Miscellaneous
Name Ms. Kim's Korean name.
What is Hye Jin?
Solve:
int (3x^2 + 4x + 3) dx
What is:
x^3 + 2x^2 + 5x + C
Integrate:
dy/dx = cos(3x)
What is: y = 0.5sin(3x) + C
Find f'(x), if f(x)= tan(3x)
What is f'(x) =
3sec^2 3x
Find f(x) if
dy/dx = x/(4 + x^2)^(1/2)
What is f(x)=
(4 + x^2)^(1/2) + C
The average human heart pumps how much blood in one day?
What is 2000 gallons?
Find F(x) for
dy/dx = 2/x^3
What is:
-1/x^2 + C
Integrate:
dy/dx = -sin(5x)
What is:
Find y' if y=2sin(x)-tan(x).
What is 2cos(x)- (sec^2)(x) ?
Integrate:
int (sin^3 x cos x)dx
What is: f(x)=
1/4 sin^4 x + C
Name APIS mission.
What are Core Curricular Emphases, Key Character Strengths, New Pacific Century Skills & Dispositions?
Integrate:
int (x^2)/(sqrt(x^3 + 3))dx
What is:
2/3 sqrt (x^3 + 3) + C ?
Integrate:
sec^2 x
What is: tan x + C
Differentiate f(x)=
2x^2cos(6x) + 2
What is f'(x)= 4xcos(6x) -
12x^2sin(6x)
Find f(x):
int(2x^5(x^6 + 2)^3 dx
What is: f(x)=
1/12 (x^6 +2)^4 + C
How many points did Michael Jordan score in his first NBA game?
What is 16 pts?
Find the integral:
int (sqrtx+ 1/(2sqrtx))dx
What is:
Integrate:
dy/dx= sin^3 x cos^3 x
What is:
-1/4cos^4 x + 1/6cos^6x + C
Find y': y =
cosx/(1 + sinx)
What is: y' =
-1/(1+sinx)
Integrate:
dy/dx = x(x+2)^(1/2)
What is:
2/5(x+2)^(5/2) - 4/3(x+2)^(3/2) + C
How long do elephant pregnancies last (months)?
What is 22 months?
Find the equation f(x), if f'(x) = 6x and f(0)=8.
What is: f(x)=
3x^2 + 8
Find f(x), given: f''(x) = sin x, f'(0)= 2, f(0)=8.
What is: f(x)= -sinx + 3x + 8?
Find f'(x) , if f(x) = ln
(x^3 + 3x^2 +7)
What is f'(x) =
(3x^2 +6x)/(x^3 + 3x^2 + 7)
Integrate:
dy/dx= (sin(1/x))/(6x^2) dx
What is: f(x)=
1/6 cos(1/x) + C