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A curve C has equation y = x^2 − 2x − 24 x^(1/2), x > 0. Find dy/dx and d^2y/dx^2. Verify that C has a stationary point when x = 4

Using the differentiation rule that d (Ax^b)/dx = Abx^(b-1) we find dy/dx = 2x -2 -12x^(-1/2).Similarly, taking care to see that the -2 term becomes zero since it is not dependent on x, we haved^2y/dx^2 = 2 ...
AW
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What's the difference between 'Ser' and 'Estar'?

This is common confusion for many Spanish students. Both verbs mean 'to be' in English, but have different uses in Spanish! Here's a very general go-to rule to help you remember which verb to use when: 'Ser'...
SP
Answered by Shreya P. • Spanish tutor
2546 Views

Find all square roots of the number 3 + 4i.

To start we need to set up the equation described by the question. Our answers should be in the form a + bi (where a and b are real), and since any answers are the root of 3 + 4i we can write down the follow...
4505 Views

Find the volume of revolution formed by rotating the curve y = sinx 2pie around the x- axis

To solve this problem we need a formula. Integral of y 2 dx multiplied by pie. First we square the questions of the curve we are given (sinx) 2 . Next we apply double angle formula to reduce the power so we ...
AM
3885 Views

How do writer's present the same themes in different ways?

Both 'The Great Gatsby' and 'The Grapes of Wrath' explore themes of class division and poverty. The context of 1930's and 1920's America is important to note, the former during The Great Depression where une...
BA
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