Recent content by Sympathy

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    Projectile Motion Homework: Plane Speed, Decoy Release & Displacement Equations

    oh and 2nd problem a) What is the acceleration of a sprinter running at 10 m/s when rounding a bend with a turn radius of 25m? b)In what direction does the acceleration vector point? I got a), it's 4 m/s2. But what does b) asking?
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    Projectile Motion Homework: Plane Speed, Decoy Release & Displacement Equations

    Homework Statement a certain airplane has a speed of 180 mi/h and is diving at an angle of 30.0 degrees below the horizontal when a radar decoy is released. The horizontal distance between the release point and the point where the decoy strikes the ground is 2300 ft. (a) How high was the...
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    What is the integral of (x+1)/Square root(4-x^2)?

    Homework Statement Evaluate the following integrals or state that they diverge. Use proper notation. Integral from 0 to 2 of (x+1)/Square root(4-x^2) Homework Equations The Attempt at a Solution I just substituted x = 2sin(theta) thus dx = 2cos(theta) I got to the...
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    Efficient Method for Finding the Integral of Cos^2(x)

    Homework Statement whats the integral of cos^2(x) Homework Equations ? The Attempt at a Solution is it just sin^3(x)/3?
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    2 Finding length of curve problems

    how do you actually type in the integral sign and stuff?
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    2 Finding length of curve problems

    1. Find the exact length of the curve analytically by antidifferentiation. You will need to simplify the integrand algebraically before finding an antiderivative. y = the integral from -2 to x of the SQUARE ROOT (3t^4-1)dt, -2 < x < -1 note that the "<" is actually less than or equal to...
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    Help on 2 previous AP Calc AB test questions

    I got it, its not very hard, thanks guys!
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    Help on 2 previous AP Calc AB test questions

    and second problem: The twice differentiable function f is defined for all real numbers and stisfied the following conditions: f(0) = 2 f'(0) = -4 f''(0) = 3 a) the function g is given by g(x) = e^(ax) + f(x) for all real numbers, where a is a constant. Find g'(0) and g''(0) in terms of a...
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    Help on 2 previous AP Calc AB test questions

    Rocket A has positive velocity v(t) after being launched upward from an initial height of 0 feet at t=0 seconds. The velocity of the rocket is recorded for selected values of t over the interval 0 <(or = to) t <(or = to) 80 seconds, as shown in the table below. t (seconds) 0 10 20 30...
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