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Find the maximum profit that a company can make, if the profit function is given by P(x) = 41 + 24x – 18x2.
Concept: undefined >> undefined
If y = x3 + x2 + x + 1, then y ____________.
Concept: undefined >> undefined
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Find both the maximum and minimum values respectively of 3x4 - 8x3 + 12x2 - 48x + 1 on the interval [1, 4].
Concept: undefined >> undefined
The function f(x) = x5 - 5x4 + 5x3 - 1 has ____________.
Concept: undefined >> undefined
Find the height of the cylinder of maximum volume that can be inscribed in a sphere of radius a.
Concept: undefined >> undefined
Find the volume of the largest cylinder that can be inscribed in a sphere of radius r cm.
Concept: undefined >> undefined
The area of a right-angled triangle of the given hypotenuse is maximum when the triangle is ____________.
Concept: undefined >> undefined
Find the area of the largest isosceles triangle having a perimeter of 18 meters.
Concept: undefined >> undefined
The coordinates of the point on the parabola y2 = 8x which is at minimum distance from the circle x2 + (y + 6)2 = 1 are ____________.
Concept: undefined >> undefined
The distance of that point on y = x4 + 3x2 + 2x which is nearest to the line y = 2x - 1 is ____________.
Concept: undefined >> undefined
The function `"f"("x") = "x" + 4/"x"` has ____________.
Concept: undefined >> undefined
The combined resistance R of two resistors R1 and R2 (R1, R2 > 0) is given by `1/"R" = 1/"R"_1 + 1/"R"_2`. If R1 + R2 = C (a constant), then maximum resistance R is obtained if ____________.
Concept: undefined >> undefined
Let f(x) = 1 + 2x2 + 22x4 + …… + 210x20. Then f (x) has ____________.
Concept: undefined >> undefined
If A is a square matrix of order 3, |A′| = −3, then |AA′| = ______.
Concept: undefined >> undefined
If f'(x) = `x + 1/x`, then f(x) is ______.
Concept: undefined >> undefined
The solution set of the inequality 3x + 5y < 4 is ______.
Concept: undefined >> undefined
The corner points of the shaded unbounded feasible region of an LPP are (0, 4), (0.6, 1.6) and (3, 0) as shown in the figure. The minimum value of the objective function Z = 4x + 6y occurs at ______.
Concept: undefined >> undefined
If A is a square matrix of order 3 and |A| = 5, then |adj A| = ______.
Concept: undefined >> undefined
P is a point on the line joining the points A(0, 5, −2) and B(3, −1, 2). If the x-coordinate of P is 6, then its z-coordinate is ______.
Concept: undefined >> undefined
Solve the following Linear Programming Problem graphically:
Maximize Z = 400x + 300y subject to x + y ≤ 200, x ≤ 40, x ≥ 20, y ≥ 0
Concept: undefined >> undefined
