1) for time 0
a) at time t=3, there are 2.5 cubic feet of water in the tub. write an equation for the locally linear approximation of w at t=3, and use it to approximate the volume of water in the tub at the time.

b)find w"(8). using correct units interpret the meaning of w"(8) in the context of the problem.

c)is there a time t, for 5
d) the tub is in the shape of a rectangular box that is0.5 foot wide, 4 feet long, and 3 feet deep. what is the rate of change of the depth of the water in the tub at time t=6

2)

{17/2 - 3/2cos(pi t/6) for 0< =t< =6
{10 - 1/5(t-6)^2 for 6
the depth of a river at a certain point is modeled by the function w defined above where w(t) is measured in feet and time t, is measured in hours

a) find w"(8). using correct units explain the meaning of w '(8) in the context of the of problem

b) the graph of w is concave down for 3< =t< =3.5 use the line tangent to the graph of w at t=3 to show that w(3.5)< = 9

c) find limit as t approaches 2 for

lim t -> 2 ( w(t) - t^2 + 3/4) / t - 2

i think u have 12 apples sorry again i don't really know if it correct i'm just tryna hrlp people out.

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours

true. i hope this ! go answer some of my newest