Question: Assuming that x > 0, use differentiation to justify the formula -dx = In / x / + C. IF - dx = In /x|

Assuming that x > 0, use differentiation to justify the formula

-dx = In / x / + C. IF - dx =

Assuming that x > 0, use differentiation to justify the formula -dx = In / x / + C. IF - dx = In /x| + C, then -(In |x| + C) = for x> 0. The derivative of In |x | is and the derivative of a constant C is so -dx = In |x| + C for x > 0. X

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Assuming that x 0 use differentiation to justify the formula dx In x C if Sdx In x C then The derivative of In x is and the derivative of a constant C is so dx In x C for x 0 dx In x C for x 0

Q:

Question 1 0 Find the indefinite integral. Check your work by differentiation. K 8x ( 7 - * ) dx [ax(7-x) dx =]K For an average person, the rate of change of weight W (in pounds) with respect to...

Q:

Question 15, 5.1.77 HW Score: 13.33 > Part 1 of 2 points Points: 0 of 1 Assuming that x > 0, use differentiation to justify the formula -dx = In |x| + C. X -dx = In |x |+ C, then d - (In |x| + C) = X...

Q:

Help Assuming that x > 0, use differentiation to justify the formula -dx = In x + C. X If -dx = In x + C, then d (In | x| + C) = for x > 0. X dx X The derivative of In x is and the derivative of a...

Q:

Help Assuming that x > 0, use differentiation to justify the formula - dx = In |x + C. X If -dx = In |x|+ C, then d (In | x| + C) = for x > 0. X dx

Q:

Solve 8 - 13 show work please For the equation, find dy/dx evaluated at the given values. x2y + y x = 0 at x = -5, y = 5 dy = dx 9. [-/1 Points] DETAILS BERRAPCALCBR7 3.6.027.MI. MY NOTES ASK YOUR...

Q:

Least Squares Approximation Hector D. Ceniceros 1 Least Squares Approximation Let f be a continuous function on [a, b]. We would like to find the best approximation to f by a polynomial of degree at...

Q:

Flextrola, a case for newsvendor model Flextrola, Inc., an electronic systems integrator, is planning to design a key component for their next generation product with Solectrics. Flextrola will...

Q:

21. Prove the formula y fff (a) da Then use it to calculate dx dy= 1 y sin x 1- x [ 0 1 = (1 x) (x) dx 0 dx dy

Q:

1 The mean blood cholesterol concentration of a large population of adults (50-60 years old) is 200 mg/dL with a standard deviation of 20 mg/dL. Answer the following questions: (a) Assuming...

Q:

Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) V(r) = (a) V(3) (b) v (2) (c) V(2r)

Q:

Use MATLAB to obtain the root locus plot of s3 + 13s2 + 52s + 60 + K = 0 for K 0. Is it possible for any dominant roots of this equation to have a damping ratio in the range 0.5 ( 0.707 and an...

Q:

03.02-PR006 Video Solution $100,000 is borrowed at 6% compound annual interest, with the loan to be repaid with 10 equal annual payments. a. If the first payment is made 1 year after receiving the...

Q:

Consider two bodies of identical mass m and specific heat c used as thermal reservoirs (source and sink) for a heat engine. The first body is initially at an absolute temperature T1 while the second...

Q:

Water flows through a shower head steadily at a rate of 10 L/min. An electric resistance heater placed in the water pipe heats the water from 16 to 43°C. Taking the density of water to be 1 kg/L,...

Q:

The wave function of a many-electron closed-shell atom can expressed as a Slater determinant (Section 10Ab). A useful property of determinants is that interchanging any two rows or columns changes...

Q:

Consider a mach 4 airflow at a pressure of 1 atm. We wish to slow this flow to subsonic speed through a system of shock waves with as small a loss in total pressure as possible. Compare the loss in...

Q:

A block slides down a curved frictionless track and then up an inclined plane as in Figure P8.48. The coefficient of kinetic friction between block and incline is μk. Use energy methods to show...

Q:

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

Q:

Which of the following reports is filed annually with the SEC? a. Form 10-Q c. Form 8-K b. Form 1 0-K d. Press release

Q:

If average total assets increase, but net income, net sales, and average stockholders" equit\ remain the same, what is the impact on the return on equity ratio? a. Increases c. Remains the same b....

Q:

If a company reported the following items on its income statement (cost of goods sold S5.000. income tax expense $2,000. interest expense $500. operating expenses $3,500. sales revenue $14,000), what...