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Marizza181 [45]
2 years ago
11

Find the first derivative of x^2+y^2=25​

Mathematics
1 answer:
lozanna [386]2 years ago
4 0

Answer:

\frac{dy}{dx}=-\frac{x}{y}

Step-by-step explanation:

Use implicit differentiation:

x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

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I NEED HELP ASAP... PLEASE HELP
Evgen [1.6K]
The first one is y=6(x-2)^2+4 and the second one is y=-3/2(x+6)^2+4
6 0
3 years ago
Grace is having trouble deciding what to order for dessert. The options are 4 different flavors of ice cream, 3 different flavor
tangare [24]

Answer: The probability that she would choose cake is 0.33 (or 33%)

Step-by-step explanation: The number of all possible outcomes is given as follows;

4 (ice cream) + 3(cake) + 2(pie), that is 4 + 3 + 2 = 9  

This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.

However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.

Therefore the probability that she will choose a cake is give as,

P(Cake) = Number of required outcomes/Number of all possible outcomes

P(Cake) = 3/9

P(Cake) = 1/3 or 0.33

Therefore the probability that she would choose cake is 0.33 or 33%

5 0
3 years ago
Can anyone help me solve this problem?​
lions [1.4K]

Answer:

x=58, m<DCB=56°

Step-by-step explanation:

Ok the sum of those two angles should equal 180 degrees so,

2x+8+x-2=180

solve the equation

3x+6=180

3x=174

x= 58

M<DCB=x-2--> 58-2=56

6 0
3 years ago
Help answering this simple Series Question? I don't know what I did wrong!
Tatiana [17]
Looks like you just evaluated the summand for the given value of n, whereas the question is asking you to find the value of the sum for the first n terms.

Let S_k=\displaystyle\sum_{n=1}^k\frac3{(-2)^n}. Then S_k is the kth partial sum.

S_1 happens to be the first term in the series, which is why that box is marked correct:

S_1=\displaystyle\sum_{n=1}^1\frac3{(-2)^n}=\frac3{(-2)^1}=-1.5

But the next partial sum is not correct:

S_2=\displaystyle\sum_{n=1}^2\frac3{(-2)^n}=\frac3{(-2)^1}+\frac3{(-2)^2}=-0.75

and this is not the same notion as the second term (which indeed is 0.75) in the series.
5 0
3 years ago
Which shows the correct simplification of product of powers?
Brums [2.3K]
The power symbols are missing.

I can infere that the product intended to simplify is (7^8) * (7^-4)., because that permits you to use the rule of the product of powers with the same base.

That rule is that the product of two powers with the same base is the base raised to the sum of the powers is:

(A^m) * (A^n) = A^ (m+n)

=>(7^8) * (7^-4) =  7^ [8 + (- 4) ] = 7^ [8 - 4] = 7^4, which is the option 3 if the powers are placed correctly.
5 1
4 years ago
Read 2 more answers
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