1,126 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus Precalculus

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
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Ap Calculus Math Calculus Precalculus

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
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Ap Calculus Math Calculus Precalculus

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
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Ap Calculus Math Calculus Precalculus

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
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Ap Calculus Math Calculus Precalculus

04/28/20

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) 
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Ap Calculus Math Calculus Precalculus

04/28/20

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... more
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Ap Calculus Math Calculus Precalculus

04/28/20

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
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Ap Calculus Math Calculus Precalculus

04/28/20

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
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Expert Answers •1
Ap Calculus Math Calculus Precalculus

04/28/20

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 =... more
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Ap Calculus Math Calculus Precalculus

04/28/20

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. 
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Ap Calculus Math Calculus Precalculus

04/28/20

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... more
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Ap Calculus Math Calculus Precalculus

04/28/20

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
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Ap Calculus Math Calculus Precalculus

04/28/20

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
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Ap Calculus Math Calculus Precalculus

04/28/20

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
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Ap Calculus Math Calculus Precalculus

04/28/20

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
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Ap Calculus Math Calculus Precalculus

04/28/20

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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Ap Calculus Math Calculus Precalculus

04/28/20

Help with calculus please
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
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Ap Calculus Math Calculus Precalculus

04/28/20

Please help with Calculus
A pitcher throws a baseball straight into the air with a velocity of 72 feet/sec. If acceleration due to gravity is -32 ft/sec2, how many seconds after it leaves the pitcher's hand will it take the... more
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Ap Calculus Math Calculus Precalculus

04/28/20

Please help with Calculus
For an object whose velocity in ft/sec is given by v(t) = -t2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs?Options: 9.000 -9.000 10.596 -3.00
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Ap Calculus Math Calculus Precalculus

04/28/20

Please help with Calculus
Find the distance, in feet, a particle travels in its first 2 seconds of travel, if it moves according to the velocity equation v(t)= 6t2 - 18t + 12 (in feet/sec)Options: 4 5 6 -1
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Ap Calculus

04/27/20

The differential equation dy dx equals the quotient of the quantity x minus 3 and x plus 4

produces a slope field with horizontal tangents at x = -4 produces a slope field with vertical tangents at x = -4 produces a slope field with columns of parallel segments I only II only I... more
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Ap Calculus

04/26/20

The slope of the tangent to a curve at any point (x, y) on the curve is negative 1 times x divided by y . Find the equation of the curve if the point (3, -4) is on the curve.
A. x + y = -1B. x^2 + y^2 = 5C. x^2 + y^2 = 25 D. x^2 - y^2 = -7
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Ap Calculus Calculus

04/13/20

For an object whose velocity in ft/sec is given by v(t) = -3t2 + 6, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs?
A. 4B. 7.314C. 3.657D. -6
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Ap Calculus Calculus

04/10/20

Find the exact value of the expression. Use a graphing utility to verify your result. (Hint: Make a sketch of a right triangle. Enter your answer in radians.)

tan [arcsin(-10/11)]It specifically needs to be in radians which is the part I'm struggling with.
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04/03/20

Find the particular solution that satisfies the initial condition
sqrt(x) + sqrt(yy’) = 0 y(1)=4
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