Write a note on Berkley's refutation of materialism

Denote by a, b and e the column vectors

Calculate

Denote by a, b and e the column vectors

Calculate

Distinguish between primary and secondary qualities of Locke

Let the production function by  Find the elasticity of production with respect to labour (L).

Explain Pre-established harmony. Discuss its significance in Leibniz's philosophy.

What are Inrate Ideas? How Locke criticizes the concept of innate ideas?

Contrast Descartes' and Locke's conceptions of substance with Spineca's.

Explain the idea of causality? How does Hume criticize the idea of causation?

How does Descartes prove the existence of the External world?

Explain and analyze Descartes' method of doubt.

Explain the concept of maximum value function.

What is Kant's view on the Nature of Knowledge? Explain and analyze.

Write a brief essay outlining the key ideas of contemporary Western philosophy.

Evaluate 

Singular matrix

Decomposable matrix

Adjugate of a matrix

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y= 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Solve the following differential equation

given Y(0) = 4