604 Answered Questions for the topic AP Calculus

#### 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...
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#### 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...
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#### 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,...
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#### 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

#### 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...
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#### 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 =...
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#### 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

#### Need help understanding

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

#### 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...
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#### 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...
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#### 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,...
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#### 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

#### Help needed thank you!

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

#### I'm stuck, please help with math

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

#### I'm stuck, please help with math

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...
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#### I need help please!

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

#### I need help please!

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

#### I need help please!

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 =...
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#### Please help me with this math question

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.

#### Help with calculus please

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...
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#### Help with calculus please

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

#### Help with calculus please

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

#### Help with calculus please

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

#### Help with calculus please

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

#### Help with calculus please

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

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