Find the domain and range of each of the following functions: $f : x \mapsto \sqrt{x}$

Find the quadratic equation $y=a x^{2}+b x+c$ that goes through the points $(3,20),(2,11)$, and $(-2,15)$.

X(t) is a wide sense stationary random process with average power equal to 1. Let $\Theta$ denote a random variable with uniform distribution over $[0,2 \pi]$ such that X(t) and $\Theta$ are independent. (a) What is $\mathrm{E}\left[X^{2}(t)\right]$? (b) What is $\mathrm{E}\left[\cos \left(2 \pi f_{c} t+\Theta\right)\right]$? (c) Let $Y(t)=X(t) \cos \left(2 \pi f_{c} t+\Theta\right)$. What is E[Y(t)]?

Choose the letter of the correct term or concept below to complete the sentence. a. prototype b. algorithm c. functional fixedness d. insight e. phonemes f. syntax g. semantics h. mental set i. thinking j. metacognition. Thinking about thinking is called ____________.

Compute the limit of the convergent sequence.

$$\{\ln n-\ln (n+1)\}$$

Use the given information about f(x) and its derivatives to determine whether Simpson’s Rule. would be exact, underestimate or overestimate the integral (or there’s not enough information to tell). $f^{\prime \prime}(x)<0, f^{\prime}(x)<0$

Estimate each quotient using compatible numbers.

$$3.86 \div 1.95$$

(a) An object of mass 100 g suspended from the end of a rubber band has a vibrational frequency of 2.0 Hz. Calculate the force constant of the rubber band. (b) An object of mass 1.0 g suspended from the end of a spring has a vibrational frequency of 10.0 Hz. Calculate the force constant of the spring.

What is the first person, singular, preterit form of the verb llegar ?

Find the slope-intercept form of the equation of each line that passes through the point P and makes angle $\theta$ with the positive x-axis. $P = ( 3 , - 1 ) , \theta = 60 ^ { \circ }$

Which is a solution of $3 x-5=16 ?$ $(A)-7$

$$\begin{array}{ll}{B} & {3 \frac{2}{3}}\end{array}$$

$\mathrm{C} 7$ CD 10$\frac{1}{3}$

Sketch the graph of the equation $y = 1 - | x - 3 |$ by translating. reflecting. compressing, and stretching the graph of $y = | x |$ appropriately. and then use a graphing utility to confirm that your sketch is correct.

Sketch the graph of the equation $y = 3 - \sqrt { x + 1 }$ by translating, reflecting, compressing, and stretching the graph of $y = \sqrt { x }$ appropriately, and then use a graphing utility to confirm that your sketch is correct.

An electrostatic paint sprayer has a 0.200-m-diameter metal sphere at a potential of 25.0 kV that repels paint droplets onto a grounded object. (a) What charge is on the sphere? (b) What charge must a 0.100-mg drop of paint have to arrive at the object with a speed of 10.0 m/s?