All categories

3 years ago

Find the derivative y=x(2^x) y’=

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Answer:

$y' =2^x ( 1 + xln 2 )$

Step-by-step explanation:

given,

$y= x\ 2^x$

$\frac{\mathrm{d} y}{\mathrm{d} x} = \frac{\mathrm{d} }{\mathrm{d} x}(x\ 2^x )$

using chain rule

$y'= x (2^x ln 2) + 2^x(1)$

$y' = 2^x + x (2^x ln 2)$

$y' =2^x ( 1 + xln 2 )$

hence the answer is given above.

You might be interested in

Aa'ida is ordering laminate flooring to install in a number of condominium kitchens she's remodeling. She has to remodel 10 tota

PtichkaEL [24]

Answer:

74.36 m^2 is the total flooring area in m^2.

Step-by-step explanation:

10 - 8 by 10 ft kitches comes to 800 ft^2. We need to convert this to m^2. Recall that 1 m = 3.28 ft. From this we know that (1 m)^2 = (3.28 ft)^2 = 10.76 ft^2.

Multiply 800 ft^2 by the conversion factor (1 m)^2 / 10.76 ft^2. We get:

74.36 m^2.

7 0

3 years ago

C(n)=-6+5(n-1)<br> find the 8th term in this sequence

Goryan [66]

Answer:

Just replace n by 8 ===> C(8) = -6+5(8-1) = - 6 + 5x7 = -6+35 = 29

Step-by-step explanation:

We have been given a sequence formula. We are asked to find the 8th term of our given sequence.

We know that an arithmetic sequence is in form A_n=a_1+(n-1)d, where,

A_n=\text{ nth term of sequence},

A_1=\text{ 1st term of sequence},

n = Number of terms in sequence,

d = Common difference.

To find the 8th term of our given sequence, we will substitute n=8 in our given formula.

c(n)=-6+5(n-1)

c(8)=-6+5(8-1)

c(8)=-6+5(7)

c(8)=-6+35

5 0

3 years ago

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. Which equation c

Alex17521 [72]

Answer:

Equation is $0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)$

0.125 gallons of the 35% acid solution Eli should add.

Step-by-step explanation:

Given : Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

To find : Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution :

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = $0.5\times 0.1$

For x gallon of a 35% acid solution = $x\times 0.35$

For (0.5+x) gallon of a 15% acid solution = $0.5+x\times 0.15$

The equation form is

$0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)$

Solving the above equation,

$0.05+0.35x = 0.075 + 0.15x$

$0.2x = 0.025$

$x =\frac{0.025}{0.2}$

$x=0.125$

Therefore, 0.125 gallons of the 35% acid solution Eli should add.

The equation is $0.5 \text{ gal }\times(0.1) + x \text{ gal }\times(0.35) =(0.5 + x)\times (0.15)$

3 0

3 years ago

Read 2 more answers

Can any one help me on this really lost on this one please help

Evgesh-ka [11]

Might be wrong but I might be right so the answer is there is no solution

7 0

3 years ago

Read 2 more answers

Whats the fraction 18/24 reduced to its lowest items?

asambeis [7]

Hello!

$\sf Answer:$

The fraction 18/24, reduced to its lowest terms, is: $\boxed{3/4}$
_____________________________

Divide both the numerator and the denominator by the GCD of 18 and 24, which is 6:

18 ÷ 6 = 3

24 ÷ 6 = 4

It's simplest form would be 3/4. This cannot be reduced further.

3 0

4 years ago