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BUSC REMIDIAL SOURCE

Evaluate the polynomial function below from x = 1 up to x = 5.

∫(3−1x4+1x2)dx∫(3−1x4+1x2)dx

1
Answer:
Feedback

The correct answer is: 0

A child is flying a kite at a height of 40 ft, that is, moving horizontally at a rate of 3
ft/s. If the string is taut, at what rate is the string being paid out when the length
of the string released is 50 ft?
0
Answer:

Evaluate the first derivative of the function below at (2, 2).


(2x+3)3=4y3(2x+3)3=4y3

64
Answer:
Feedback
The correct answer is: 6.13

Evaluate the trigonometric function below from x = 1 up to x = 5.


The associated angles are in radians.
0
Answer:
A whole roast chicken is taken from the oven when its temperature reached 185
degrees Fahrenheit. It is then placed on a table where the room temperature is 75
degrees Fahrenheit. After thirty minutes, the temperature of the viand is 150
degrees Fahrenheit. After 45 minutes more, what is the temperature of the roast
chicken (in Fahrenheit)?
The correct answer is: 163.93

A culture in the laboratory started with 500 bacteria. Three hours later, the
number of bacteria grew exponentially to 8,000. How many bacteria will there be
after 4 hours?
2048.000
Answer:
Feedback
The correct answer is: 20158.74

Evaluate the polynomial function below from x = 1 up to x = 5.


5X4-8X3
0
Answer:

Which of the following is the particular solution of:


xxdy=ylnydxxdy=yln⁡ydx
The correct answer is: y=ex2

Evaluate the radical function below from x = 1 up to x = 5. ∫(x−


−√(x+1x))dx∫(x(x+1x))dx
The correct answer is: 24.43
A ladder is 25 feet long and leaning against a vertical wall. The bottom of the
ladder is pulled horizontally away from the wall at 3 feet per second. Determine
how fast (in feet per second) the top of the ladder is sliding down the wall when
the bottom is 15 feet from the wall.
0
Answer:

Which of the following is the general solution of:


(1+4x2−−−−−−√)dy=y3xdx(1+4x2)dy=y3xdx
Select one:

b. 1y2=−12(1+4x2−−−−−−√)−2k1y2=−12(1+4x2)−2k

Water is flowing at the rate of 2 cubic meters per minute into a tank in the form
of an inverted cone having an altitude of 16 meters and a radius of 4 meters. How
fast is the water level rising when the water is 5 meters deep?
0
Answer:

Evaluate the radical function below from x = 1 up to x = 5.

The correct answer is: 28.75

Evaluate the radical function below from x = 1 up to x = 5.

The correct answer is: 45.3


Evaluate the limit of:
limx→2x−1x+2−−−√limx→2x−1x+2
The correct answer is: 0.5

Evaluate the radical function below from t = 1 up to t = 5.

The correct answer is: 49.58

Evaluate the exponential function below from x = 1 up to x = 5.


∫((5x4+2x)(2x3+1))dx
The correct answer is: 0
Evaluate:
∫20(xx2+5−−−−−√)dx∫02(xx2+5)dx4
The correct answer is: 5.27

The half-life of Po-214 is 0.00014 second. Suppose a sample of this


substance has a mass of 50 mg, how long must it take for its mass to
decay so that only 40 mg is left?
The correct answer is: 0
Sand is being dropped at the rate of 10 cubic meters per minute onto a
conical pile. If the height of the pile is always twice the base radius, at
what rate is the height increasing when the pile is 8 meters high?
0
Answer:

Evaluate the limit of:


limx→13x−1x+3−−−−√limx→13x−1x+3

1
Answer:

Which of the following is the general solution of:


xdx+secxsinydy=0
The correct answer is: cosy=xsinx+cosx+kcosy=xsinx+cosx+k

Evaluate the limit of:


limx→−2x2+2x+8−−−−−−−−−√
The correct answer is: 2.83

A spherical snowball is being made so that its volume is increasing at


the rate of 8 cubic feet per minute. Find the rate at which the radius is
increasing when the snowball is 4 feet in diameter?
0
Answer:

Evaluate the polynomial function below from x = 1 up to x = 5


∫(8x4+4x3−6x2−4x+5)dx∫(8x4+4x3−6x2−4x+5)dx

0
Answer:

Which of the following is the general solution of:


dydx=2xy1+x2
The correct answer is: y=k(1+x2)y=k(1+x2)

Evaluate the trigonometric function below from x = 1 up to x = 5.


