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disa [49]
2 years ago
14

Consider the following function. f(x) = (x + 5)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated

list.) x = −5 (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing (−5,[infinity]) decreasing (−[infinity],−5) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = DNE relative minimum (x, y) = −[infinity],[infinity]

Mathematics
1 answer:
Olin [163]2 years ago
3 0

Answer:

See explaination

Step-by-step explanation:

Please kindly check attachment for detailed and step by step solution of the given problem.

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A prize fund is setup with a single investment of £4000 to provide an annual prize of £150. The fund accrues interest at 5% p.A.
Verdich [7]

The invested amount, A=£4000

Rate of interest on this amount, r=5% per annum.

Total interest on the amount £4000 after 1 year

= 5\% \;\text{of} \;\£ 4000=0.05\times \£4000=\£200.

The total amount after 1 year, P=£4000+£200=£4200

Amount remains after an annual prize of £150=£4200-£150=£4050.

Note that after providing the annual prize the amount remains is £4050 which is more than the invested amount of £4000 as the prize money is less than the interest gained.

Now, for the 2nd year, the 5% interest is on the principal amount of £4050, which will have more interest as compared to the interest of 1st year.

Again, after prize distribution, the total amount remains for the principal amount of 3rd year will be more than the principal amount of 2nd year. This sequence repeated every year and the total amount will increase every year.

So, it will never end, the full prize money can be awarded for infinitely many years.

7 0
3 years ago
Find the equation of the line shown. y 4 3 2 1 Х -2 -3 4​
MakcuM [25]

Answer:

y = 1/2x + 0.5

or

y = 1/2x + 1/2

Step-by-step explanation:

y = mx + b

b is y-intercept:

when x = 0, y = 0.5 (when the line cross the vertical (y) axis of the graph)

the point is (0, 0.5) so b = 0.5

m is slope:

slope = rise / run

rise = 1

run = 2

for every 2 x values, y increase by 1

slope (m) = 1/2

8 0
2 years ago
Simplify x3 / x <br> A)x<br> B)1/x2<br> C)x2<br> D)1/x
anygoal [31]
The answer is x^2, which is C), because x^2 * x = x^3
6 0
2 years ago
PLEASE HURRY ITS URGENT!<br>What is distance between A &amp; B?<br>​
Juliette [100K]

Answer:

7.62

Step-by-step explanation:

use the Pythagorean theorem

3^2+7^2=58

the square root of 58 is about 7.62

6 0
2 years ago
Evaluate 7 + (-3x^2) For x = 0<br><br>A. -2<br>B. 0<br>C. 4<br>D. 7​
Goryan [66]

Answer:  D. 7

Step-by-step explanation:

The problem tells you that x = 0 so replace everything that is x in the equation with 0 so the problem becomes

7 + (-3(0)^2)

Now we just solve the problem normally.

solve the problem in the parenthesis first, we must multiply -3 times 0^2 is 0

so now our problem is 7 + 0 which is 7

8 0
3 years ago
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