6,137 Answered Questions for the topic calculus

12d

#### I need help on this question for calculus please!

t 0 2 4 6 8 10 12 14T 73 73 70 68 73 80 86 89This table is showing the temperature (t), in Fahrenheit, in hours on March 15 midnight in Phoenix. These values are recorded every two hours. Estimate... more

12d

#### Need help of max and min calculus, thank you

Which one of the following statements is true?Options: If f is continuous on (a, b), then f attains an absolute maximum value and f attains an absolute minimum inside the interval (a, b). If f '(x)... more

12d

#### Need help of max and min calculus, thank you

Find the x-coordinate of the point(s) of inflection on the graph of y = x3 - 12x2 - 5.Options: x = -2 x = 4 x = 2 x = 12

12d

#### Need help of max and min calculus, thank you

What are the critical values on the graph of y = x3 - 12x + 1?Options: x = -2, 0, 2 x = -2, 2 x = -4, 4 x = -3.42, 0, 3.42

12d

#### Need help of max and min calculus, thank you

In which interval is the function f(x) =  - x + 3 increasing?Option: (-∞, -1) only (1, ∞) only   (-∞, -1) U (1, ∞) (-1, 1) only

12d

#### Need help of max and min calculus, thank you.

The maximum value of f(x) = x3 - 3x2 - 9x + 2 on the interval [0, 6] isOptions: 2 56 135 There is no maximum on [0,6]

12d

Evaluate Options: 1 1/5 5 -5

12d

For which pair of functions f(x) and g(x) below will the  ?Options:  f(x) = 10x + e-x; g(x) =   f(x) = x2; g(x) = e-4x  f(x) =(Lnx)3; g(x) =   f(x) =  ; g(x) = e-x

12d

Find the exact value of the following limit:

12d

If f(x) = |(x2 - 8)|, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem?Options: three two one none

12d

#### Please hep me on calculus: theorem

If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that Options: f(c) = 0 f '(c) = 0 f (c) = 5 f '(c) = 5

13d

The height of a cylinder with a fixed radius of 10 cm is increasing at the rate of 0.5 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is... more

13d

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when... more

13d

The area A = πr2 of a circular water ripple changes with the radius. At what rate does the area change with respect to the radius when r = 4ft? Options: 16π ft2/ft 8π ft2/ft 8 ft2/ft 4π ft2/ft more

13d

If y = 2x3 - 4x and  , find  when x = 1. Give only the numerical answer. For example, if  = 3, type only 3.

13d

The cost in dollars of producing x units of a particular brand of notebook is C(x) = x2- 400. Find the average rate of change of C with respect to x when the production level is changed from x =... more

13d

A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2 + 550.What is the velocity of the ball after 3 seconds? Include units.

13d

Find

13d

Use the graph below to list the x value(s) where the limits as x approaches from the left and right of those integer values(s) are not equal.

13d

#### I need help with calculus please!

If f(x) is discontinuous, determine the reason.Options: f(x) is continuous for all real numbers The limit as x approaches 1 does not exist f(1) does not equal the limit as x approaches 1 f(1) is... more

13d

The local linear approximation of a function f will always be less than or equal to the function's value if, for all x in an interval containing the point of tangency,Options: f ' < 0 f ' >... more

13d

Which of the following statements is/are true? (5 points)I. If f '(c) = 0, then f has a local maximum or minimum at x = c.II. If f is continuous on [a, b] and differentiable on (a, b) and f '(x) =... more

13d

Given the relationship 2x2 + y3 =10, with y > 0 and  = 3 units/min., find the value of  at the instant x = 1 unit.Options: -9 units/min - units/min -13/2 units/min -1/9 units.min

13d

Find the values of m and b that make the following function differentiable.

13d