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Find the equation to the tangent to the curve x=cos(2y+pi) at (0, pi/4)

Normally to find a tangent we want to work out dy/dx, but since this equation is x=something, it's much easier to work out dx/dy first, then we get dy/dx by doing 1/(dx/dy)=dy/dx.
By the chain rule, ...

SJ
Answered by Sarah J. Maths tutor
10912 Views

The probability of pulling out a coloured counter from a bag is shown below: Green=0.2. Purple=0.15. Black=0.3. Pink=?. What is the probability of pulling out a pink counter?

When we have a probability question with multiple possible outcome as we have here (the multiple possible outcomes are pulling out a green, purple, black or pink counter) the probabilities of all of these...

FA
Answered by Fauzia A. Maths tutor
3821 Views

Solve 3x²+6x-7=0 by using completing the square method. Leave your answer in surd form.

This is a question which is simply asking you to solve a quadratic. There are three main ways to do this; quadratic equation, factorising into brackets and completing the square. As the question specifica...

SS
Answered by Sunny S. Maths tutor
5427 Views

Find the intersection point/s of the equations x²+7x-3 and 3x+4

Like many things in Mathematics, we have to remember that getting used to visualising the problem is often a fundamental stepping stone towards success. Both equations represent a line on the Cartesian pl...

DP
Answered by Daniele P. Maths tutor
1500 Views

Find the angle between two lines with vector equations r1 = (2i+j+k)+t(3i-5j-k) and r2 = (7i+4j+k)+s(2i+j-9k)

Explain the dot product and the relation : a.b= ¦a¦¦b¦cos(x) where a.b is the dot product of two vectors, ¦a¦ and ¦b¦ are the magnitude of a and b respectively and x is the angle between them. Si...

MS
Answered by Muhammad S. Maths tutor
5834 Views

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