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Tems11 [23]
2 years ago
14

Consider the following equation. 9x2 − y2 = 6 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly fo

r y and differentiate to get y' in terms of x. y' = ±
Mathematics
1 answer:
qaws [65]2 years ago
6 0

Answer:

Step-by-step explanation:

Given is an equation in x and y as

9x^2 - y^2 = 6

We use implicit method to differentiate the above equation

18x-2yy'=0

y' = 9x/y

b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±

We separate the variables as

yy' =9x\\\frac{y^2}{2} =\frac{9x^2}{2} +C\\y^2 =9x^2+2C

Take square root

y=\sqrt{9x^2+2C} \\y=-\sqrt{9x^2+2C}

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balandron [24]
 break it up into simpler shapes. See the photo.
There is:
trapezoid
A = 0.5(3.2+6.5)4.5
= 21.825

triangle
A = 0.5(2.7)4.5
= 6.075

rectangle
A = 1.8(4.5)
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Total Area = 21.825 + 6.075 + 8.1
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7 0
3 years ago
HELP HELP PLEASE ASAP
topjm [15]

Answer:

Cost for skii: J(x) = 30x + 7

Cost for beach chair: B(x) = 5x + 3

=> Total cost = J(x) + B(x) = 30x + 7 + 5x + 3 = 35x + 10

=> Option C is correct.

Hope this helps!

:)

7 0
2 years ago
6) Find b(10) in the sequence given by b(n) = -5 + 9(n-1).<br> b(10) =?
Sergeeva-Olga [200]

Answer:

76

Step-by-step explanation:

1. Replace n with 10. The equation will look like:

-5+9(10-1)

2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:

-5+9(9)

3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:

-5+81

4. Now we move on to addition and subtraction; add the two numbers!

-5+81=76

There's your answer!! Hope this helped :)

6 0
3 years ago
QUADRATIC EQUATION â€" WORD PROBLEMS
dusya [7]

Answer: -7, 12

Step-by-step explanation:

a+b = 5

a*b = -84

a = 5-b

(5-b)*b = -84

-b^2 + 5b + 84 = 0

(-b - 7)(b + 12) = 0

The roots are -7 and 12.

I'm not sure what â€" stands for

4 0
2 years ago
Find the next four terms in the arithmetic sequence. a - 6, a - 2, a + 2, ...
labwork [276]
The next four terms in the sequence are a + 6, a + 10, a + 14, a + 18. This is because you are adding 4 to what is being done to “a” each time. If you look at the pattern, you’ll see that 4 is being added and the “a” stays the same.
5 0
3 years ago
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