Question

A weather balloon rising from the ground at 140 ft/min is tracked by a range finder located 300 feet from the point of liftoff.

A) Find the rate at which the angle of inclination from the finger to the balloon is changing when the balloon is 400 feet above the ground.

B) Find the rate at which the straight-line distance to the balloon is changing when the balloon is 400 feet above the ground.

Answer #1

1.) A rock is thrown into a still pond. The circular ripples move
outward from the point of impact of the rock so that the radius of
the circle formed by a ripple increases at a rate of 5
ft./min.
Find the rate at which the area is changing at the instant the
radius is 7 feet.
when the radius is 7 feet, the area is changing at approximately __
Square feet per minute
2.)
The radius of a spherical...

Kelly is flying a kite and the kite is 100 ft above the ground
(vertically). Kelly is holding the ball of string for the kite next
to the ground. At the moment when Kelly has let out 300 ft of
string, her kite is caught by a remote-controlled airplane flying
horizontally through the air, also at a height of 100 ft. If Kelly
needs to let out 5 feet of string per second because of the pull of
the plane,...

1- A spherical balloon is inflated so that its volume is
increasing at the rate of 3.8 ft3/minft3/min. How rapidly is the
diameter of the balloon increasing when the diameter is 1.5 feet?
The diameter is increasing at ft/min.
2- A 16 foot ladder is leaning against a wall. If the top slips
down the wall at a rate of 3 ft/s, how fast will the foot be moving
away from the wall when the top is 12 feet above the...

A ball is thrown across a playing field from a height of h = 5
ft above the ground at an angle of 45° to the horizontal at the
speed of 20 ft/s. It can be deduced from physical principles that
the path of the ball is modeled by the function
y= -(32/400)x^2+x+5
where x is the distance in feet that the ball has traveled
horizontally.
1) Find the maximum height attained by the ball. (Round your answer
to three...

A ladder 25 feet long is leaning against the wall of a house.
The base of the ladder is pulled away from the wall at a rate of 2
feet per second.
(a) What is the velocity of the top of the ladder when the base
is given below?
7 feet away from the wall
ft/sec
15 feet away from the wall
ft/sec
20 feet away from the wall
ft/sec
(b) Consider the triangle formed by the side of the...

1.A conical tank has height 3 m and radius 2 m at the top. Water
flows in at a rate of 1.5 m3/min. How fast is the water
level rising when it is 1.1 m from the bottom of the tank? (Round
your answer to three decimal places.)
2.At a given moment, a plane passes directly above a radar
station at an altitude of 6 km. The plane's speed is 900 km/h. How
fast is the distance between the plane...

please don't answer unless you can do all parts, circle answer
and show work please
part 1)
A 13 foot ladder is leaning against a wall. If the top slips
down the wall at a rate of 3 ft/s, how fast will the foot be moving
away from the wall when the top is 9 feet above the ground? The
foot will be moving at ft/s.
part 2)
Oil spilled from a ruptured tanker spreads in a circle whose
area...

please only answer if you can do all parts, I also included my
answer but they are wrong please do not leave the same one
part 4)
A spherical balloon is inflated so that its volume is increasing
at the rate of 3.8 ft3/minft3/min. How rapidly is the diameter of
the balloon increasing when the diameter is 1.8 feet? The diameter
is increasing at 1.8 (My answer but its incorrect) ft/min.
part 5)
A street light is at the top...

Activity 2: Applications of
the Derivatives
To make a phrase/words, solve the 18 application of derivatives
below. Then replace each numbered blank with the letter
corresponding to the answer for that problem. Show all
solutions on the answers given below.
"__ __ __ __ __ __ __ __ __
, __ __ __ __
__ __ __ __ __
."
1-2. A certain calculus student hit Mr. Pleacher in the head
with a snowball. If the snowball is melting...

Please answer the following Case
analysis questions
1-How is New Balance performing compared to its primary rivals?
How will the acquisition of Reebok by Adidas impact the structure
of the athletic shoe industry? Is this likely to be favorable or
unfavorable for New Balance?
2- What issues does New Balance management need to address?
3-What recommendations would you make to New Balance Management?
What does New Balance need to do to continue to be successful?
Should management continue to invest...

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