MATHEMATICS COLLEGE

19.Find dy/dx
of the function y = f(x) definded by x²+xy-y2 = 4.

Answers

Answer 1
Answer:

Answer:

2x + y

Step-by-step explanation:

x² + xy - y² = 4

→ Remember the rule, bring the power down then minus 1

2x + y

Related Questions

What’s 1/2 + 8/12 need it in a reduced fraction
Select all the correct answers.Which expressions are equivalent to the given expression.y^-8y^3x^0x^-2​
A new television is on sale for $680.00, which is 20% off of its original price. What was the original price of the television?
1. number 5 added to three times the product of M and N.2. product of number Y and Z subtracted from 10.3. sum of number X and Y subtracted from their products.4. workings pls​
Anna said that the product of 7/8 ⋅ 1 1/2 =7/2. How can you tell that her answer is wrong/

Find an explicit solution (solved for y) of the given initial-value problem in terms of an integral function. dy/dx + 3y = e^x^5, y(2) = 5.

Answers

Answer:

Step-by-step explanation:

Using linear differential equation method:

\frac{\mathrm{d} y}{\mathrm{d} x}+3y=e^5^x

I.F.= e^{\int {Q} \, dx }

I.F.=e^{\int {3} \, dx }

I.F.=e^(3x)

y(x)=(1)/(e^(3x))[\int {e^(5x)} \, dx+c]

y(x)=(e^(2x))/(5)+e^(-3x)* c

substituting x=2

c=(25-e^4)/(5e^(-6))

Now

y=(e^(2x))/(5)+e^(-3x)* (25-e^4)/(5e^(-6))

In the equation (y-7)=(3)/(4)(x-5) a point on that line is1.(-5,-7)
2.(7,5)
3.(-7,-5)
4.(5,7)

Answers

Answer:

First find the slope of the straight line, m=(Y2-Y1)/(X2-X1)=(17–7)/(-5–0)=-2.

Using the standard equation of a straight line, y=mx+b, we know that m=-2.

Thus, so far we know that y=-2x+b.

Now plug in the coordinates of either of the above points, that we know do lie on the straight line, into our equation, y=-2x+b, and solve for b.

I will use the first point, (0,7), to get 7=(-2)(0)+b.

Solving for b, we see that b=7.

Therefore, the equation of the straight line is y=-2x+7.

It is a good idea to check your answer on a graphing calculator.

Ruth has the following set of refrigerator magnets: {A, B, C, D, E}. (a) How many different three-letter strings can she form with these magnets? (b) How many different three-letter strings can she form if the middle letter must be a vowel?

Answers

Answer:

a. 60

b.24

Step-by-step explanation:

a. We use permutation, it would be 3 taken out of 5, or 5*4*3

b.if A or E must be used, then we have 4*3*2

Use the order of operations to simplify: 9 ÷ 3 + 4 × 6

Answers

Answer:

27

Step-by-step explanation:

First is 9 / 3 which is 3 and then 4 x 6 which is 24 then 24 + 3  = 27

Answer:

PEMDAS

4 × 6 is 24

9 ÷ 3 is 3

24  + 3 = 27

Step-by-step explanation:

Find the inverse laplace transform of: (2 s + 4) / (s - 3)^3

Answers

Answer:

e^(3t)(2t+5t^(2))

Step-by-step explanation:

L^(-1)[(2s+4)/((s-3)^(3)) ]=

Using the Translation theorem to transform the s-3 to s, that means multiplying by and change s to s+3

Translation theorem:L^(1) [F(s-a)=L^(-1)[F(s)|_(s \to s-a)\n L^(1) [F(s-a)=e^(at) f(t)

L^(-1)[(2s+4)/((s-3)^(3)) ]=e^(3t) L^(-1)[(2(s+3)+4)/(s^(3)) ]

Separate the fraction in a sum:

e^(3t) L^(-1)[(2s+10)/(s^(3)) ]=e^(3t) L^(-1)[(2s)/(s^(3))+(10)/(s^(3)) ]=e^(3t) (L^(-1)[(2)/(s^(2))]+ L^(-1)[(10)/(s^(3))])

The formula for this is:

L^(-1)[(n!)/(s^(n+1)) ]=t^(n)

Modify the expression to match the formula.

e^(3t) (2L^(-1)[(1)/(s^(1+1))]+ (10)/(2) L^(-1)[(2)/(s^(2+1))])=e^(3t) (2L^(-1)[(1)/(s^(1+1))]+ 5 L^(-1)[(2)/(s^(2+1))])

Solve

e^(3t) (2L^(-1)[(1)/(s^(1+1))]+ 5 L^(-1)[(2)/(s^(2+1))])=e^(3t)(2t+5t^(2) )

Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?​

Answers

Answer:

Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.

Step-by-step explanation:

At store R, we get the fourth tire for free, if we buy three tires.

Each tire costs $150, so the cost of 3 tires is .

So at store R, we get 4 tires for $450.

At store S, if we buy 4 tires, we pay $70 off for each tire.

Each tire costs $200, so the cost of 4 tires is

If we get $70 off for each tire, we get  for 4 tires.

So at store S, we get 4 tires for

So at store S, we get 4 tires for $520.

Step 2:

At store T, if we buy 4 tires, we pay $200 off the total price.

Each tire costs $175, so the cost of 4 tires is

If we get $200 off the total price, we get  for 4 tires.

So at store T, we get 4 tires for $500.

At store V, if we buy 4 tires, we get 10% of the total price.

Each tire costs $130, so the cost of 4 tires is

If we get 10% off the total price, we get  for 4 tires.

So at store V, we get 4 tires for $468.

Step 3:

So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.

So Isaiah will get the lowest price on 4 tires at store R.

At store R, we get the fourth tire for free, if we buy three tires.

Each tire costs $150, so the cost of 3 tires is .

So at store R, we get 4 tires for $450.

At store S, if we buy 4 tires, we pay $70 off for each tire.

Each tire costs $200, so the cost of 4 tires is

If we get $70 off for each tire, we get  for 4 tires.

So at store S, we get 4 tires for

So at store S, we get 4 tires for $520.

Step 2:

At store T, if we buy 4 tires, we pay $200 off the total price.

Each tire costs $175, so the cost of 4 tires is

If we get $200 off the total price, we get  for 4 tires.

So at store T, we get 4 tires for $500.

At store V, if we buy 4 tires, we get 10% of the total price.

Each tire costs $130, so the cost of 4 tires is

If we get 10% off the total price, we get  for 4 tires.

So at store V, we get 4 tires for $468.

Step 3:

So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.

So Isaiah will get the lowest price on 4 tires at store R.
Other Questions
The product of a number is not less than 45. The inequality for the statement is.​
Malik is buying a guinea pig. The guinea pig comes with a cage and food bowls for $ 125.00 . The expenses for feeding and caring for the guinea pig are $ 18.00 each month. How much will it cost Malik to buy and care for the guinea pig for one year?
Let X be the set of all 3×3 matrices whose diagonal entries are all 0. With the usual matrix addition and scalar multiplication, is X a vector space? (b) Let Y be the set of all 3 × 3 matrices whose diagonal entries add up to 0. With the usual matrix addition and scalar multiplication, is Y a vector space?
Find the missing anglemeasures marked withquestion marks.