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anzhelika [568]
3 years ago
10

If y = xy + x2 + 1, then when x=-1, dy/dx

Mathematics
2 answers:
REY [17]3 years ago
7 0

Answer:

The dy/dx (derivative) would be 2x + y.

Plugging in x = -1, the answer would be y - 2.

Step-by-step explanation:

I passed single-variable Calculus with a perfect 100.

<h2><u><em>PLEASE MARK AS BRAINLIEST!!!!!</em></u></h2>
Lina20 [59]3 years ago
3 0
Given y = xy + x^2 +1, first find y = f(x) = (x^2 + 1) / (1 - x). Then use the quotient rule for derivatives.

dy/dx = [( 1 - x)( 2x) - (x^2 + 1)(-1)] / (1 - x)^2. Substitute the value of x = -1 into the above derivative and get -1/2.
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Laura deposits 2000 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in th
Tems11 [23]

Answer:

Interest paid to Laura is $320

The final amount is $2320

Step-by-step explanation:

Recall that the equation for simple interest is A=P(1+rt) where A is the final amount, P is the principal/initial value, r is the annual interest rate, and t is the time in years.

A=P(1+rt)

A=2000(1+0.04(4))

A=2000(1.16)

A=2320

Therefore, if the final amount is $2320, then the interest paid to Laura is $2320 - $2000 = $320

7 0
3 years ago
Find 7% of £40<br> PLEASE SHOW WORKINNG OUT
stepan [7]

Answer:

£2.80

Step-by-step explanation:

7%= 7/100

(7/100)*40=2.8

5 0
3 years ago
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Find and interpret the slope and y-intercept of y=40x+30
rjkz [21]
The slope is 40 and the y-intercept is 30. Umm... What exactly are you asking for? I'm a bit confused about this question.
3 0
4 years ago
Find two consecutive integers whose sum is 95.<br><br> Let Statement(s) Equation/Solve Answer(s)
Gre4nikov [31]

47 and 48 are the integers.

Step-by-step explanation:

Let,

x and x+1 be the integers, therefore, according to statement;

x+(x+1)=95\\x+x+1=95\\2x+1=95\\2x=95-1\\2x=94\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{94}{2}\\x=47

2nd Integer = x+1

2nd Integer = 47+1

2nd integer = 48

47 and 48 are the integers.

Keywords: Addition

Learn more about addition at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

4 0
4 years ago
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 95 km per hour faster than
andrew-mc [135]

Answer:

887 and 792 km per hour

Step-by-step explanation:

Lets call the first plane A and the second B

we know that: a=b+95

We can say that 3358=2b+(2b+190)<=A

When solved, we get 3168=4b

b=792 km per hour.

Go back to step two. A=b+95, so A=792+95=887 km per hour

The two planes rates are 887 km per hour and 792 km per hour.

8 0
3 years ago
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