Question

The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the triangle is increasing at a rate of 5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 12 centimeters and the area is 85 square centimeters?

________cm/min

Answer #1

(a) The altitude of a triangle is increasing at a rate of 1
centimeters/minute while the area of the
triangle is increasing at a rate of 2 square centimeters/minute. At
what rate is the base of the
triangle changing when the altitude is 7 centimeters and the area
is 88 square centimeters?
(b) f(x)=x√x^2+1
defined on the interval −5≤x≤6
f(x) is concave down on the interval x = ___ to x
=___
f(x) is concave up on the interval x...

The altitude (i.e., height) of a triangle is increasing at a
rate of 1.5 cm/minute while the area of the triangle is increasing
at a rate of 2.5 square cm/minute. At what rate is the base of the
triangle changing when the altitude is 11.5 centimeters and the
area is 87 square centimeters?

The altitude of a triangle is increasing at a rate of 1 cm/min
while the area of the triangle is increasing at a rate of 2
cm2/min.
At what rate is the base of the triangle changing when the altitude
is 20 cm and the area is 160 cm2?

The altitude (height) of a triangle is increasing at a rate of 1
cm/min while the area of the triangle is increasing at a rate of 2
square cm per min. At what rate is the base of the triangle
changing when the altitude is 10 cm and the area is 100 square
cm?

The
altitude of a triangle is increasing at a rate of 2.5 cm/min
while the area the triangle is increasing at a rate of 2.5 cm² per
minute. At what rate is the base of the triangle changing when the
altitude is 8.5 cm and the area is 94 cm² ?

The height of a triangle is decreasing at a rate of 1 cm/min
while its area is increasing at a rate of 2 cm^2/min.
(a) What is the base of the triangle when its height is 10 cm
and its area is 100 cm^2?
(b) At what rate is the base of the triangle changing when its
height is 10 cm and its area is 100cm^2?

the height of a triangle increases at a rate of 3 cm /
min while the area increases at a rate of 4 cm ^ 2 / min. At what
rate does its base change when the height is 10 cm and the area is
90 cm ^ 2

The radius of a melting snowball is decreasing at a rate of 10
centimeters per minute. How fast is the volume changing when the
radius is 1 /2 centimeters? (Feel free to leave your answer in
terms of π, you don’t need to use the approximation π ≈ 3.14).

The radius of a cone is decreasing at a constant rate of 5
centimeters per minute, and the volume is decreasing at a rate of
148 cubic centimeters per minute. At the instant when the radius of
the cone is 22 centimeters and the volume is 21 cubic centimeters,
what is the rate of change of the height? The volume of a cone can
be found with the equation V=1/3 pi r^2h. Round your answer to
three decimal places.

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...

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