DEQ's
DIFFERENTIATION
INTEGRATION (e)
Inverse Functions
Misc
200
What is the equation , given:
dy/dx =
-2/ (x - 1)^2
What is: y=
2/(x - 1) + C
200
Find the derivative of:
f(x) = x^3 ln x
What is
f'(x)= 3x^2 (lnx) + x^2
200
Integrate:
y' = e^x (1 - e^x)^(1/2)
What is
y= (-2/3)(1 - e^x)^(3/2) + C
200
Find the inverse of
y = (x - 2)^(1/3)
What is
g^(-1) (x)= x^3 + 2
200
What competition required athletes to compete naked after the 720 B.C. ruling.
What is The Olympics?
300
Find the G.S. (general solution) if:
dy/dx = 1/(xln 2)
What is:
y = (ln x)/(ln 2) + C
300
Find the derivative of the function,
f(x)= ln l sin x l.
What is cot x ?
300
Integrate:
y'= x^2(e^(x^3))
What is:
y= 1/3(e^(x^3)) + C
300
Find the inverse function of
f(x) = 4 - x^2
What is
g(x)= (4 - x)^(1/2)
300
Birthday:
What is August 24?
400
Find "C", given: f(0)= 2 and
dy/dx = 10 - 2y
What is:
C = -1/2 ln (6) ?
400
Find the equation of the tangent to the function,
f(x)= ln(e^ (x^2)) at the point (-2,4).
What is y= -4x - 4 ?
400
Integrate f' = (e^(x^.5)/(x^.5).
What is 2e^(x^.5) + C?
400
Solve: arctan(2x - 3) =
pi/4
What is 2?
400
What is the name of the dog in the movie, "The Sandlot".
What is Hercules?
500
Find the P.S. , given: y(3)= 1 and
dy/dx = y^2 - (xy)^2
What is:
y = -3/ (3x - x^3 + 15) ?
500
Use implicit differentiation to dy/dx of the given equation: x(e^y) -10x + 3y = 0.
What is (10- (e^y))/ (xe^y +3) ?
500
Integrate f' = xe^(-x^2) on the interval [0,1]. (leave answer with e)
What is (e-1)/(2e)?
500
If f(x)= (x - 1)^(.5) has an inverse function, use the inverse to find (f ^(-1)'(2)).
What is 4?
500
What is Mr Rivera's nickname:
What is "Oddjob"?
1000
Find the G.S. , given: xy + y' = 100x
What is:
100 - Ce^(-1/2 x^2) = y
1000
DOUBLE POINTS!!! Use implicit differentiation to find dy/dx of the given equation: e^(xy) + x^2 - y^2 = 10.
What is (-2x - ye^(xy)) / (xe^(xy) - 2y) ?
1000
Integrate f'= (e^(3/x))/(x^2) on the interval [1,3]. (leave answer with e)
What is (e/3)(e^2 -1)?
1000
Integrate over the interval [0, 0.5]
f'(x) = (8e^(2x))/(2e^(2x) - 1
What is 3.386 or 2ln(2e) ?
1000
Find the P.S. with f(2)= 0, given:
dy/dx = (y - 1)/ x^2
What is:
y = 1 - e^(1/2 - 1/x) ?