Math IA Exam 4 2. Find the area beneath the curve y x2 2 from x--1 to x3 by setting up an appropriate limit and eva...
Area between the curve problems
1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y
1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y
Find the area under the curve y = 25/x3 from x = 1 to x = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000. t = 10 t = 100 t = 1000 Find the total area under this curve for x > 1.
only number 5-7. Just set up no solve. show all work
1) Rotate the area bound by f(x): 2x + 1, y : O, x-1, and x : 4 around the x- 2) Rotate the area bound by y : x2 , y :0, and x-2 around the y-axis. #3-7: Draw a graph and setup the integral, including boundaries for determin the solid created. You do NOT need to evaluate the integrals. 3) Rotate the area bound byy and ya...
10 Given the area under the curve y = x3 on the interval 1 < x < b is 600. Use the Fundamental Theorem of Calculus to find b.
Find the area beneath the curve g(x)4x+6x2 from x 2 to x 3
Exam#2 Math185_GWC, Spring 2019 Lshells (for all parts a, b and e) to find the v -x2 + 1 , y-19-х", x-0, fix > 0 5) (16 points) Use the method of evlindrical shells (for all partis 19Xx the solid obtained by rotating the region bounded by y about on bounded byay -llparts y b and c to find (5 points) a. the y-axis. (Set up the integral to find the volume, but do not evaluate) (4 points) the line...
1. Use the method of cylindrical shells to find the volume of the following solids rotation (i) Spin the region bound by y -Vx,y 0, x-1 around the y-axis; (ii) Twist the area bound by x -1+(y-2)2 andx- 2 about the x-axis; (iii) Rotate the region between y - x2 and y -6x-2x2 around the y-axis; (iv) Twirl the space between y V and x 2y about the line x 5 2. Use both methods discussed in class to compute...
1. Set up, but do not evaluate, an integral to find the area enclosed by the x-axis and the [x = 1 + et curve ly = t-t2 2. {*5+?2t Osts2 y = VE (1) Find the equation of the tangent line at the point where t = (2) Set up, but do NOT evaluate, an integral to find the area of the surface obtained by rotating the curve about the y-axis. 3. Set up but do NOT evaluate an...
[4] Sketch the region bounded above the curve of y = x2 - 6, below y = x, and above y = -x. Then express the region's area as on iterated double integral ans evaluate the integral. -4 -3 -2 -1 0 1 2 3 4 [5] Find the area of the region bounded by the given curves x - 2y + 7 = 0 and y2 -6y - x = 0.
EXAMPLE 4 Then x2 + x-5 Let y = x3 + 6 2+x-5 y' - (x2 + x - - 5)( ++6 (x3 + 6)2 + 6 6)(2x + 1 +(x2+x - 5)( 3r? (x3 + 6) (+ 2x + 1 | ) - ( 374 +373 – 15r2 ) (x3 + 6)2 -2x3 +15x2 + 8x+4 (x3 + 5)2