QUIZ (CO3) -Mathematics in Engineering

Which of the following represents the slope-intercept form of a linear equation?

• ax²+bx+c=0

• y=mx+c

• x²+y²=r²

• y=a sin(x)

If the slope of a line is 3 and it passes through the point (2, 5), what is the equation of the line?

• y=3x+5y

• y=3x−1y

• y=3x−5y

• y=3x+1y

Linear interpolation is used to estimate values:

• Outside the given range of data

• Between two known data points

• At a point of maximum curvature

• Based on quadratic functions

Which of the following methods uses linear interpolation?

• Bisection method

• Lagrange interpolation

• Newton's method

• Piecewise approximation

Which of the following methods is not commonly used to solve a system of linear equations?

• Gaussian elimination

• Cramer's rule

• Lagrange interpolation

• Matrix inversion

The solution of a system of linear equations corresponds to the:

• Intersection of lines or planes

• Maximum value of a function

• Sum of all coefficients

• Area under the curve

Which of the following is an example of a nonlinear model?

• y=mx+c

• y=ax²+bx+c

• y=3x+4y

• y=2x−5y

Which type of function best describes exponential growth?

• Linear

• Polynomial

• Exponential

• Logarithmic

The decibel (dB) scale is based on which mathematical model?

• Linear

• Exponential

• Logarithmic

• Polynomial

In the exponential model y=Ae^kx, the value of k determines:

• The initial value of y

• The rate of growth or decay

• The slope of the graph

• The maximum value of y