Answers created by benjidunn

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How do you find the derivative of $\frac{3 + sin (x)}{3 x + cos (x)}$ $(3+sin(x))/(3x+cos(x))$ ?
A projectile is shot from the ground at an angle of $\frac{π}{3}$ $( pi)/3$ and a speed of $12 \frac{m}{s}$ $12 m/s$ . Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
Is $f (x) = \frac{- x^{3} + x^{2} + 2 x - 11}{x - 1}$ $f(x)=(-x^3+x^2+2x-11)/(x-1)$ increasing or decreasing at $x = 2$ $x=2$ ?
What is the equation of the line tangent to $f (x) = (x^{2} - x^{3}) e^{- x + 2 x^{2}}$ $f(x)=(x^2-x^3)e^(-x+2x^2)$ at $x = ln 5$ $x=ln5$ ?
How do you integrate $\int \frac{3 x - 4}{(x - 1) (x + 3) (x - 6)}$ $int (3x-4)/((x-1)(x+3)(x-6))$ using partial fractions?
How do you integrate $\int \frac{2 x + 1}{(x - 2) (x^{2} + 1)}$ $int (2x +1) / ((x - 2)(x^2 + 1))$ using partial fractions?
What is the formula for calculating wave speed?
How do you integrate $\int \frac{x + 4}{x^{2} + 2 x + 5} d x$ $int (x+4)/(x^2 + 2x + 5)dx$ using partial fractions?
The gas inside of a container exerts $12 P a$ $12 Pa$ of pressure and is at a temperature of $250^{o} C$ $250 ^o C$ . If the temperature of the gas changes to $80^{o} K$ $80 ^oK$ with no change in the container's volume, what is the new pressure of the gas?
Is $f (x) = e^{x} sin x - cos x$ $f(x) =e^xsinx-cosx$ concave or convex at $x = \frac{π}{3}$ $x=pi/3$ ?
How do you find the derivative of $csc (\frac{t}{2})$ $csc (t/2)$ ?
How do you divide $\frac{6 + 4 i}{1 - i}$ $(6+4i)/(1-i)$ in trigonometric form?
How do you integrate $f (x) = \frac{x^{2} + 1}{(x^{2} + 6) (x - 4)}$ $f(x)=(x^2+1)/((x^2+6)(x-4))$ using partial fractions?
What is $f (x) = \int e^{2 x - 1} - e^{3 x - 2} + e^{x} d x$ $f(x) = int e^(2x-1)-e^(3x-2)+e^x dx$ if $f (2) = 3$ $f(2) = 3$ ?