Question

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?

Answer #1

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 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

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 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?

(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 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 side x of a rectangle is increasing at a rate of 2 cm/s
while its side y is decreasing
at a rate of 1 cm/s.
(a) Find how fast the perimeter P of the rectangle is changing when
x = 4 cm and
y = 3 cm.
(b) Find how fast the area A of the rectangle is changing when x =
4 cm and y = 3
cm.
(c) Find how fast the length l of diagonal of...

The radius of a circular cylinder is increasing at rate of 3
cm/s while the height is decreasing at a rate of 4 cm/s.
a.) How fast is the surface area of the cylinder changing when
the radius is 11 cm and the height is 7 cm? (use A =2 pi r2 +2 pi
rh )
b.) Based on your work and answer from part (a),is the surface
area increasing or decreasing at the same moment in time? How do...

One side of a triangle is increasing at a rate of 9 cm/s and a
second side is decreasing at a rate of 7 cm/s. If the area of the
triangle remains constant, at what rate does the angle between the
sides change when the first side is 22 cm long, the second side is
31 cm, and the angle is π/3? (Round your answer to three
decimal places.)

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