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Find the values of y such that log2(11y-3)-log2(3)-2log2(​y) = 1

Find the values of y such that log2(11y-3)-log23-2log2y = 1

Power law: 2log2y = log2y2

Product law: log2(11y-3) -...

JP
Answered by Joe P. Maths tutor
16856 Views

How do you differentiate this

In differentaition, it is all about multiplying and taking away. Look at the first integer and the number that it is in the power off. You have to simply times the integer with the power of number and the...

MD
Answered by Meghna D. Maths tutor
3271 Views

Let y=arcsin(x-1), 0<=x<=2 (where <= means less than or equal to). Find x in terms of y, and show that dx/dy=cos(y).

First, the question asks us to find x in terms of y, or in other words, rearrange the equation to be in the form 'x=', rather than 'y=', as it is currently. We start wit...

KM
Answered by Kalina M. Maths tutor
7354 Views

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
32974 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
11965 Views

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