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PtichkaEL [24]
2 years ago
12

Evaluate the expression for (2^2x2/xy^2) for x=3 and y=2

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
8 0

Step-by-step explanation:

(2^2x²/xy²) for x=3 and y=2

we have

2^2(3)²/((3)(2²))

2^2(9)/((3)(4))

2^18/12

262144/12

21845.3

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The expression 28 + 63 is equivalent to<br> 1 91<br> 2 5,7<br> 3 6/7<br> 4 13,7
Yuliya22 [10]

Answer:

1) 91

Step-by-step explanation:

28 + 63 = 91

3 0
2 years ago
The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
Read 2 more answers
What is the equation of a line that passes through the points (1,6) and (2,1)?
algol13

Answer:

y = -5x+11

Step-by-step explanation:

3 0
3 years ago
What is the value of the remainder if 10x4 – 6x3 + 5x2 – x + 1 is divided by x – 3?
natita [175]

Answer:

Remainder is 691.

Step-by-step explanation:

Given function is 10x^4-6x^3+5x^2-x+1.

Now we need to find remainder if we divide given function 10x^4-6x^3+5x^2-x+1 by (x-3)

(x-3) means plug x=3 into 10x^4-6x^3+5x^2-x+1 to find remainder.

10x^4-6x^3+5x^2-x+1

=10(3)^4-6(3)^3+5(3)^2-(3)+1

=10(81)-6(27)+5(9)-(3)+1

=810-162+45-3+1

=856-162-3

=856-165

=691

Hence remainder is 691.

8 0
3 years ago
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Given the function f(x) = -5x2 + 3x, express the value of f(a+h) – f(x) in simplest<br> form.
chubhunter [2.5K]

Step-by-step explanation:

it comes to

- 7x

6 0
2 years ago
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