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sukhopar [10]
3 years ago
5

Differentiate the function y = 2x*log[10](sqrt(x))

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0
We are given with the equation y = 2x*log[10](sqrt(x))  we use the rule of products of the differential equation to answer this problem. y' = u dv + v du. derivative of 2x is 2 while the derivative of log(sqrt(x)) with base 10 is 1/x ln10 * (0.5x^-0.5) in this case, 
y' = 2 log[10](sqrt(x)) + 2x* 1/x ln10 * (0.5x^-0.5)
y' = 2 log[10](sqrt(x)) + l/ ln 10 sqrt(x)
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The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression cannot be use
Ksivusya [100]

Answer:

Future value A = P(1+r)^(t)

A = 27000(1+0.065)^1

A = 27000(1.065)

A = 28755 units

Corrected question;

The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression can be used to calculate the price of the new Ford this year

Step-by-step explanation:

Applying the future value formula;

A = P(1+r)^(t) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

t = time in years

Given;

P = 27,000

r = 6.5% = 0.065

t = 1 year

Substituting the given values;

So A = 27000(1+0.065)^1

A = 27000(1.065)

A = 28755 units

3 0
2 years ago
It took a skydive 6 seconds to drop 720feet. What is the rate (in feet per/second) of the skydive's drop?
Lostsunrise [7]

Answer:

120ft/sec

Step-by-step explanation:

Assuming that there is no acceleration, divide the amount of feet (720) with the time (6 seconds):

720 ft/6 sec = 120 ft/1 sec

For every second, the skydiver drops 120 ft.

120ft/sec.

~

6 0
3 years ago
A blue print for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the bluep
solniwko [45]
3 inches long and 5.5 inches wide.....1 inch = 10 ft

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8 0
2 years ago
Read 2 more answers
The environment club is having a trash pickup day. There are 130 people signed up to help. For the trash pickup day they will wo
WINSTONCH [101]

Answer: 33 groups

Step-by-step explanation:

Number of people that signed for help = 130 people

Number of people that can join a group = 4.

Number of groups that will be formed will be:

= Number of people that signed for help / Number of people that can join a group

= 130/4

= 32.5

= 33 groups

Since there'll be a remainder of 2 people, they will form a new group making 33 groups.

8 0
3 years ago
A circle of center (a, o) passes through the point (o, -a) find it equation​
Savatey [412]

Answer:

  (x -a)^2 + y^2 = 2a^2

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

Here r^2 is the square of the distance between the center and the point on the circle. That can be found using the distance formula:

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Filling in the above formula with (h, k) = (a, 0) and r^2 = 2a^2, we find the equation to be ...

  (x -a)^2 +y^2 = 2a^2

6 0
3 years ago
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