Use the general solution y of the differential equation to find a particular solution that satisfies the indicated initial condition. Graph the particular solutions for x ? 0.y = 5 + Cex; y' = y - 5(A) y(0) = 3(B) y(0) = 5(C) y(0) = 7
What will be an ideal response?
(A) y = 5 - 2ex
(B) y = 5
(C) y = 5 + 2ex
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Solve the initial value problem.Differential Equation: = (-cos t)i + (4t3- 2)jInitial Condition: r(0) = 9j
A. r(t) = (sin t)i + (12t2 + 9)j B. r(t) = (-sin t)i + (t4)j C. r(t) = (-sin t)i + (t4 + 9)j D. r(t) = (-sin t)i + (t4- 2t + 9)j
Indicate whether the statement is true or false.Some rational numbers are integers.
A. true B. false
Solve using the elimination method.6x + 5y = 28x - 5y = 96
A. (8, 7) B. (-7, -8) C. (7, -8) D. (-8, 7)
Solve the problem.Instruments on a satellite measure the amount of power generated by the satellite's power supply. The time t and the power P can be modeled by the function P = 50e-t/300, where t is in days and P is in watts. How much power will be available after 378 days? Round to the nearest hundredth.
Fill in the blank(s) with the appropriate word(s).