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3 years ago

Help with precal converting Cartesian equation to polar

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

Answer:

Step-by-step explanation:

For cartesian to polar transformation,

x = rcosA , y = rsinA.

Put in the values in the given equation. And (cosA)^2 - (sinA)^2 = cos(2A)

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galina1969 [7]

Answer:

first quadrant

Step-by-step explanation:

4 0

3 years ago

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A circular cloud of poison gas from a factory explosion is expanding so that t hours after the explosion the radius of the cloud

diamong [38]

Answer:

6000π m²/h

Step-by-step explanation:

Area of the circular cloud =πr²----------------------------------------- (1)

Radius as a function of time = R(t)=50+20t------------------------ (2)

dA/dt = (dA/dr) x (dr/dt)-----------------------------------------------------(3)

dA/dr = 2πr

dr/dt = 20

After 5 hours, the radius of the cloud will be :

R(5)=50+20(5)

= 150 meters

Substituting into (3)

dA/dt = 2π(150) x 20

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3 0

3 years ago

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Triss [41]

Answer:

It is correct

Step-by-step explanation:

4 0

2 years ago

The length and width of a rectangle are measured as 30cm and 24cm, respectively, with an error in measured of

larisa [96]

Answer:

The maximum error in the calculated area of rectangle is 5.4 cm².

Step-by-step explanation:

Given : The length and width of a rectangle are measured as 30 cm and 24 cm, respectively, with an error in measured of at most 0.1 cm in each.

To find : Use differentials to estimate the maximum error in the calculated area of rectangle ?

Solution :

The area of the rectangle is $A=l\times w$

The derivative of the area is equal to the partial derivative of area w.r.t. length times the change in length plus the partial derivative of area w.r.t. width times the change in width.

i.e. $dA=\frac{\partial A}{\partial L}\Delta L+\frac{\partial A}{\partial W}\Delta W$

Here, $\frac{\partial A}{\partial L}=30,\ \frac{\partial A}{\partial W}=24 ,\ \Delta L=0.1,\ \Delta W=0.1$

Substitute the values,

$dA=(30)(0.1)+(24)(0.1)$

$dA=3+2.4$

$dA=5.4$

Therefore, the maximum error in the calculated area of rectangle is 5.4 cm².

7 0

3 years ago

Determine if the two figures are similar by using transformations.

katrin [286]

The answer is “translation followed by a dilation” :)

8 0

3 years ago