What Does “Looksfam” Mean in Jargon?

In the context of academic and professional exams, “Looksfam” is a term derived from “looks familiar.” It refers to a study technique where students recognize and solve problems based on their familiarity with similar questions encountered in the past1. This method leverages pattern recognition to quickly identify the type of problem and recall the solution approach.

While “Looksfam” can be an effective way to enhance problem-solving speed and accuracy, it is important to use it wisely. Relying solely on this method without understanding the underlying concepts can lead to superficial learning. Therefore, it is best used in conjunction with other study techniques to ensure a deep and comprehensive understanding of the subject matter1.

Looksfam App for Board Exam Preparation

Engineering Mathematics

A rectangular box with a square base and open top is to have a volume of 32 cubic meters. Find the dimensions of the box that minimize the amount of material used.
4 meters by 4 meters by 2 meters
2 meters by 2 meters by 8 meters
4 meters by 4 meters by 4 meters
8 meters by 8 meters by 1/2 meter
Show Solution
Question:
A rectangular box with a square base and open top is to have a volume of 32 cubic meters. Find the dimensions of the box that minimize the amount of material used.
Answer:

4 meters by 4 meters by 2 meters

Explanation:

Let base side=s, height=h. V=s²h=32. Minimize surface area A=s²+4sh.

Evaluate the double integral ∫∫D (x^2 + y^2) dA, where D is the region bounded by the cardioid r = 1 + cos(θ).
5Ï€/4
5Ï€/2
15Ï€/4
15Ï€/2
Show Solution
Question:
Evaluate the double integral ∫∫D (x^2 + y^2) dA, where D is the region bounded by the cardioid r = 1 + cos(θ).
Answer:

15Ï€/4

Explanation:

Polar coords. ∫₀²π∫₀¹⁺ᶜᵒˢθ r² * r dr dθ = ∫₀²π (1/4)(1+cosθ)⁴ dθ = 15π/4

Which of the following is NOT a property of the standard error?
It is used to construct confidence intervals and conduct hypothesis tests.
It decreases as the sample size increases.
It measures the variability of a statistic.
It is always smaller than the standard deviation of the population.
Show Solution
Question:
Which of the following is NOT a property of the standard error?
Answer:

It is always smaller than the standard deviation of the population.

Why is it important to consider higher-order derivatives in calculus?
All of the above.
They can be used to analyze the shape of a function's graph.
They can be used to approximate functions using Taylor polynomials.
They provide information about the rate of change of the rate of change.
Show Solution
Question:
Why is it important to consider higher-order derivatives in calculus?
Answer:

All of the above.

Explanation:

They describe motion, graph shape, and enable approximations.

What is the purpose of using a D-optimal design?
All of the above.
To reduce the number of experimental runs needed.
To minimize the variance of the estimated coefficients in a regression model.
To maximize the prediction accuracy of the model.
Show Solution
Question:
What is the purpose of using a D-optimal design?
Answer:

All of the above.

If two signals are in quadrature, what is their phase relation?
45
0
180
90
Show Solution
Question:
If two signals are in quadrature, what is their phase relation?
Answer:

90

Class C is an amplifier whose output current flows for
greater than one half the entire input cycle
twice the entire input cycle
the entire input cycle
less than one half of the entire input cycle
Show Solution
Question:
Class C is an amplifier whose output current flows for
Answer:

less than one half of the entire input cycle

Which of the following is NOT a method for dealing with missing data in a dataset?
Collecting more data to replace the missing values.
Ignoring the missing data and proceeding with the analysis.
Imputing missing values using statistical methods.
Deleting cases with missing values.
Show Solution
Question:
Which of the following is NOT a method for dealing with missing data in a dataset?
Answer:

Ignoring the missing data and proceeding with the analysis.

Evaluate the double integral ∫∫R (e^(x+y)) dA, where R is the triangular region with vertices (0, 0), (1, 0), and (0, 1).
e - 2
e - 1
e + 1
e
Show Solution
Question:
Evaluate the double integral ∫∫R (e^(x+y)) dA, where R is the triangular region with vertices (0, 0), (1, 0), and (0, 1).
Answer:

e - 1

A tuned amplifier uses what load?
inductive
LC tank
resistive
capacitive
Show Solution
Question:
A tuned amplifier uses what load?
Answer:

LC tank

Find the eccentricity of an ellipse whose major axis and minor axis are the radii of the circles x^2 + y^2 = 16 and x^2 + y^2 = 4 respectively.
0.87
0.97
0.77
0.67
Show Solution
Question:
Find the eccentricity of an ellipse whose major axis and minor axis are the radii of the circles x^2 + y^2 = 16 and x^2 + y^2 = 4 respectively.
Answer:

0.87

Explanation:

The major axis radius (a) is √16 = 4 and the minor axis radius (b) is √4 = 2. The formula for the eccentricity of an ellipse is e = √1− (b²/a²). Substituting the values, we get e = √1− (2²/4²) = √1− (4/16) = √1− 0.25 = √0.75 = 0.866.

