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The curve C has equation 4x^2 – y^3 – 4xy + 2^y = 0 The point P with coordinates (–2, 4) lies on C . Find the exact value of dy/dx at the point P .

Since we need to find dy/dx, we must first differentiate the equation implicitly which gives us: 8x - 3y 2 dy/dx - 4y - 4xdy/dx + 2 y ln(2)dy/dx = 0. Because we are given a point, we can substitute in the x ...
SN
Answered by Samuel N. • Maths tutor
9191 Views

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
4644 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....
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Answered by Holi A. • Maths tutor
4490 Views

In an office there are twice as many females as males. 1/4 of the females wear glasses. 3/8 of the males wear glasses. 84 people in the office wear glasses. Work out the number of people in the office.

office that is females with glasses=(2/3) (1/4)=1/6 office that is males wearing glasses=(1/3) (3/8)=1/8 (1/6)/(1/8) = 8/6=4/3 so there is a ratio of 4:3 women to men wearing glasses 84*(4/7)=12 4=48 women w...
WJ
Answered by William J. • Maths tutor
16962 Views

Olly drove 56 km from A to B. He then drives 61 km from B to C. Olly’s average speed from A to B was 70 km/h. Olly took 75 minutes to drive from B to C. Work out Olly’s average speed for his total drive from A to C.

Key fact: Average speed = total distance/ total timeStep 1: find the time taken for Olly to travel from A to B. Using the formula: time taken = distance travelled / speed(56/70 = 0.8 hrs = 48 mins)Step 2: fi...
SW
Answered by Sacha W. • Maths tutor
12573 Views