Solve: y""-6y"+3y+10y = 560e y(0) = 2, y'(0) = 15, y"(0) = −1 Hint: (r+1) is a factor of the characteristic equation. y(t) =
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y""-6y"+3y+10y = 560e
y(0) = 2, y'(0) = 15, y"(0)
=
−1
Hint: (r+1) is a factor of the characteristic
equation.
y(t) ="
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- Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.(5/4)=((y+2)/(6)) solve for y
- 4/7 X • (+) - where: (205) = yt The expression r = 20/7 and t = |The windchill index announced during the winter by the weather bureau measures how cold it "feels" for a given temperature t (in degrees Fahrenheit) and wind speed w (in miles per hour). It is calculated by the formula C(t, w) = 35.74 + 0.6215t - 35.75w 0.16 + 0.4275tw0.16 + '.+ If the temperature is 31 degrees and the wind speed is 10 miles per hour, estimate the change in the windchill temperature if the wind speed increases by 4 miles per hour and the temperature drops by 5 degrees. (Round your answer to two decimal places.)(i) A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand,where P(t) =6?^2 + 5? /(? + 1)^2. What happens to production in the long run ? (ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that y =0.5(x^2 + 3x) /x^3 + x^2 + 4x.Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?
- solve for E(Rm) E(Ri) = Rf + [E(RM) – Rf] × bi .109 = .028 + [E(RM) – .028](.90)Based on data from 1997-2005, the amount of yogurt produced in the UnitedStates annually may be modeled byy(t) = 14.99t2 + 62.14t + 1555 million poundswhere t is the number of years since 1997.(a) Find and interpret the meaning of y(12).(b) Find and interpret the meaning of y'(12).In the picture
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