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Given that y=4x^3-(5/x^2) what is dy/dx in it's simplest form?

y = 4x^3-5x^-2 dy/dx = 12x^2+10x^-3
TP
Answered by Trishul P. • Maths tutor
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Solve the following equation for k, giving your answers to 4 decimal places where necessary: 3tan(k)-1=sec^2(k)

3tan(k)-1=sec^2(k) ( ) We want to get this in the form of a quadratic equation in a single variable, and in this case the easiest variable is tan(k). To do this we use the trigonometric identity sec^2(k)=1+t...
KM
Answered by Katrina M. • Maths tutor
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How to represent a negative decimal number using 8-bit binary two's complement ?

First of all we need to convert our decimal negative number into binary without taking the sign into account. Then we have to apply some rules to convert positive binary into a negative one. To do so we have...
HI
Answered by Hassan I. • Computing tutor
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What is the Electron Transport Chain (ETC) and how does it help make ATP in cellular respiration?

Cellular Respiration is a three-step process. The Electron Transport Chain (ETC) is the final step of this process, generating majority of the ATP. The first two steps of Glycolysis and Citric Acid Cycle are...
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Answered by Nimra R. • Biology tutor
11523 Views

FP3- Find the eigenvalues and the eigenvector for the negative eigenvalue, from this 2x2 matrix of columns (2,1) and (3,0)

Let the 2x2 matrix= A. Using the characteristic equation for A (det(A-λI)=0), find the determinant of the matrix (2-λ,1) and (3,-λ). This results in the quadratic λ^2-2λ-3 so λ=3,-1. From the definition of t...
BM
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