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How would I go about finding the coordinates minimum point on the curve eg y = e^(x) - 9x -5?

In order to find the coordinates of the minimum point of any curve y = f(x), you must differentiate the equation of the curve with respect to x and then equate it to zero.In this case, the differential of...

Answered by Theo R. • Maths tutor

3222 Views

Expand and simplify (x − 4)(2x + 3y)^2

Expand the (2x + 3y)^2 term to give 4x²+ 9y² +12xy Expand (x - 4)(4x²+ 9y²+12xy) to give (4x³+9xy²+ 12x²y - 16x²

Answered by Mohammed R. • Maths tutor

4478 Views

Solve the simultaneous equations: 4X+6Y=4 and 7X+5Y=12.5

There are two ways of solving this problem:
Method 1: substitution.
Make X (or Y) the subject of one equation: X= (4-6Y)/4
Substitute this into the other equation:...

Answered by Sam F. • Maths tutor

3026 Views

A ship sets off on a bearing of 072 degrees from port and travels 3.4km in a straight line. How far north of the ship's starting position is its final position? Give your answer to two decimal places.

From SOHCAHTOA we choose CAH based on trianglecos(theta)= adjacent / hypcos(72)=x / 3.4
3.4cos(72)=xOn calculator find x=1.0506... =1.05 (2dp)

Answered by Jessica M. • Maths tutor

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Why do we use simultaneous equations?

Simultaneous equations are used to help us find unknown values. An example of simultaneous equations is:1) x + y = 62) 2x + 3y = 16We don't know what the value or X or Y is but we know that together they ...

Answered by Amelia G. • Maths tutor

2746 Views