604 Answered Questions for the topic AP Calculus
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
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
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
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
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
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
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.
Ap Calculus Differential Equations
Find the particular solution that satisfies the initial condition
sqrt(x) + sqrt(yy’) = 0 y(1)=4
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
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.
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
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
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.
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.
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
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.
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.
Evaluate the integral
Evaluate exactly the value of . Your work must include the use of substitution and the antiderivative.
Find where the curve is concave
Find the interval on which the curve of is concave up
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
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.
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!
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
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