Find the sum of the areas of the shaded rectangles under the graph. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.] The sum of the areas of the rectangles approximates the area under the curve, though not very well. Notice that every rectangle extends above the curvef(x) = 8x,and hence the rectangles provide an overestimate of the area.To find the areas of the rectangles, we recall (or look up in the text) the formula for the area of a rectangle:A = where h is the height and w is the width.We will need the width and height of each rectangle. An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is changing at the rate of-9e -0.2tdegrees Fahrenheit per hour after t hours. The original temperature of the tap water was 60 degrees.(a) Find a formula for the temperature of water that has been in the freezer for t hours.T(t)=(b) When (in hours) will the ice be ready? (Water freezes at 32 degrees. Round your answer to the nearest hour.)t =hours

Question

Find the sum of the areas of the shaded rectangles under the graph. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.] The sum of the areas of the rectangles approximates the area under the curve, though not very well. Notice that every rectangle extends above the curvef(x) = 8x,and hence the rectangles provide an overestimate of the area.To find the areas of the rectangles, we recall (or look up in the text) the formula for the area of a rectangle:A =  where h is the height and w is the width.We will need the width and height of each rectangle. An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is changing at the rate of-9e -0.2tdegrees Fahrenheit per hour after t hours. The original temperature of the tap water was 60 degrees.(a) Find a formula for the temperature of water that has been in the freezer for t hours.T(t)=(b) When (in hours) will the ice be ready? (Water freezes at 32 degrees. Round your answer to the nearest hour.)t =hours

Accepted Answer

Answered: Image /qna-images/answer/6e72540b-1f4b-4baf-84ec-8a5b005e412b.jpg