Question
Asked Sep 14, 2019
1 views

Give a clear and detailed solution of the intergral of e^-ct/m

2)

check_circle

Expert Answer

Step 1

You want intergral of e^-ct/m. I am assumig the variable of integration is "t". That is, the task in hand is to obtain the integral of intergral of e^(-ct/m).dt. For further clarity, we re evaluating the integral "I" as shown on the white board.

help_outline

Image Transcriptionclose

-ct ет dt I

fullscreen
Step 2

Let's make one substitution as shown on the white board.

help_outline

Image Transcriptionclose

ct dz = m -dt dt = --dz Z = т т с

fullscreen
Step 3

Integral takes the shape as sh...

help_outline

Image Transcriptionclose

m m edz C

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Integration

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Can you help me step by step with this problem?

A: We have been given a limit that we need to evaluate.

question_answer

Q: A circle is centered at the point (−2,3) and has a radius of 6 units. Which points on the circle h...

A: Given circle is centered at (–2, 3) with radius 6 units.1. x-coordinate of 0.

question_answer

Q: Second National Bank offers an account that earns 3.58% per year, compounded continuously. If a pers...

A: Amount for continuous compounding: If P amount of money is invested for t years at r% rate of intere...

question_answer

Q: An electric utility company determines the monthly bill for a residential customer by adding an ener...

A: Given thatEnergy charges for 1 kilo watt - hour = 6.39 cents = $ 6.39 * 1/(100)  = $ 0.0639 [ since ...

question_answer

Q: For what value of the constant c is the function f continuous on (-o, o)? { Cx2 2x if x < 5 - x3 f(x...

A: Observe that, f (x) has discontinuity at x = 5.If it is continuous at x = 5, then continuous on (-∞,...

question_answer

Q: 2#3 The boiling point of water, B, depends on the altitude above the sea level, A. Specifically, A (...

A: Part (a)Compare the given equation: B = (-10/3)A + 212 with the standard equation of a striaght line...

question_answer

Q: How do you solve this? How do I know which f(t) to use?

A: Given that the function f is defined as: To evaluate the required function, the correct function fro...

question_answer

Q: Show all the steps of solutions for the indefinte integrals of the following: x/[(25-x^2)^0.5] and (...

A: Let\'s make a substitution: 25 - x2 = z; hence xdx = -dz / 2Please see the white board. c is the con...

question_answer

Q: An object moves along a line so that its velocity at time t is v(t)3t -30t+48 feet per second. Find ...

A: Total distance travelled is integration of absolute value of (3t^2-30t+48) from -1 to 10.