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N=2a+b, where a is a two-digit square number and b is a two-digit cube number. What is the smallest possible value of N?

Considering the smallest possible value of N will mean finding the smallest possible values of a and b to give the minimum N. As a must be a square number, let's consider the square numbers: 1 squared is ...

KH
Answered by Katherine H. Maths tutor
7987 Views

Solve the following simultaneous equations: 2a-5b=11, 3a+2b=7

Let 2a-5b=11 be Equation 1 and 3a+2b=7 be Equation 2. To find a and b, we first need to eliminate one of these variables from the equation. Firstly we can eliminate a from both equations to find b. To do ...

GC
Answered by Gemma C. Maths tutor
16046 Views

If y = 2(x^2+1)^3, what is dy/dx?

Since the equation for y is a composite function (applying one function to another function) we need to use the chain rule to answer this question. Firstly let u = x^2+1 . This allows us to write y = 2u^3...

GC
Answered by Gemma C. Maths tutor
4254 Views

Write down 9.02x10^-3 and 2.6x10^5?

All you have to do for 9.02x10^-3 is put 0.00902 which is basically putting 0.(because of 10^-3) and move two decimal places and put 902. 2.6x10^5 is a positive power of 10 hence you have to add four zero...

HI
Answered by Hamza I. Maths tutor
6029 Views

How do I do the dot product with vectors?

You multiply the terms of each vector that have the same unit vector (e.g. i, j, k). For example, you multiply the i terms in the first vector by the i terms in the second vector. When you've multiplied t...

PC
Answered by Philip C. Maths tutor
3900 Views

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