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Maths
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How do I integrate tan^2 x?

Firstly, use the trigonometric formula tan2x = sec2x - 1, which you can easily derive from sin

JC
Answered by Jakub C. Maths tutor
9720 Views

A quarter circle has a radius of 8, calculate the area giving your answer in terms of pi

area of a circle = pi x radius^2
64pi/4 = 16pi
Student must be aware of the equation for the area of a circle and that they must divide by 4 to get the answer here

SD
Answered by Sam D. Maths tutor
7795 Views

2435 units of gas used in November, costing 4.12p per unit. The gas company also charge 9.43p per day. The total cost has an additional 5% in VAT. What is the gas bill for the month of November?

30 days in November; (30 X 9.43) = 282.9p (2435 X 4.12) = 10032.2p (10032.2 + 282.9) = 10315.1p 5% in VAT so total price is 105% of 10032.2p Convert 105% to decimal; 1.05 (1.05 X 10315...

AG
Answered by Andrew G. Maths tutor
3469 Views

Solve the simultaneous equations: [4x-y=3] and [6x +2y=1]

(1) 4x-y=3(2) 6x+2y=1Eliminate y; (1) X 2 => (3) 8x-2y=6 Add (2) to (3) 8x - 2y = 6 +(6x + 2y) = 114x = 7x=1/2 If x=1/2 then,2-y=3 y= -1

AG
Answered by Andrew G. Maths tutor
4171 Views

Integrate 2x^5 - 1/4x^3 - 5

I = x6/3 - x4/16 -5x + C

RC
Answered by Rocio C. Maths tutor
3026 Views

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