The graphs of the functions look like this
We find the points of intersection and then find the Area enclosed
Find the area enclosed by the parabola y2-3y+4 and the line x 2y+4 ts where the parabola and the line intersect. Gi...
In the graph to the right, the equation of the parabola is x= region (y-4)2 4 and the equation of the line is y = 7 - x. Find the area of the shaded Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes to complete your choice (Type exact answers.) OA SO dy OB. So dx The area of the shaded...
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...
The parametric equations where 0 tl describe the line segment that joins the points P1(x1, y and P2(x2, y2) Use a graphing device to draw the triangle with vertices A(1, 1), B(3, 4), C(1,7). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma- separated list of equations. Let x and y be in terms of t.) A to B B to C A to C
The parametric equations where 0 tl describe the line...
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...
QUESTION 2 - 1 POINT Find the intersection points of the parabola y = -0? - 2 and the line-x+y= 4. Give your answer as two ordered pairs separated by a comma. For example, if you found that the solutions were (1,2) and (3, 4) you would enter (1,2), (3,4).
4. (a) Find the area of the region enclosed by the graphs of f(x) = 4.0 and g(x) = ". (6) The velocity of a dragster 1 seconds after leaving the starting line is v(t) = 10te- ft/sec What is the displacement of the dragster after 6 seconds?
3. Find m for which the following lines do not form a triangle. x+2y 5D, 2x-3y-4 .2, mx+y 0 [Sol] Since line 3 passes through the origin, lines D, 2 and 3will not form a triangle in the following three cases: wor When D and 3 are (i) parallel. doa When 2 and 3 are (ii) parallel. When D, and 3 all intersect at one point. (ii Therefore, from ( i ), (ii) and (iii), m 4. Find a for...
1 point) Sketch the graph of the function y = x(4-2) - 103 In x. Indicate the transition points (local extrema and points of inflection) (Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list of e-coordinates. Enter NULL in answer field if there is no such point.) Local maximum at = help (fractions) Local minimum at I= Inflection at I= (1 point) Sketch the graph of the function y = 81x +...
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+...
#2 g and #3&4 please!!!
#2 For each of the following, first sketch (roughly) the region enclosed by the given curves, labelling any important points of intersection, then find the area of the shaded region. WARNING: Make sure that you give a solid attempt and a guess to the graph BEFORE looking at the answers, or you will likely find yourself unable to do these problems on a test! (a)--(-2)2,--- (h) 4x + y2 = 12, *= fety-12-22 - x²6...