1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zepler [3.9K]
2 years ago
8

Can anyone explain (step-by-step) how to work out this calculus problem?

Mathematics
1 answer:
olga_2 [115]2 years ago
5 0

Step-by-step explanation:

Use the difference quotient

\frac{f(x + h) - f(x)}{h}

Here it will become

\frac{2 (0.85) {}^{x + h}  - 2(0.85 {}^{x}) }{h}

For the first box, let x=-4, and h= 0.001

\frac{2(0.85) {}^{ - 4 + 0.001}  - 2(0.85) {}^{ - 4} }{0.001}

Using a calculator, you will get about

- 0.622

Next, let do this for 0.5

\frac{2(0.85) {}^{0.5 + 0.001} - 2(0.85) {}^{0.5}  }{0.001}

You will get about

- 0.3

Finally, do this for

1.25

\frac{2(0.85) {}^{1.25 + 0.001}  - 2(0.85) {}^{1.25} }{0.001}

You get about

- 0.265

Note : This is the definition of a derivative

You might be interested in
David ran on a straight track. Every time he ran 480 m, he took a break. After 2 breaks, he still had to run 120 m to complete t
umka21 [38]

Answer:

540m

Step-by-step explanation:

The distance of the track is is equal to the playground's distance.

-The total distance covered is obtained by summing 120 and the distance per break by the total number of breaks:

d=480\times 2+120\\\\=1080\ m

-The distance of the playground half the track's distance:

d_p=0.5d_t\\\\=0.5\times 1080\\\\=540\ m

Hence, the distance of the playground is 540m

4 0
3 years ago
Which equation represents the line that passes through the
andreev551 [17]

Answer:

y = 1/5x + 2 1/5

Step-by-step explanation:

first find the negative reciprocal slope of 5x + y = 30 because perpendicular lines have negative reciprocal slope:

=> y = -5x + 30, negative reciprocal of the slope -5 is 1/5

substitute the new slope 1/5 and the coordinate (9, 4) into the equation: y = mx + b  to solve for b

=> 4 = 1/5(9) + b

=> 4 = 9/5 + b

=> b = 2 1/5

plug in the slope 1/5 and b = 2 1/5 into the equation: y = mx + b

=> y = 1/5x + 2 1/5

3 0
3 years ago
What is -8 + -14<br> 6<br> 22<br> -6<br> -22
Nezavi [6.7K]

Answer:

56

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Multiply the following complex numbers:
professor190 [17]

Answer:

63+22i

Step-by-step explanation:

(8 - 3i)(6 + 5i)

FOIL

first: 8*6 = 48

outer: 8*5i = 40i

inner: -3i* 6 = -18i

last: -3i*5i = -15 i^2 = -15(-1) = 15

Add together

48+40i -18i +15

Combine like terms

63+22i

4 0
3 years ago
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample
nataly862011 [7]

The probability of the sample is 0.5 or 50%

<u>Explanation:</u>

Given:

Mean, μ = 20

Standard deviation, δ = 1.3

Probability of sample being less than 20.1 = ?

P (x < 20.1) = 20.1 - μ / δ √n

P (x < 20.1) = \frac{20.1 - 20}{1.3\sqrt{61} }

                  = 0.0098

P( x < 20.1) = P(z < 0.0098)

P (z < 0.0098) = 0.5

The value of P is found out using a z score table.

Therefore, probability of the sample is 0.5 or 50%

7 0
3 years ago
Other questions:
  • A salesperson receives a 3% commission on sales the salesperson receives 180$ in commission what is the amount of sales
    5·2 answers
  • I think the first answer is x &gt; 4, but I'm not sure, I need help with that. I don't know if there even is a second answer or
    9·1 answer
  • I need help with this ASAP
    8·2 answers
  • WHAT IF THE WEIGHT OF THE TARPON WAS 11 TIMES THE WEIGHT OF THE PERMIT FISH,AND THE TOTAL WEIGHT OF THE TWO FISH WAS 132 POUNDS?
    15·1 answer
  • HELP <br>Suppose A has a coordinate of 8 and AB = 3. What are the possible midpoints of AB?
    12·1 answer
  • What is the equation of this line is standard form (-4,-1) and (1/2,3)
    12·1 answer
  • 2 DAYS AND IM A 10th GRADER
    15·2 answers
  • A train ticket cost $14 .Don paid with $20 bill .How much money should he get back
    12·2 answers
  • Use the graph of f(x) to write an equation for the function represented by each graph
    5·1 answer
  • How do you right 4 fewer than the product of 7 and 6 in number Form?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!