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3 years ago

8

Can someone please help

1 answer:

natka813 [3]3 years ago

3 0

Answer:

see image

Step-by-step explanation:

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Help<br> Please due soon I would really appreciate it

RoseWind [281]

Should be D. Let me know if you need more of an explanation.

7 0

3 years ago

Simplify the following completely, show all work. √-45

scoray [572]

Answer:

$3\sqrt{5}i$

Step-by-step explanation:

$\sqrt{-45}$

$\sqrt{-9*5}$

$\sqrt{-9}\sqrt{5}$

$3i\sqrt{5}$

$3\sqrt{5}i$

7 0

2 years ago

Consider the surface z = x 2+4y 2+1. Suppose you are walking on this surface directly above a curve C in the xy-plane, where the

Bess [88]

With $x(t)=\cos t$ and $y(t)=\sin t$ , we have

$z(t)=x(t)^2+4y(t)^2+1$

$z(t)=\cos^2t+4\sin^2t+1$

$z(t)=3\sin^2t+2$

Then $z(t)$ has critical points where

$\dfrac{\mathrm dz}{\mathrm dt}=6\sin t\cos t=3\sin2t=0$

$\implies\sin2t=0\implies2t=n\pi\implies t=\dfrac{n\pi}2$

where $n$ is any integer.

$z(t)$ is increasing wherever $\sin2t>0$ , which happens for

$\dfrac{2n\pi}2$

$\boxed{n\pi$

5 0

3 years ago

Please explain every step

pogonyaev

<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

$\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}$

<u>Identify the following's</u>:

First Term [a] = 60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r] = 1.2

Total Terms [n] = 44

===========================

$\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}$

===========================

Solving Steps:

<em /> $\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}$ <em />

<em />

<em /> $\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}$ <em />

<em />

<em /> $\rightarrow \sf 761679.5808$ <em />

<em />

$\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)$

8 0

2 years ago

Solve 4sin^2 x-3=0 find two values of sinx that satisfy this equation

Leviafan [203]

$4 sin^{2} x-3=0 \\ 4 sin^{2} x=3 \\ sin^{2} x= \frac{3}{4} \\ sinx= \pm \sqrt{ \frac{3}{4} } \\ sinx= \frac{ \sqrt{3} }{2} \ or \ sinx=- \frac{ \sqrt{3} }{2} \\ x= \frac{ \pi }{3} , \ \frac{2 \pi }{3} , \ \frac{4 \pi }{3} , \ \frac{5 \pi }{3}$

5 0

3 years ago