Limits
Differentiation
Integration
Theorems
Applications
100
Evaluate the limit, if it exists
What is 50?
100
Find dy/dx. 3xy=4x+y2
What is (3y-4)/(2y+3x)?
100
Integrate F'(x)=sec2x-2.
What is tan(x)-2x+C?
100
Complete the Fundamental Theorem of Calculus. ∫abF(x)dx=?
What is F(b)-F(a)?
100
Find the area of the region bounded by f(x)=x2-3x-10 and g(x)=-x2+5x+14.
What is 170.667?
200
What is 1/2?
200
Find the derivative of f(x)=ln(x3+3x2+7).
What is (3x2+6x)/(x3+3x2+7)?
200
If F(x) = 
What is 
200
What does the Mean Value Theorem state?
What is there exists a point c in the interval (a,b) such that f'(c)=f(b)-f(a)/b-a, if a function is continuous on the closed interval [a,b] and differentiable on the open interval (a,b)?
200
Find the average acceleration of a particle over the interval (0,50) given v(50)=80ft/sec and an initial velocity of 10 ft/sec. Include units in your answer.
What is 7/5 ft/sec2?
300
Find the Limit:
What is x=1
300
Find dy/dx for y=ex+y
What is (ex+y)/(1-ex+y)?
300
Let R be the region between the function f(x) = x3+6x2+10x+4, the x-axis, and the lines x=0 and x=4. Using the Trapezodial Rule, compute the area when there are 4 equal subdivisions.
What is 296?
300
What does Rolle's Theorum state
What is Rolle's theorem states that for any continuous, differentiable function that has two equal values at two distinct points, the function must have a point on the function where the first derivative is zero?
300
The rate of change of radius r of a circle is 7 cm/s. Find the rate of change of Area A when r=12cm.
What is 168π?
400
Evaluate the limit, if it exists:
What is 
400
Find the derivative of f(x)=cos(3x).
What is -3sin(3x)?
400
If 
?
What is -16+k?
400
Use the second Fundamental Theorem of Calculus to find F'(x). F(x)=∫2x(256x+128)dx.
What is 256x+128?
400
The acceleration of a particle is given by the function a(t)==3t2+7. Find the position function of the particle given that its initial velocity is 10 m/sec and an initial height of 80m.
What is s(t)=(t4/4)+3.5t2+10t+80?
500
What is 384?
500
Find dy/dx for y = 4sin2(3x)
What is 24sin(3x)cos(3x)?
500
what is f(x) if f'(x) = (2x)/(x2-1)
What is f(x) = ln|x2-1|-ln3?
500
Use the second Fundamental Theorem of Calculus to find F'(x). F(x)=∫-3x(16t+8)dt.
What is 16x+8?
500
Find the volume of the solid generated by revolving the region bounded by y= √ x, x=0, and x=8 around the x-axis.
What is 15.08?