Solve and choose the correct answer from the following options, the initial value problem dI + 12I = 72, dt I(0) = 0 where I is a function of t. I(t) = 18 + 6e-3t I(t) = -6 – 6e-3t I(t) = -6+ 6e¬3t I(t) = 6(1 – e I(t) -18+ 6e¬3t

Q: With your computer now loaded, you bring up the data for · your experiment. The data suggests that…

A: Given: To Find: To Find the inverse relationship so that the amount of time it will take to reach a…

Q: Assume that it costs a company approximately C(x) = 529,000 + 160x + 0.001x2 dollars to manufacture…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Determine the equation of the inverse of y = 7x° +2 x+2 y = 7 y = 78/x-2 -2 y = } y= 7 Lx IN

A: Explanation of the answer is as follows

Q: Consider the following equation. 12t - 6t2 -dt =D0 t One solution to the equation is x = 3. The…

A: ∫x312t-6t2tdt = 0one solution is x=3other solution, x= ?

Q: Suppose a cheetah is dashing due north at a rate of 30 m/s toward a popular watering hole, and a…

A: We need to find x(t),y(t),r(t) in the above question.

Q: dP 3. The population, P(t), of fish in a lake is modeled by the equation = 3P 2.4 10-4p². If this dt…

A:

Q: 1. A particle travels in space according to the function: 7 = 2tî + (5t² - t)ĵ + 3t²k and its…

A: The given position of a particle  and its velocity .The objective is to find the position vector and…

Q: b. Solve the initial value problem: f (x)= sin x +e2, f(0) = 4 1 f (0) 2

A: Given: f''(x) = sin x + e2x, f(0) = 14 and f'(0) =12

Q: 4. The position of an fictitious particle moving in a straight line, in metres, is described by the…

A:

Q: Solve each of the following equations for the indicated variable. (a) I= Prt for r (b) S= P(1 + rt)…

A:

Q: The reaction tinme of a chemical reaction (T), in minutes, is dependent on the amount of catalyst…

A:

Q: PROBLEM: C Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t)…

A:

Q: You have been given the following initial Problem, Please Solve it. Your Symbolic function of x…

A: see below the answer and calulation

Q: Consider the two ODEs dy dx dy dx +y=0 + y² = 0 equil eq.2 (a) How are the two equations different…

A:

Q: (ii) Make a graph of- dw versus t. dt 15 15 10 10 dWidt dWidt 5 10 20 30 40 10 20 30 40 time time -6…

A:

Q: Solve the exact equation 2xydx + (x² + 3y2)dy=0 with the initial condition y(2) = 1. Write the…

A:

Q: Find the solution of the initial value problem 1 y? – 4 2y - Y(1) = V5 Y = Your answer should be a…

A: An initial value problem is an ordinary differential equation together with an initial condition…

Q: The model for long-term average temperature f(x), in degrees Celsius, at the Willburn airport is…

A:

Q: Redo the problem in this example using the Cobb-Douglas production function: 1 3 ziyi. 160000 dy da

A: Explanation of the solution is given below...

Q: Find and classify the stationary points of the function 1 G(x, y) = 3x² + xy - 2y² - 2x + 4y - 1

A: Given function is .For stationary points .Now, or, And or, To eliminate y from (1) and (2),…

Q: Problem 2: Solve the following IVP: 5x+1 7y (Note: y must be a function, so no plus/minus ± allowed.…

A:

Q: (A)A particle is moving in a straight line according to the formula s(t) = 2t³ – 9t² + 12t – 15 .…

A: To determine: A particle is moving in a straight line according to the formula:…

Q: Differentiate the following functions: Chain Rule

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule

Q: Solve the initial value problem with a general Yo. Then determine the domains for your solutions.…

A:

Q: Solve each of the following questions. " 1. Ifx varies jointly as y and z, find the constant k of…

A: Given , the following two questions :      We need to solve the above questions.

Q: (c) Solve for each of the following. dx (i) Vĩ + Jỹ = 4 (ii) y = 2x2+1

A: We have to find the first derivative of given function.