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
grandymaker [24]
2 years ago
6

Given () = 2, = 1, and ∆ = 0.6:

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
3 0

Answer:

a)

\triangle y = 1.56

b) Dy=1.2

c) See attachment

Step-by-step explanation:

a)Let

\triangle x

be a small change in x, then the corresponding change in y is

\triangle y= f(x  +  \triangle x) - f(x)

We have

f(x) =  {x}^{2}

This implies that:

\triangle y= (x  +  \triangle x)^{2}  -  {x}^{2}

We substitute

x = 1 \: and \:  \:  \triangle x = 0.6

This gives

\triangle y= (1 + 0.6)^{2}  -  {1}^{2}  \\ \triangle y =  {1.6}^{2}  - 1 = 1.56

b) Let

y = f(x)

\frac{dy}{dx}  = f'(x)

This implies that:

dy = f'(x)dx

with dx=0.6 , and x=1,

dy = 2x dx

dy = 2(1)(0.6) = 1.2

You might be interested in
What is the equations of each of the lines a,b,c,d,e,f
sesenic [268]
A. (5,7)
b. (5,5)
c. (5,3)
d. (-2,5)
e. (-4,5)
f. (-6,5)
4 0
3 years ago
What x value solves the equation? 3x – 5 = 1 x =
USPshnik [31]

Answer:

x = 2

Step-by-step explanation:

3x - 5 = 1

Adding 5 to both sides gives us:

3x - 5 + 5 = 1 + 5

3x = 6

Dividing the equation by 3 gives us:

3x / 3 = 6 / 3

x = 2

8 0
3 years ago
Read 2 more answers
The courtyard behind jennies house is shaped like a trapaziod. The base mesures 8 meters and 15 meters.The height of the trapazo
77julia77 [94]
Formula for trapezoid area is A=b1+b2 x heightx 1/2 so your answer would be 161m squared
7 0
3 years ago
-7 (-6) + 17 help plz
Elden [556K]

Answer: 59

Step-by-step explanation:

-7 (-6) + 17  (multiply -7 and -6)  

= 42+17      (simplify)

=59

3 0
2 years ago
What would the answer to the equation 3+6x=11-4y be
klemol [59]
         6x + 3 = -4y + 11
               - 3            - 3
               6x = -4y + 8
       6x + 4y = -4y + 4y + 8
       6x + 4y = 8
6x - 6x + 4y = -6x + 8
               4y = -6x + 8
                4           4
                 y = -1¹/₂x + 2
6 0
3 years ago
Other questions:
  • an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time
    13·1 answer
  • Given the system of equations presented here: 3x + 5y = 29 x + 4y = 16 Which of the following actions creates an equivalent syst
    13·1 answer
  • New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. tomorrow it will be 23 millimeters tall, the next d
    5·1 answer
  • What value of c makes the equation -3c/4=24 true ?
    10·2 answers
  • Which of the following is a result of the construction of a median of a triangle?
    10·2 answers
  • Please help this is due tuesday
    7·1 answer
  • Can anybody help me please
    13·2 answers
  • I need help with this question....
    14·1 answer
  • Which expressions are equivalent to 5 ( -2k - 3 ) + 2k?
    10·1 answer
  • Help ill give u 25 pt <br><br> what is the last digit of these numbers if n is a natural number
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!