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Natalija [7]
3 years ago
5

Order the polynomial -x4 y2 + 7x3 y3 -3xy5 + 2x2 y4 in descending powers of x answer

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Answer is -x^4 y^2 + 7x^3 y^3 + 2x^2 y^4 -3xy^5

Explanation:

When we are asked to arrange the polynomial in descending order of the powers, also if there is more than one variable, then we need to add all the powers of the variables and then arrange them.

So here in the question, we have to arrange in descending order for the powers of variable x, so we will take the highest order of x first and then arrange in the descending order, as follows:

-x^4 y^2 + 7x^3 y^3 + 2x^2 y^4 -3xy^5

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Keith_Richards [23]

Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:

d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]

d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)

Evaluate the derivative at <em>x</em> = -1 :

d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4

This is the slope of the tangent line to the function at (-1, 4).

Use the point-slope formula to get the equation for the tangent line:

<em>y</em> - 4 = 4 (<em>x</em> - (-1))   →   <em>y</em> = 4<em>x</em> + 8

6 0
3 years ago
tank contains 20002000 liters​ (L) of a solution consisting of 112112 kg of salt dissolved in water. Pure water is pumped into t
Ganezh [65]

Answer:

Answer:

t ≅ 5.09 min

Step-by-step explanation:

we have that if in 4000 L/sol there is 132 kg salt and the pumping speed is 12L/s, we must find how much of salt is pumping per second and then find the amount of salt remaining

12L/s*132kg salt/4000L = 0.396 Kg salt/s,  this means that 0.396 kg per second comes out , It should be found that the amount of salt must be drained so that only 11 kg of salt remain

132kg salt - 11 kg salt = 121 kg salt, so

121Kg salt*s/0.396Kg salt ≅ 305.55 s ⇒ 305.55s*min/60s ≅ 5.09 min

Step-by-step explanation:

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He would make $9,000 in 6 months
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28 percent of 63 is what
baherus [9]
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4 0
3 years ago
Read 2 more answers
Please Help! Will mark brainliest!
damaskus [11]

Answer:

440 miles

Step-by-step explanation:

miles  ÷ gallons

132 ÷ 6 = 22

22 miles per gallon

22 × 20 = 440

3 0
3 years ago
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