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2 years ago

21.evaluate 22.find dy/dx

Mathematics

2 answers:

Sauron [17]2 years ago

4 0

<h2>Long short story: I tried ;-; </h2>

Viefleur [7K]2 years ago

3 0

9514 1404 393

Answer:

y' = -y/x

Step-by-step explanation:

It looks like you have ...

e^z -z = 0 . . . . . where z = xy

Differentiating with respect to x gives ...

z'·e^z -z' = 0

z'(e^z -1) = 0

The zero-product rule tells you this is true for e^z = 1, which is not useful for finding y', and for z' = 0, which is.

z = xy

z' = y +xy' = 0

y' = -y/x

_____

Additional comment

There appear to be no real values of x and y that will make your equation true.

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Can anyone help me with this?

siniylev [52]

Answer:

1. 280/11

2. 1700/11

3. 280/11

4. 3600

5. 360

Step-by-step explanation:

Let n = sides of a regular polygon

For these problems, n = 22 because there are 22 sides.

I am going to write the formulas needed for each question below.

360/n
180 - 360/n
360/n
180(n-2)
360 (isn't affected by n)

To solve, just plug in N with 22.

These formulas are very easy to prove and I recommend if you have time try to prove these.

5 0

2 years ago

Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4

jok3333 [9.3K]

Answer:

$\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10$

General Formulas and Concepts:
Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

Step 1: Define

Identify.

y = 2x + 3

x-interval [3, 4]

x-axis

See attachment for graph.

Step 2: Find Area

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^4_3 {2x + 3} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3$
[Integrals] Integrate [Integration Rule - FTC 1]: $\displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)$
Simplify: $\displaystyle A = 10$