Suppose the quantity x of super titan radial tires made available each week in the marketplace is related to the unit-selling price by the following equation where x is measured in units of a thousand and p is in dollars. $ p - \dfrac{1}{2}x^2 = 48 $ how fast is the weekly supply of super titan radial tires being introduced into the marketplace when x = 5, p = 60.5, and the price/tire is decreasing at the rate of $3/week? (round your answer to the nearest whole number.)

dx/dt = -3/5 time/week.

Explanation:

differentiating both sides w.r.t t time.

given

times / week

600 tires/week   OR dx/dt=-3/5 thousand tires/week

Explanation:

where x is measured in units of a thousand and p is in dollars. $ p - \dfrac{1}{2}x^2 = 48 $ How fast is the weekly supply of Super Titan radial tires being introduced into the marketplace when x = 5, p = 60.5, and the price/tire is decreasing at the rate of $3/week?

p-1/2x^2=48

differentiating both sides with respect to time

d/dt(p-1/2x^2)=d/dt(48)

dp/dt+x dx/dt=0

-3=5dx/dt

dx/dt=-3/5

recall that x is measured in units of thousands

dx/dt=-0.6*1000

dx/dt=600 tires/week

OR dx/dt=-3/5 thousand tires/week

the  600  quantity supply of Super Titan radial tires decreases per each week

the correct answer would be b, when, queen, calder hall and london.

explanation:

we always capitalize words when a paragraph or sentence is starting, when an important name is used, when a place is being written, or simply when a noun is used, etc. so in this sentence, sentence is starting from 'when', so it will be written in capital letters. secondly, queen is considered to be an important person, so it will also be written in capital letter. next, the name of the town is mentioned, i-e calder hall, which will also be written in capital letters. in the last,   city name is being used, 'london', which will also be written in capital letters. so option b is the most appropriate one.

the correct option is c