Find dy dx of y equals the secant of the square root of x.

Answers

Answer 1
Answer:

\bf y=sec(√(x))\implies y=sec\left( x^{(1)/(2)} \right)\implies \cfrac{dy}{dx}=\stackrel{\textit{chain rule}}{sec\left( x^{(1)/(2)} \right)tan\left( x^{(1)/(2)} \right)\cdot \cfrac{1}{2}x^{-(1)/(2)}} \n\n\n \cfrac{dy}{dx}=sec\left( x^{(1)/(2)} \right)tan\left( x^{(1)/(2)} \right)\cdot \cfrac{1}{2x^{(1)/(2)}}\implies \cfrac{dy}{dx}=\cfrac{sec\left( √(x) \right)tan\left( √(x) \right)}{2√(x)}

Answer 2
Answer:

Final answer:

To find the derivative of y equals the secant of the square root of x, we can use the chain rule. The derivative is secant squared of the square root of x, multiplied by 1 over 2 times the square root of x.

Explanation:

To find  dy dx of  y equals the secant of the square root of x, we can use the chain rule. The derivative of secant is secant squared, and the derivative of the square root of x is 1 over 2 times the square root of x. So, using the chain rule, we have:

dy dx = sec^2(sqrt(x)) * (1/(2sqrt(x)))

Learn more about Derivatives here:

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The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.Please show work

Answers

Answer:

Part 1) The area is A=4,069.44\ in^(2)

Part 2) The circumference is C=226.08\ in

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

A=\pi r^(2)

we have

r=72/2=36\ in ------> the radius is half the diameter

\pi =3.14

substitute

A=(3.14)(36)^(2)

A=4,069.44\ in^(2)

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

C=\pi D

we have

D=72\ in

\pi =3.14

substitute

C=(3.14)(72)

C=226.08\ in

There are 3392 people a month how many people are there in Surat

Answers


Using the information given in the question, there's no way to
calculate the answer.  The only thing we can say for sure is that
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Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 centimeters and the width is 15 centimeters. What is the area of the park

Answers

Answer:

The area of the park is 108\ m^(2)

Step-by-step explanation:

we know that

The scale drawing is (5)/(3)(cm)/(m)

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

20/(5/3)=12\ m

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

15/(5/3)=9\ m

step 3

Find the area of the park

A=(12)(9)=108\ m^(2)

A sporting goods store charges $30 for 12 cans of tennis balls and $45 for two boxes of golf balls. A coach orders 100 cans of tennis balls and 5 boxes of golf balls. How much will the coach pay for the tennis and golf balls?

Answers

tennis ball
12 cans = $30
1 can = $ 30/12 = $2.5

golf balls
2 boxes = $45
1 box = $45 /2 = $ 22.5

100 cans of tennis balls + 5 boxes of golf boxes 
(100 * $ 2.5)  + ( 5 *  $ 22.5) 
$250 + $112.5
$362.5

True or False, the following 4 ordered pairs are solutions to the following equation:y = -2x + 11(-1,13), (0,11), (1,9), (2,7)

Answers

Answer:

I Think I will disagree the fact that it's true

Step-by-step explanation:

I think I’ll disagree with the fact that it’s true