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A curve has the equation x^2+2y^2=3x, by differentiating implicitly find dy/dy in terms of x and y.

We shall differentiate each term in the equation with respect to x.

dy/dx (x²) = 2x

dy/dx (2y²) = 4y dy/dx

dy/dx (3x) = 3

So we now have the equation 2x +...

Answered by Kate P. • Maths tutor

4566 Views

Expand (2x-4)(x+3)

We are going to use the F.O.I.L Method for this expansion,

FIRST

2x*x = 2x²

OUTSIDE

2x*3 = 6x

INSIDE

-4x*x = -4x

...

Answered by Kate P. • Maths tutor

11219 Views

Q = P / (R (4-t)), P=36, R= 3, t=-2

Substitute in each letter for the appropriate number that it equals. Q = 36 / (3 x (4--2)) Q = 36 / (3x(4+2)) Q = 36 / (3x6) Q = 36 /18 Q = 2

Answered by Michelle R. • Maths tutor

3374 Views

An ice cream cone with a base 4.5 cm in diameter and whose height is 10 cm is filled with ice cream. What is the volume of ice cream to 3 d.p.? If the density of ice cream is 1095 kg/m^3, what is the mass of ice cream in 5 cones to 3 s.f.?

Volume of cone= 1/3Pihr^2 r=2.25 V=1/3Pi102.25^2=53.01 cm^3=5.301x10&-5 m^3 Mass=density*volume Mass=(5.301x10^-5)1095= 0.05805 kg Mass of 5= 0.058055=0.290 kg

Answered by Bevan J. • Maths tutor

7390 Views

Solve e^x-6e^-x=1

Multiply everything through by e^xand rearrange so it equals zero
you now have e^2x-e^x-6=0
It is now similar to a quadratic equation, make the dummy substitu...

Answered by Kishwar I. • Maths tutor

10443 Views