<img src="https://tex.z-dn.net/?f=%5Csum%20_%7Bn%3D0%7D%5E%7B%5Cinfty%20%5C%3A%7D%5Cfrac%7B%5Cleft%28-1%5Cright%29%5En%5Carctan%

All categories

3 years ago

20%5Cleft%28n%5Cright%29%7D%7Bn%5E2%7D" id="TexFormula1" title="\sum _{n=0}^{\infty \:}\frac{\left(-1\right)^n\arctan \left(n\right)}{n^2}" alt="\sum _{n=0}^{\infty \:}\frac{\left(-1\right)^n\arctan \left(n\right)}{n^2}" align="absmiddle" class="latex-formula"> Please Help.

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

8 0

-1/00 should be the answer

You might be interested in

Which value of x makes the equation -5x = -35 true?

WITCHER [35]

X=7 cause -5(7) = -35

4 0

2 years ago

Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the

Rama09 [41]

Question:

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s 2s 3s 4s

Answer:

It takes 2 seconds for object to hit the ground

Solution:

The given equation is:

$h(t) = -16t^2 + v_0t+h_0$

Initial velocity = 27 feet/sec

$h_0 = 10\ feet$

Therefore,

$h(t) = -16t^2 +27t+10$

At the point the object hits the ground, h(t) = 0

$-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0$

Solve by quadratic formula,

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125$

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0

3 years ago

Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts

k0ka [10]

The new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth.

<h3>What is an exponential equation?</h3>

The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}.

Here, he new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth while Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0

2 years ago

The product of 14 and the sum of 30 and an unknown number is equal to-196

Leto [7]

14 + 30 + 152 =196 14+30=44 44-196=152

4 0

3 years ago

Two hikers started at the same location. One

Sidana [21]