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3 years ago

82. Close shave Which of two brands (X or Y) of electric

1 answer:

7 0

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Find the limit, if it exists (picture below)

valentinak56 [21]

Answer:

c. $\frac{1}{2 \sqrt{7} }$

Step-by-step explanation:

When plugging in zero into the given equation:

$\lim_{x \rightarrow 0} \frac{\sqrt{x + 7} - \sqrt{7} }{x} = \frac{0}{0}$

Answer is in indeterminate form = use L'Hospital's Rule:

(Derivative of the top / Derivative of the bottom)

$\lim_{x \rightarrow 0} \frac{ \frac{1}{2} (x + 7)^{ \frac{-1}{2}} - 0 }{1}$

Rearranged equation:

$\lim_{x \rightarrow 0} \frac{1}{2 \sqrt{x + 7} }$

Plug zero back into equation:

$\lim_{x \rightarrow 0} \frac{1}{2 \sqrt{x + 7} } = \frac{1}{2 \sqrt{0 + 7} } = \frac{1}{2 \sqrt{7} }$

Answer:

$\lim_{x \rightarrow 0} \frac{\sqrt{x + 7} - \sqrt{7} }{x} = \frac{1}{2 \sqrt{7} }$

5 0

3 years ago

Find the a26 arithmetic sequence: -15,-35,-55,-75 -515 460 -490

Vlad [161]

Step-by-step explanation:

<h3>QUESTION:-</h3>

Find 26th term of the A.P --15,-35,-55,-75...

<h3>Solution:-</h3>

First term=a=-15

Common Difference=d=-20

We know that

$\boxed{\sf a_n=a+(n-1)d}$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(26-1)(-20)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+25(-20)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(-500)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15-500$

$\\ \:\:\:\:\sf {:}\dashrightarrow {\boxed{\bf a_{26}=-515}}$

6 0

3 years ago

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

frozen [14]

Answer:

54 units squared

Step-by-step explanation:

hope this helped!

3 0

3 years ago

Write T times B times 3 as an expression

Triss [41]

Answer:

$3 (t * b)$

Step-by-step explanation:

Txbx3 expand-

3 (t * b)

*= times btw

4 0

3 years ago

An airplane was cruising at 23,000 feet altitude. Due to turbulence it dropped 4,300 feet.Once the air currents leveled off he w

vladimir1956 [14]

Answer:

-700 feet, aka 700 feet below/away from the original cruising altitude

4 0

3 years ago