A 2x2 matrix A has entries [[3, 1], [2, 4]]. What is its determinant?
Mathematics
Question · Easy
Where does this beam break first?
Short
What is the derivative of f(x) = sin(x) with respect to x?
Evaluate the definite integral of 2x from x = 0 to x = 3.
Engineering Exam Prep Podcast
Listen on Spotify
Podcast
What is the magnitude of the complex number z = 3 + 4i?
The roots of the quadratic equation x² - 5x + 6 = 0 are:
Every level, the water flows faster
A vector A = 3i + 4j and vector B = i + 2j. What is the dot product A · B?
Question · Medium
What is the value of the limit of (sin x)/x as x approaches 0?
Question · Hard
The general solution of the differential equation dy/dx = ky (where k is constant) is:
In a right triangle, if the opposite side is 5 and the hypotenuse is 13, what is the cosine of the angle?
The longest way home
What is the natural logarithm of e³?
The Taylor series expansion of e^x about x = 0 begins with which terms?
A line passes through points (1, 2) and (4, 8). What is its slope?
A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4?
Probability Statistics
Hundreds of balls make a bell curve
The data set {2, 4, 4, 6, 9} has what arithmetic mean?
Two events A and B are independent with P(A) = 0.5 and P(B) = 0.4. What is P(A and B)?
For a standard normal distribution, approximately what percentage of data falls within one standard deviation of the mean?
How many distinct ways can 5 different books be arranged on a shelf?
Factor it
The sample standard deviation differs from the population standard deviation primarily in that the sample version divides by:
In computing, how many distinct values can be represented by 8 bits?
Computer Literacy
What is the decimal equivalent of the binary number 1011?
In a spreadsheet, which symbol typically begins a formula in a cell?
Same battery. Which lets more through?
In a flowchart, which shape conventionally represents a decision point?
Cramer's Rule is a method used to:
The gradient of a scalar field f(x, y, z) is a:
A coin is flipped 3 times. What is the probability of getting exactly two heads?
A 10 kg block rests on a frictionless horizontal surface. A horizontal force of 50 N is applied. What is its acceleration?
Statics Dynamics
For a body in static equilibrium, which condition must be satisfied?
A force of 100 N is applied at a perpendicular distance of 0.5 m from a pivot. What is the moment about the pivot?
A projectile is launched at 20 m/s at 30° above horizontal. What is the initial vertical velocity component? (use sin 30° = 0.5)
The coefficient of static friction between a block and surface is 0.3, and the normal force is 200 N. What is the maximum static friction force?
An object moves in a circle of radius 2 m at a constant speed of 4 m/s. What is its centripetal acceleration?
The centroid of a uniform triangular area lies at what fraction of the height from the base?
A car accelerates uniformly from rest to 30 m/s in 6 seconds. What is its acceleration?
Two forces of 3 N and 4 N act at right angles to each other. What is the magnitude of the resultant?
The work done by a constant force of 20 N moving an object 5 m in the direction of the force is:
What is the chemical symbol for sodium?
Chemistry
A solution has a pH of 3. It is best described as:
How many moles are in 36 grams of water (H2O), given its molar mass is 18 g/mol?
In the balanced equation 2H2 + O2 → 2H2O, how many moles of O2 are required to react completely with 4 moles of H2?
Which type of chemical bond involves the sharing of electron pairs between atoms?
Avogadro's number, the number of particles in one mole, is approximately:
Loading more…