∫(sinx−−√x−−√)dx∫(sinxx)dx
The associated angles are in radians.
The correct answer is: 0

Evaluate the trigonometric function below from t = 1 up to t = 5.


∫((3)(sint)−(2)(cost))dt∫((3)(sint)−(2)(cost))dt
The associated angles are in radians.
The correct answer is: 0

Is the given function continuous for x greater than -2?


f(x)=2x3+5x2−7
The correct answer is: Yes, since the function will always be defined for
any value of x.

Evaluate the radical function below from x = 1 up to x = 5.


∫(3x+4−−−−−√)dx
The correct answer is: 14.29

Evaluate the trigonometric function below from x = 1 up to x = 5

The associated angles are in radians.


0
Answer:

Evaluate the trigonometric function below from x = 1 up to x = 5.


∫(2cotx−3sin2xsinx)dx
The associated angles are in radians.
Answer: 0

Evaluate the first derivative of the function below at (2, 2). The
associated angles are in radians
The correct answer is: 0.14344

Evaluate the limit of:


limx→−1(x2+2)x2+x+5−−−−−−−−√
The correct answer is: 6.71

Evaluate the polynomial function below from x = 1 up to x = 5.

0
Answer:
Which of the following is the general solution of:

2dydx=y(x+1)x
The correct answer is: 2lny=x+lnx+k

Suppose that a radioactive substance decays at a rate of 3.5% every


hour. What percentage of it is left after 6 hours?
The correct answer is: 80.75

Evaluate the radical function below from x = 1 up to x = 5.

The correct answer is: 89.83

Which of the following is the general solution of:

dydx=1y
a. y=±2(x+k)−−−−−−−√y=±2(x+k)

Evaluate the trigonometric function below from t = 1 up to t = 5.

∫((3)(csc2t)−(5)(sect)(tant))dt∫((3)(csc2t)
−(5)(sect)(tant))dt

The associated angles are in radians.


0
Answer:

Evaluate the first derivative of the function below at (2, 2).

x2y2=x2+y2
The correct answer is: -3

Evaluate the polynomial function below from x = 1 up to x = 5.

The correct answer is: 0

Evaluate the polynomial function below from x = 1 up to x = 5.

Answer: 0
Which of the following is the general solution of:

y2dy+x3dx=0
The correct answer is: y33+x44=k

Which of the following is the particular solution of:


dydx=2y=6dydx=2y=6
The correct answer is:  y=3−2e−2x

Evaluate:

∫21−(x3−2x2−5x+6)dx
The correct answer is: 13.08

Evaluate the radical function below from x = 1 up to x = 5.

The correct answer is: 5.87

The decay rate of Ra-226 is 0.000436. What is its half-life in years?


The correct answer is: 1590
Evaluate the trigonometric function below from x = 1 up to x = 5.

The associated angles are in radians.


The correct answer is: 0

Evaluate the radical function below from x = 1 up to x = 5.

The correct answer is: 0.14344

A certain organism doubles in its size after every six hours. How many
hours should pass so that it is 100 times bigger than its original size?
The correct answer is: 39.86

Evaluate the limit of:

limx→1(x2+3x−4)limx→1(x2+3x−4)
Answer: 0

Evaluate the trigonometric function below from x = 1 up to x = 5.

he associated angles are in radians.


