Find the volume of the solid generated by revolving the shaded region about the given axis. About the y- axis 5- 4+ 3+ 2+ 1 4. 5 625 TU 25 250 100

What is the image of (-6,0)(−6,0) after a dilation by a scale factor of \frac{1}{3}31​ centered at the origin?

SOLVE STEP BY STEP IN DIGITAL FORMAT Calculate the area of the region indicated. Region comprised by the graphs of f(x)=(x^2) + 2, g(x)=-x+1 with the vertical lines x=1 and x=2, plot the graphs

Question 3 Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108 cu. inches in square inches. (A) 125.54 (В) 127.50 (c) 129.50 D) 123.50

Point M(-6,8) is dilated from the origin with a scale factor of 1/2. What is the coordinate of M'?

Show your complete the: If 23 cubic meters of water are poured into a conical vessel, it reaches a depth of 12 cm. How much water must be added so that the length reaches 18 cm? a. 95 m^3 b. 100 m^3 c. 54.6 m^3 d. 76.4 m^3

15 ft. 25 ft: 40 ft 40 ft What is the volume of the square pyramid above given v = (1/3)(B)(h) ? 100 ft^3 200 ft^3 800 ft^3 O 8000 ft^3

Describe the Dilation of Quadrilateral A to Quadrilateral B pictured below: B(-9,6) IMAGE A E(-10, -3) D(-5, -1) C(-5, 6) B'(-4.573) IMAGE B E'(-5, -1.5) (-2.5, 3) D'(-2.5, 0.5)

A tank is filled with a fluid with density 54 kg/m^3 The cross-section of the end of the tank is given by the shaded region shown below that is bounded by the y-axis, the function written as y = f(x) or x = g(y), and the line y = 12 as shown in the image below. (Note: Assume c = 5m and d = 12m.) (Image 1 see screenshots) The tank extends back a length of 9 meters as shown in the image below: (Image 2 see screenshots) Our goal in this problem is to compute the work required to pump the liquid 4 meters over the top edge of the tank: Report the volume, force and work for a slice: Volume of a slice: [] Force for a slice: [] Work for a slice: [] Report the integral for the work. Note: a and b are the lower and upper limits of the integral: b = [] work = integral [] dy a = [] Your answer will involve f(x) or g(y) (or possibly both). You will not be able to actually evaluate the integral. Inlude a drawing with the slice (dimensions labeled) in your work. Is there a tank of the same size and…

Which equation represents the outer boundary of the area that could feel the earthquake? O (x+3)² + (y-2)² = 52 O (x-1)² + (y + 4)² = 52 ○ (x+3)² + (y-2)² = 100 O (x-1)² + (y+4)² = 100