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A curve has equation y = 3x^3 - 7x + 10. Point A(-1, 14) lies on this curve. Find the equation of the tangent to the curve at the point A.

Firstly, we define a tangent as a straight line touching a curve at 1 point only.We can describe a straight line using this linear relation:y - y 1 = m.(x - x 1 )We know a point on this line A(-1, 14) = (x 1...
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Answered by Joshua P. • Maths tutor
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Let p and q be different primes greater than 2. Prove that pq can be written as difference of two squares in exactly two different ways.

Without loss of generality claim p > q.Now, we try to write pq in the form pq = a 2 -b 2 where a and b are non-negative integers.If b = 0, then pq = a 2 . But p and q are different, so pq is not a square....
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Answered by Theodor L. • STEP tutor
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To what extent was the Civil Rights Movement a success?

In order to answer this question, first of all it is vital to break down what it is actually asking. This essay's main discussion should centre quite clearly around the Civil Rights Movement, however this te...
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Answered by Orla L. • History tutor
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How would I answer a question on memory models?

You would choose a specific memory model, for example, the Multi-Store Model of Memory. This was proposed by Atkinson and Shifrin and essentially explains the way in which they believe how memories are passe...
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Answered by Seren C. • Psychology tutor
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Solve the simultaneous equations;5x +y = 21 and x-3y=9

Two ways of doing this, substitution and elimination. Could teach both so students choose which they prefer Substitution;change the second equation into x=3y+9 then substitute it into the first equation wher...
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Answered by Kameel O. • Maths tutor
5530 Views