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Veronika [31]
2 years ago
6

Suppose y = sqrt 2x+1, where x and y are functions of t.

Mathematics
1 answer:
frutty [35]2 years ago
5 0

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

3 = 1/√81 • dx/dt

3 = 1/9 • dx/dt

dx/dt = 27

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12. (2v^3 - v + 8) + (-v^3 + v - 3)<br><br> 14. (4h^3 + 3h + 1) - (-5h^3 + 6h - 2)
Lana71 [14]
12. On addition, you can just combine like terms.
2v^3+(-v^3)=v^3
-v+v cancels each other out
8+(-3)=5
So you have v^3+5

14 On subtraction, you have to remember to distribute the negative sign so after you do that you have:
4h^3+3h+1+5h^3-6h+2
Then you can combine like terms
4h^3+5h^3=9h^3
3h-6h=-3h
1+2=3
So you end up with:
9h^3-3h+3

Hope that helps and feel free to ask any questions.
7 0
3 years ago
I need serious answers ppl keep putting those links
ohaa [14]

Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so <u>if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope</u>. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

7 0
2 years ago
Qual é o resultado da multiplicação a seguir:
earnstyle [38]

Answer:

que????? no entiendo??????

4 0
3 years ago
The ratio of blue crayons to red crayons in a classroom is 32:28. The classroom has 16 blue crayons.
AnnyKZ [126]
32/28=16/x
32x= 448
x=14
There are 14 red crayons in classroom
5 0
2 years ago
Read 2 more answers
BRAINLIEST!!! solve for x <br> 3(2x-4)-4x+7&lt;9
Shalnov [3]

3(2x-4)-4x+7<9

               -7    -7

3(2x-4)-4x<2

6x-12-4x<2

    +12       +12

6x-4x<14

2x<14

/2    /2

x<7

6 0
3 years ago
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