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Determine the largest capacity of a cylindrical tank if its surface area (without lid) should be equal to S
Calculate first order partial derivatives of a function "z = x^{2}y - 4x\\sqrt{y} - 6y^{2} + 5" at the point M(2;1)
Expand f(x) = "e^{2x} + 3x^2" in a Taylor series at a = 3 to the third derivative degree
Differentiate from first principle y=tanx
Find an equation of the line tangent to the curve y=3x²-1 and perpendicular to the line x-3y=4
Find the rate of change of area of the square in m/s with respect to its side when the sides, s, is 4m each.
Can a quadratic function have a range of (-infinity, infinity) Justify your answer
If a third degree polynomial has a line x-intercept at x=a, discuss what this implies about the linear and quadratic factors of that polynomial
