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3 years ago

2 of 8 = Given that y = 10 cm and 0 = 19°, work out x rounded to 1 DP. у х oo

Mathematics

1 answer:

Drupady [299]3 years ago

8 0

Answer:

x = 3.255 cm

Step-by-step explanation:

Given:

⇒ y = 10cm

⇒ θ = 19

To find:

⇒ Value of "n"

Solution

⇒ By Pythagoras theorem

⇒ Δ Sin θ = n/y

⇒ sin 19° = n/10

⇒ 0.3255 = n/10

⇒ n = 0.3255 × 10

⇒ n = 3.255 cm

Hence, the answer is = n = 3.255 cm.

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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

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Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

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3 years ago

|x-3|+4=12 show all steps <br>Please

SOVA2 [1]

Answer:

|x-3|+4 = 12

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|x-3| = 8

now solve for both positive and negative values

x - 3 = 8 | x - 3 = -8

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x = 11 | x = -5

solution set : { 11, -5 }

Step-by-step explanation:

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4 years ago