Write the equation of the tangent line (in slope-intercept form) to this function at x=2.{“version”:”1.1″,”math”:”x=2.”} Show all work using Graphical Equation Editor.

Use implicit differentiation to find dydx{“version”:”1.1″,”math”:”dydx”} for the following expression: Show all work using Graphical Equation Editor. sin(4y)=2×3-3xy{“version”:”1.1″,”math”:”sin(4y)=2×3-3xy”}

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)?

Let f(x)=x2+4x-7f(x)=x^2+4x-7. Find f(-3)f(-3)

If you invest $7,000 into a savings account that earns 4% annual interest compounded quarterly, how much would you have in the account after 6 years? Assume that money is never taken out of the account.Some formulas that may be useful here: A=P(1+rn)(nt)A=P(1+\frac{r}{n})^{(nt)} and A=Pe(rt)A=Pe^{(rt)}

Solve the following inequality. Type your answer in interval notation.-5x+25≤30-5x+25\leq30

Solve the following inequality. Type your answer in interval notation.$$6(x+5)

If you want to have $10,000 for a new car in three years, how much should you invest now into an account that pays 6.5% compounded continuously? Round to the nearest cent.Some formulas that may be useful here: A=P(1+rn)(nt)A=P(1+\frac{r}{n})^{(nt)} and A=Pe(rt)A=Pe^{(rt)}

Evaluate: log4(164)\log_{4}(\frac{1}{64})

Maya and Nick enter into a written contract for the sale of land. To be enforceable in court, the contract must include