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blsea [12.9K]
3 years ago
13

I need help please... im really confused​

Mathematics
1 answer:
NeTakaya3 years ago
6 0

when we divides m(x) ÷n(x) quotient and remainder is

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Finding Derivatives Implicity In Exercise,Find dy/dx implicity.<br> x2e - x + 2y2 - xy = 0
Klio2033 [76]

Answer:

the question is incomplete, the complete question is

"Finding Derivatives Implicity In Exercise,Find dy/dx implicity . x^{2}e^{-x}+2y^{2}-xy"

Answer : \frac{dy}{dx}=\frac{y-(2-x)xe^{-x}}{(4y-x)}

Step-by-step explanation:

From the expression  x^{2}e^{-x}+2y^{2}-xy" y is define as an implicit function of x, hence we differentiate each term of the equation with respect to x.

we arrive at

\frac{d}{dx}(x^{2}e^{-x )+\frac{d}{dx} (2y^{2})-\frac{d}{dx}xy=0\\

for the expression \frac{d}{dx}(x^{2}e^{-x}) we differentiate using the product rule, also since y^2 is a function of y which itself is a function of x, we have

(2xe^{-x}-x^{2}e^{-x})+4y\frac{dy}{dx}-x\frac{dy}{dx} -y=0\\\\(2-x)xe^{-x}+(4y-x)\frac{dy}{dx}-y=0 \\.

if we make dy/dx  subject of formula we arrive at

(4y-x)\frac{dy}{dx}=y-(2-x)xe^{-x}\\\frac{dy}{dx}=\frac{y-(2-x)xe^{-x}}{(4y-x)}

5 0
3 years ago
Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)
Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is -\frac{1}{3}, then the slope of the line perpendicular is 3.

Knowing this, we can start to construct the equation for the line:

y = mx + b

y = 3x + b

To solve for b, we plug in the coordinates of the point that we know the line runs through, (2, 1):

y = 3x + b

1 = 3(2) + b

1 = 6 + b

b = -5

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

y = 3x - 5

5 0
3 years ago
PLEASE HELP<br> Solve. x^2+9x+2=0
Nataliya [291]

Answer:

x = (1/2) (-9 ± √73)

Step-by-step explanation:

Using completing the square method

x²+9x+2=0

x²+9x = -2   (complete the square by adding (9/2)² to both sides)

x²+9x + (9/2)² = -2 + (9/2)²

( x + (9/2) )² = -2+ (9/2)²

( x + (9/2) )² = -2+ (81/4)

( x + (9/2) )² = 73/4

x + (9/2)  = ± √(73/4)

x + (9/2)  = ± √(73) / 2

x = -(9/2) ± √(73) / 2  (factorize out (1/2) )

x = (1/2) (-9 ± √73)

8 0
3 years ago
Greatest to least: 17/20, 19/20, 0.19, 0.24
Yakvenalex [24]
19/20,17/20,0.24,0.19
5 0
3 years ago
What is the surface area of a storage box that measures 15 centimeters by 12 centimeters by 8 centimeters?
Leya [2.2K]
L = 15
w = 12
h = 8

Surface Area = 2(lw + wh + lh)
S.A. = 2(15*12 + 12*8 + 15*8)
S.A. = 2(180 + 96 + 120)
S.A. = 2(396)
S.A. = 792 cm^2
7 0
3 years ago
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