Derivatives
Integrals
Limits
Motion
Functions
100
Derivative of: x^3-3x^2+7x (no calc)
What is 3x^2-6x+7
100
Integral of: 15x^4dx (no calc)
What is 3x^5+C
100
Which is not a way to find a limit? (1) graph (2) L'hopital's rule (3) Skateboarding (4) Indeterminate Forms
(3) Skateboarding
100
The slope of a velocity graph is known as the ______
What is the acceleration
100
What is the hole of: (x^2+7x+12)/(x^2+5x+6) (no calc)
What is -3
200
Derivative of: tan(x) (no calc)
What is sec^2(x)
200
Integral of: sin(x)dx (no calc)
What is -cos(x)+C
200
In order for a limit to exist the function must be _______ at the point. (1) Increasing (2) Continuous (3) Decreasing (4) Nonexistent
What is (2) continuous
200
The double integral of the acceleration graph is known as the _________
What is the position graph
200
Is there a horizontal asymptote in (4x^5-7x^3+2x^2)/(12x^5+3x^4+x) if so where (no calc)
Horizontal asymptote at x=1/3
300
Derivative of: sin(2x) (no calc)
What is 2cos(2x)
300
Integral of: csc(x)cot(x)dx (no calc)
What is -csc(x)+C
300
What is lim(K) x->a
K
300
What is the position at x=4 if the v(x)=4x^3-6x^2+8x (no calc)
What is 152
300
Where is the y-intercept on the function (5x^3+24x+12)/(9x^4+5x^2+2x+3) (no calc)
Y-intercept at y=4
400
Derivative of: (3x^3-2x)/(4x-5) (no calc)
What is (36x^3-57x^2+10)/(16x^2-40x+25)
400
Integral of: 1/(1+x^2)dx (no calc)
What is tan^-1(x)+C
400
If lim g(x)=L and f is continuous at L, then lim f(g(x))=? x->a x->a
What is f(L)
400
Where does the particle move at a constant rate on the position function x(t)=t^4-2t^3-6t^2+9t
What is x=-.618 and x=1.618
400
find the range of the function f(x)=-3x^2|x-2|+3 (no calc)
What is (-infinity, 3]
500
Given f(x^2)=f(x)+x^2 find the first and second derivative of f(1) (no calc)
What is f'(1)=2 and f''(1)=-2/3
500
What is the volume of solid of revolution using cylindrical shells? (no calc)
What is Integral from a-b(2pie(f(x)-g(x))dx
500
What is the lim(1+1/x)^x x->+infinity (no calc)
What is e
500
What is the average velocity from 0 to 3 given a(t)=6x^2+6x-12 (no calc)
What is 4.5
500
Is the function even, odd, or neither? f(x)=2x^3-4x (no calc)
What is odd f(-x)=-f(x)
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