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Find the points that the graph "y = x^2 -4x -14" touches the x-axis

(2+3√2, 0) and (2-3√2, 0)
TC
Answered by Thomas C. • Maths tutor
3726 Views

Differentiate (4x+9)^3

(3*4)(4x+9)^(3-1) Where 4 is the derivative of inside the brackets and 3 is the power of the brackets. Therefore the answer is 12(4x+9)^2
AT
Answered by Alexander T. • Maths tutor
5368 Views

If z1 = 3+2i, z2= 4-i, z3=1+i, find and simplify the following: a) z1 + z2, b) z2 x z3, c)z2* (complex conugate of z2), d) z2/z3.

(a) For part a, simply add the real terms together and the imaginary terms together. z 1 +z 2 = (3+2i)+(4-i) = 7+i b). (b) For part b, multiply the brackets out, remembering that i 2 =-1. z 2 x z 3 = (4-i)(1...
JS
Answered by Jaspa S. • Maths tutor
14361 Views

how can differentiate using the product and chain rule? e.g y=(4x+1)^3(sin2x), find dy/dx.

First you have to identify the equation for y is a product. Then you can apply the product rule using (4x+1)^3 as one term and sin2x as the other. First you differentiate (4x+1)^3 using the chain rule. You d...
RJ
Answered by Rajvir J. • Maths tutor
5072 Views

If 4x + 3y = 4 and x + 2y = 2 what are the values of x and y ?

First you need to make either the x value or the y value equal by multiplying each equation by a number. 2( 4x + 3y = 4 ) and 3( x + 2y = 2 ) which equals: Equation 1: ( 8x + 6y = 8 ) and Equation 2: ( 3x + ...
MT
Answered by Max T. • Maths tutor
6602 Views