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The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2, 6). The line l crosses the x-axis at the point P. Work out the area of triangle OAP.

This will involve drawing a diagram to aid your answer. Where O is the origin, A is a point on the circle and P is a point on the x-axis. OA is the radius of the circle. Line l crosses through point A and...

TD
Answered by Tutor51285 D. Maths tutor
32618 Views

A ball is thrown vertically upwards with a speed of 24.5m/s. For how long is the ball higher than 29.4m above its initial position? Take acceleration due to gravity to be 9.8m/s^2.

To find how much time the ball spends above 29.4m, we need to find the times at which the ball is at 29.4m above its starting point, and then calculate the difference between these times. Ac...

SB
Answered by Sherry B. Maths tutor
11843 Views

What is the difference between permutations and combinations?

The main difference is that order of objects matters for permutations. Both involve choosing objects from a group of size n. Permutations are used to ...

OP
Answered by Oliver P. Maths tutor
4422 Views

F ind all values of x in the range 0° <= x <= 180° satisfying tan(x+45°)= 8tan(x)

tan(x)+tan(45)/1-tan(x)tan(45) = 8tan(x)

8tan2(x)-7tan(x)+1=0

tan(x)=0.6952 or 0.1798

x = arctan(0.6952) = 34.8070 deg and arctan(0.1798) = 10.1932 deg

TM
Answered by Tomos M. Maths tutor
6247 Views

Solve integral [3x^2 (x^3 + 1)^6] dx

Using the substitution u = x3+1 the answer can be found 

(x3+1)7/7 + C

KS
Answered by Kathryn S. Maths tutor
7444 Views

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