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yan [13]
3 years ago
6

What statement About the value of x is true

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

there isn't any information about what the equation or statements are

Step-by-step explanation:

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Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu
irga5000 [103]
We want to find a scalar function f(x,y) such that \nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j.
So we need to have
\dfrac{\partial f}{\partial x}=3+4xy^2
Integrating both sides with respect to x gives
f(x,y)=3x+2x^2y^2+g(y)
Differentiating with respect to y gives
\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C
So we find that
f(x,y)=3x+2x^2y^2+C
By the fundamental theorem of calculus, we then know the line integral depends only on the values of f(x,y) at the endpoints of the path. Therefore

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6
4 0
3 years ago
Factorise fully 6ac + 10ac​
ikadub [295]

Step-by-step explanation:

6ac+10ac

2ac(6ac+10ac)

2ac(3+5)

4 0
3 years ago
ILL GIVE U BRAINLISTTT!!
denis-greek [22]

Answer:

I hope it's help

Step-by-step explanation:

I hope it's help

3 0
3 years ago
The kinetic energy k of an object in joules is given by the formula k = 1 mv2, where m is the object's mass in kilograms and v i
RideAnS [48]

Answer:

108,000 joules

Step-by-step explanation:

Kinetic energy, k = 1/2 mv^2

Where,

m = mass of the object in kilogram

v = velocity in meters per seconds

If

Velocity of an object = 20 meters per seconds

Kinetic energy = 48,000 joules

Solve for m

k = 1/2 mv^2

48,000 = 1/2 × m × 20^2

48,000 = 1/2 × m × 400

48,000 = 200m

m = 48,000 / 200

m = 240 kg

If it speeds up to 30 meters per second, then what is its new kinetic energy?

k = 1/2 mv^2

Using m = 240 kg

k = 1/2 mv^2

= 1/2 × 240 × 30^2

= 1/2 × 240 × 900

= 216,000 / 2

= 108,000 joules

The new kinetic energy = 108,000 joules

6 0
3 years ago
Read 2 more answers
Leroi and Sylvia both put $200 in a savings account. Leroi decides he will put in an additional $40 each week. Sylvia decides to
Arlecino [84]

Answer:

First deposit - Same amount

Second deposit - Sylvia

Third deposit - Sylvia

Step-by-step explanation:

Leroi put $200 in their account. They will add $40 every week.

Deposit 1: $240

Deposit 2: $280

Deposit 3: $320

Sylvia put $200 in their account. They will add 20% of the amount in the account each week.

Deposit 1: $240 (20% of $200 is $40)

Deposit 2: $288 (20% of $240 is $48)

Deposit 3: $345.60 (20% of $288 is $57.60)

So, Sylvia and Leroi have the same amount of money in their accounts after the first deposit. After the second and third deposit, Sylvia has more money.

4 0
3 years ago
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