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Given y= sqrt(x) + 4/sqrt(x) + 4 , find dy/dx when x=8 giving your answer in form Asqrt(2) where A is a rational number.

Read and understand the questionRe-write in easier form to be able to differentiateDifferentiate and sub in value for xSimplifyMake sure we answer the question

Answered by Corey M. • Maths tutor

6099 Views

Find all possible values of θ for tan θ = 2 sin θ with the range 0◦ ≤ θ ≤ 360◦

First you rearrange the equation.It is known that tanθ=sinθ/cosθ therefore if we replace tanθ with sin/cos we get:sinθ/cosθ=2sinθIf you multiply both sides by cosθ this becomes:sinθ=2sinθcosθThen if you m...

Answered by Kehinde L. • Maths tutor

10159 Views

Find ∫ (2x^5 - 1/(4x^3)-5) dx. giving each term in its simplest form.

with integration you need to increase the power and divide through by the new power for each term in the equation.2x⁵ goes to 2x⁶/6 = x⁶/3-1/(4x³) is equal to -...

Answered by Kieran Y. • Maths tutor

5954 Views

Find both stationary points for y= 4x^(3)-3x^(2)-60x+24. Also find the nature of those points.

y= 4x³- 3x²- 60x+ 24dy/dx = 12x²- 6x- 60 = 2x²- x- 10 = (2x-5)(x+2)
So stationary points are at x= 5/2 and x= -2
d²x/dy²= 24...

Answered by Will M. • Maths tutor

6732 Views

Find the coordinates of the points where the lines y=x^2-5x+6 and y=x-4 intersect.

At the points of intersection the x and y coordinates will be the same. So we can solve the equations simultaneously to see what solutions to x and y solve both equations.Rearrange the second equation to ...

Answered by Georgia C. • Maths tutor

5884 Views