Answer: 0

Evaluate the first derivative of the function below at (2, 2)


The correct answer is: 0.23

Evaluate the polynomial function below from u = 1 up to u = 5

The correct answer is: 0

The half-life of a certain substance is 3 hours. How long does it take so


that only 1/10 of its original amount is left?
The correct answer is: 9.97

Evaluate the trigonometric function below from x = 1 up to x = 5.


∫(3secx)(tanx)−5csc2x)dx∫(3secx)(tanx)−5csc2x)dx
The associated angles are in radians.
The correct answer is: 0

A culture in the laboratory started with 500 bacteria. Three hours later,
the number of bacteria grew exponentially to 8,000. After how many
hours will its population become 30,000?
The correct answer is: 4.43
Suppose that a tumor in a person's body is spherical in shape. If, when
the radius of the tumor is 0.5 cm, the radius is increasing at the rate of
0.001 cm per day, what is the rate of increase of the volume of the
tumor at that time?
0
Answer:

Consider a certain substance with a half-life of 20 days. If this substance


is initially 10 grams, how much of it will remain after 75 days?
The correct answer is: 0.74

Evaluate the polynomial function below from x = 1 up to x = 5.

Answer: 0

Evaluate the polynomial function below from y = 1 up to y = 5.

Answer: 0

Evaluate the radical function below from u = 1 up to u = 5.

The correct answer is: 109.8


Evaluate the polynomial function below from x = 1 up to x = 5.

The correct answer is: 0

Evaluate:

∫31[2x−2−−−−−√+2x−2−−−−−√ dx
The correct answer is: 5.33

Evaluate the limit of:


limx→3(x2x+6−−−−√)
The correct answer is: 27

Evaluate:

∫31(4x−x2)dx
The correct answer is: 7.33

A whole roast chicken is taken from the oven when its temperature
reached 185 degrees Fahrenheit. It is then placed on a table where the
room temperature is 75 degrees Fahrenheit. After thirty minutes, the
temperature of the viand is 150 degrees Fahrenheit. After how many
minutes will the roast chicken cool to 100 degrees Fahrenheit?
The correct answer is: 116.05
An airplane is flying west at 500 ft/s at an altitude of 4000 ft and a
searchlight on the ground lies directly under the path of the plane. If
the light is kept on the plane, how fast is the searchlight revolving when
the airline distance of the plane from the searchlight is 2000 ft due
east?
The correct answer is: 0

Which of the following is the general solution of:

xydx−(x2+1)dy=0
The correct answer is: y2=k(x2+1)y2=k(x2+1)

Suppose in a certain market that x thousands of crates of oranges are


supplied daily when p dollars is the price per crate, and the supply
equation is

If the daily supply is decreasing at the rate of 25 crates per day, at what
rate is the price changing when the daily supply is 5000 crates?
Answer: 0

Evaluate the limit of:


limx→3(3x−−√xx+1−−−−√)
The correct answer is: 0.5
Is the given function continuous for x greater than or equal
to 1?

f(x)=x2x+6−−−−√
The correct answer is: Yes, since the function will always be defined for
any value of x.

Evaluate the trigonometric function below from x = 1 up to x = 5.

The associated angles are in


radians. Answer: 0

Evaluate the radical function below from x = 1 up to x = 5.

The correct answer is: 4.31

Is the given function continuous for all real numbers?


f(x)=2x2−x
The correct answer is: No, since the function cannot have some values
in its domain.

Evaluate:
The correct answer is: 2.67

Two cars, one going due east at the rate of 90 km/hr and the other
going due south at the rate of 60 km/hr, are traveling toward the
intersection of two roads. At what rate are the cars approaching each
other at the instant when the first car is 0.2 km and the second car is
0.15 km from the intersection?
The correct answer is: 0

Which of the following is the general solution of:

2ydy=(x2+1)dx
Your answer is incorrect.
The correct answer is: y2=13x3+x+ky2=13x3+x+k

A light is hung 15 ft above a straight horizontal path. If a man 6 feet tall


is walking away from the light at the rate of 5 ft/s, how fast is his
shadow lengthening?
Answer: 0

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