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Please show all steps. 7. Find the specific solution given the initial condition

ID: 2847051 • Letter: P

Question


Please show all steps.

7. Find the specific solution given the initial condition y-2 y (0) 6 dx 8. The number N of bacteria in a culture is given by N 3200e f N 300 when 4 hours, find k (to the nearest tenth) and then determine approximately how long it will take for the number of bacteria to triple in size. 9. Suppose that the population of Zeegers grows at a rate proportional to itself, doubling every 12500 years. When the Zeeger population has reached 93 percent more than their current population, they plan to invade Earth. How many years will it be before the Zeegers attack Earth? 10. At what rate r of continuous compounding does a sum of money double in 15 years? 11. Give the equation for the tangent and normal to the curve f( -In 2x-5 x-3 at the point (3,1). 12. Given (2x Use the trapezoid method with n 4to approximate the integral. Use the midpoint method with n*4 to approximate the integral. Use Simpson's rule with n S4 to approximate the integral. 13. Determine the values of n which guarantee a theoretical error less than E ifthe integral is estimated by the trapezoidal rule if E 30.01. 2 dr. 14. Plot the following polar coordinates: 15. Convert the following into rectangular coordinates b. -2, T

Explanation / Answer

Here's the first

dy/(y-2)= dx

ln (y-2)= x+C

y-2= Ce^x

y= ce^x +2

Since y(0)= 6 C=4

y= 4e^x +2

The comments are right, though, no one is going to answer all the questions for 750 points. You need to break the question up.

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