Questions in mathematics

Questions in mathematics

📝 Answered - Make n the subject: [tex] \begin{array}{l} b n-w=f \\ n=(f+w) b \end{array} [/tex]

📝 Answered - What is the range of the function $f(x)=3 x^2+6 x-8$ ? A. {y | y ≥ -1} B. {y | y ≤ -1} C. {y | y ≥ -11} D. {y | y ≤ -11}

📝 Answered - Consider the following function. [tex]f(x)=6 \sin (x)+\sin (2 x), \quad[0,2 \pi][/tex] Find [tex]f^{\prime}(x)[/tex]. [tex]f(x)=6 \cos (x)+2 \cos (2 x)[/tex] Find [tex]f^{\prime \prime}(x)[/tex]. [tex]f^{\prime}(x)=-6 \sin (x)-4 \sin (2 x)[/tex] Find the points of inflection of the graph of the function. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) smallest x-value (x, y) = ( (x, y) = ([tex]\pi[/tex], 0,) largest x-value (x, y) = ( concave upward ([2.418, [tex]\pi[/tex]) \cup (3.865,2 [tex]\pi[/tex])[/tex]) concave downward ([0,2.418) \cup ([tex]\pi[/tex], 3.865)[/tex])

📝 Answered - Find the volume of the solid of revolution formed by rotating the region bounded by $y=x^3$ and $y=x$ about the line $x=-2$. Use the shell method. V = [ ? ] Round your answer to the nearest thousandth.

📝 Answered - Simplify [tex]\frac{1}{5} \times \frac{5}{6} \times \frac{3}{7} \times \frac{21}{26}[/tex]

📝 Answered - Use identities to fill in the blank with the appropriate trigonometric function name. [tex]$\csc 66^{\circ}=\frac{1}{24^{\circ}}$[/tex] [tex]$\csc 66^{\circ}=\frac{1}{\square 24^{\circ}}$[/tex]

📝 Answered - (a) Find the equation of the circle passing through the origin and whose center lies on the line [tex]x+y=1[/tex]. (b) Find the equation of the circle passing through the points [tex](-6,5)[/tex], [tex](3,-4)[/tex], and [tex](2,1)[/tex]. (c) Find the equation of the circle passing through the points and whose center lies on the line [tex]3x-2y=1[/tex].

📝 Answered - Write the equation of a polynomial function that passes through A, B, C, and D. f(x) =

📝 Answered - Which expression is equivalent to [tex]$\log 18-\log (p+2)$[/tex]? A. [tex]$\log \frac{p+2}{18}$[/tex] B. [tex]$\log \frac{18}{p+2}$[/tex] C. [tex]$\log \frac{20}{p}$[/tex] D. [tex]$\log [18 \cdot(p+2)]$[/tex]

📝 Answered - Which points are solutions to the linear inequality [tex]y\ \textless \ 0.5x+2[/tex]? Select three options. [tex](-3,-2)[/tex] [tex](-2,1)[/tex] [tex](-1,-2)[/tex] [tex](-1,2)[/tex] [tex](1,-2)[/tex]