Celine goes to the book fair where paperback books are $2 and hardback books are $4.50. Celine buys three

Mathematics

1 answer:

prohojiy [21]3 years ago

7 0

Answer:

7. 35-(2*3+5*4.5)

8. 6.5

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Given the following vector field and oriented curve C, evaluate ModifyingBelow Integral from nothing to nothing With Upper C Bo

sladkih [1.3K]

Answer:

The value of the line integral is $\frac{157}{2}$ .

Step-by-step explanation:

Given a path C, with parametrization r(t) for $t_0\leq t \leq t_1$ , we have that

$\int_{C}F dr = \int_{t_0}^{t_1} F(r(t)) \cdot r'(t) dt$ where $\cdot$ is the dot product between two vectors.

In our case, we have $r(t) = (6t,11t^2), 0\leq t\leq 1$ . Then $r'(t) = (6,22t)$ . In this case we have that F(x,y) = (x,y). Then, $F(r(t)) = (6t, 11t^2)$

$\int_{C}F dr = \int_{0}^{1} (6t,11t^2)\cdot(6,22t) dt = \int_{0}^{1} 36t+11\cdot 22 t^3= \left.(36\frac{t^2}{2}+11\cdot 22 \frac{t^4}{4})\right|_{0}^{1} = \frac{36}{2}+\frac{11\cdot 22}{4}= \frac{157}{2}$

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4 years ago

A camera cost $940. If the sales tax rate is 4%, what is the total price?

QveST [7]

Since a tax of 4% would be added to the cost price,

The total percentage = 100% + 4% = 104% of the cost

= 104% of 940

= (104/100) * 940

= 1.04 * 940

= 977.6

Total price = $977.60

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4 years ago

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A go-Kart's top speed is 607,200 feet per hour. What is the speed in miles per hour?

Verizon [17]

(607,200 ft/hr)*(1 mi / 5280 mi) = 115 mph

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3 years ago

Sixteen times a number j is no less than -2

labwork [276]

16x2=32 hope This helps

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