Central Park is a rectangular shaped park in the middle of New York City. The area of the park is 3.41 km2. How many acres is the park to the nearest acre? (Note: 1 km2 = 247 acres) Use a unit multiplier and show your work.

Say whether the given distribution can be a relative frequency distribution. If your answer is no, indicate why not.

$$\begin{matrix} \text{Outcome} & \text{HH} & \text{HT} & \text{TH} & \text{TT}\\ \text{Rel. Frequency} & \text{.5} & \text{.4} & \text{.5} & \text{-.4}\\ \end{matrix}$$

Find all possible functions ƒ with the given derivative. ƒ'(x) = e˟

Find the value of k that would make the left side of each equation a perfect square trinomial. $36 x^{2}-k x+1=0$

Picture Compare how the nervous, respiratory, and circulatory systems interrelate to provide life support to body cells. How would homeostasis be affected if one of these systems could not function?

Let L be the line 2x + ky = 3k. Prove that (a) if k is not equal to -6 , then L does not have slope $\dfrac{1}{3}$. (b) for every real number k, line Lis not parallel to the x-axis. (c) there is a unique real number k such that L passes through (1, 4). (d) the x-intercept of L is less thank if and only if k is negative.

Solve the equation.

$$5 x ^ { 2 } + 33 = 3$$

Sketch the graphs of the three functions by hand on the same rectangular coordinate system. Verify your results with a graphing utility.

$$\begin{array}{l}{f(x)=x} \\ {g(x)=x-4} \\ {h(x)=3 x}\end{array}$$

a) Graph the function

$$f\left(x\right)=-2\left(x+1\right)^2+3$$

. b)

$$f\left(-3\right)$$

. c) What does

$$f\left(-3\right)$$

represent on the graph of

$$f$$

? d) Use the equation to determine i)

$$f\left(1\right)-f\left(0\right)$$

, ii)

$$3f\left(2\right)-5$$

, and iii)

$$f\left(2-x\right)$$

.

Sketch the graph, noting the transition points and asymptotic behavior.

$$y = \sqrt { 2 - x ^ { 3 } }$$

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) Σ_(n=1)^∞ k(k+1)(k+2)...(k+n-1)x^n / n!, k ≥ 1

Find the amplitude, period, and horizontal shift of the function, and graph one complete period.

$$y = \cos \left( \frac { \pi } { 2 } - x \right)$$

You will write expressions using the formula for the volume of a cylinder. Recall that the volume of a cylinder can be found using the formula

$$v = \pi r ^ { 2 } h$$

in which v = volume, r = radius, and h = height. Draw two cylinders of different sizes.

Describe el resultado de cada acción usando un participio pasado.
Cuando pierdo mis gafas de sol...