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y = 4x / (x^2 + 5). Find dy/dx.

We use the quotient rule here which states that if y = f(x)/g(x) then dy/dx = (f'(x)g(x) - g'(x)f(x)) / (g(x)^2). Here f(x) = 4x and g(x) = x^2 + 5, so we have f'(x) = 4 , g'(x) = 2x. This gives us dy/dx ...

PS
Answered by Patrick S. Maths tutor
9910 Views

Why does Dido refuse to look at Aeneas in Aeneid 6.450–476?

This passage takes place in the Underworld, and is a confrontation between the ghost of Dido and the living Aeneas, who has been allowed to visit the Underworld so that he can speak with the ghost of his ...

LA
Answered by Lavinia A. Latin tutor
6613 Views

Find the values of k for which the equation (2k-3)x^2-kx+(k-1) has equal roots

We know that an equation has equal roots if the sqrt(b^2-4ac) term in the quadratic equation is equal to zero. Therefore using this information we can form an expression for k to be (-k)^2-4(2k-3)(k-1)=0....

EH
Answered by Eliott H. Maths tutor
11830 Views

P(A)=0.2, P(A|B) = 0.3 and P(AuB)=0.6. Find i P(B) ii P(B'|A')

i. P(AuB) = P(A) + P(B) - P(AnB) 

P(AnB) = P(A|B)P(B) = 0.3P(B)

P(AuB) = P(A) + 0.7 P(B) --> 0.6 = 0.2 + 0.7 P(B) --> P(B) = 4/7

ii. P(B'|A') = P(A'nB')/P(A')

P(A'nB') = ...

WS
8801 Views

Briefly describe the concept of electronegativity and explain why CCl4 is a non-polar molecule

Electronegativity is the tendency of an atom to attract a pair of electrons in a covalent bond. The Pauling scale assigns values to this tendency for each element in the periodic table ranging from the lo...

SS
Answered by Samora S. Chemistry tutor
22499 Views

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