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lakkis [162]
3 years ago
5

A curve has the slope 2x+3 at each point (x,y) on the curve. What is an equation for this curve if it passes through the point (

1,2)
Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0
Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions... 

∫f(x) = ∫2x + 3 dx 
F(x) = x^2 + 3x + C 
2 = (1)^2 + 3(1) + C 
2 = 4 + C 
C= -2 

Therefore, the curve is F(x) = x^2 + 3x - 2 

Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met. 

<span>Hope I helped.</span>
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Suppose you choose a team of two people from a group of n &gt; 1 people, and your opponent does the same (your choices are allow
jonny [76]

Answer:

The number of possible choices of my team and the opponents team is

 \left\begin{array}{ccc}n-1\\E\\n=1\end{array}\right     i^{3}

Step-by-step explanation:

selecting the first team from n people we have \left(\begin{array}{ccc}n\\1\\\end{array}\right)  = n possibility and choosing second team from the rest of n-1 people we have \left(\begin{array}{ccc}n-1\\1\\\end{array}\right) = n-1

As { A, B} = {B , A}

Therefore, the total possibility is \frac{n(n-1)}{2}

Since our choices are allowed to overlap, the second team is \frac{n(n-1)}{2}

Possibility of choosing both teams will be

\frac{n(n-1)}{2}  *  \frac{n(n-1)}{2}  \\\\= [\frac{n(n-1)}{2}] ^{2}

We now have the formula

1³ + 2³ + ........... + n³ =[\frac{n(n+1)}{2}] ^{2}

1³ + 2³ + ............ + (n-1)³ = [x^{2} \frac{n(n-1)}{2}] ^{2}

=\left[\begin{array}{ccc}n-1\\E\\i=1\end{array}\right] =   [\frac{n(n-1)}{2}]^{3}

4 0
4 years ago
Solve for the indicated variable. include all of your work in your answer. submit your solution. c = 2r; for r
Aliun [14]
I believe yo meant c=2pir but ok

c=2r
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c/2=r

if you forgot tthe pi
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7 0
3 years ago
Please help me on the first question
tino4ka555 [31]

Answer:

x=5

Step-by-step explanation:

If you add the like terms, 180 would equal 35x + 5. If you subtract 5 on each side, you would get 35x = 175. If you divide each ide by 35 to isolate x, x would be 5.

6 0
3 years ago
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Serjik [45]

After buying the cookies, they both lost money but still share the same balance because in the question it says they went to the store together and decided to buy some cookies, splitting they cost equally, Key word Equally. since they spent the same amount as one another they still share the same balance.

4 0
3 years ago
Plz ANWSER questions 10,11, and 12, plz <br>Plz no one will amwser
k0ka [10]

Answer:

19,8

105,7

144,84

304

Step-by-step explanation:

At first, 9) is not correct.

Formula for surface of parallelogram is

A=a*H

DONt divide with 2.

So the 9) is 19.8

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6 0
3 years ago
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