Find the net area and the area of the region bounded by y= 8 cos x and the x-axis between x--2 and x = π. Graph the function and find the region indicated in this question The net area is(Simplify yo...
Find the area of the region bounded by the graph of f(x) = x(x + 1)(x - 2) and the x-axis on the interval [ -1,2). The area is (Simplify your answer.)
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+...
Question 3: Find the area of the region bounded by the curves y = cos (x), y = 1 – cos (x), x = 0, and x = ſt.
3. (10 pts) Find the area of the region bounded between y = xe-*?, , y = x + 1, x = 2 and the y-axis. Note that the graph of the region is provided below. You can leave your answer in terms of e. y=x+1 x2 X-0 0 0.5 1. 0 dy Use the Fundamental Theorem of Calculus to find dx for y = = L* sin (t2)dt.
Find the area of the region bounded by the graph off and the x-axis on the given interval. f(x) = x² – 35; [0,1] The area is (Type an integer or a simplified fraction.)
5. Find the area of the region bounded by (1/(x^2)) - 1, the x-axis, between x = 1 and x = 2. Your answer should be correct to 2 places after the decimal point. The area is
9. Determine the area of the region bounded by the graph of f(x) = sinº(5x) cos(5x) and the x-axis between x = -0.2262 and x = 0.2953, giving your answer to 4 decimals. A) 0.0584 B) 0.0634 C) 0.0684 D) 0.0734 E) 0.0784
5. (12 pts.) Consider the region bounded by f(x) 4-2x and the x-axis on interval [-1, 4] Follow the steps to state the right Riemann Sum of the function f with n equal-length subintervals on [-, 4] (5 pts.) a. Xk= f(xa) (Substitute x into f and simplify.) Complete the right Riemann Sum (do not evaluate or simplify): -2 b. (1 pt.) lim R calculates NET AREA or TOTAL AREA. (Circle your choice.) Using the graph, shade the region bounded...
Approximate the area of the region bounded by the graph of f(t) f(t) cos(t/2-7t / 8) (t/2-7T/8) and the cos t-axis on [7T/8,15/ 8] with n 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure) 0.5 27 2 The approximate area of the region is (Round to two decimal places as needed.) N| a. Approximate the area of the region bounded by the graph of f(t) f(t) cos(t/2-7t / 8) (t/2-7T/8) and...
1. Sketch the region bounded by the graph of y = – and the x-axis over the interval [1, 3) and then find the area of the region. (10 points)