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A curve has equation x = (y+5)ln(2y-7); (i) Find dx/dy in terms of y; (ii) Find the gradient of the curve where it crosses the y-axis.

(i) To find the derivative we will use the product rule. Let u = y+5 and v=ln(2y-7). Then dx/dy = du/dyv + udv/dy = ln(2y-7) + (y+5)*2/2y-7 (used the chain rule in 2nd term - can explain this on ...

SP
Answered by Szymon P. Maths tutor
11140 Views

How does Emily Dickinson portray the body and soul in 'I'm afraid to own a Body -' (1090)?

Dickinson recurrently uses property and material spaces as metaphors for the body to frame the societal pressures that women faced, effectively transmuting the body into ownable and controllable property....

WB
Answered by William B. English tutor
20921 Views

Name the process by which fatty acids and glycerol enter the intestinal epithelial cell from the lumen of the intestine

Simple diffusion - fatty acids and glycerol are lipophilic and hydrophobic, therefore can diffuse straight through the lipid bilayer membrane of the epithelial cells down the concentration gradient

JD
Answered by Jack D. Biology tutor
12056 Views

Alcohols can be converted into alkenes in an elimination reaction. The elimination of H2O from pentan-2-ol forms a mixture of organic products. Give the names and structures of all the organic products in the mixture.

Alcohol ----> Alkeme via: EliminationProducts formed: H2O, Pent-1-ene (least stable) or Pent-2-ene (most stable)

NO
Answered by Nick O. Chemistry tutor
10888 Views

Solve the equation: log5 (4x+3)−log5 (x−1)=2.

As both terms on the left hand side have base 5 we know we can combine them. When dealing with logs, a minus means we can divide them, and a plus means we can multiply them. This will leave us with log5(4...

HG
Answered by Hugh G. Maths tutor
9274 Views

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