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At what point(s) do lines y = x^2 - 5x - 14 and y = 3x + 2 intersect? Write your answer in surd form

To find the point(s) where these two lines intersect we will first find the x coordinate of the point(s) where they intersect snd use this to find the corresponding y coordinate by substituting the x value i...
KJ
Answered by Kieran J. • Maths tutor
4694 Views

How can I use the normal distribution table to find probabilities other than P(z<Z)?

The normal distribution tables show, for a given Z value, the probability that the random variable z takes a value less than Z or P(z&lt;Z). This is also the area under the normal distribution curve up to Z....
HA
Answered by Holi A. • Maths tutor
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F = 5i + 3j. Find the magnitude and direction of F?

i is the unit vector (magnitude of 1) in the direction of the positive x-axis. j is the unit vector in the direction of the positive y-axis. The magnitude of F would be the length of the hypotenuse of a righ...
RI
Answered by Rafiqul I. • Maths tutor
21412 Views

Find exact solution to 2ln(2x+1) - 10 =0

Isolate the 'ln term' 2ln(2x+1) = 10ln(2x+1) = 5 Take to the exponential power form e^(ln(2x+1)) = e^52x+1 = e^5 Simplify 2x = e^5 -1x = (e^5-1)/2
JD
Answered by Johnny D. • Maths tutor
4465 Views

Consider f(x)=x/(x^2+1). Find the derivative f'(x)

To answer this question we need to decide which differentiation rule to use . The quotient rule looks like the obvious choice, so lets try that. If f(x)=u(x)/v(x) (being careful that v(x) is not zero anywher...
JH
Answered by Jack H. • Maths tutor
4902 Views