When you add a suffix that begins with a vowel to a word that ends in a consonant, the spelling of the original word does not change. For example, inspect + or = inspector. Add -ance, -ish, or -er to each word below to form three properly spelled words. travel

Use differentials to approximate $(16.01)^{3 / 2}+2 \sqrt{16.01}$.

An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. $\int_{-1}^{1} e^{x} d x$

a. What is a front? b. Name the four types of fronts and describe the type of weather each brings. c. What type of front would most likely be responsible for several days of rain and clouds?

$$\begin{array}{l}{y=m x+b} \\ {y=n x+c}\end{array}$$

where m, b, n, and c are nonzero constants. If the system has an infinite number of solutions, discuss the relationships among the four constants.

Consider $y=2 e^{-x}+1$. Find y when $x=0, \pm 1, \pm 2$.

A 3-cm-diameter horizontal pipe attached to a surface makes a $90^{\circ}$ turn to a vertical upward direction before the water is discharged at a velocity of 9 m/s. The horizontal section is 5 m long and the vertical section is 4 m long. Neglecting the mass of the water contained in the pipe, the bending moment acting on the base of the pipe on the wall is $(a) 286 N\cdot m(b) 229 N\cdot m(c) 207 N\cdot m(d) 175 N\cdot m(e) 124 N\cdot m$

A wooden access ramp is being built to reach a platform that sits 30 inches above the floor. The ramp drops 2 inches for every 25-inch run. What slopes could be used to obtain the 30-inch rise and still meet design requirements?

At what temperature would the rms speed of helium atoms equal the escape speed from Earth, $1.12 \times 10^4$ m/s.

Write the matrix for the system of equations or the system of equations for the matrix.

$$a. \left\{ \begin{array} { r } { 3 x - y = 4 } \\ { - 2 x + 7 y = 20 } \end{array} \right. b.\left[ \begin{array} { r r r r } { 0 } & { 2 } & { 3 } & { 4 } \\ { 8 } & { - 1 } & { - 2 } & { 5 } \\ { 2 } & { 0 } & { 1 } & { 9 } \end{array} \right]$$

All societies are faced with what basic choices?

either solve the given system of equations, or else show that there is no solution. x1−x3=03x1+x2+x3=1−x1+x2+2x3=2

The light-independent reactions of photosynthesis are also known as the a. Calvin cycle b. Priestley cycle c, Ingenhousz cycle d. van Helmont cycle

Explain why in the collaboration graph of mathematicians a vertex representing a mathematician is in the same connected component as the vertex representing Paul Erdös if and only if the mathematician has a finite Erdös number.