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Calculus

Precalc Prerequisites 1

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Calculus
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Human development
Interpersonal relationships
Psychoanalysis
Calculus
Attachment theory

Untitled.notebook 1 August?12,?2015 Untitled.notebook 2 August?12,?2015 Untitled.notebook 3 August?12,?2015 Untitled.notebook 4 August?12,?2015
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5.1

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Calculus
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kinematics
motion
Velocity
Calculus
Trigonometric functions
Sine

Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A particle starts at x = 0 and moves along the x-axis with velocity v(t) = 0.2 for time t ? 0. Where is the particle at t = 7? A) x = 0.2 B) x = 1.4 C) x = 0.27 D) x = 7 1) 2) A particle moves with velocity v(t) = 2t + 7 find the distance traveled between t = 1 and t = 5. A) 18 B) 52 C) 26 D) 9 2) 3) A particle moves with velocity v(t) = 2t + 3 find the distance traveled between t = 0 and t = 2. A) 13 B) 15 C) 10 D) 17 3) Use a finite approximation to estimate the area of the region enclosed between the graph of f and the x-axis for a ? x ? b. 4) f(x) = x2, a = 2, b = 6

bccalcclassact7bintexpofunc

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Calculus
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Home appliances
Plumbing
Boilers
Heating, ventilating, and air conditioning
Water heating
integral
Calculus

Name:________________________ Date:________________________ AP Calculus BC Class Activity 7b: Integration of Exponential Functions Evaluate the following integrals: 6. Find the average value of the function on the interval [0, 4]. 7. Write an expression and find the area of the region bounded by the curve , the x-axis, and the lines x = ln 3 and x = ln 20. 8. Water is leaking from a broken water heater at a rate in gallons per minute of . Find the total amount of water that leaked from the water heater after 6 minutes. Assume the water heater held twenty gallons at the start. After two minutes of leaking the water heater pulled more in water at a rate of . Find the net change in the amount of water in the heater after 8 minutes.

bccalcclassact7aintsubt

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Calculus
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integral
Calculus
Velocity

Name:________________________ Date:________________________ AP Calculus BC Class Activity 7a: Integration by Substitution Evaluate the following expressions: 8. Find the area under the curve on the interval . 9. Find the average value of the function on the interval . 10. A particle is moving along the x-axis so that its velocity can be found by the equation Given the starting position (1, 5) find the position of the particle when t = 4 seconds.
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bccalcclassact5aparametric

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Calculus
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Curves
Functions and mappings
Analytic geometry
equations
Multivariable calculus
Parametric equation
Function
Calculus
Parametric
Parameter
Fish curve
Implicit curve

Name:________________________ Date:________________________ AP Calculus BC Class Activity 5a: Parametric Equations Complete the value of table below and graph the curve for and y = t x y -2 -1 0 1 2 3 Complete the table below and graph the curve for and . t x y 0 ? 2? For the following problems eliminate the parameter and find y as a function of x. and and Given the function below and an equation for x, find one parametric curve that could represent it: and and Use

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