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3 years ago

Given the equation 1/4y+3/4=8, what number

Mathematics

1 answer:

const2013 [10]3 years ago

3 0

Answer:

#fddddffdddfloodsuuf

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I will mark you brainliest if its correctly

zheka24 [161]

Step-by-step explanation:

sina = -√3/2

$\cos(a) = \sqrt{1 - { \sin(a) }^{2} }$

$= \sqrt{1 - { (\frac{ - \sqrt{ 3} }{2}) }^{2} }$

$= \sqrt{ \frac{4 - 3}{4} }$

$= \sqrt{ \frac{1}{4} }$

=±1/2

Since, π<a<3π/2

cos a = -1/2

$\tan(a )= \frac{ \sin(a) }{ \cos(a) }$

$\tan(a ) = \sqrt{3}$

OptionB

8 0

3 years ago

How do you write 0.7 as a percentage

SOVA2 [1]

Answer:

70%

Step-by-step explanation:

8 0

4 years ago

Solve the word problem below using the steps given in the lesson above. Show your equation and each step you take to solve it.

maria [59]

Answer:

Let Tom's cards = x

Equation:

Neils Cards = x + 83 (Neil has 83 more cards)

x + 83 = 517 (Tom has 83 cards less than Neil)

x = 434

7 0

3 years ago

If I go 800 feet in 5 seconds how fast am I going in MPH?

defon

Hi.

800/5 = 160 mph

You are going 160 miles per hour.

8 0

4 years ago

Compute the second partial derivatives ∂2f ∂x2 , ∂2f ∂x ∂y , ∂2f ∂y ∂x , ∂2f ∂y2 for the following function. f(x, y) = 2xy (x2 +

blsea [12.9K]

Answer with step-by-step explanation:

We are given that a function

$f(x,y)=2xy(x^2+y^2)^2$

Differentiate partially w.r.t x

Then, we get

$\frac{\delta f}{\delta x}=2y(x^2+y^2)^2+8x^2y(x^2+y^2)=(x^2+y^2)(2x^2y+2y^3+8x^2y)=2(5x^2y+y^3)(x^2+y^2)$

Differentiate again w.r.t x

$\frac{\delta^2f}{\delta x^2}=2(10xy)(x^2+y^2)+4x(5x^2y+y^3)=20x^3y+20xy^3+20x^3y+4xy^3=40x^3y+24xy^3$

Differentiate function w.r.t y

$\frac{\delta f}{\delta y}=2x(x^2+y^2)^2+2xy\times 2(x^2+y^2)\times 2y$

$\frac{\delta f}{\delta y}=(x^2+y^2)(2x^3+2xy^2+8xy^2)=2(x^2+y^2)(x^3+5xy^2)$

Again differentiate w.r.t y

$\frac{\delta^2f}{\delta x^2}=2(2y)(x^3+5xy^2)+20xy(x^2+y^2)=4x^3y+20xy^3+20x^3y+20xy^3=24x^3y+40xy^3$

Differentiate partially w.r.t y

$\frac{\delta^2f}{\delta y\delta x}=2(2y(5x^2y+y^3)+(x^2+y^2)(5x^2+3y^2))=10x^4+36x^2y^2+10y^4$

$\frac{\delta^2f}{\delta y\delta x}=10x^4+36x^2y^2+10y^4$ $\frac{\delta^2f}{\delta x\delat y}=2(2x(x^3+5xy^2)+(3x^2+5y^2)(x^2+y^2))=10x^4+36x^2y^2+10y^4$

$\frac{\delta^2f}{\delta x\delat y}=10x^4+36x^2y^2+10y^4$

Hence, if f(x,y) is of class $C^2$ (is twice continuously differentiable), then the mixed partial derivatives are equal.

i.e $\frac{\delta^2f}{\delta y\delta x}=\frac{\delta^2f}{\delta x\delta y}$

8 0

4 years ago