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Given the parametric equations x = t^2 and y = 2t -1 find dy/dx

The first step is to find dx/dt and dy/dt, this is done using standard differentiation rules giving the resultsdx/dt = 2t dy/dt = 2 The second step is to eliminate dt. This can be done by the multiplication ...
MH
Answered by Matthew H. • Maths tutor
10170 Views

David travels from home to work at 30 mph. At the end of the day, he travels from work back home via the same route at 40 mph. What is his average speed while travelling? (Give your answer as a simplified fraction) (None-Calculator)

First set the distance between home and work as the value x miles.The time takento get from home to work is the value y hours.The time takento get from work to home is the value z hours.Then (as timeis equal...
DF
Answered by David F. • Maths tutor
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y is proportional to x^2. When y=45, x=3. Find a formula for y in terms of x.

If y is proportional to x then you can write y=kx^2 where k is a constant you are trying to find. Then substitute in the values you have been given for x and y. This gives you 45=k(3)^2. Then work to solve t...
AP
Answered by Abbey P. • Maths tutor
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Find the inverse of a 2x2 matrix

Consider the 2x2 matrix M , consisting of elements a , b , c and d . To find its inverse one must first find the determinant of M . This is achieved by calculating the result of the expression ad - bc . The ...
GD
Answered by Giovanni D. • Maths tutor
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Find the stationary point of the graph of y = 2x + 5 + 27x^(-2)

y = 2x + 5 + 27x -2 To find a stationary point, find the gradient function by differentiating with respect to x:y' = 2 -54x -3 To find a stationary point, let the gradient function equal zero:2- 54x -3 = 02 ...
HH
Answered by Henry H. • Maths tutor
4200 Views