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Firdavs [7]
3 years ago
13

Determine the amplitude of the function y = 2 cos x from the graph shown below:

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0
4 is the answer I had the same question
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CALCULUS EXPERT WANTED
Vlad [161]

a. Use the mean value theorem. 16 falls between 12 and 20, so

v'(16)\approx\dfrac{v(20)-v(12)}{20-12}=\dfrac{240-200}8=5

(Don't forget your units - 5 m/min^2)

b. v(t) gives the Johanna's velocity at time t. The magnitude of her velocity, or speed, is |v(t)|. Integrating this would tell us the total distance she has traveled whilst jogging.

The Riemann sum approximates the integral as

\displaystyle\int_0^{40}|v(t)|\,\mathrm dt=12\cdot200+8\cdot240+4\cdot220+16\cdot150=7600

If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of |v(t)| is determined by the value of v(t) at each sample point, 200, 240, |-220| = 220, and 150.

c. Bob's velocity is given by B(t), so his acceleration is given by B'(t). We have

B'(t)=3t^2-12t

and at t=5 his acceleration is B'(5)=15 m/min^2.

d. Bob's average velocity over [0, 10] is given by the difference quotient,

\dfrac{B(10)-B(0)}{10-0}=\dfrac{700-300}{10}=40 m/min

6 0
3 years ago
someone pls help!!! Complete the proofs using the most appropriate method. Some may require CPCTC. I will give brainly
Softa [21]

Answer:

#9

I can't write out the whole proof here.

it bisects, so we know BCA is congruent to DCA

abc being congruent to adc is given

AC = AC because it is a singular side

AAS

then the lines are congruent by CPCTC

3 0
3 years ago
Please can someone help me. Work is due tomorrow . Show your work and good luck.:)
jolli1 [7]
One third. pam put two thirds into the bowl. so... cole put one third into the bowl. one third was put into the bowl by cole. Hope that helps = )
7 0
3 years ago
Read 2 more answers
Number 2 says<br> Write the given equation in exponential form.<br><br><br> Log8 1/512=-3
MA_775_DIABLO [31]

In exponential form it is given as, 8⁻³ = $\frac{1}{512}

<u>Step-by-step explanation:</u>

We have to write the given equation in the exponential form, that is in the form of base to the power value.

Given:

log₈ ($\frac{1}{512} ) = -3

Here the base is 8.

In the exponential form, it is written as,

base to the power 3 = 512

Here the reciprocal of 512 is given, so,

base to the power -3 =   $\frac{1}{512}

So the exponential form is given as, 8⁻³ = $\frac{1}{512}

7 0
3 years ago
Subtract 0.58 - 0.21. What is the place value of the 7 in the difference? ones tens tenths hundredths
hoa [83]

Answer:

hundredths place



8 0
3 years ago
Read 2 more answers
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