-infinity,8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where F takes its maximum...