Find the slope of the tangent line at x=2.{“version”:”1.1″,”math”:”x=2.”}  Show all work using Graphical Equation Editor.

A ladder 10 ft{“version”:”1.1″,”math”:”10 ft”} long is leaning against the wall of a house.  The top of the ladder is sliding down the wall at a rate of 94 ftsec{“version”:”1.1″,”math”:”94 ftsec”}.  Show all work using Graphical Equation Editor. Label answers. A. Find how high the ladder reaches on the wall when the base of the ladder is 6 ft{“version”:”1.1″,”math”:”6 ft”} from the wall. B. How fast is the base of the ladder moving when the base of the ladder is 6 ft{“version”:”1.1″,”math”:”6 ft”} from the wall? B. At what rate is the area of the triangle formed by the ladder and the wall changing at the same instant in time (when the ladder is 6 ft{“version”:”1.1″,”math”:”6 ft”} from the wall)?

Solve, and write all solutions below.ln(x2-7x)=ln(30)\ln(x^2-7x)=\ln(30)

Solve the following equation by factoring or by using the quadratic formula. (x+1)(x-6)=8(x+1)(x-6)=8In case you need it: x=-b±b2-4ac2a

Solve: log2(3x+1)=4\log_2(3x+1)=4

Solve for xx. Write your answer as a decimal:3(7-2x)=14-8(x-1)3(7-2x)=14-8(x-1)

Molly is a third party beneficiary under a contract between Ned and Otis. Ned and Otis can modify or rescind their contract to take away Molly’s rights under the contract without her consent

Nominal damages are designed to punish a wrongdoer and set an example to deter similar conduct in the future.

Cloud Storage Inc. promises to pay its employees a year-end bonus “if profits continue to be high and management agrees at the time.” This is

Bob and Kevin have an oral agreement for Bob to sell Kevin some land.  Kevin pays Bob, but Bob refuses to go through with the sale.  Kevin sues Bob.  During discovery Bob admits under oath that a contract for sale was made.  The contract will be enforceable to the extent of the admission.