I love to learn, and I love to explain what I have learned. I spent my time learning from great people, and I hope to follow in their footsteps with how I teach and explain.
A stick of unit length is broken into two picces. Find the cxpected ratio of the length of the longer piece to the length of the shorter piece.
Determine which of the matrices below are in reduced row-echelon form:a. $\left[\begin{array}{ccccc}1 & 2 & 0 & 2 & 0 \\ 0 & 0 & 1 & 3 & 0 \\ 0 & 0 & 1 & 4 & 0 \\ 0 & 0 & 0 & 0 & 1\end{array}\right]$b. $\quad\left[\begin{array}{lllll}0 & 1 & 2 & 0 & 3 \\ 0 & 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0\end{array}\right]$$\mathbf{c} .\left[\begin{array}{llll}1 & 2 & 0 & 3 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 2\end{array}\right]$$\begin{array}{llllll}\text { d. } & {\left[\begin{array}{llllll}0 & 1 & 2 & 3 & 4\end{array}\right]}\end{array}$
Suppose matrix $A$ is transformed into matrix $B$ by means of an elementary row operation. Is there an elementary row operation that transforms $B$ into $A ?$ Explain.
Suppose matrix $A$ is transformed into matrix $B$ by a sequence of elementary row operations. Is there a sequence of elementary row operations that transforms $B$ into $A$ ? Explain your answer. See Exercise 26.
Prove that the sine Fourier components $\left(b_{n}\right)$ are zero for even functions - that is, when $x(-t)=x(t) .$ Also prove that the cosine Fourier components $\left(a_{0}\right.$ and $\left.a_{n}\right)$ are zero for odd functions - that is, when $x(-t)=-x(t)$.
Prove that opposite sides of a parallelogram are congruent.Given: Parallelogram ABCDProve: AB ≅ CD, AD ≅ CBConstruct an auxiliary line that is the diagonal BD.
the equation is tan(0.008)/tan(0.005) I tried 1.600000 , 1.600001 and 1.600002 but he says that I put incorect answers.
Find the radius of a circle with a circumference of 36 pi inches
A sector of a circle of diameter 38 cm has a central angle of 275∘275∘. Find the arc length of the sector and the area of the sector.
A U.S. Geological Survey map has a scale of 1:22600. If two buildings are 3.69 miles apart, how many inches apart are they on the map?
