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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(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.
Q. How many permutations can you make of the word STATISTICS? Solution: There are 10 letters in the word STATISTICS, i.e. n=10. Three of them are S's, so n 1 =3, three are T'
If f(x) is an infinitely differentiable function so the Taylor Series of f(x) about x=x 0 is, Recall that, f (0) (x) = f(x) f (n) (x) = nth derivative of f(x)
calculate the area of a trapezoid with height 8cm base 18cm and 9cm
if there are 12 boys how many girl will it be
Root of function: All throughout a calculus course we will be determining roots of functions. A root of function is number for which the function is zero. In other terms, determ
The cost of renting a bike at the local bike shop can be represented through the equation y = 2x + 2, where y is the total cost and x is the number of hours the bike is rented. Whi
Dot Product- Vector The other topic for discussion is that of the dot product. Let us jump right into the definition of dot product. There is given that the two vectors a
What is the slope of the line tangent to f(x)=3-2 ln(2x^2+4) at the point (4, f(4))
10 puzzles
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