Answers edited by Lotusbluete

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How do you find the integral of $f (x) = x \sqrt{x - 5}$ $f(x)=xsqrt(x-5)$ using integration by parts?
How do you differentiate $f (x) = {cos e}^{4 x}$ $f(x)=cose^(4x)$ using the chain rule.?
What is x if ${log}_{2} (3 - x) + {log}_{2} (2 - x) = {log}_{2} (1 - x)$ $log_2(3-x) + log_2 (2-x) = log_2 (1-x)$ ?
How do you find the derivative of $cos (2 x)$ $cos (2x)$ ?
How do you use polynomial division to determine whether x=3 is a root of $x^{3} + x^{2} + 15 - x$ $x^3+x^2+15-x$ ?
How do you find the area of a parallelogram with two sides and an angle?
What is the derivative of $f (x) = ln \sqrt{\frac{2 x - 8}{3 x + 3}}$ $f(x) = ln sqrt ((2x-8 )/( 3x+3))$ ?
How do you find $\int \frac{x^{2} + 1}{x (x^{2} - 1)} d x$ $int (x^2+1)/(x(x^2-1)) dx$ using partial fractions?
How do you write the partial fraction decomposition of the rational expression $\frac{s^{3} + s - 4}{(s^{2} + 1) (s^{2} + 4)}$ $(s^3+s-4)/( (s^2+1)(s^2+4))$ ?
How do you prove $sin (x) x tan (x) + cos (x) = sec (x)$ $sin(x) x tan(x) + cos(x) = sec(x)$ ?
How do you find the derivative of $[3 cos 2 x + {sin}^{2} x]$ $[3 cos 2x + sin^2 x]$ ?
How do you rationalize the denominator of $\frac{7 - \sqrt{5}}{7 + \sqrt{5}}$ $(7-sqrt5)/(7+sqrt5)$ ?
How do you solve the inequality $2 x^{3} + 13 x^{2} - 8 x - 46 \geq 6$ $2x^3 + 13x^2 -8x - 46 >=6$ ?
How do you differentiate $f (x) = \frac{1}{{(ln (1 - (e^{- cos (x^{2})})))}^{\frac{3}{2}}}$ $f(x)=1/(ln(1-(e^(-cos(x^2)))))^(3/2)$ using the chain rule?
In rhombus $A B C D$ $ABCD$ , the length, in inches of $A B$ $AB$ is $3 x + 2$ $3x + 2$ and $B C$ $BC$ is $x + 12$ $x + 12$ . Wha tis the number of inches in the length of $D C$ $DC$ ?
How do you find the derivative of $y = \frac{1 + {cos}^{2} x}{1 - {cos}^{2} x}$ $y = (1 + cos^2x) / (1 - cos^2x)$ ?
Can $y = x^{2} - 3 x - 28$ $y= x^2-3x-28$ be factored? If so what are the factors ?
How do you simplify $\frac{3 + i}{- 2 + i}$ $(3+i)/ (-2+i)$ ?
Question #b7e2c
How do you integrate $\int \frac{x^{2} + 1}{(2 x - 1) (x + 1) (x - 1)} d x$ $int (x^2 + 1)/ ((2x-1)(x+1)(x-1)) dx$ using partial fractions?
How do you graph and solve $5 + ∣ ∣ 1 - \frac{x}{2} ∣ ∣ \geq 8$ $5 + |1-x/2| >=8$ ?
How do you simplify $\frac{\sqrt{3}}{\sqrt{6} - 1} - \frac{\sqrt{3}}{\sqrt{6} + 1}$ $sqrt3/(sqrt6 -1) - sqrt3/(sqrt6 + 1)$ ?
How would you solve the system of these two linear equations: $2 x + 3 y = - 1$ $2x + 3y = -1$ and $x - 2 y = 3$ $x - 2y = 3$ ? Enter your solution as an ordered pair (x,y).
A triangle has sides A, B, and C. The angle between sides A and B is $\frac{7 π}{12}$ $(7pi)/12$ . If side C has a length of $1$ $1$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?
How do you simplify $i^{3} (2 i^{6} - 4 i^{21})$ $i^3(2i^6-4i^21)$ ?
What are the first and second derivatives of $f (x) = ln (e^{- x} + x e^{- x})$ $f(x)=ln(e^-x + xe^-x)$ ?
How do you find the vertex of $y = x^{2} - 8 x + 7$ $y = x^2-8x+7$ ?
Is it possible to factor $y = 2 x^{2} + 13 x + 6$ $y=2x^2 + 13x + 6$ ? If so, what are the factors?
How do you divide $\frac{2 + 5 i}{5 + 2 i}$ $(2+5i)/(5+2i)$ ?
How do you prove $sin^(2)(x+π/4)-sin^(2)(x-π/4)=2sinx*cosx$ ?
How do you differentiate $g(x) = sqrt(x^3-4)cos2x$ using the product rule?
How do you differentiate $f(x)=sin((x/(x^2-1))^(3/2))$ using the chain rule?
How do you differentiate $f(x)=ln (x^2+1)^(1/2)$ ?