Evaluate the limit: lim (x -> 1) (x^100 - 1) / (x^10 - 1).
Does not exist
1
10
100
Show Solution
Question:
Evaluate the limit: lim (x -> 1) (x^100 - 1) / (x^10 - 1).
Answer:

10

Explanation:

Simplify: (x¹⁰⁰-1)/(x¹⁰-1) = (x¹⁰-1)(x⁹⁰+...+1)/(x¹⁰-1) -> 10.

Which of the following is NOT a common regression diagnostic plot?
Cook's distance plot
Residual plot
Pareto chart
Normal probability plot
Show Solution
Question:
Which of the following is NOT a common regression diagnostic plot?
Answer:

Pareto chart

A second-order system has a settling time of 4 seconds and a natural frequency of 2 rad/s. What is the damping ratio of this system?
0.25
2
1
0.5
Show Solution
Question:
A second-order system has a settling time of 4 seconds and a natural frequency of 2 rad/s. What is the damping ratio of this system?
Answer:

0.5

15 dBa F1A weighted, equals __________.
-85 dBm
-82 dBm
-90 dBm
-70 dBm
Show Solution
Question:
15 dBa F1A weighted, equals __________.
Answer:

-70 dBm

The base of a tetrahedron is a triangle whose sides are 10, 24, and 26 units. The altitude of the tetrahedron is 20 units. Find the area of a cross-section whose distance from the base is 15 units.
5.5 sq units
4.5 sq units
6.5 sq units
7.5 sq units
Show Solution
Question:
The base of a tetrahedron is a triangle whose sides are 10, 24, and 26 units. The altitude of the tetrahedron is 20 units. Find the area of a cross-section whose distance from the base is 15 units.
Answer:

7.5 sq units

Explanation:

A 32-pound weight stretches a spring 2 feet. Determine the amplitude and period of motion if the weight is released 1 foot above the equilibrium position with an upward velocity of 2 ft/s.
Amplitude = 2sqrt(5) ft, Period = 4π s
Amplitude = sqrt(5)/2 ft, Period = π s
Amplitude = sqrt(5) ft, Period = 2π s
Amplitude = sqrt(5)/4 ft, Period = π/2 s
Show Solution
Question:
A 32-pound weight stretches a spring 2 feet. Determine the amplitude and period of motion if the weight is released 1 foot above the equilibrium position with an upward velocity of 2 ft/s.
Answer:

Amplitude = sqrt(5)/4 ft, Period = π/2 s

A system has the transfer function G(s) = 10 / (s(s + 1)(s + 10)). What is the approximate settling time (to within 2% of the final value) for the step response of this system?
40 seconds
4 seconds
0.4 seconds
10 seconds
Show Solution
Question:
A system has the transfer function G(s) = 10 / (s(s + 1)(s + 10)). What is the approximate settling time (to within 2% of the final value) for the step response of this system?
Answer:

4 seconds

Which microphone will be damaged if exposed to high temperature above 52 degrees C?
Dynamic
Ribbon
Crystal
Capacitor
Show Solution
Question:
Which microphone will be damaged if exposed to high temperature above 52 degrees C?
Answer:

Crystal

Given F = (xy^2)i + (x^2y)j + (z^3)k, find the circulation of F around the circle x^2 + y^2 = 1, z = 0, oriented counterclockwise.
π
2π
π/2
0
Show Solution
Question:
Given F = (xy^2)i + (x^2y)j + (z^3)k, find the circulation of F around the circle x^2 + y^2 = 1, z = 0, oriented counterclockwise.
Answer:

0

Determine if the integral ∫ 1^∞ (ln(x) / x^2) dx converges or diverges.
<...>
<...>
Diverges
Converges
Show Solution
Question:
Determine if the integral ∫ 1^∞ (ln(x) / x^2) dx converges or diverges.
Answer:

Converges

Explanation:

IBP: u=ln x, dv=x⁻²dx. = [-ln x/x]₁∞ + ∫₁∞ (1/x)(1/x²)dx? Let's do limit: ∫₁∞ lnx/x² dx. Compare to 1/x^(1.5) for large x, converges. Eval: IBP: u=lnx, dv=x⁻²dx, du=dx/x, v=-1/x. = lim[-lnx/x]₁ᵇ + ∫₁∞ 1/x² dx = 0 + 1. Converges to 1.

