Please do all three part of these questions. Thank you for your help. 30. For all values of x, the continuous function f is positive and decreasing. Let g be the function given by8(x) = f(t) dt. Which of the following could be a table of values for g ?(A)g(x)(B)8(x)(C)8(x)(D)8(x)(E)8(x)1-21-211113222231333-23-1231. The volume of a certain cone for which the sum of its radius, r, and height is constant is given byV =ar (10 – r). The rate of change of the radius of the cone with respect to time is 6. In terms of r,what is the rate of change of the volume of the cone with respect to time?20tr -34(C)(D) 16är –ar– 6ar²(A) -24ar(В) блr(E) 40ar –32. A cup of tea is cooling in a room that has a constant temperature of 70 degrees Fahrenheit (°F). If the initialtemperature of the tea, at time t = 0 minutes, is 200°F and the temperature of the tea changes at the rate-0.053tR(t) = -6.89edegrees Fahrenheit per minute, what is the temperature, to the nearest degree, of the teaafter 4 minutes?(A) 175°F(B) 130°F(C) 95°F(D) 70°F(E) 45°F

Name: Please do all three part of these questions. Thank you for your help.
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please do all three part of these questions. Thank you for your help. 30. For all values of x, the continuous function f is positive and decreasing. Let g be the function given by8(x) = f(t) dt. Which of the following could be a table of values for g