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4 years ago

Use the formula to evaluate the infinite series. Round to the nearest hundreth if necessary.

Mathematics

1 answer:

zalisa [80]4 years ago

3 0

Answer:

Step-by-step explanation:

The first term is the value of the term when n=1. It is 3. The common ratio is is the value being raised to the power of (n-1). It is 1/4. Put these numbers into the formula and do the arithmetic

S = 3/(1 -1/4) = 3/(3/4) = 3·4/3 = 4

The sum is 4.

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Someone pls help me ASAP

Ratling [72]

Correct option is D)

Remainder theorem says that when p(x) is divided by (x−a) the remainder is given by p(a).

Using above result, we can say that

We divide p(x) by x−3 and it gives a remainder as −2.

Hence, option D is correct.

Hope it helps you :)

7 0

2 years ago

Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local mi

Andre45 [30]

Answer:

Critical points are 1 and -1

Maximum at x=1

Minimum at x=-1

Step-by-step explanation:

We are given that a function

$f(x)=3tan^{-1}(x)-\frac{3}{2} x+5$ on ( $-\infty,\infty$ )

We have to find the critical points of the function.

To find the critical point we will differentiate function w.r.t x and then substitute f'(x)=0

$f'(x)=\frac{3}{1+x^2}-\frac{3}{2}$

$\frac{d(tan^{-1}x)}{dx}=\frac{1}{1+x^2}$

$f'(x)=0$

$\frac{3}{1+x^2}-\frac{3}{2}=0$

$\frac{3}{1+x^2}=\frac{3}{2}$

$1+x^2=2$

$x^2=2-1=1$

$x=\pm1$

Therefore, the critical points of the given function are 1 and -1.

$f(0)=3-\frac{3}{2}=\frac{3}{2}$

$f'(1)=0$

$f'(2)=\frac{3}{5}-\frac{3}{2}=-\frac{9}{10}$

When we goes from 0 to 2 then the sign of derivative change from positive to negative .Therefore, function has local maximum at x=1.

$f(-2)=\frac{3}{5}-\frac{3}{2}=-\frac{9}{10}$

$f(-1)=0$

$f(0)=\frac{3}{2}$

When we goes form -2 to 0 then the sign of derivative change from negative to positive .Hence , function has local minimum at x=-1

Hence, critical points are local maximum and local minimum .

3 0

3 years ago

PLEASE HELP ASAPPPLPPPPPPPPP

tankabanditka [31]

Answer: For part A, the formula for the employee's pay is Pay = hourly rate times hours . P = r × h The equation is P = 13h To find how many hours are required to earn a given amount, fill in given values and solve for the missing variable . 7800 = 13h h= 7800/13 600 hours needed.

For part B, the formula for this employee's pay is Pay = Bonus + hourly rate times hours . P = b + rh

330 = 90 + r(24) 330 - 90 = 24r . 240 = 24r 240/24 = r . r = 10

The employee's pay rate is $10 per hour.

8 0

3 years ago

Bobby just turned 56 and has retirement savings in an IRA. How many years will he have to wait to be able to withdraw money with

Dovator [93]

The minimum age to withdraw from an IRA without penalty is 59 1/2. Subtract Bobby's age from this required age.

59 1/2 - 56 = 3 1/2

Bobby will have to wait 3 and a half years to withdraw without incurring penalties.

7 0

3 years ago

Read 2 more answers

PLEASE HELP THIS IS URGENT>>>>NO LINKS!!

ollegr [7]

Answer:

i believe that the answer is c

3 0

3 years ago