determining and classifying all the critical points, Mathematics

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how do you determine and classify all the critical points of a function

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Arithmetic progression., 1.If a+b=2b and ab+cd+ad=3bc,prove that a,b,c,d ar...

1.If a+b=2b and ab+cd+ad=3bc,prove that a,b,c,d are in A.P 2.The nth term of an A.P is an+b.Find the sum of the series upto n terms.

Trignometry, verify 4(sin^4 30^0+cos60^0 )-3(cos^2 ?45?^0-sin^2 90^0 )=2

verify 4(sin^4 30^0+cos60^0 )-3(cos^2 ?45?^0-sin^2 90^0 )=2

Estimate how much did the budget increase, Previous year's budget was 12.5 ...

Previous year's budget was 12.5 million dollars. This year's budget is 14.1 million dollars. How much did the budget increase? Last year's budget must be subtracted from this y

Evaluate integrals, Evaluate following integrals. (a) ∫ 3e x + 5 cos x...

Evaluate following integrals. (a) ∫ 3e x + 5 cos x -10 sec 2 x dx (b) ( 23/ (y 2 + 1) + 6 csc y cot y + 9/ y dy Solution (a) ∫ 3e x + 5 cos x -10 sec 2 x

Analysis, Ask question #Minimum 1Let X be a topological space, let p ? X, a...

Ask question #Minimum 1Let X be a topological space, let p ? X, and let F and ? be C-valued functions on X that are continuous at p. Then the functions F + ?, F?, |F|, ReF and ImF

Set builder notation, For inequalities we contain a similar notation. Base...

For inequalities we contain a similar notation. Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is jus

Diffrencial, 1/cos(x-a)cos(x-b)

1/cos(x-a)cos(x-b)

Find the maximum and minimum brightness values, Variable stars are ones who...

Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function where t is measured in days.

Integration by parts, ? (2x+3)dx

? (2x+3)dx

Example of spiral development of the mathematics curriculum?, E1) Can you g...

E1) Can you give some more examples of the spiral development of the mathematics curriculum? E2) A Class 3 child was asked to add 1/4 + 1/5. She wrote 2/9. Why do you feel this

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