Find the indicated partial sum of the series. $\sum_{n=1}^{\infty} 4\left(-\frac{1}{2}\right)^{n}$ Third partial sum

Find the sum.

$$\sum _ { k = 2 } ^ { 5 } ( 3 k )$$

Find the gradient field of the function.

$$f ( x , y , z ) = \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) ^ { - 1 / 2 }$$

Determine the elements in each of the following subgroups of the group of symmetries of a square. $\left\langle\mu_{180}, \rho_{\mathrm{V}}\right\rangle$

Which has more acceleration when moving in a straight line-a car increasing its speed from 50 to 60 km/h, or a bicycle that goes from zero to 10 km/h in the same time? Defend your answer.

What must you do to construct the midpoint of a segment? A. Measure half its length. B. Construct an angle bisector. C. Measure twice its length. D. Construct a perpendicular bisector.

The mean and standard deviation of a normal variable X are given. Find the indicated probability. $\mu=0$, $\sigma=2$; $P(X \leq-1)$

Find the product.

$$( x - 1 ) ^ { 10 }$$

Graph each function. $y=-x^{2}-3 x+6$

Hector planted 185 flowers in 2 days. There were 5 volunteers, including Hector, who each planted about the same number of flowers. About how many flowers did they plant?

Suppose a new car is worth $\$30,000$. You can use the function $y = 30,000(0.85)^x$ to estimate the car's value after $x$ years. What is the decay factor? What does it mean?

Write a formal negation for each of the following statements: a.

$$\forall$$

fish x, x has gills. b.

$$\forall$$

computers c, c has a CPU. c.

$$\exists$$

a movie m such that m is over 6 hours long. d.

$$\exists$$

a band b such that b has won at least 10 Grammy awards.

Los anillos ____________ elegantes.

Determine whether or not the sequence is arithmetic. If it is, find the common difference. 0, 1, 3, 6, 10, . . .