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3 years ago

Find dy/dx (derivative) using Implicit Differentiation: xe^y=x-y

1 answer:

6 0

D (xe^y)/dx = d(x - y)dx
(e^y)dx/dx + xd(e^y)/dx = 1 - y'
e^y + xy'e^y = 1 - y'
(1 + xe^y)y' = 1 - e^y
y' = (1 - e^y)/(1 + xe^y)

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Will make ya brainliest pleaseee help

mash [69]

Answer:

Step-by-step explanation:

One thing to note is that the side opposite to the angle is taken as perpendicular

If we take 57 as angle then it's opposite side is perpendicular

While if we take 33 as angle x is the perp

6 0

2 years ago

Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At su

Kipish [7]

Answer:

7 hours

Step-by-step explanation:

We are given that

At sunset, the temperature=-5 degrees Fahrenheit

Each hour, temperature falling=2degrees Fahrenheit

We have to find time taken to reach the temperature -19° F.

Let x be the time time taken to reach the temperature -19° F

According to question

$-5+x(-2)=-19$

Where we taking 2 negative because temperature decreases.

$-5-2x=-19$

$-5+19=2x$

$14=2x$

$x=\frac{14}{2}$

$x=7$

Hence, it will take 7 hours for the temperature to reach -19° F.

3 0

3 years ago

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

The numbers 1-4 are each written on an index card. The 4 cards are put into a bag and 2 of them are drawn at random. What is the

devlian [24]

Answer:

Step-by-step explanation:

Write a list of all possible outcomes

1-2

1-3

1-4

2-1

2-3

2-4

3-1

3-2

3-4

4-1

4-2

4-3

There are 12 possible outcomes. How many of them have totals of 6 or 7

I count 4

So the probability is 4/12 = 1/3, just as you said.

Is there an easier way?

You might be able to get the 12 easier.

You have 4 choices for the first number and 3 for the second.

P(12) = 4*3 = 12

Getting 6 or 7 might be somewhat trickier.

4 and 3 make seven. That gives two ways 4-3 and 3-4

4 and 2 make six. That gives 2 more ways 4-2 and 2-4

That's all that's possible.

answer: 4 ways make success. The total number of ways is 12.

7 0

2 years ago

In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of angle C is 6°

amid [387]

Answer:

<A = 18.6 Degree

<B =74.4 Degree

<C = 87 Degree

Step-by-step explanation:

Sum of all the angles of triangle is 180

as given ,

<A = ?

<B = 4<A

<C = 5 <A - 6

As per rule ,

<A + <B +<C = 180

<A + 4 <A + 5<A - 6 = 180

10 <A - 6 = 180

10 <A = 180 + 6

<A = 186 / 10

<A = 18.6 Degree

Hence ,

< B = 4 X (18.6)

< B = 74.4 Degree

and

<C = 5 (18.6) - 6

<C = 87 Degree

PROOF

<A + <B + <C = 180

18.6 + 74.4 + 87 = 180

180 = 180

4 0

3 years ago