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Partial Derivatives
Partial derivatives are used while we want to investigate the effect of one independent variable on dependent variable. For illustration, the revenues of a farmer may depend on two variables that is; the amount of fertilizer applied and as well the type of the natural soil.
Assume ∏= 30x2y + y2 + 50x + 60y
Whereas ∏ = annual revenue in £ '000'
x = type of soil
y = amount of fertilizer applied
Consider the function f: N → N, where N is the set of natural numbers, defined by f(n) = n 2 +n+1. Show that the function f is one-one but not onto. Ans: To prove that f is one
1/(1-z)(1-z)(1-z)(1-z)
Sketch the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Find out how the solutions behave as t → ∞ and
Q. Explain Set Intersection? Ans. Set Intersection Suppose your school needs to know which students are taking both art and business this year. If A is the set of studen
what is slope
How tall does a cone with diameter of 10 inches have to be to fit exactly half of a sphere with a diameter of 10 inches inside it?
solve the differential equation dy/dx=f(y)x^n+g(y)x^m by finding a one-parameter group leaving it invariant
Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?
Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, 8}. Suppose each outcome is equally likely. Compute the probability of event E = "an even number is selected".
Q. Show Inverse Trigonometric Functions? Ans. Many functions, including trig functions, are invertible. The inverse of trig functions are called ‘inverse trig functions'.
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