00 y=2x What is the area of the region shown by green color given in the...
can younplease answer all of these i need it for a review
please
u-x+y, V--2x+y S S 5ydx dy R where is the parallelogram bounded by the lines y=-x+1, y=-x +4, y = 2x + 2, y = 2x + 5 o Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral. The coordinate axes and the line § 35 dy dx x/3 5(1 - x/3) dy dx °? I ddy of...
Question 15 The curve with the equation y = 3x + 2x + 5 is shown below. (-1,0) 0 x The curve cuts the x axis at the point A(-1,0) and cuts the y axis at point 8 a) State the coordinates of Point B and hence find the area of the triangle AOB (3 marks) b) Find 3x5 + 2x + 5 dx (3 marks) c) Find the area of the shaded region bounded by the curve and the...
Find the area of the region bounded by the graphs of the given equations. y=x, y=24/7 Set up the integrals) that will give the area of the region. Select the correct choice below and fill in any answer box(es) to complete the choice ОА dx OB The area is (Type an integer or a simplified fraction)
The area of the region enclosed by the curves y = 2x, 3y = X and 2y = -x+5 is none of these o o 3,5 0 2.5 0 o o
1. Find the area under the graph of the following function over the given interval. y = 6- x2 [-1,2] 2. Evaluate. S(x2 + x – 4)dx 3. Find the area of the region bounded by the graphs of the given equations. y = x2 – 2x y = 2 - x
8. Consider the region bounded by the y = x2 - 2x + 1 and y = 1 + 2x - x? Find the area of the region. a. b. Find the volume of the solid when the region is rotated about the x-axis. c. Find the volume of the solid when the region is rotated about the y-axis. d. Find the volume of the solid when the region is rotated about the line x = 5. e. If the...
Peer Leading Exercise 7 Spring 2019: Area Under the Given a function (x), the area under the curve is the area of the region bordered by the x -sxis and the graph of y(x). Area under the curve is somehow related to anti-derivatives. We wish to Example: Let f(x) -10-2x. Find the area under the curve between x 0 and x graph to help you visualize what is going on. Do you recognize the shape? 5. We include a 2...
Which expression represents the area of the region bounded by y = 5x – x2 and y= 2x? O None of the other choices 5°(+32 + xº)da $*+32 + 2?) de (3x - ² de (32 – 22) de
1. (5 points) Find the area of the region enclosed by a parabola y x2 - 4x - 5 and a line y = x-5. To get full credit, you must draw a picture of the problem first, then find the upper and lower bounds before finding the area. (2 42 points each) Use appropriate logarithmic properties to make the following equation easy to dy or you differentiate. Find (dx and use trig identities to simplify to the simplest answer...
Sketch the region R whose area is given by the iterated integral. 8 dx dy 9 B B 7 7 00 6 5 5 4 4 3 2 2 1 1 1 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 9 . В 8 7 7 6 6 5 5 4 3 3 2 2 1 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 9 Change...