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3 years ago

Can u help me plz thank u

Mathematics

1 answer:

Nitella [24]3 years ago

5 0

Answer:

A. Neither Sneha nor the credit card company owes money

Step-by-step explanation:

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Find the derivative of <img src="https://tex.z-dn.net/?f=tan%5E%7B-1%7D%20x" id="TexFormula1" title="tan^{-1} x" alt="tan^{-1} x

sladkih [1.3K]

$\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}$

$\frak {\huge{ \frac{1}{1 + {x}^{2} } }}$

Step-by-step explanation:

$\sf let \: f(x) = { \tan }^{ - 1} x \\ \\ \sf f(x + h) = { \tan}^{ - 1} (x + h)$

$\sf f'(x) = \frac{f(x+h) - f(x) }{h}$

$\sf \implies \lim_{ h \to 0 } \frac{ { \tan }^{ - 1}(x + h) - { \tan}^{ - 1}x }{h} \\ \\ \\ \sf \implies \lim_ {h \to 0} \frac{ { \tan}^{ - 1} \frac{x + h - x}{1 + (x + h)x} }{h}$

By using

$\sf { \tan}^{ - 1} x - { \tan}^{ - 1} y = \\ \sf { \tan}^{ - 1} \frac{x - y}{1 + xy} formula$

$\sf \implies \large \lim_{h \to0 } \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{h} \\ \\ \\ \sf \implies \large{\lim_{h \to0} } \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{ \frac{h}{1 + hx + {x}^{2} } \times (1 + hx + {x}^{2} )} \\ \\ \\ \sf \implies \large \lim_{h \to0} \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{ \frac{h}{1 + hx + {x}^{2} } } + \lim_{h \to0} \frac{1}{1 + hx + {x}^{2} }$

Now putting the value of h = 0

$\sf \large \implies 0 + \frac{1}{1 + 0 + {x}^{2} } \\ \\ \\ \purple{ \boxed { \implies \frac{1}{1 + {x}^{2} } }}$

6 0

2 years ago

What is the exact value of the expression the square root of 294. - the square root of 24. + the square root 54.? Simplify if po

dalvyx [7]

My solution to the problem is as follows:

sqrt(294) - sqrt(24) + sqrt(54)
= sqrt(49 * 6) - sqrt(4 * 6) + sqrt(9 * 6)
= sqrt(49)*sqrt(6) - sqrt(4)*sqrt(6) + sqrt(9)*sqrt(6)
= 7*sqrt(6) - 2*sqrt(6) + 3*sqrt(6)
= (7 - 2 + 3)*sqrt(6)
= 8*sqrt(6)
= sqrt(64)*sqrt(6)
= sqrt(384)

= 8*sqrt(6)

Therefore, the answer is letter B, 8 square root of 6

I hope my answer has come to your help. God bless and have a nice day ahead!

6 0

3 years ago

The circumference of a bicycle tire is

ra1l [238]

The answer is 4.41 because you have to divide them

5 0

4 years ago

Find perimeter for a trapezoid

Reil [10]

In this example, we are asked to find the perimeter of the trapezoid. The perimeter of a figure is the distance around the figure.

To find the perimeter of the trapezoid, all we have to do is add the lengths of the sides. In this case, we would add 3 + 5 + 3 + 9 = 20 cm.

Therefore, the perimeter of the trapezoid is 20 cm

8 0

3 years ago

In this activity, you will use multiple representations of relationships to identify key features and solve problems.

tia_tia [17]

The domain will be 0<x<6 and the range will be 0<y<72.

<h3>How to illustrate the information?</h3>

The information given implies that this would be a continuous relationship.

The process of elimination can be used to rule out the sets of numbers that are used in discrete relationships.

X is the amount of days that he was studying the plants.

The inequality is written like this for x: 0<x<6.

For the range, y is the plant food that was used which is 72 milliliters.

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7 0

2 years ago