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Find y if dy/dx = y² sec²(x), given that y(0) = 1

1/y² dy/dx = sec²(x)∫ 1/y² dy/dx dx = ∫ sec²(x) dx-1/y + C 1 = tan(x) + C 2 y = -1/(tan(x) + A) where A = C 2 - C 1 y(0) = -1/A so y(0) = 1 means A = -1. Finished!
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Answered by Nikolai M. • Maths tutor
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what is palaeomagnetism

Palaeomagnetism deals with the past magnetic states of the earth. In the 1900's geographers were interested in the mid Atlantic ridge, its on a constructive plate margin, meaning the crust further away from ...
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Answered by Alex W. • Geography tutor
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Explain the Bohr Effect?

CO 2 from respiring tissues diffuses into erythrocytes (red blood cells) where it reacts with water to form carbonic acid (process catalysed by the enzyme carbonic anhydrase). The carbonic acid dissociates i...
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Answered by Theresa E. • Biology tutor
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Find the gradient of 4(8x+2)^4 at X coordinate 2

To find a gradient at a given point, first we differentiate then we sub in the x coordinate of the point. To differentiate 4(8 x +2) 4 we must use the chain rule. First we let u = 8 x +2 and differentiate th...
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Explica la marginación de la mujer en Casa de Bernarda Alba.

En la obra de Casa de Bernarda Alba, Lorca intenta denunciar la marginación de la mujer en la sociedad de su época. La obra es una clara representación de cómo una sociedad con ideologías conservadoras y ríg...
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Answered by Trian S. • Spanish tutor
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