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Differentiate the following function.   Show all work using Graphical Equation Editor. No negative exponents Do not write as a single fraction y=3×3+sin3(x)+sin(x3){“version”:”1.1″,”math”:”y=3×3+sin3(x)+sin(x3)”}

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

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”}

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)}

Find the equations of the vertical and horizontal asymptotes of the following function: f(x)=2x-3×2-9x+18f(x)=\frac{2x-3}{x^2-9x+18}

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

Evaluate: log9(1)\log_{9}(1)

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

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