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
geniusboy [140]
3 years ago
14

Find the linearization L(x) of the function at a. f(x) = x^4 + 2x^2, a = 1

Mathematics
1 answer:
gregori [183]3 years ago
8 0

The equation of the tangent line at x=1 can be written in point-slope form as

... L(x) = f'(1)(x -1) +f(1)

The derivative is ...

... f'(x) = 4x^3 +4x

so the slope of the tangent line is f'(1) = 4+4 = 8.

The value of the function at x=1 is

... f(1) = 1^4 +2·1^2 = 3

So, your linearization is ...

... L(x) = 8(x -1) +3

or

... L(x) = 8x -5

You might be interested in
Graph the solution set for the inequality z-4≤3
OleMash [197]

Answer:

  see below

Step-by-step explanation:

Add 4 to find the solution:

  z ≤ 7

The value 7 is included in the solution set, so there will be a solid dot at that point. Numbers less than 7 are also included in the solution set, so the number line will be shaded to the left of that solid dot.

6 0
3 years ago
PLZ HURRY!!!!!!!!!!!!!<br> Simplify. <br> −4x^2(5x^4−3x^2+x−2)
Simora [160]

\bold{Answer}

\boxed{\bold{-20x^6+12x^4-4x^3+8x^2}}

\bold{Explanation}

  • \bold{Simplify: \ -4x^2\left(5x^4-3x^2+x-2\right)}

\bold{------------------}

  • \bold{Distribute \ Parenthesis}

\bold{\left(-4x^2\right)\cdot \:5x^4+\left(-4x^2\right)\left(-3x^2\right)+\left(-4x^2\right)x+\left(-4x^2\right)\left(-2\right)}

  • \bold{Apply \ Addition \ / \ Subtraction \ Rules: \ +\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab}

\bold{-4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2}

  • \bold{Simplify \ -4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2: \ -20x^6+12x^4-4x^3+8x^2}

\bold{-20x^6+12x^4-4x^3+8x^2}

\boxed{\bold{Eclipsed}}

5 0
3 years ago
What is the answer to 4/5 + 5/12
alina1380 [7]

80

Answer:

Step-by-step explanation:

7 0
3 years ago
Three more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.
Goshia [24]

Answer:

Step-by-step explanation:

The number = x

Three more than the number = x + 3

twice the number = 2x

which means:

           

          2x + 3 < -13

          2x + 3 -3 < -13 -3                 (subtract 3 from both sides)

          2x < -16

          2x/2 < -16/2                       (divide 2 from both sides)

          x < -8

4 0
1 year ago
When converting a linear equation into Slope Intercept form, what is our main goal? Vour answer ​
Eddi Din [679]

Answer:

You have to make sure the y= is always on the left side and so it looks like ,y=mx+b. m=slope, x=independent variable and b = y intercept.

Step-by-step explanation:

Hope it helps :)

8 0
3 years ago
Other questions:
  • Suzanne bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples t
    11·1 answer
  • How many different ways can a director select 4 actors from a group of 20 actors?
    12·1 answer
  • Regular hexagon FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined f
    6·1 answer
  • Which points in the scatter plot are outliers?
    12·2 answers
  • Susan went to Target to look for a pair of shoes. She liked a pair of shoes that cost $25. She remember she has a 30% coupon and
    9·1 answer
  • Some angles are shown. Complete each of the 2 activities for this Task. Activity 1 of 2 The measure of angle NOP is 140°. Which
    13·1 answer
  • 6у – 6 = 4у + 16<br> A.y=2.2<br> B. y= -2.2<br> C. у= 11<br> D. у= 5
    6·1 answer
  • Pls helllppppppppi give brainliest
    10·1 answer
  • Write an equation of the line below.
    11·1 answer
  • Picasso's Phone Shop charges $65.54 for its activation fee plus $13.10 for every gigabyte, g, of data you use over your limit. T
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!