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Differentiate y=e^(x)*sin(x) with respect to x

y=e^(x)*sin(x)   

Use the product rule:   y'=uv'+vu'    y=u*v          

Differentiate: u=e^(x)   u'=e^(x)    v=sin(x)  v'=cos(x)

Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x...

AJ
Answered by Alexander J. Maths tutor
5980 Views

Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t

x=4e-2t, y=4-2e2t

dy/dx = dy/dt * dt/dx

dy/dt = -4e2t

dx/dt = -8e-2t           dt/dx = -1/8 * e2t

dy/dx = (-4e2t

JM
Answered by Josh M. Maths tutor
5953 Views

Mike, Sam and James play football. Mike scores 8 more goals than James. Sam scores 5 more goals than Mike. Altogether they score 72 goals. How many did Sam score?

Let James = x 

Mike = x+8

Sam = Mike+5 = (x+8)+5 = x+13

Altogether: James + Mike + Sam = 72

Therefore, x + (x+8) + (x+13) = 72

Now solve for x: 3x + 21 = 72

Bring...

JR
Answered by Joshua R. Maths tutor
4224 Views

How to use the quadratic formula, using the following equation: x^2 + 3x - 4

To begin you must identify the co-efficients of each x term, essentially what number comes before x2 , x and the integer value.

a = 1, b = 3, c = -4 . We then substitute these values int...

OB
Answered by Oliver B. Maths tutor
3573 Views

I know the formula, but I don't understand it.

A thorough understanding of all the mathematical formulas prescribed in the subject specification is crucial for your survival in the no-mans-land of the maths exam, where your examiner tries his best to ...

LL
Answered by Le L. Maths tutor
3955 Views

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