A function can only be differentiable if it is _______ .
What is continuous.
100
What derivative rule states "First D-second plus second D-first"?
What is the Product Rule
100
What is the concavity of x^2
What is concave up
100
The integral of 2x is _____.
What is x^2
100
When a slope field segments are along a vertical line, there is no __ in the difEQ.
What is y
200
Find the limit as x approaches zero of (tanx)/x
What is 1
200
Given: y= 2x^2 -6x
Find: dy/dt when x=3 and dx/dt = 2
What is dy/dt = 12
200
Given: f(x)=x^2 g(x)= 2x-5 h(x)= √x
Find: h(g(x))
What is √(2x-5)
200
Find F'(x), given F(x) = ∫8/t dt from 2 to x
What is F'(x)= 8/x
200
The formula for the TDT is _________.
What is ∫|v(t)| dt from b to a
300
Discuss the continuity of f(x) = x^2 +3x +1
What is (-∞ , ∞ )
300
d/dx (cscx) = ?
What is -cscx(cotx)
300
A particle moves along a line so that at time t, where 0≤t≤π, its position is given by s(t) = -4cost - (t^2 /2) +10. The velocity of the particle when its acceleration is zero is _____.
What is 2.55 seconds
300
Find the particular solution to the difEQ.
y' = sinx, y(π/2) = 1
What is y = -cosx + 1
300
Find the area of the region between y = 5x -x^2 and y = 2x
What is 4.5 units^2
400
The limit approaching -2 f(x) where f(x) = -x^2 -4x +2, x≤-2 and f(x) = x^2 +4x +6, x>-2
What is DNE (non-removable)
400
Find the derivative of f(x) when f(x) = sinx/(x^4)
What is (xcosx - 4sinx) / (x^5)
400
All edges of a cube are expanding at a rate of 3 cm/sec. The volume of the cube changing when each edge is 5 cm long is _____.
What is dv/dt = 225 cm^3/sec
400
Evaluate the following indefinite integral (find F).
∫ ( (1 ) / (5x+2 ) dx
What is 1/5ln|5x+2| + c
400
Write (but do not evaluate) an integral expression that would give the volume of the solid generated when the region (between y = 5x - x^2 and y = 2x) is rotated around the x-axis.
What is V= π∫ (5x - x^2 )^2 - (2x)^2 dx from 0 to 3
500
Find the limit as x approaches infinity of (6x^3 -5)/(x^3 +3)
What is 6
500
If x^3 + 3xy + 2y^3 = 17, then in terms of x and y, dy/dx = ______
What is -(x^2 + y) / (x + 2y^2)
500
f(x)= (3x-5)^2
Find f'(x) using 3 different methods stating each
What is Foil & Power Rule, (3x-5)(3x-5) & Product Rule, and CHAIN Rule
500
Solve.
∫ (x^3-5x^2-9)/(X-3)
Find F(x) of a polynomial in the numerator and a binomial in the denominator.