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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 th...
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Answered by Theo R. • Maths tutor
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Expand and simplify (x − 4)(2x + 3y)^2

Expand the (2x + 3y)^2 term to give 4x 2 + 9y 2 +12xy Expand (x - 4)(4x 2 + 9y 2 +12xy) to give (4x 3 +9xy 2 + 12x 2 y - 16x 2 -36y 2 - 48xy)
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Answered by Mohammed R. • Maths tutor
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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: 7/4*(4-6Y) +5Y=12.5 Simplify and rearrange ...
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Answered by Sam F. • Maths tutor
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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)
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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 mak...
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Answered by Amelia G. • Maths tutor
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