Differentiate y = tan²x from first principle​

Answer:

the function has vertical asymptotes when x = 0 and x = 4

Step-by-step explanation:

Answer:

28/21

Step-by-step explanation:

28/21 is the equivalent to 4/3.

We know this is the fraction we are looking for because 28 + 21 = 49

Hope that helps!

Answer:

1. 220 minutes

2. $45.6

Step-by-step explanation:

Answer:

I guess it is 9 cm²

Step-by-step explanation:

Hope it helps.....

You have something resembling a Riemann sum. Multiply through the summand by 1/n², then you can write

[tex]\displaystyle \lim_{n\to\infty} \frac1n \sum_{r=0}^{2n-1} \frac{1}{1+4\left(\frac rn\right)^2} = \int_0^2 \frac{dx}{1+4x^2} = \boxed{\frac12 \tan^{-1}(4)}[/tex]

Answer:

3cm

Step-by-step explanation:

the radius is half the diameter

If the diameter = 6, the radius must = 3.

Hope this helps!

- profparis

Answer:

  (x, y) = (3, 8)

Step-by-step explanation:

The graph for y is a translation upward 4 units of the graph of f(x).

__

A point on the graph of f(x) is given as ...

  (x, f(x)) = (3, f(3)) = (3, 4)

Then a point on the graph of y will be ...

  (x, y) = (x, f(x) +4)) = (3, f(3)+4) = (3, 4 +4)

  (x, y) = (3, 8)

Question 3

Let the number of times an odd number was chosen be x. Then, the number of times an even number was chosen is x+4.

[tex]x+x+4=50\\\\2x+4=50\\\\2x=46\\\\x=23[/tex]

So, the answer is 23 times.

Question 4

If 8 ordered pizza, 4 did not order pizza.

[tex]\frac{4}{12}=\frac{1}{3}[/tex]

So, the answer is 1 out of 3.

Answer:

what are the objectives of census class 7

[tex]\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2[/tex]

Answer:

B

Step-by-step explanation:

Group like them

such that the coefficient stands alone

by subtracting both sides by 9.5

Answer:

The expression is division.

Step-by-step explanation:

2/5 ÷3/4=0.075

Answer:

[tex]\frac{2}{5} \times\frac{4}{3}[/tex]

Step-by-step explanation:
To find the answer we use KCF (Keep, Change, Flip).

[tex]\frac{2}{5} \div\frac{3}{4}[/tex]
[tex]\frac{2}{5} =\frac{2}{5}[/tex]
[tex]\div=\times[/tex]
[tex]\frac{3}{4} =\frac{4}{3}[/tex]
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]

Which means the expression used to find the answer would be "2/5 × 4/3."

Hope this helps.

Here we would be using distance formula to calculate the distance between those two points.

Points are,

★ Distance Formula :

We have :

Substituting the values :

Centroid of a triangle :-

Midpoint of two points:-

The expenses for the duration of the four years that Kari will use in the university is $68600.

From the complete information, the expenses for the four years stay in the university will be calculated thus:

Tution = $8500

Room = $6700

Books = $1250

Miscellaneous expense = $700

Total = $17150

The expenses for the four years will be:

= $17150 × 4

= $68600

Learn more about expenses on:

https://brainly.com/question/14697297

Answer:

D. marginal credit is right one

Answer:

1265 i think

Step-by-step explanation:

add 11 15 times

Answer:165

Step-by-step explanation:

Answer:

Since we want a positive number, x = 24.  y = 192/x = 8

Step-by-step explanation:

Let x and y be the two positive numbers.

-  Their product is 192: x*y = 192

-  the sum of the first plus 3 times the second is a minimum:  x + 3y

From the first equation, y = 192/x.  Substitute that into the second equation:

x + 3y = x + 3(192/x) = x + 576/x

Now take the first derivative, set it to zero, and solve for x:

d(x + 576/x)/dx = 1 - 576/x2

0 = 1 - 576/x2

0 = x2 - 576                         [Multiplied both sides by x2]

576 = x2

√576 = √x2

±24 = x

Since we want a positive number, x = 24.  y = 192/x = 8

As a check, the factors of 192 are 192*1, 96*2, 48*4, 24*8, 16*12

192 + 3*1 = 195

96 + 3*2 = 102

48 + 3*4 = 60

24 + 3*8 = 48

16 + 3*12 = 52

24 + 3*8 is indeed the minimum

Answer:

1,079 more pounds

Step-by-step explanation:

because if you do 83x13 you will get 1,079

Answer:

Alright, so, the ratio is 2:5

In total, there are 7

So, 56/7=8

8x2=16

8x5=40

So after moving 2 students,

14 on the van, 42 on the bus

(you can use the true/false now)

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

Going to the museum:

Total: 56 students

van:bus = 2:5

2x + 5x = 56

7x = 56

x = 8

2x = 16

5x = 40

16 students go by van

40 students go by bus

40 - 16 = 24

Going back to school:

14 students go by van

42 students go by bus

van:bus = 14/42 = 1:3

42 - 14 = 28

Questions:

1. False

2. True

3. True

4. False

[tex]sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \qquad cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1-cos(30^o)}{2}}\implies \sqrt{\cfrac{1-\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2-\sqrt{3}}{2}~~}{2}}[/tex]

