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Integrate cos^2x + cosx + sin^2x + 3 with respect to x

Step 1: simplify the question using the law cos2x + sin2x = 1 /// Step 2: add the numbers /// Step 3: integrate cosx (remember the differentiation/integration circle sin --&g...

AB
Answered by Amanda B. Maths tutor
3639 Views

15 machines work at the same rate, 15 machines can complete an order in 8 hours, however 3 of the machines break down after 6 hours. The other machines continue until the order is complete. In total how many hours does EACH machine work? (3 mark question)

When tackling wordy questions such as this the first thing to do is to convert the question into an equation where possible. in this case 15M(Machines) x 8H(Hours)=120MH (Machine Hours). This initial equa...

OA
Answered by Omar A. Maths tutor
10924 Views

a) Factorise: 2x^2-72, and hence b) find the y-intercept of the line with the equation: y=(2x^2-72)/(4x-24)

a) Take out the common factor, giving: 2(x2-36), idenitfy the difference of two squares and factoise accordingly, giving: 2(x-6)(x+6)
b) you have the facotirse version of the top of the fr...

IS
Answered by Innis S. Maths tutor
1187 Views

If 3(x+2) = 4, what is x?

Step 1: Get rid of the bracket --- 3 * x and 3*2 which makes the left side 3x + 6 /// Step 2: Isolate x on one side --- move the 6 to the other side of the equals sign, taking it away from the 4, which ma...

AB
Answered by Amanda B. Maths tutor
2815 Views

A 1kg mass is launched from the ground into the air at an angle of 30 degrees to the horizontal and with initial speed 25 ms^-1. Assuming negligible air resistance, how far from the starting point will the mass travel before it hits the ground?

1: Draw a diagram2: Split the velocity into its horizontal and vertical components using trig. Vertical velocity: 25sin(30) Horizontal velocity: 25cos(30)<...

CS
Answered by Connor S. Maths tutor
2681 Views

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