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OverLord2011 [107]
3 years ago
8

Find

Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

dy/dx = -b²a cos α / (a²b sin α)

dy/dx = -b cos α / (a sin α)

dy/dx = -b/a cot α

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You are planning to work in the summer (13 weeks). You
Llana [10]

Answer:

(a) Equations for both

y = 500 + 12x --- lifeguard

y = 15x --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Step-by-step explanation:

Let

x \to hours

y \to total\ pay

Given

Lifeguard job

Signing\ bonus = \$500

Rate = \$12/hr

Camp counselor job

Signing\ bonus =\$0

Rate = \$15/hr

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

y = 500 + 12*x

y = 500 + 12x

Camp counselor

y = 0 + 15 * x

y = 15x

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

x = 5hrs/day * 5days

x = 25hrs

So, the pay for each is:

y = 500 + 12x

y =500 + 12*25

y =800 --- Lifeguard

y = 15x

y = 15 * 25

y = 375 --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

800 > 375

<em>Hence, lifeguard job pays more</em>

6 0
3 years ago
Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?
ycow [4]

9514 1404 393

Answer:

  (x, y, z) = (2+44t, 2+14t, 7-20t)

Step-by-step explanation:

One way to write parametric equations for line L is ...

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where P is the given point and <em>v</em> is the given direction vector. Using that form, we have ...

  (x, y, z) = (2+44t, 2+14t, 7-20t)

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If you like, you can remove a common factor of 2 from the coefficients of t.

  (x, y, z) = (2+22t, 2+7t, 7-10t)

5 0
2 years ago
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Brilliant_brown [7]

Answer:

don't know trying to get the ANSWER

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3 years ago
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hammer [34]
Solid is if x is greater/less than or equal to (there isn’t a symbol for it) the line and the line would be dashed if x is < or > something
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