AP Calculus AP Review. Top 10 Errors on the AP Calculus Exam alc2004/examprep.html

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Presentation transcript:

AP Calculus AP Review

Top 10 Errors on the AP Calculus Exam alc2004/examprep.html alc2004/examprep.html

Calculus AP Review If what is the equation of the tangent line to g(x) at x = -3?

Calculus AP Review How many points of inflection does have? No Calc.

Calculus AP Review The velocity of a particle moving along a line is meters per second. Find the distance traveled in meters during the time interval Calculator ok

Calculus AP Review Find any local extrema for the function. Use 1 st or 2 nd derivative test.

Calculus AP Review Find max or min values of the function. Use 1 st or 2 nd derivative test.

Calculus AP Review Sketch a detailed graph for:

Calculus AP Review A farmer has 100 yards of fencing to form two identical rectangular pens and a third pen that is twice as long as the other two pens. All three pens have the same width,. Find the value of y that produces the maximum total fenced area. x x yy

Calculus AP Review Evaluate

Calculus AP Review Use the squeeze theorem to find the limit :

Calculus AP Review Find the following limits:

Calculus AP Review Find the following limit:

Calculus AP Review If what is the value of at the point (4,3)?

Calculus AP Review Calculate:

Calculus AP Review No Calculator Question What is the average value of for the closed interval ?

Calculus AP Review Find

Calculus AP Review

No calculator problem Region R is bounded by A) Set up but do not evaluate an integral that gives the area of R. B) Set up but do not evaluate an integral that gives the volume when region R is rotated about the line

No calculator problem You make an open box from an 8 x 11 inch piece of paper by cutting squares from each corner. Since each side of the paper is missing a square corner, the volume of the box is given by: What size squares would need to be cut so that the box has the maximum volume?

Math pick up line of the day By Leah “I don’t like my current significant other. Mind if I do a you-substitution?”

Find the volume of the solid that results when the region bounded by the curve and the curve is revolved about the line x=8. Set up but do not evaluate the integral.

Calculus AP Review Find the horizontal asymptotes of the graph of in the xy-plane.

Evaluate each 1. 2.

Evaluate each 3. 4.

Math pick up line of the day by Leah How is it that I can know so many digits of pi and not know the 7 digits of your phone number?

Calculus AP Review In a right triangle ABC, point A is moving along a leg of the right triangle toward point C at a rate of ½ cm/sec, and point B is moving toward point C at a rate of 1/3 cm/sec along a line containing the other leg of the right triangle, as illustrated in the diagram. What is the rate of change in the area of triangle ABC, with respect to time, at the instant when AC=15 cm and BC=20 cm?

Calculus AP Review The base of a solid is bounded by in the x-y plane. Each cross section perpendicular to the x-axis is a rectangle with one side in the x-y plane, and whose height is 2. What is the volume of the solid?

Math pick-up line of the day. By Leah I don’t know if you’re in my range, but I’d sure like to take you home to my domain.

Math pick-up line of the day by Leah My love for you is like the first derivative of a concave up function, because it always increasing!

Calculus AP Review A curve has a slope 2x+3 at each point (x,y) on the curve. Find the equation of the curve if it passes through the point (1,2)

Calculus AP Review A pizza, heated to a temperature of 350 degrees Fahrenheit, is taken out of an oven and placed in a 75 degree room at t=0. The temperature of the pizza is changing at a rate of degrees Fahrenheit per minute. To the nearest degree, what is the temperature of the pizza at time t=5 minutes?

Calculus AP Review Find the limit:

Leah’s Math Limerick Because Leah loves math! A dozen, a gross, and a score Plus three times the square root of four Divided by seven Plus fives times eleven Is nine squared, and not a bit more!

Top 10 Errors on the AP Calculus Exam alc2004/examprep.html alc2004/examprep.html