## AP Calculus Resources A person's systolic blood pressure...

A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on a person's age, in years. The equation: P=0.006x^2-0.02x+122 A)Find the systolic pressure,... How to show that f is continuous over interval?

Let f be continuous and never zero on [a,b]. Show that either f(x)>0 for all x in [a,b] or f(x)<0 for all x in [a,b] Calculus with Data in a Table

The table of values below shows the rate of oil consumption in gallons per minute at selected time intervals from t = 0 to t = 12. Using a left Riemann sum with 5 subintervals estimate the total... Integrals and Calculus using Data in a Table

A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its velocity v(t) given in the table below. Use a right hand sum with 4 intervals... Solving Calculus with Data in a Table

The function f is continuous on the interval [3, 11] with some of its values given in the table below. Use the data in the table to approximate f '(4). (2 points) x      3... Using Calculus with Data

The function f is continuous on the interval [2, 10] with some of its values given in the table below. Use a trapezoidal approximation with 4 trapezoids to approximate Int[2,10] f(x)dx. x... AP Calculus: Functions defined by integrals

Use the graph of f(t) = 2t + 4 on the interval [-4, 6] to write the function F(x), where F(x) = Int[2,x] f(t)dt Functions Defined by Integrals

Pumping stations deliver oil at the rate modeled by the function D, given by D(t) = 5t/(1+3t) with t measure in hours and D(t) measured in gallons per hour. How much oil will the pumping stations... Graphs of f, f' and f"

The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?  The graph of f has a relative maximum at x=0 The graph of... Trapezoidal Estimation

The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of Int[1,2] f(x)dx.   Table x    ... Differential Equations

1. a) Solve the differential equation y' = 4x√(1-y2). b) Explain why the initial value problem y' = 4x√(1-y2) with y(0) = 4 does not have a solution.   2. Using 4 equal-width...