题目
题目

MATHS 208 Quiz 29

单项选择题

Consider the differential equation:  . If the general solution is      , which one of the following is the value of   ?

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The given problem text appears incomplete for a rigorous analysis. First, I will restate what is present: the question refers to a differential equation and mentions a general solution, but neither the differential equation itself nor the explicit form of the general solution is shown in the text provided. Additionally, the answer options array is empty, which means there are no discrete choices to ......Login to view full explanation

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A cylindrical tank has a base radius of 5 cm and a height of 9 cm and is initially filled with water. The water flows out through a hole in the bottom of the tank at a rate of 5\( \sqrt[]{h} \)cm3/min, where h cm is the height of the water in the tank at time t. The time taken in minutes for the tank to empty is given by:

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Question text 2Marks Let [math: y] be the solution to the initial value problem [math: x2dydx=ey and y(e)=1.]x^2\frac{dy}{dx}=e^{y}\ \text{ and }\ y(e)=1. Then the graph of [math: y] has an asymptote at [math: x=]Answer 5[input] and [math: y(1)=]Answer 6[input].Notes Report question issue Question 38 Notes

The rate of consumption of a particular good is given by the differential equation  𝑑 𝑄 𝑑 𝑡 = 1560 𝑒 0.012 𝑡 . We know that Q(0)=0, that is Q=0 when t=0. Find Q(10)    Note 1:  There is an error margin of 5 in this question. That is, if  the answer is 112.24, then any number in the interval [107.24, 117.24] will be accepted as correct.   Note 2: Note: Just write the number in the space provided below. For example, if Q(10)= 6.6, then just write: 6.6

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