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2 years ago

Please answer there is more than one answer.

Mathematics

1 answer:

Otrada [13]2 years ago

3 0

Answer:

it would be 1/4 and 0.3

Step-by-step explanation:

You might be interested in

Find the derivative.

krek1111 [17]

Answer:

$\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding/Factoring

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = \frac{\sqrt{x}}{e^x}$

Step 2: Differentiate

Derivative Rule [Quotient Rule]: $\displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}$
Basic Power Rule: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}$
Exponential Differentiation: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}$
Simplify: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}$
Rewrite: $\displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}$
Factor: $\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

2 years ago

If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a

ycow [4]

we know the length of the cable is 9m.
That means the magnitude of rAB=9m.
The unit vector, denoted u, is each of rAB divided by the magnitude.

u=(x/9i−y/9j−z/9k)

We can also figure out the unit vector of F.
u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723k

Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)

6 0

3 years ago

2+3+4+3+5+6+7 Anyone want points? Every week once.

Otrada [13]

Answer:

Step-by-step explanation:

Thank you! I hope you have a good day :)

7 0

2 years ago

Read 2 more answers

What are the dimensions of the base of the pyramid?

puteri [66]

Answer

I think the answer is C if its not then say the answer in the comments.

Step-by-step explanation:

3 0

3 years ago

A science teacher needs to choose 4 students from a class of 20 to go to the library to do some research. How many different gro

densk [106]

The number is (20 x 19 x 18 x 17) / (4 x 3 x 2). That's 4,845 . None of the choices is correct.

8 0

3 years ago