Achiever Study Plan ESE-2018: Engineering Mathematics Quiz 1

Attempt now to get your rank among 180 students!

Question 1

Given a vector field F = y² xa_x - yza_y -x²a_z, the one integral .dl evaluated along a segment on the x-axis from x = 1 to x = 2 is

• A-2.33
• B0
• C2.33
• D7

Question 2

Let f(x) = x e^x. The maximum value of the function in the interval (0, ∞) is

• Ae ^–1
• Be
• C1 – e^-1
• D1 + e

Question 3

Roots of the algebraic equation x³ + x² + x +1 = 0 are

• A(+1,+j,-j)
• B(+1,-1, +1)
• C(0,0,0)
• D(-1,+j,-j)

Question 4

F(x, y) = (x² + xy). It’s line integral over the straight line from (x, y) = (0, 2) to (x, y) = (2, 0) evaluates to

• A–8
• B4
• C8
• D0

Question 5

A fair coin is tossed three times in succession. If the first toss produces a head, then the probability of getting exactly two heads in three tosses is:

• A
• B
• C
• D

Question 6

The solution of the variables and for the following equations is to be obtained by employing the Newton-Raphson iterative method. Given initial values of (x₁, x₂) be (0,1)
Equation (i) 10x₂sinx₁ - 0.8 = 0
Equation (ii) 10x₂² - 10x₂ cosx₁ - 0.6 = 0

• A
• B
• C
• D

• 180 attempts
• 1 upvote
• 0 comments