A.P. Calculus Area & Volume Takehome - 40 pts Name Pd. 1) Find the area between the curves. Show the graphs of the curves showing your window. You must show the algebraic work in finding their intersections. Write the integral that represents the area. You may then use the calculator to find the answer to 3 decimal places. (4 pts.) y-16-4x-x2 and y=4-3x Integral Scale [, ] [ ] Area = 2) Find the area between the curves on the interval [0, 1]. Show the graphs in the window below. You may use the calculator in finding their intersections. Write the integral that represents the area. You may then use the calculator to find the answer to 3 decimal places. (5 pts.) Integral- y sinx and y = cos 4x Scale [0, 1] [-1, 1] Area = 3. Find the area between the following function and the line tangent to the curve at the given x-value. Work must be shown in finding the tangent line and the intersections. Calculators may be used to verify answers. (5 pts.) y = (1-x)³ at x=-1 Integral = Area = a

Q: Find the scale factor of the dilation of figure A to Figure B. K= A 員■NO AB

A: Given that: figure A has been dilated to figure B.

Q: Find the area between the curves. First find where the functions intersect x=-5, x=2, y=6x, y=x²-7…

A: The region bounded by the curves x=-5, x=2, y=6x, y=x2-7. We have to find the area of the region.

Q: Find the area between the graph of y= - 9x³ and the x-axis on the interval [-2, 2]. Write the exact…

A: Given the graph of y=-9x3 and the x-axis on the interval -2, 2.

Q: PROBLEM: The area in the first quadrant bounded by x2-8y, the line x=4 and x-axis is revolved about…

A: Use washer method

Q: Find the area between the curves y=|x- 4 and y=-+4 . y=\x=4| 2 O 120 sq. units O 48 sq. units. 64…

A:

Q: Find the area of the shaded region. The image is not y =

A: Given query is to find the area of the shaded region from the given diagram where c is to be taken…

Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

A:

Q: Match each P-value with the graph that displays its area without performing any calculations.…

A: P=0.3050 P= 0.0104

Q: Find the area between the graph of y = -7x³ and the x-axis on the interval [-2, 2]. Write the exact…

A: Note that the area the graph of y=f(x) and the x-axis on the interval [a,b] is given by the integral…

Q: 15 and the x-axis on the interval [3, 7] using the left endpoints of the Use four rectangles to…

A: For the area under the curve y = f(x) from x = a to x = b, if we partition the interval (a, b) in n…

Q: Use a graphing calculator to find where the curves intersect and to find the area between the…

A: Given curves y=ex,  y=-5x2-8x

Q: Find the area of the shaded region. -3 Am -1 y 3 x=y²-2² -3 y = 1 x = e 1 2 y = -1 3 4 X

A: Area of bounded region is calculated using double Integration is shown in next step