Calculus Answers

differentiate f(x)=e^((1/2)x+cosx)

A tank measuring 2m times 50cm times im is 3/5 filled with water.How many litres of water must be added to fully fill the tank?

A tank with a base area of 3200cm and a height of 50cm is half filled with water.How many more litres of water must be added so that the water will have a height of 28cm?

How does the value expression 7c change each time you increase the value of c by 1?

How does the value of the expression[b] x+5 [/b]change each time you increase the value of x by 1?

Prove that integral(bottom=a, top=b) (x[sup]2[/sup]+1)e[sup]-x^2[/sup]& dx & >= & (e[sup]-a^2& [/sup]- e[sup]-b^2[/sup])

A man 6 ft. tall walks away from a lamppost 16 ft. high at a rate of 5 mi per hr. How fast does the of his shadow move?

Determine the relative extrema of the function h = x[sup]2[/sup] + (y - 3)[sup]2[/sup] + (z + 1)[sup]2[/sup]

The total earnings of company A and company B was $9 500 000.The total earnings of company B and C was $5 450 000.Company A earnings was 6 times as much as company C earnings.How much did company B earn?

Four times as many as adults attended a fundraising concert.A child ticket cost $7.A total of $5520 was collected.How many people attended the concert?