[tex]\sqrt{\cfrac{2-\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2-\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2-\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill\\\\ cos\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1+cos(30^o)}{2}}\implies \sqrt{\cfrac{1+\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2+\sqrt{3}}{2}~~}{2}} \\\\\\ \sqrt{\cfrac{2+\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2+\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2+\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{~~ sin\left( \frac{30^o}{2} \right)~~}{cos\left( \frac{30^o}{2} \right)}\implies \cfrac{~~\frac{\sqrt{2-\sqrt{3}}}{2} ~~}{\frac{\sqrt{2+\sqrt{3}}}{2}}\implies \cfrac{\sqrt{2-\sqrt{3}}}{2}\cdot \cfrac{2}{\sqrt{2+\sqrt{3}}} \\\\\\ \cfrac{\sqrt{2-\sqrt{3}}}{\sqrt{2+\sqrt{3}}}\implies \blacktriangleright \sqrt{\cfrac{2-\sqrt{3}}{2+\sqrt{3}}} \blacktriangleleft[/tex]

Answer:

1728 ft³

Step-by-step explanation:

Lower part:

volume = 19 ft × 12 ft × 6 ft = 1368 ft³

Upper part:

volume = 10 ft × 12 ft × 3 ft = 360 ft³

Total Volume = 1728 ft³

Answer:

[tex]y = -\frac{1}{3} x + 6[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].

1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].

[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]

2) Solve it. Simplify it if possible.

[tex]m = \frac{3 }{-9}[/tex]

Simplified: [tex]m = \frac{1 }{-3 }[/tex]

3) Plug the result into [tex]y = mx + b[/tex].

[tex]y = \frac{1}{-3} x + b[/tex]

4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].

[tex]6 = \frac{1}{-3}(0) + b[/tex]

[tex]6 = 0 + b[/tex]

[tex]6 - 0 = b[/tex]

[tex]6 = b[/tex]

5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].

[tex]y = \frac{1}{-3} x + 6[/tex]

The negative situated in the denominator can be genaralised to the fraction.

Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].

Step-by-step explanation:

I hope this helps, you can ask any question for clarification

Answer:

1. 20 km/hr (60km / 3h)

2. 70 m/hr (170m / 2h)

3. 6.5 hr (260cm / 40km)

4. 4.5 s (72cm / 16cm)

5. 184 km (46km * 4h)

Step-by-step explanation:

We'll use d = distance, t = time, s = speed.

Speed over time can be found by dividing distance by time

s = d / t

We can take this formula and manipulate it to find either distance or time if we know two of the values. Keeping in mind division and multiplication cancel each other.

If we wanted to find d for instance we can multiply both sides by t to get

s * t = d

For time we can divide both sides of the above formula by s to get

t = d / s

Answer:

1. 20 km/h

2. 70 m/h

3. 6.5 h

4. 4.5 s

5. 184 km

Step-by-step explanation:

For first two questions, you can use the following formula:

[tex]\displaystyle \large{s = \frac{d}{t}}[/tex]

I denote ‘s’ be speed, ‘d’ be distance and ‘t’ be time. Some books may use ‘v’ for speed instead of ‘s’ but I use ‘s’ variable instead so it makes the equation easier to memorize.

Therefore, speed = distance/time

( 1 ) The first question is given both distance be 60 km and time be 3 hours. Therefore:

[tex]\displaystyle \large{s=\frac{60}{3}}\\\displaystyle \large{s=20 \ \ \sf{km / h}}[/tex]

So for the first question, the speed is 20 km/h

( 2 ) The second is given both distance be 140 m and time be 2 hours. Therefore:

[tex]\displaystyle \large{s=\frac{140}{2}}\\\displaystyle \large{s=70 \ \ \sf{m / h}}[/tex]

Therefore, speed is 70 m/h

For the third and four questions, we will be finding time. From the speed formula:

[tex]\displaystyle \large{s=\frac{d}{t}}[/tex]

Multiply both sides by t.

[tex]\displaystyle \large{st=d}[/tex]

Divide both sides by s.

[tex]\displaystyle \large{t=\frac{d}{s}}[/tex]

Therefore, time = distance/speed

( 3 ) The question is given speed be 40 km/h and distance be 260 km. Therefore:

[tex]\displaystyle \large{t=\frac{260}{40}}\\\displaystyle \large{t=\frac{13}{2} \ \ \sf{h}}\\\displaystyle \large{t = 6\frac{1}{2} \ \ \sf{h}}\\\displaystyle \large{t= 6.5 \ \ \sf{h}}[/tex]

Therefore, time is 6.5 h

( 4 ) The question is given speed be 16 cm/s and distance be 72 cm. Therefore:

[tex]\displaystyle \large{t=\frac{72}{16}}\\\displaystyle \large{t=\frac{9}{2} \ \ \sf{s}}\\\displaystyle \large{t=4\frac{1}{2} \ \ \sf{s}}\\\displaystyle \large{t=4.5 \ \ \sf{s}}[/tex]

Therefore, time is 4.5 s

For the last question, we have to find distance. From the speed formula:

[tex]\displaystyle \large{s=\frac{d}{t}}[/tex]

Multiply both sides by t.

[tex]\displaystyle \large{st=d}\\\displaystyle \large{d=st}[/tex]

Therefore, distance = speed * time

( 5 ) The question is given time be 4 hours and speed be 46 km/h. Therefore:

[tex]\displaystyle \large{d=46 \cdot 4}\\\displaystyle \large{ d=184 \ \ \sf{km}}[/tex]

Therefore, distance is 184 km.

Answer:

find the common factor in the given algebraic expressions 4 (x-y) , 6(y-x)

Answer:

334 hope this helps

Step-by-step explanation:

8 × 6 = 48 -5 =43 ×8 =334

Hey there!

8 * (6 - 5)

= 8(6 - 5)

= 8(6) + 8(-5)

= 48 - 40

= 8

OR

8(6 - 5)

= 8(1)

= 8

OR EVEN

(8 * ?) - (8 * ?)

= (8 * 6) - (8 * 5)

= 48 - 40

= 8

Therefore, your answer should be:

(8 * 6) - (8 * 5)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

$1125

Step-by-step explanation:

Check the attachment.