f(x) = x2 − 1 Find the area of the region bounded below by the graph of f and above by the x-axis from x = −1 x = 1.
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5. Find the area of the region bounded by the graph of f(x) = x2 - 25 and the x axis on the interval (2,4).
B and C Please! Rate for sure Letf be the function given by f(x)--16x2 +64x and let line l be the line tangent to the graph off atx-2, as shown in the figure to the right. Let R be the region bounded by the graph of f and the x-axis and let S be the region bounded by the graph of f line I, and the x-axis. a. Find the equation of line 1 C2- 64+61-12 - 72 C2,72 b....
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)
486 (1 point) Sketch the first quadrant region bounded below by the graph of g(x) = - apri or 9(2) = about the y-axis generates a solid whose volume is 2, above by f(x) = 12 – 100 . 6, and at the right by x = 1. Rotating that region (1 point) Find the volume of the solid obtained by rotating the region bounded by the curves y=x?, x=2, x= 3, and y=0 about the line x = 4....
1. Find the area under the graph of the following function over the given interval. y = 6- x2 [-1,2] 2. Evaluate. S(x2 + x – 4)dx 3. Find the area of the region bounded by the graphs of the given equations. y = x2 – 2x y = 2 - x
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+...
Q3 1. For the following, in (a) sketch the graphs of the functions and in (a) and (b) find the areas as indicated (a) the area bounded by y = f(x) = x2 - 4x + 5 and y = g(2) = 2x - 3. (b) the area of the region that is common to r= 3 cos(0) and r = sin(). See sketch below. 2. Consider the region bounded by y? = 4, y = 2 and r =...
Let f(x) k sin(kx), where k is a positive constant (a) Find the area of the region bounded by one arch of the graph f and the x -axis. b) Find the area of the triangle formed by the x -axis and the tangents to one arch nts to one arch of f at the points where the graph of f crosses the x -axis Let f(x) k sin(kx), where k is a positive constant (a) Find the area of...
show all work 1. Find the area of the region bounded by the curves below. Sketch a graph of the region first. a. x = y2, x = VD, y = 0 b. y = x2 – 4, y == x2 + 4
Define R as the region that is bounded by the graph of the function f(X)=x^3/6+2, the xaxis, x=-1, and x=1. QUESTION 9 · 1 POINT 23 Define R as the region that is bounded by the graph of the function f(2) +2, the x-axis, x = -1, and x = 1. Use 6 the disk method to find the volume of the solid of revolution when R is rotated around the z-axis. Submit an exact answer in terms of ....