Calculus Answers

Albert builds rectangular pig pen with two parallel partitions using 300 meters of

fencing materials. What should be the dimensions of the pig pen so that it would enclose the largest

possible area?

Two jeepney leaves at the same terminal. Jeepney A heads North at a

constant speed of 40 ??/ℎ while jeepney B heads East at a constant

speed of 60 ??/ℎ. How fast is the distance between them changing

after 30 ?????

maximum or minimum of f(x, y) = x³+ y³– 63(x + y) + 12xy

Topic: Integration

Find the antiderivative of the following. Show your comple solution.

1.) Integral (6x⁵-4x²+2) dx

2.) Integral (12x²+2x) dx

3.) Integral 8^3/2 dx

4.) Integral 1/x¹² dx

5.) Integral ³√x dx

If I=V/R and V=250 volts and R=50ohms,find the change in I resulting from an increase of 2 volts in v and an increase of 0.5ohm in R. Using total differential method.

1.Find the area of the region that lies inside the circle r =3sinx and outside the cardioid

r = 1+sinx

Find the area of region y =17x²/16, y = 9x²/4 and y = 1 - 4x, satisfying x ≤0.

If f(x) = sin¹x, show that(1-x2)f"(x) xf'(x)

Related Rates: Problem Solving

Direction: Solve each word problem involving a related rates. Make a sketch of your work

if necessary, and then apply differentiation.

A spherical snow ball is made so that its volume is increasing at a rate of 8 cubic

feet per minute. Find the rate at which the radius is increasing when the snowball

is 4 feet in diameter.

PLEASE ANSWER MY QUESTION QUICKLY!!

DEADLINE : 05/03/2022 11 : 00 PM

Related Rates: Problem Solving

Direction: Solve each word problem involving a related rates. Make a sketch of your work

if necessary, and then apply differentiation.

Sand is being dropped at a rate of 10 cubic feet 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 feet high?

PLEASE ANSWER MY QUESTION QUICKLY!!

DEADLINE : 05/03/2022 11 : 00 PM