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Find tan(A-B) sec^2(A) - 2tan(A) = 16 && sin(B)sec^2(B) = 64cos(B)cosec^2(B)

@tan(A) = 5, tan(B) =4, tan(A - B) = 1/21

@tan(A) = -3, tan(B) = 4, tan(A - B) = 7/11

I can demonstrate how the answers can be obtained during the session.

Answered by Fedor S. • Maths tutor

3211 Views

There are 892 litres of oil in Mr Aston’s oil tank. He uses 18.7 litres of oil each day. Estimate the number of days it will take him to use all the oil in the tank.

Estimate, so: 900 litres, and 20 litres per day. 900/20 = 45 However, any estimation that results in an answer between 44-56 is acceptable.

Answered by Christopher L. • Maths tutor

9030 Views

Rearrange "(6y-30)/5 = 2x+(12/5)" so it reads "y = ... ". Sketch this line and label where it meets the axes.

multiply everything by 5, so you get 6y - 30 = 10x + 12 - add 30 to both sides, so you get 6y = 10x + 42 - divide everything by 6, so you have y = (10/6)x + (42/6) - simplify, y= (5/3)x + 7 - this i...

Answered by Tegan H. • Maths tutor

3058 Views

Differentiate with respect to x y=(x^3)ln2x

To be able to differentiate this we need to use the product rule as we want to differentiate two functions multiplied together. The product rule states that if y=uv, then : dy/dx= u dv/dx + v du/dx. Let u...

Answered by Jennifer P. • Maths tutor

12013 Views

Why is there a "+C" term in the solution of every indefinite integral?

In order to understand where that annoying "+C" term comes from that is so easily forgotten from the end of the solution, let's start with the general thought process of solving an indefinite in...

Answered by Zsolt C. • Maths tutor

2833 Views