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I dont really understand the Rutherford experiment

Rutherford revolutionised the atomic model with this experiment. At that time, the general idea was that of JJ Thompson, the "plum pudding" atomic model. Rutherford bombarded a sheet of gold wi...

Answered by Eduardo S. • Physics tutor

3478 Views

Why don't I have to put the +C after my answer for a definite integral?

When you evaluate a definite integral, we can think about using the "+C" and see what happens. Let's take (INT)2x dx between 2 and 3. We then have [x²+C] between 2 and 3. For x=3 we h...

Answered by Joseph C. • Maths tutor

7242 Views

Integrate 1 / x(2sqrt(x)-1) on [1,9] using x = u^2 (u > 0).

Differentiate x = u²to get dx = 2u du. We need to change the limits, too:

1 <= x <= 9 <==> 1 <= u² <= 9 <==> 1 <= u <= 3 (since we are give...

Answered by Tutor69809 D. • Maths tutor

5141 Views

Show that, for all a, b and c, a^log_b (c) = c^log_b (a).

We want to prove:

a^log_b(c) = c^log_b(a).

Recall that we can always write x = e^ln(x), so x^y = (e^ln(x))^y

Answered by Tutor69809 D. • Maths tutor

7108 Views

How would a reduction in interest rates lead to an increase in Economic Growth?

A reduction in interest rates would lead to a boost in Aggregate Demand and therefore an increase in real national output. If the monetary policy committee decide to reduce interest rates then the incenti...

Answered by Sebastian C. • Economics tutor

2327 Views