Mathematics — popular questionsPage 9

2. Seating 8 people in a row at a football game: 5 adults, 3 children

volume of the solid generated when R is revolved about the x-axis

Which interval is the domain of the function $g(x)=\sqrt{x-2}+2x$?

Solve the inequality: $|2x-3|\le 5$

Solve the equation for all values of x by completing the square

x^2+4x+3=0

Expand $(\cos x+i\sin x)^2$ and solve $(\cos x+i\sin x)^2=1$

What is the value of f'(-4)?

Sketch the set {(x,y) | x+y=3, x,y ∈ R}

Sketch the set {(x,y) | x=2y, x,y ∈ R}

-2x(y-1) = dy/dx solution y=1+Ae^{-x^2}

cube side length increasing at 1/3 inch per second volume rate

Evaluate lim x→3 (g(2x+1)-5)/(x^2-9)

If $m(x)=\frac{g(3x-2)}{4x}$, what is the instantaneous rate of change at $x=2$?

If $k(x)=g(x)\cdot f'(7x)$, what is the slope of the tangent line at $x=1$?

Consider the curve $xy-2x=-9$. Evaluate $\frac{dy}{dx}$ at $(1,-7)$

If $j(x)=e^{2x-2}+2n(x^2+x)$, find $j'(1)$

Rewrite the radical expression as an exponential expression: $\sqrt[3]{2x^8}$

Rewrite the exponential expression as a radical expression: $(3x+3)^{6/7}$

Rewrite the exponential expression as a radical expression: $-3x^{2/3}$