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lozanna [386]
3 years ago
7

How are the graphs of the functions f(x) = . 16and g(x) = 3/64 related?

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer: A  there are equivalent.

Step-by-step explanation:

f(x) = \sqrt{16}^x  reduces to  f(x)=4^{x}  

g(x)= \sqrt[3]{64}^{x}   also reduces to g(x) = 4^{x}  

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Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun
WITCHER [35]

Answer:

Required solution (a) f(x,y,z)=xyz+3z^2+C (b) 40.

Step-by-step explanation:

Given,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k

(a) Let,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}

Then,

f_x=yz,f_y=xz,f_z=xy+6z

Integrating f_x we get,

f(x,y,z)=xyz+g(y,z)

Differentiate this with respect to y we get,

f_y=xz+g'(y,z)

compairinfg with f_y=xz of the given function we get,

g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)

Then,

f(x,y,z)=xyz+h(z)

Again differentiate with respect to z we get,

f_z=xy+h'(z)=xy+6z

on compairing we get,

h'(z)=6z\implies h(z)=3z^2+C   (By integrating h'(z))  where C is integration constant. Hence,

f(x,y,z)=xyz+3z^2+C

(b) Next, to find the itegration,

\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40

3 0
3 years ago
3x-7&gt;5<br> Find the solution, please show your work. Thank You!1
miskamm [114]
To find x just change the <span>> to a =
</span><span>3x-7=5
add 7
3x=12
then divide by 3
x=4

</span>

7 0
3 years ago
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Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling C
katovenus [111]

Answer:

2.75 x (c) = 500

Step-by-step explanation:

i think this is it

8 0
3 years ago
Name the edges of an hexagonal pyramid​
aleksandrvk [35]

Given:

Hexagonal pyramid

To find:

The edges of an hexagonal pyramid.

Solution:

Edges means lines which connecting to vertices.

Edges in the base of the pyramid:

AB, BC, CD, DE, EF, FA

Edges in the triangular shape of the pyramid:

AG, BG, CG, DG, EG, FG

Therefore edges of an hexagonal pyramid are:

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4 0
3 years ago
the theaters sell tickets for a concert. tickets for the lower level are $35 each and tickets for the upper level are $25 each.
nasty-shy [4]
Equation 1 for tickets sold:
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Equation 2 for quantity (number #) of tickets sold:
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Use substitution method:

y = 350 - x

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35x + $8750 - 25x = $10,250

10x + $8750 = $10,250
- $8,750 -$8,750

10x = 1,500

x = 150

y = 350 - 150

y = 200

Check the answers:

$35 (150) + $25 (200) =

$5,250 + $5,000 = $10,250
4 0
3 years ago
Read 2 more answers
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