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4 years ago

Derivative of sqrt x + (1/4) sin (2x)^2

Mathematics

1 answer:

Alexandra [31]4 years ago

3 0

D(√x + (1/4) sin (2x)^2)/dx = 1/(2√x) + (1/4) cos (2x)^2 * 8x = 1/(2√x) + 2x cos (2x)^2

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The total number of burgers sold from a restaurant from Monday to Sunday can be modeled by the function f(d)=200d^3 + 542d^2 + 1

DerKrebs [107]

Answer:

Average = 96

Step-by-step explanation:

Average = sum of terms/ number of terms

sum of terms = number of burgers sold

number of terms = number of visitors

d = number of days since Monday which is 7

burgers sold = 200d^3 + 542d^2 + 179d + 1605 substituting d with 7

burgers sold = 200(7)³ +542(7)² + 179(7) +1605

burgers sold =68600 + 26558 + 1253 + 1605

burgers sold =98016

number of visitors= 100d + 321

number of visitors= 100(7) + 321

number of visitors= 700+321

number of visitors= 1021

Average = 98016/1021

Average = 96

3 0

3 years ago

Find all of the points of the form (x, −x) which are 7 units from the origin.

Morgarella [4.7K]

Answer:

(-7, 0) and (7, 0)

Step-by-step explanation:

All the points that are 7 units from the origin are on the circle:

x² + y² = 7²

The maximum and minimum values of x obtained when y = 0:

x² = 7²
√x² = √7²
x = ± 7

min x = -7 and
max x = 7

The points are:

(-7, 0) and (7, 0)

3 0

3 years ago

Read 2 more answers

What is the best estimate for the product of 289 and 7

Katarina [22]

I would estimate it as (300 x 7) = 2100

Then I would subtract (11 x 7) + 77 from that to get the exact answer of 2023

~~~~~~~~~~
I didn't use a calculator or paper. The 'trick' is to notice that 289 = (300 - 11)

7 0

3 years ago

Can someone help me with this math homework please!

mamaluj [8]

Answer:

The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped

Step-by-step explanation:

The given table is presented as follows;

$\begin{array}{ccl}t&h(t)&Description\\0&20&Initial \ height\\0.5&18.8&Rock \ in \ downward \ motion\\1&15.1&\\1.5&9&\\2&0.4&The \ height \ just \ before \ the \ rock \ hits \ the \ ground \\2.5&-10.6&The \ calculated \ height \ after\ the \ rock \ hits \ the \ ground \\3&-24.1&Calculated \ height \ after\ the \ rock \ hits \ the \ ground\end{array}$

Therefore, the rock hits the ground between t = 2 seconds and t = 2.5 seconds after it is dropped.

4 0

3 years ago

Amy's banana bread recipe calls for 3/4 cup of brown sugar. She only has a 1/8 cup measure. Which equivalent fraction shows the

ki77a [65]

You convert 3/4 into 8ths and that would be 6/8. so you do 1/8+5/8=6/8 so 5/8 is your answers.

6 0

3 years ago

Read 2 more answers