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A stationary observer Bob, observes Alice take 5 seconds to travel from point A to B at 0.95c. How much time does Alice measure the journey from A to B to take?

This question is all about the application of Special Relativity. In order to solve this problem we need to identify that the correct equation to use here is:t= (gamma factor)t0Where t is the t...

ER
Answered by Elizabeth R. Physics tutor
3496 Views

How do you integrate by parts?

To integrate the product of two functions - say f(x) = xsinx, the product of g(x) = x and h(x) = sin(x) - the we use integration by parts. 

Since integration is the inverse of differentia...

PK
Answered by Patrick K. Maths tutor
6685 Views

Given that (2x + 11 )/(2x + 1)(x + 3) ≡ A /(2x + 1) + B /(x + 3) , find the values of the constants A and B. Hence show that the integral from 0 to 2 (2x + 11)/ (2x + 1)(x + 3) dx = ln 15.

First starting from the right hand side.

 A /(2x + 1) + B /(x + 3) = A(x+3)+B(2x+1)/(x+3)(2x+1)

Therefore the numerator = (A+2B)x+(3A+B)

Equating this numorato...

GD
Answered by George D. Maths tutor
7228 Views

How do I form the subjunctive for regular verbs in French?

The subjunctive is a mood used to express statements which are uncertain, for example, expressing emotion, possibility, necessity or desire. 
To form the subjunctive for regular verbs (and some irreg...

KM
Answered by Kirsty M. French tutor
3882 Views

Given that: y = 5x^3 + 7x + 3. What is dy/dx? What is d^2y/dx^2?

Firslty, the common rule when differentiating is nxm has the derivative of (n)(m)xm-1.

Therefore applying this rule to each individual component of the function:

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ME
Answered by Monty E. Maths tutor
7127 Views

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