3. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.4.0 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find two unit vectors orthogonal to both (5, 2, 1) and (-1, 1, 0). 51 51 /51 (smaller i-value) 5 V51 (larger i-value) X Need Help? Read It Submit Answer 4. [-/1 Points] DETAILS SESSCALC2 10.4.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the parallelogram with vertices A(-2, 5), B(0, 8), C(4, 6), and D( Need Help? Read It Watch It Submit Answer 5. [0/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.4.0 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the points below. P(-1, 2, 1), Q(0, 6, 2), R(3, 2, -1) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, X (b) Find the area of the triangle PQR. 264 X Need Help? Read It6. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.4.0 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 4, 4), b = (-1, 1, 3), c = (5, 1, 5) 102 X cubic units Need Help? Read It Submit Answer 7. [1/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.4.0 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the scalar triple product to determine whether the points A(3, 2, 2), B(4, -4, same plane. Yes, they lie in the same plane. No, they do not lie in the same plane. Need Help? Read It Submit Answer 8. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.4.0 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A bicycle pedal is pushed by a foot with a 60-N force as shown. The shaft of the pe torque about P. (Round your answer to one decimal place.) 51.96 X N . m 60 N 70 10 Need Help? Read It Watch It Master It10:33 .1 5G D MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that f(1) = 1, f(4) = 6, f '(1) = 3, f '(4) = 3, and f" is continuous. Find the value of xf "(x) dx- 4 Need Help? Read It Watch It Submit Answer 7. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 6.1.514.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the indefinite integral. (Use C for the constant of integration.) x 3 V 1 + x 2 dx Illustrate, and check that your answer is reasonable, by graphing both the function f and its antiderivative F (take C = 0). y y - X -4 -2 2 -4 -2 2 -2 F -2 f-41 O O F F L X LX -4 -2 2 -4 -2 2 4 -2 -2 -4 -4 O Need Help? Read It Watch It Submit Answer Home My Assignments + Request Extension AA webassign.net C10:33 .1 5G D 4. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.1.031. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The birth rate of a population is b(t) = 2500e0.024 people per year and the death rate is d(t)= 1460e0.017t people per year, find the area between these curves for 0 S t s 10. (Round your answer to the nearest integer.) 12336 X people What does this area represent? This area represents the number of births over a 10-year period. This area represent the number of children through high school over a 10-year period. This area represents the increase in population over a 10-year period. This area represents the number of deaths over a 10-year period. This area represents the decrease in population over a 10-year period. Need Help? Read It Submit Answer 5. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.1.035. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the values of c such that the area of the region bounded by the parabolas y = 25x2 - c2 and y = c2 - 25x2 is 512/15. (Enter your answers as a comma-separated list.) C = (-4,4) X Need Help? Read It Watch It Submit Answer 6. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.1.501.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 = x2 - 4x, y = 2x +7 4 10 10 -5 10 -20 -5 -10 -30 -15 -40 -20 -50 O -25 O 60 E 30 20 20 10 10 5 - X - 2 4 5 -10 Find the area of the region. 89.33 X :Enhanced Feedback : Please try again. Start by finding the points on which the curves intersect. "Recall that the area A bounded by the curves y = f(x), y = g(x), and the lines x = a, x = b, where f and g are continuous and f(x) > g(x) for all x in [a, b], is A = / [f(x) - 9(x)]dx. Need Help? Read It webassign.net10:34 .1 5G Submit Answer 7. [-/1 Points] DETAILS 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.) cm 2 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 approximationg rectangle. y = 3 sin _x ), y = 3x - X 0.2 0.4 0.6 0.8 1.0 1.2 1.4 - 1 -21 CO -3/ 2 -4 1 -5 -X O-6/ O 0.4 0.6 0.8 1.0 1.4 4 4 2 2 -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 - 6 O