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3. The point P lies on the curve with equation y=ln(x/3) The x-coordinate of P is 3. Find an equation of the normal to the curve at the point P in the form y = ax + b, where a and b are constants.

P- (3,0) y=ln(x/3)     u=x/3    y=ln(u) ​​​​​​            du = 1/3  dy = 1/u = 3            dx       du dy= du x dy dx dx  du   = 1/3 x 3 = 1 gradient at normal = -1 equ...

KB
Answered by Kaushalya B. Maths tutor
13525 Views

Describe the structure of proteins

Proteins have a primary, secondary, tertiary and quaternary structure. The primary structure comprises of the specific sequence of amino acids which are held together by peptide bonds. The secondary struc...

TT
Answered by Taran T. Biology tutor
3414 Views

Explain an example of classical conditioning.

One of the most important studies into classical conditioning was done by Pavlov. In his experiment he aimed to prove how learning by association produces conditioned responses. To do this, he paired a ne...

IE
Answered by Imogen E. Psychology tutor
4829 Views

Who were the Romantics?

The Romantics were a group of poets that were a part of the Romantic movement that marked a profound shift in sensibilities from the age of reason approach of Classicism. Looseness of form, nature, mortal...

IE
25190 Views

Differentiate 3x^(2)+xy+y^(2)=12 with respect to x

this is implicit differentiation. We start by differentiating 3x^(2) to get 6x (lower the power by 1, multiply by the original power). For xy, we use the product rule, giving us y + (x)dy/dx (this is the ...

NL
Answered by Noyonika L. Maths tutor
4546 Views

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