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Subject

Mathematics I

This course makes students able to understand and formulate real-world problems into mathematical statements and also develop solutions to mathematical problems at the level appropriate to the course.

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If $f(x) = \frac{1}{x+3}$ and $g(x) = \frac{x}{x-2}$ , then compute $f \circ g$ and $g \circ f$ . Also, find the domains of $f \circ g$ and $g \circ f$ .

Not Answered First Semester Asked on 2083 Exam

Sketch the graph of 𝑓(𝑥) = 𝑥2. Find its domain and range.

Not Answered Mathematics I Asked on 2081 Exam

a) If \( \vec{a} = (4,0,3) \) and \( \vec{b} = (-2,1,5) \), find \( |\vec{a}| \), \( 3\vec{b} \), \( \vec{a} + \vec{b} \) and \( \overrightarrow{2a} + 5\vec{b} \)

Not Answered First Semester Asked on 2080 Exam

If a = (4, 0, 3) and b = (-2, 1, 5) find |a|, the vector a – b and 2a + 5b

Not Answered Mathematics I Asked on 2080 Exam

State mean value theorem and verify this for f(x) = x²-4x-3 in the interval [1,4].

Not Answered First Semester Asked on 2082 Exam

a) Use Newton’s method to find 6√2 correct to five decimal places.

b) What do you mean by ordinary differential equation of first order? Differentiate linear and non linear differential equation. Find the order of differential equation (d²y / dx²)³ = (dy/dx)⁴.

Not Answered First Semester Asked on 2082 Exam

a) Determine whether each of the following function is even, odd, or neither even nor odd. Also sketch the graph of each functions:

(i) f(x) = x⁵ + x (ii) g(x) = 2x-x²

b) Find the value of lim x→4 ((√x – 2)/(x² – 16))

Not Answered First Semester Asked on 2082 Exam

Not Answered First Semester Asked on 2081 Exam

Show that every member of the family of functions:

is a solution of the differential equation:

Not Answered First Semester Asked on 2081 Exam

The position vector of an object moving in a plane is given by

Find its velocity, speed, and acceleration when $t = 1$ and illustrate geometrically.

Not Answered First Semester Asked on 2081 Exam

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