Ricky

1. Find the value of constant C for which the integral

(x/(x^2+1))-C/(3x+1) from 0 to infinity

converges.

Evaluate the integral for this value C.

2.

Show that if a>-1 b>a+1 , then the following integral is convergent.

x^a/(1+x^b) from 0 to infinity

please write a program to generate the sum of all even numbers between 1and 100?

find the density of nitrogen dioxide at 0.97 atm and 35 oC

use mean value theorem to show that abs(sinb-sina)<=abs(b-a)

note:<=is smaller than or equal to,not arrow

1.A balloon is rising at a constant speed of 7 ft/sec. A boy is cycling along a straight road at a speed of 10 ft/sec. When he passes under the balloon, it is 45 ft above him. How fast is the distance between the boy and the balloon increasing 3sec later?

2.A container in the shape of an inverted cone has height 16cm and radius 5cm at the top. It is partially filled with liquid that oozes through the sides at a rate proportional to the area of the container that is in contact with the liquid. If we pour the liquid into the container at a rate of 2cm^3/min, then the height of the liquid decreases at a rate of 0.3cm/min when the height is 10cm.

If we want to keep the liquid at a constant height of 10cm, at what rate should we pour the liquid into the container?

在化工書上，我看到一化學式

2CuCl2+Na2SO3 -> 2CuCl+2NaCl+SO3(g)

請問這化學式有可能發生嗎?

1.設有一個鹽酸溶液，其ph值為1，那其濃度百分比是多少?

2.如上題，但鹽酸改為硫酸。

請提供解法,plz