Multiplying a function by a constant factor (10 in this example) stretches the graph relative to the x-axis. If f(x) would be a sine, you would blow up the amplitude from -1..+1 to -10..+10.

8 0

3 years ago

Of all rectangles with area 324324, which one has the minimum perimeter? Let P and w be the perimeter and width, respectively

ra1l [238]

Answer:

For w = 18 units perimeter is minimum

P = 2(18 + w)

Step-by-step explanation:

Given;

Area of the rectangle = 324 units²

P is the perimeter

w is the width

Let L be the length of the rectangle

therefore,

P = 2(L + w) ............(1)

also,

Lw = 324

L = $\frac{324}{w}$ ..........(2)

substituting 2 in 1

P = $2(\frac{324}{w} + w)$

now,

for minimizing the perimeter

$\frac{dp}{dw}=\frac{d(2(\frac{324}{w} + w))}{dw}$ = 0

$2((-1)\frac{324}{w^2}+1)$ = 0

$(-1)\frac{324}{w^2}+1$ = 0

$(-1)\frac{324}{w^2}$ = -1

w² = 324

w = 18 units

For w = 18 units perimeter is minimum

therefore,

from 2

L = $\frac{324}{18}$

L = 18 units

objective function for P is:

P = 2(18 + w)

8 0

2 years ago

URGENT] <br>What is the perimeter of the figure? 28 m 22 m 20 m 14 m

egoroff_w [7]

Answer:

20m

Step-by-step explanation:

5+3+1+7+4=20

8 0

2 years ago

What must be the values of x in the expression 3×/y=4?

kykrilka [37]

X=4y/3
hope that helps

4 0

2 years ago