Antiderivative at a point calculator
CALCULUS - SPARCC
12. Let be the function whose graph goes through the point (3, 6) and whose derivative is given . by Find . 13. (Multiple Choice) If is the antiderivative of such that , then (A) 4.988 (B) 5 (C) 5.016 (D) 5.376 (E) 5.629. Answers to Worksheet on the First Fundamental Theorem of Calculus . 1. 7.
[DOC File]Radnor High School - Radnor Township School District
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Derivative at a point. Slope of a curve at a point. Examples are emphasized, including points at which there are vertical tangents and points at which there are no tangents. Tangent line to a curve at a point and local linear approximation. Instantaneous rate of change as the limit of average rate of change
[DOC File]AP Calculus AB Syllabus
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(use a calculator to find a definite integral, getting the number of people in an amusement park at a given time, or amount of sand on a beach, here students use written sentences to explain the solution. They also use their calculator to get their values in which to integrate from. …
[DOC File]Derivatives
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So, in calculating the area of on the calculator from 2 to 0, the calculator gives the value 0.16, so the solution for f(2) = 0.16 + 1 ≈ 1.16. Solving First-Order Differential Equations This will be an equation in which we are shown the derivative function, and be asked to determine the initial function.
[DOC File]2006 AP Calculus AB – Part A (with calculator) - Solutions
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2006 AP Calculus AB – Part A (with calculator) – Solutions (a) (1 pt for the setup and 1 point for the answer) *Notes: (1)You can use and expression such as L(t) if either you or the exam defines it. (2) The question asks for the “nearest” whole number of cars! Get the answer pt!
[DOC File]AP Calculus: F 2003
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Use it to sketch the antiderivative F that satisfies F(-1) = 1. (antiderivative sketch 1 point) 3. A particle moves along a straight line with acceleration . The velocity at t = 1 second. is 3 m/sec. Its position at time t = 0 is 10 meters. Find both the velocity function and the …
[DOC File]Constructing Tangents to Functions and Calculating the ...
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Call this control point ∂x. Place a free point on the x-axis of your function plot for the cubic function . f(x) = ax3+bx2+cx+d. Call this free point . x. Measure the abscissa of this point and label this measurement . x. In the calculator create the measure of (x - ∂x/2) and (x + ∂x/2). Using the GSP calculator and each of these measures ...
[DOC File]Indefinite Integrals Calculus
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Find the antiderivative of the function that satisfies . Evaluate the indefinite integral . (Hint: Examine the graph of.) ... Suppose the graph of includes the point and that the slope of the tangent line to at any point is given by the expression Find ... Estimating a Definite Integral with a TI-83/84 Calculator. We will estimate the value of ...
[DOCX File]Review of Antiderivative Word Problems
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Review of Antiderivative Word Problems. 2002 #2 (calculator question) The rate at which people enter an amusement park on a given day is modeled by the function . E. defined by . E t = 15600 t 2 -24t+160 .. The rate at which people leave the same amusement park on the same day is modeled by the function
[DOC File]Document Title - Portland Community College
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a. At any point over intervals where is decreasing, is definitely (blank a). b. At any point that an antiderivative of has a local maximum point, then it’s just got to be the case that is (blank b). c. At any point that the slope of is positive, there’s no doubt that is (blank c). d. Along intervals where is (blank d)
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