# Questions & Answers

JUMP TO TOPIC

- Find transient terms in this general solution to a differential equation, if there are any
- Find a vector function that represents the curve of intersection of the cylinder and the plane.
- Let W be the set of all vectors of the form shown, where a, b, and c represent arbitrary real numbers
- Find two sets A and B such that A ∈ B and A ⊆ B.
- Solve differential equation ty’+(t+1)y=t , y(ln2)=1 , t>0
- List five integers that are congruent to 4 modulo 12.
- Find the directional derivative of f at the given point in the direction indicated by the angle θ.
- Population y grows according to the equation dy/dt = ky, where k is a constant and t is measured in years. If the population doubles every ten years, then the value of k is?
- Given a standard normal distribution, find the area under the curve that lies (a) to the left of z=-1.39; (b) to the right of z=1.96 ; (c) between z=-2.16 and z = -0.65; (d) to the left of z=1.43 ; (e) to the right of z=-0.89; (f) between z=-0.48 and z= 1.74.
- At what point does the curve have maximum curvature? y = 7 ln(x)
- A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment.
- Show that the equation has exactly one Real root 2x+cosx=0.