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Solve the following, giving your answers in terms of ln a: 7 sechx - tanhx =5

7sechx - tanhx = 5 7/coshx - sinhx/coshx = 5 7 - sinhx = 5 cosh x 7 - 0.5(e- e-x) = 2.5(e+ e-x) 7 -0.5e+ 0.5e-x = 2.5e+...

AW
7524 Views

Differentiate the following: 3/2 x^(3/4) + 1/3 x^(-1/4)

In simple differentiation, we can use the fact that if y= x^n, dy/dx is equal to nx^(n-1). In other words, multiply the x term by the power, then decrease the power by 1. Here we have 2 terms so approach ...

AW
Answered by Alex W. Maths tutor
3470 Views

Find the Lowest common multiple of 96 and 132

First, split into prime factors- 96= 2^5 * 3 and 132= 2^2 * 3 * 11 Whilst very similar to highest common factor, lowest common multiple is found by comparing the two sets of prime factors, and for each pr...

AW
Answered by Alex W. Maths tutor
3677 Views

What is the ontological argument and its features?

The Ontological Argument (OA) is related to the nature and essence of an object and this argument attempts to prove that God must exist by his very nature. Many philosophers formulate theories to support ...

SF
5240 Views

There are n sweets in a bag, 6 of which are orange. If the probablility of eating 2 orange sweets from the bag, one after the other, is 1/3, show that n^2 - n - 90 = 0. State any assumptions made.

We are assuming that the sweets are selected at random. The question says that the sweets are eaten, so we are also assuming that they aren't put back into the bag. The total probability of selecting the ...

JB
Answered by James B. Maths tutor
3935 Views

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