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Higher Study | Engineering Mathematics | Calculus

The contour on the x-y plane, where the partial derivative of x2 + y2 with respect to y is equal to the partial derivative of 6y + 4x with respect to x is
Consider function f(x) = (x2 - 4)2, where x is a real number. The function f(x) has
What is the formula which gives viscous drag force as F = – 6πηav called?
If 0 < x < 1, which of the following terms increases as x increases? (i) 1 – x3 (ii) x – 1 (iii) 1/x2
A function f(x) is continuous in the interval [0, 2]. It is known that f(0) = f(2) =-1 and f(1) = 1. Which one of the following statements must be true?
Let X = (3, 2, -1), Y = (2, 4, 1), Z = (4, 0, -3) and W = (10, 4, -5) be vector in R3 in real vector space. Which one of the following is correct?
As \(\rm x\) varies from \(\rm −1\ to \ +3\), which one of the following describes the behaviour of the function \(\rm f(x) = x^3 – 3x^2 + 1\)?
The corner points of the feasible bounded region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15) and (0, 20). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both the points (15, 15) and (0, 20) is:
For what value of 'x' will the function y = x2 - 4x have the maximum or minimum value?
The range of values of k for which the function f(x) = (k2 - 4)x2 + 6x3 + 8x4 has a local maxima at point x = 0 is
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