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simplify 4p^3 x 3p^4

12p^7 multiply the 3 by the 4. Laws of Indices states when multiplying indices the answer is the addition of the indices. therefore - p^3 x p^4 = p^7
JS
Answered by Jack S. • Maths tutor
9357 Views

find the coordinate of the maximum value of the function f(x) = 9 – (x – 2)^2

Firstly you would start by differentiating the function and equating it to zero as the gradient of the function at the maximum point is zero. to differentiate this function you would use the chain rule since...
SB
Answered by Sruthi B. • Maths tutor
4228 Views

Find the stable points of the following function, determine wether or not they are maxima or minima. y= 5x^3 +9x^2 +3x +2

Start by differentiating the function to find points where the gradient is 0. so dy/dx = 15x^2 + 18x + 3 We can use the equation for finding the roots of a quadratic here, set a=15, b=18 and c=3 and proceed....
YC
Answered by Yusuf C. • Maths tutor
4577 Views

7x-20=3x+4, what is the value of x?

The question is asking you to find the value of x, x represents a number. Therefore, 7x means 7 times a number- this the number we are trying to find out. The first step is to get all the numbers containing ...
RT
Answered by Rebecca T. • Maths tutor
7217 Views

Solve the simultaneous equations: y=3x+2, x^2+y^2=20

y=3x+2 x^2+y^2=20 x^2+(3x+2)^2=20 x^2+(3x+2)(3x+2)=20 x^2+(9x^2+6x+6x+4)=20 x^2+(9x^2+12x+4)=20 10x^2+12x+4=20 10x^2+12x-16=0 5x^2+6x-8=0 (5x-4)(x+2)=0 5x-4=0, x+2=0 x=4/5=0.8, x=-2 y=3x+2, y=3x+2 y=3(0.8)+2...
DC
Answered by Daniela C. • Maths tutor
16101 Views