Questions with Complete Solutions - Hamro CSIT

Find the volume of the solid obtained by rotating about the y-axis the region between y = x and y = x².

Not Answered Mathematics I

Find the derivatives of r(t) = (1 + t²)i – te^-tj + sin 2tk and find the unit tangent vector at t=0.

Not Answered Mathematics I

Find the third approximation x₃ to the root of the equation f(x) = x³ – 2x – 7, setting x₁ = 2.

Not Answered Mathematics I

State Rolle’s theorem and verify the Rolle’s theorem for f(x) = x³ – x² – 6x + 2 in [0, 3]

Not Answered Mathematics I

Define continuity of a function at a point x = a. Show that the function \(f(x) = \sqrt{1-x^2}\) is continuous on the interval[1, -1].

Not Answered Mathematics I

If f(x) = x² – 1, g(x) = 2x + 1, find fog and gof and domain of fog.

Not Answered Mathematics I

Evaluate \(\int_{3}^{2} \int_{0}^{\frac{\pi}{2}} \enspace (y + y^{2}cosx ) \enspace dx dy\)

Not Answered Mathematics I

A particle moves in a straight line and has acceleration given by a(t) = 6t² + 1. Its initial velocity is 4m/sec and its initial displacement is s(0) = 5cm. Find its position function s(t).

Not Answered Mathematics I Asked on 2077 Exam

If \(f(x,y) = \frac{xy}{x^2 + y^2}\), does f(x, y) exist, as (x, y) → (0, 0)?

Not Answered No Subject

A farmer has 2000 ft of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. What are the dimensions of the field that has the largest area?

Not Answered Mathematics I

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