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604 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

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
Ap Calculus Math Calculus

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
Ap Calculus Math Calculus

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
Ap Calculus Math Calculus

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
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
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.

04/03/20

Find the particular solution that satisfies the initial condition

sqrt(x) + sqrt(yy’) = 0 y(1)=4
Ap Calculus Calculus

04/03/20

In a free-fall experiment, an object is dropped from a height of h = 144 feet. A camera on the ground 500 ft from the point of impact records the fall of the object.

a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0.b) At what time will the object reach ground level? (Round your answer to... more
Ap Calculus Calculus

04/02/20

Find the exact value of the expression (with out a calculator): 81^(1/ln3)

I mostly need help on what steps to take as I have to answer a lot of questions like this for an assignment.
Ap Calculus Calculus Ab Calculus

04/01/20

Calc AB Need help. Separable Equations and solving.

Consider the following.y(5 + x) dx + x dy = 0Determine whether the differential equation is separable.I put separableIf the equation is separable, rewrite it in the form N(y) dy = M(x) dx. (If it... more
Ap Calculus Calculus

04/01/20

Calc AB Need Help. Find the particular solution that passes through the point shown on the graph. Here is the picture of the question

Some of the curves corresponding to different values of C in the general solution of the differential equation are shown in the graph. Find the particular solution that passes through the point... more
Ap Calculus Math Calculus

03/10/20

Find the position function, s(t), describing the motion of the object. 

An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object. 
Ap Calculus Math Calculus

03/10/20

Determine if Mean Value Theorem applies to function

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x3 - 9x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.
Ap Calculus Math Calculus

03/10/20

Find the volume

The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x2. Cross sections of the solid perpendicular to the x-axis are semicircles. What is the volume, in cubic... more
Ap Calculus Math Calculus

03/10/20

Set up the integral with given information

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 2, and x = 1 is revolved around the line y = -2. 
Ap Calculus Math Calculus

03/10/20

Find area bounded by the curves

Find the area of the region bounded by the curves , y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.
Ap Calculus Math Calculus

03/09/20

Evaluate the integral

Evaluate exactly the value of  . Your work must include the use of substitution and the antiderivative. 
Ap Calculus Math Calculus

03/09/20

Evaluate the integral

Evaluate  
Ap Calculus Math Calculus

03/09/20

Find where the curve is concave

Find the interval on which the curve of  is concave up
Ap Calculus Math Calculus

03/09/20

Find the upper estimate

Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. The total amount of... more
Ap Calculus Math Calculus

03/09/20

Using n = 4 equal-width rectangles, approximate the integral

Using n = 4 equal-width rectangles, approximate  . Use the left end-point of each sub-interval to determine the height of each rectangle.

03/03/20

prove the identity

prove sin^4(y)-cos^4(y)= 2sin^2(x) -1 i think you would start on the left hand side but im not sure how to start or why the varibles change. thanks in advance for the help!
Ap Calculus Math Calculus

02/25/20

For an object whose velocity in ft/sec is given by v(t) = -2t^2 + 8, what is its distance travelled, in feet, on the interval t = 0 to t = 3 secs?

Question options: 1) 6.00 2)  0.67 3)  15.33 4)  5.11
Ap Calculus Math Calculus

02/25/20

For an object whose velocity in ft/sec is given by v(t) = -t^2 + 4, what is its displacement, in feet, on the interval t = 0 to t = 4 secs?

Question options: 1) 7.67 2)  -3.33 3)  -5.33 4)  3.33
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