1. [415 Points] DETAILS PREVIOUS ANSWERS SESSCALCZ 6.6.003.M|. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the area under the curve y = 371'X'3 from x = 1 to X = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000. t = 10 13.315 .y t= 100 13.49315 ,y t: 1000 13.4993 3' E Find the total area under this curve for x 2 1. 13.5 my 4. [1!2 Points] DETAILS PREVIOUS ANSWERS SESSCALCZ 7.1.031. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The birth rate of a population is Mr) = 250090.024: people per year and the death rate is d(r)= :L460e0-01:It people per year, nd the area between these Curves for 0 s t s 10. (Round your answer to the nearest integer.) N 1233?r X people J What does this area represent? "his area represents the number of births over a 10-year period. "his area represent the number of children through high school over a 10year period. "his area represents the increase in population over a 10-year period. "his area represents the number of deaths over a 10-year period. OOOOO "his area represents the decrease in population over a 10-year period. Need Help? _' 7. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.1.515.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A cross-section of an airplane wing is shown. Measurements of the thickness of the wing, in centimeters, at 17-centimeter intervals are 5.7, 19.9, 26.4, 29.0, 27.8, 27.7, 23.4, 20.6, 16.1, 8.7, and 2.5. Use the Midpoint Rule with n = 5 to estimate the area of the wing's cross-section if a = 170. (Assume the thickness of the edges is nonzero. ) 4224 x cm2 a cm Need Help? Read It Watch It Submit Answer 8. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.1.522.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximative rectangle. y = 3 sin -4 , y = 3x y - X 0.2 0.4 0.6 0.8 1.0 1.2 5 -1 4 -2 3 -3 2 -4 -5 X O-6 O 0.2 0.4 0.6 0.8 1.2 1.4 4 2 2 - X X -1.5 -1.0 -0.5 0.5 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5 -2 -2 -4 -4 O - 6 Find the area of the region.1. [2!4 Points] DETAILS PREVIOUS ANSWERS SESSCALCZ 7.3.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let S be the solid obtained by rotating the region shown in the figure about the yaxis. (Assume a = 2 and b = 1.) y=ar(xb)2 Sketch a typical approximating shell. What are its circumference c and height h? (200 : 2M #9 hex) = 9x(x e 1)2 x Use shells to find the volume V of 5. iPIease try again. Recall that the circumference of each shell is simply 2n multiplied by the radius of the respective shell, and the .radius is the distance from the y-axis. The height of each shell is given by the Function of the curve. -Let the vertical bounds of the solid be x = a and x = b. If we let c and h be the circumference and height of each shell, 5 b Erespectively, then the volume of the solid is f (c)(h)dx. I a Need Help