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2 years ago

What is the derivative of this? Dy/dx=x^2y+y^2x

Mathematics

1 answer:

Anon25 [30]2 years ago

6 0

Answer:

y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)

Step-by-step explanation:

So, this is an implicit differentiation problem

x^2y+y^2x

so,

use product rule for both

x^2y'+2xy+y^2+2yy'x

collect all the y's

-x^2y'-2xyy'=y^2+2xy

y'(-x^2-2xy)=y^2+2xy

=y^2+2xy/-x^2-2xy

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If y is 2.5 when x is 5 and y varies directly with x, find y when x is 14. 7 7.5 12.5 28

Alexxx [7]

Y is 7 because y is half of x so since x is 14 y is 7 because when x us 5 y is 2.5

5 0

3 years ago

0.7 of what number is 4 1/2?

hjlf

Answer:

x = 45/7

Step-by-step explanation:

Write as an algebraic equation.

Look at each part in the word question : 0.7 of what number is 4 1/2

"0.7 of what number" can be written as 0.7x

The word "is" means equals.

0.7x = 4 1/2 <= The equation, using 'x' to represent the number.

To find the number, isolate 'x'.

0.7x = $4\frac{1}{2}$ Convert mixed fraction to improper fraction

0.7x = $\frac{(4*2)+1}{2}$ Multiply the whole number by the denominator and add it to the numerator

0.7x = $\frac{9}{2}$ Now isolate 'x'

0.7x/0.7 = $\frac{9}{2}/0.7$ Divide both sides by 0.7

x = $\frac{9}{2}/0.7$ Simplify right side

x = $\frac{9}{2}/\frac{7}{10}$ Rewrite 0.7 as a fraction

x = $\frac{9}{2}*\frac{10}{7}$ To divide, you multiply a flipped fraction

x = $\frac{9*10}{2*7}$ Multiply across the top and across the bottom

x = 90/14 Reduce to lowest terms. Top and bottom are divisible by 2

x = 45/7 Answer

5 0

3 years ago

Evaluate 8a+3b-10+c^28a+3b−10+c 2 8, a, plus, 3, b, minus, 10, plus, c, start superscript, 2, end superscript when a=2a=2a,

ohaa [14]

Answer:

The given expression $8a+3b-10+c^2$ at a = 2 , b = 5 and c = 4 is 37.

Step-by-step explanation:

Given : expression $8a+3b-10+c^2$

We have to evaluate the given expression $8a+3b-10+c^2$ at a = 2 , b = 5 and c = 4

Consider the given expression $8a+3b-10+c^2$

Substitute, a = 2 , b= 5 and c = 4

We have,

$=8(2)+3(5)-10+(4)^2$

Simplify, we have,

$=16+13-10+16$

We get,

= 37

So, The given expression $a+3b-10+c^2$ at a = 2 , b = 5 and c = 4 is 37.

4 0

2 years ago

Please help me idk this

PIT_PIT [208]

Answer:

SA=94

Step-by-step explanation:

SA= 2(4*5) + 2(4*3) + 2(5*3)

SA=2(20) + 2(12) + 2(15)

SA=40 + 24 + 30

SA=94

8 0

2 years ago

Mr. Roseanne will buy 12 1/2 pounds beef for for a cookout. The price for the first 3 pounds of beef is $4.99 per pound. After t

Yuri [45]

Answer:

As per the statement:

Mr. Roseanne will buy $12\frac{1}{2}$ pounds beef for for a cookout.

⇒ Weight of the beef he buy = $\frac{25}{2}$ pounds.

It is given that:

The price for the first 3 pounds of beef is $4.99 per pound.

then;

the price for 3 pounds he will pay= $3 \times 4.99 =\$ 14.97$

After that, the price is $4.49 per pound.

Remaining weight of beef left = $\frac{25}{2} -3 = \frac{19}{2}$ pounds.

then;

the price of $\frac{19}{2}$ pounds he will pay = $\frac{19}{2} \times 4.49= \$42.655$

now, total money he will pay for the $12\frac{1}{2}$ pounds beef = $14.97+42.655 = \$57.625$

Therefore, $57.625 will Mr. Roseanne pay for the beef

4 0

3 years ago