 604 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

04/30/20

#### I really need help with my homework. Thank you!

The graph below shows the graph of f (x), its derivative f ′(x), and its second derivative f ″(x). Which of the following is the correct statement? Options: 1)  A is f ′, B is f, C is f... more
Ap Calculus Math Calculus

04/30/20

#### I really need help with my homework. Thank you!

Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x = 2. There are horizontal tangents at x = -1.5 and x = 1.5. Which of the following statements is... more
Ap Calculus Math Calculus

04/29/20

#### Help needed with Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 2 - x2 on the interval  . If so, find the x-coordinates of the point(s) guaranteed by the theorem. Options: 1)  No,... more
Ap Calculus Math Calculus

04/29/20

#### Help needed with Calculus

Find the average value of  over the interval [0, 4].Options: 1)  1.61 2)  0.40 3)  4.83 4)  -0.20
Ap Calculus Math Calculus

04/29/20

#### Help needed wtih Calculus

The base of a solid in the xy-plane is the circle x2 + y2 = 16. Cross sections of the solid perpendicular to the y-axis are semicircles. What is the volume, in cubic units, of the... more
Ap Calculus Math Calculus

04/29/20

#### Help needed with Calculus

Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = ex, x = 2, and y = 1 is revolved around the line y =... more
Ap Calculus Math Calculus

04/29/20

#### Help needed with Calculus

Find the area of the region bounded by the graphs of y = -x2 + 5x + 2 and y = 2.﻿Options: 1)  30.833 2)  11.333 3)  40.883 4)  20.833
Ap Calculus Math Calculus

04/28/20

#### Need help understanding

Which of the following differential equations is consistent with the following slope field? Options: 1)  2)  3)  4)
Ap Calculus Math Calculus

04/28/20

#### Need help understanding

The differential equation  (5 points)I. produces a slope field with vertical tangents at y = 3II. produces a slope field with vertical tangents at x = -1III. produces a slope field with rows of... more
Ap Calculus Math Calculus

04/28/20

#### Need help understanding

The temperature of a pot of coffee varies according to Newton's Law of Cooling: , where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the water... more
Ap Calculus Math Calculus

04/28/20

#### Help needed thank you!

Function f(x) is positive, increasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the upper sum, lower sum,... more
Ap Calculus Math Calculus

04/28/20

#### Help needed thank you!

The estimated value of , using the trapezoidal rule with 4 trapezoids isOptions: 1)  3.25 2)  5.25 3)  4.00 4)  4.25
Ap Calculus Math Calculus

04/28/20

#### Help needed thank you!

Which definite integral approximation formula is ?Options: 1)  Circumscribed rectangles 2)  Inscribed rectangles 3)  Mid-point rule 4)  Trapezoidal rule
Ap Calculus Math Calculus

04/28/20

Which of the following differential equations is consistent with the following slope field?﻿Options: 1)  2)  3)  4)
Ap Calculus Math Calculus

04/28/20

The differential equation  .I. will produce a family of quadratic functions.II. will produce a family of linear functions.III. will produce a family of exponential functions.Options: 1)  I... more
Ap Calculus Math Calculus

04/28/20

Find the specific solution of the differential equation  with condition y(-4) = e.Options: 1)  2)  3)  4)  None of these
Ap Calculus Math Calculus

04/28/20

The temperature of a cup of coffee varies according to Newton's Law of Cooling: , where T is the water temperature, A is the room temperature, and k is a positive constant.If the coffee cools from... more
Ap Calculus Math Calculus

04/28/20

The slope of the tangent line to a curve at any point (x, y) on the curve is . What is the equation of the curve if (3, 1) is a point on the curve?Options: 1)  x2 + y2 = 8 2)  x + y =... more
Ap Calculus Math Calculus

04/28/20

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = -1.
Ap Calculus Math Calculus

04/28/20

For an object whose velocity in ft/sec is given by v(t) = -2t2 + 4, what is its distance travelled, in feet, on the interval t = 0 to t = 2... more
Ap Calculus Math Calculus

04/28/20

For an object whose velocity in ft/sec is given by v(t) = -t2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs? Options: 1)  1.333 2)  2.438 3)  2.667 4)  -4
Ap Calculus Math Calculus

04/28/20

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 2 - x2 on the interval  . If so, find the x-coordinates of the point(s) guaranteed by the theorem. Options: 1)  No,... more
Ap Calculus Math Calculus

04/28/20

Find the average value of  over the interval [0, 4].Options: 1)  1.61 2)  0.40 3)  4.83 4)  -0.20
Ap Calculus Math Calculus

04/28/20

The base of a solid in the xy-plane is the circle x2 + y2 = 16. Cross sections of the solid perpendicular to the y-axis are semicircles. What is the volume, in cubic units, of the... more
Ap Calculus Math Calculus

04/28/20