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I am given the definite integral of Sqrt(x) with the interval [0,36] and 18 equally spaced sub-intervals.

What is the minimum number of equally spaced intervals needed in the case that the difference between the upper and lower Riemann sum estimates for the definite integral is less than 1.

The water depth (tide) y measured in meters at a particular river varies sinusoidally in a

24 hour cycle. It reaches its maximum value (high tide) of 5m at 7am every sunrise, and

its minimum value (low tide) is 1m. Find a formula for y = f(t) and hence sketch one

period its graph, whereby t is measured in hours and it is midnight when t = 0.

How do I write the formula for this?

An open box is made from a 4m^2 (4 meter squared) piece of cardboard by cutting small square pieces of side length x from each corner and folding up the sides.

a. Write down a formula for the volume V(x) on a suitable physical domain.

b. What is the maximum volume of the box? Justify.

Can someone please help with these 2 questions. thanks

An open box is made from a 4m^2 (4 meter squared) piece of plastic by cutting small square pieces of side length x from each corner and folding up the sides.

a. Write down a formula for the volume V(x) on a suitable physical domain.

b. What is the maximum volume of the box? Justify.

Can someone please help with these 2 questions. thanks

There are electron sources of 10kV, 20kV and 30kV. What is the minimum wavelength radiation emitted by the 20kV source.

Can someone please show me how to work this out? thanks.

What is the concentration of lead in a water sample with an absorbance of A = 0.0068 if a reference sample containing 0.100ppm lead has an absorbance of 0.0165?

Can someone please show me how to work this out.

There are electron sources of 10kV, 20kV and 30kV. What is the minimum wavelength radiation emitted by the 20kV source.

Can someone please show me how to work this out? thanks.

Can someone please show me how to answer the following question.

A random sample of 18 observations from a normal population with unknown mean μ gives the following summary:

18 18

∑i=1 xi = 316.9 and ∑i=1 xi^2 = 5591.83

Can someone please show me the lines of working for questions a and b as i am a bit confused as to how to answer the questions.

In a lottery, 2250 numbers are drawn out at random without replacement from a box containing 150,000 ticket numbers. After all the 2250 numbers are drawn, they are returned to the box and a prize winning number is drawn. If this prize winning number is the same as one of the 2250 previously drawn jackpot numbers, a jackpot prize is awarded. If the jackpot prize is not won (that is, the prize winning number is different from one of the 2250 jackpot numbers), then the prize winning number is returned to the box and another prize winning number is drawn. The selection process is repeated until the jackpot prize is won.

a. Find the probability that the jackpot prize is won at any draw.

b. The Jackpot prize is initially $10000 and it increases by $10000 each time the jackpot prize is not won. Find the probability that the jackpot prize will exceed $250,000 when it is finally won.

Can someone please show me the lines of working for questions a and b as i am a bit confused as to how to answer the questions.

In a lottery, 2250 numbers are drawn out at random without replacement from a box containing 150,000 ticket numbers. After all the 2250 numbers are drawn, they are returned to the box and a prize winning number is drawn. If this prize winning number is the same as one of the 2250 previously drawn jackpot numbers, a jackpot prize is awarded. If the jackpot prize is not won (that is, the prize winning number is different from one of the 2250 jackpot numbers), then the prize winning number is returned to the box and another prize winning number is drawn. The selection process is repeated until the jackpot prize is won.

a. Find the probability that the jackpot prize is won at any draw.

b. The Jackpot prize is initially $10000 and it increases by $10000 each time the jackpot prize is not won. Find the probability that the jackpot prize will exceed $250,000 when it is finally won.

Can someone please show me the lines of working for questions a and b as i am a bit confused as to how to answer the questions.

In a lottery, 2250 numbers are drawn out at random without replacement from a box containing 150,000 ticket numbers. After all the 2250 numbers are drawn, they are returned to the box and a prize winning number is drawn. If this prize winning number is the same as one of the 2250 previously drawn jackpot numbers, a jackpot prize is awarded. If the jackpot prize is not won (that is, the prize winning number is different from one of the 2250 jackpot numbers), then the prize winning number is returned to the box and another prize winning number is drawn. The selection process is repeated until the jackpot prize is won.

a. Find the probability that the jackpot prize is won at any draw.

b. The Jackpot prize is initially $10000 and it increases by $10000 each time the jackpot prize is not won. Find the probability that the jackpot prize will exceed $250,000 when it is finally won.

Can someone show how me how to work out these probability questions?

For a randomly selected child, the probability of IQ less than 106 is P(IQ<106) = 0.7

a. For a group of 12 children, find the probability that at least 5 of them will have IQ's less than 106.

b. For a group of 15 children, find the probability that exactly 10 will have IQ's less than 106.

Hi, I was just wondering, how do i convert a decimal e.g. 0.78 to pi..

For example 0.78 = pi/4

What is the correct process to get an answer in terms of pi rather than writing a decimal/number

How do i differentiate

sinx / cosx

AND

x^2 sin(4x+3)

How do i differentiate

sinx / cosx

AND

x^2 sin(4x+3)

How do i simplify this logarithm.

e^4lnx^2-lnx+ln3

ln(5x) + ln(2/x)

Can someone show me the full steps as to how to obtain an answer for this

At the beginning of january i had tonsillitis my symptoms were fever, headaches, very sore throat and discomfort when swallowing, red throat and tonsils etc. i finished my prescribed antibiotics and it's been a month now and all my symptoms have gone now but my throat is still red with absoloutely no pain. is this normal?

8 Days ago my GP said i have tonsillitis so i got prescribed some antibiotics (LPV-500) my tonsillitis was really bad for the first days of having it as it was painful and uncomfortable to swallow. 8 days has passed and i need to finish my antibiotics in 10 days (so 2 more days left). Today and the past few days my throat and tonsills are still very red but there is no more pain and discomfort. Is this a normal part of the healing process of tonsillitis? should it be gone once i finish my antibiotics course in 2 days time?? thanks :)