Solve the problem. Round to the nearest cent.You intend to create a college fund for your baby. If you can get an interest rate of 3.9% compounded monthly and want the fund to have a value of $141,991 after 18 years, how much should you deposit each month?

Professor Huff believes that students do better learning the content of Intro Psychology online rather than learning in-person in a physical classroom. He decides to develop an experiment to test his hypothesis. He assigns half of his students to his online class, and the other half of his student to a traditional, in-person class. After the semester ends, he looks at their final class grade. After running a statistical analysis, he concludes that learning Intro Psychology online is more effective than in person.  Match the term the term with the outcome given this scenario. 

A Variable Ratio schedule of reinforcement

Perception

Determine if the vector field F→=-cosxcosy,sinxsiny,-sec2z{“version”:”1.1″,”math”:”F→=-cosxcosy,sinxsiny,-sec2z”} is conservative.  Be sure to fully support your conclusion.

Change the rectangular integral ∫-22∫-4-y24-y21dxdy{“version”:”1.1″,”math”:”∫-22∫-4-y24-y21dxdy”} into an equivalent polar integral, then evaluate it.

Set up an iterated double integral that expresses the area of the region bound by the parabola y=x2{“version”:”1.1″,”math”:”y=x2″} and the line y=4x+21{“version”:”1.1″,”math”:”y=4x+21″}.

Let D{“version”:”1.1″,”math”:”D”} be the region that is bound below by the cone ϕ=π4{“version”:”1.1″,”math”:”ϕ=π4″} and above by the sphere ρ=10{“version”:”1.1″,”math”:”ρ=10″}.  Set up the triple integral for the volume of D{“version”:”1.1″,”math”:”D”} in spherical coordinates.

Evaluate ∂w∂u{“version”:”1.1″,”math”:”∂w∂u”}at u,v=5,3{“version”:”1.1″,”math”:”u,v=5,3″} for the function wx,y,z=xz+yz-z2{“version”:”1.1″,”math”:”wx,y,z=xz+yz-z2″}where x=uv{“version”:”1.1″,”math”:”x=uv”}, y=uv{“version”:”1.1″,”math”:”y=uv”} and z=u{“version”:”1.1″,”math”:”z=u”}.

Consider the plane 3x+2y+4z=12{“version”:”1.1″,”math”:”3x+2y+4z=12″}. Find the vector equation of the line normal to the plane through the point 3,1,5{“version”:”1.1″,”math”:”3,1,5″}