If 5 kg of a substance is reduced to 2 kg in one hour, when was half of it decomposed?
0.86 hr
0.66 hr
0.76 hr
0.56 hr
Show Solution
Question:
If 5 kg of a substance is reduced to 2 kg in one hour, when was half of it decomposed?
Answer:

0.76 hr

Explanation:

This scenario follows exponential decay, and the time taken to decompose half of the substance is determined by the substance's half-life. Using the formula for exponential decay, with 5 kg reducing to 2 kg, t = half-life * ln(2). Given the half-life is ln(5/2) = 0.69 hr, half of it decomposed in 0.69 hr.

Find the solutions to the non-linear system: x^2 - y^2 = 4; xy = 5
(3, 5/3) and (-3, -5/3)
(sqrt(10), sqrt(10/2)) and (-sqrt(10), -sqrt(10/2))
No real solutions
(5, 1) and (-5, -1)
Show Solution
Question:
Find the solutions to the non-linear system: x^2 - y^2 = 4; xy = 5
Answer:

(sqrt(10), sqrt(10/2)) and (-sqrt(10), -sqrt(10/2))

What is the transfer function of a closed-loop system with forward path transfer function G(s) and feedback path transfer function H(s)?
G(s) / (1 - G(s)H(s))
(1 + G(s)H(s)) / G(s)
(1 - G(s)H(s)) / G(s)
G(s) / (1 + G(s)H(s))
Show Solution
Question:
What is the transfer function of a closed-loop system with forward path transfer function G(s) and feedback path transfer function H(s)?
Answer:

G(s) / (1 + G(s)H(s))

Find the center of mass of a thin plate with constant density δ covering the region bounded by the parabola y = 4 - x^2 and the x-axis.
(0, 8/5)
(0, 12/5)
(0, 4)
(0, 16/5)
Show Solution
Question:
Find the center of mass of a thin plate with constant density δ covering the region bounded by the parabola y = 4 - x^2 and the x-axis.
Answer:

(0, 8/5)

Explanation:

A=∫₋₂²(4-x²)dx=32/3. x̄=0. ȳ=(1/A)∫∫ y dA = (1/A)∫₋₂² (1/2)(4-x²)² dx = (1/A)(1/2)(256/15)=8/5. (0, 8/5)

What is the limit of the function g(x) as x approaches 0?
0
It does not exist
-1
1/1/1900
Show Solution
Question:
What is the limit of the function g(x) as x approaches 0?
Answer:

1/1/1900

A force of F(x) = x^2 + 2x pounds acts on an object. Find the work done in moving the object from x = 1 to x = 3 feet.
64 foot-pounds
8 foot-pounds
16 foot-pounds
32 foot-pounds
Show Solution
Question:
A force of F(x) = x^2 + 2x pounds acts on an object. Find the work done in moving the object from x = 1 to x = 3 feet.
Answer:

32 foot-pounds

Explanation:

W=∫F(x)dx=∫₁³(x²+2x)dx=[x³/3+x²]₁³=(9+9)-(1/3+1)=32/3 ft-lbs

in odd symmetry what coefficient(s) are valued to be zero?
B
B and A
A
none of the above
Show Solution
Question:
in odd symmetry what coefficient(s) are valued to be zero?
Answer:

A

How can you use parametric equations to model projectile motion?
By using the equations of motion with constant acceleration.
By using the equations of motion with initial position and velocity.
By using the equations of motion with initial velocity and angle of projection.
All of the above.
Show Solution
Question:
How can you use parametric equations to model projectile motion?
Answer:

By using the equations of motion with initial velocity and angle of projection.

Explanation:

x(t)=v₀cosθ t, y(t)=v₀sinθ t - (1/2)gt².

Evaluate ∫ (e^x) / (1 + e^(2x)) dx.
arctan(e^x) + C
(1/2)ln(1 + e^(2x)) + C
(1/2)arctan(e^x) + C
ln(1 + e^(2x)) + C
Show Solution
Question:
Evaluate ∫ (e^x) / (1 + e^(2x)) dx.
Answer:

arctan(e^x) + C

Explanation:

u-sub: u=eˣ, du=eˣdx. ∫du/(1+u²)=arctan(u)=arctan(eˣ)+C

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1: Topnotcher’s Take on Looksfam 2: Looksfam – Board Exam Tool

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