All categories

2 years ago

E^4x-5-e=0 Solve the equation for x

Mathematics

1 answer:

kati45 [8]2 years ago

8 0

Answer:

$x = \frac{1}{4} \times In(5 + e)$

Step-by-step explanation:

${e}^{4x} - 5 - e = 0 \\ {e}^{4x} = 5 + e \\ 4x = In(5 + e) \\$

$\boxed{Answer:{\boxed{\green{x = \frac{1}{4} \times In(5 + e)}}}}$

You might be interested in

A man can take a same time to row 13km downstream and 7km upstream.His speed in still water is 5km/hr.The speed of stream is

vekshin1

Answer:

0.6 km/hr

Step-by-step explanation:

Speed downstream: 13/5= 2.6 km/hr

Speed upstream: 7/5= 1.4 km/hr

Therefore, Velocity of current is: 1/2 (2.6-1.4) km/hr = 1/2(1.2) km/hr

8 0

1 year ago

10n + 7 > n - 3 (5 - 3n) plz

Ad libitum [116K]

Are you trying to figure out the value of n?

4 0

3 years ago

Read 2 more answers

HELP ASAP ! NO GUESSING, I BEG YOU. // 5(4x + 2) ÷ 7y

Mrrafil [7]

Hope this photo helps

6 0

3 years ago

Read 2 more answers

What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)

zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

Integrals
Definite Integrals
Integration Constant C

Arc Length Formula [Parametric]: $\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.$

Interval [0, π]

Step 2: Find Arc Length

[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: $\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.$
Substitute in variables [Arc Length Formula - Parametric]: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx$
[Integrand] Simplify: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx$
[Integral] Evaluate: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}$

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

4 0

3 years ago

To rent a certain meeting room, a college charges a reservation fee of $ 37 and an additional fee of $ 9.70 per hour. The math c

Svetach [21]

So your equation would be 37 + 9.70x

114 - 37 would get you 77 dollars. Next, you have to find out how many times 9.70 goes into 77. They would be able to rent the room for a total number of 7 hours because that's how many times 9.70 can fit into 77 evenly.

8 0

3 years ago

Read 2 more answers