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
marin [14]
3 years ago
9

Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mathematics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

Step-by-step explanation:

The equation of the curve is

Y = sin^{-1}(7x)

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

Y'=\frac{7}{\sqrt{1-49x^2} }

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  x = \sqrt{\frac{1}{7} }

Then slope would accordingly be

Y'=\frac{7}{\sqrt{1-49/49} }

= ∞

For, x = \sqrt{\frac{1}{7} }, Y = sin^{-1}(7/7)= \pi/2

Equation of tangent line, in the point slope form, would be Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

You might be interested in
|-5| – 45 ÷ 3 <br> Explain how to solve
Alinara [238K]
Order of operations.
Parentheses: there are none
Exponents: also none
Multiplication: also none
Division: yep. 45 / 3 = 15
Addition: none
Subtraction: Yes

The absolute value of -5 is 5. (Absolute values are always positive or 0)
5-15= -10
8 0
3 years ago
Find x (4,12), (x,18); slope=3
vodomira [7]

(y - yo) = m.(x - xo)

We have the points (4, 12) and (x, 18) with slope of 3.

(18 - 12) = 3.(x - 4)

6 = 3x - 12

3x = 6 + 12

3x = 18

x = 18/3

x = 6

8 0
3 years ago
Si tienes un rectángulo de área igual a x2 + 5x¿Cuál de las siguientes factorizaciones nos presenta el producto de la base por l
Softa [21]

Answer: factorizar x de x ^ 2 + 5x.

x (x + 5)

Step-by-step explanation:

7 0
2 years ago
Solve for x show all your work. 10x + 15 = 5x - 10​
sdas [7]

Answer:

x=-5

Step-by-step explanation:

10x + 15 = 5x-10

-5x            -5x

5x+15 = -10

    -15     -15

5x = -25

/5      /5

x = -5

7 0
3 years ago
Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure
garik1379 [7]

Suplementary is angles add up to 180 degrees

C=180-D

C=180-84

C=96 degrees

Hope this helped :)

3 0
2 years ago
Read 2 more answers
Other questions:
  • What coordinate for F would make triangle ABC and triangle DEF congruent? (The file of the image is attached!)
    5·2 answers
  • How do you solve this question ​
    6·1 answer
  • What is the surface area of the prism WILL MARK BRAINLEST WORTH 69 POINTS
    9·1 answer
  • If the area of a circle is 154m2 what is the circumference.
    9·1 answer
  • 3(x -2) = 3x - 23x + 7 = 7 + 3x4 - 5(x - 6) = 5 - 5x - 304x + (3 + 6x)= (4x + 3) + 6x6x - 5 + 7y = 7y - 6x + 5
    9·1 answer
  • Find m What is the m m
    14·2 answers
  • A teacher wants to see if a new unit on fractions is helping students learn. She has five randomly selected students take a pre-
    12·1 answer
  • Story time with dum&amp; bih bryanna.
    15·2 answers
  • Jason tossed a fair coin 3 times. What is the probability of getting a head and two tails in any order?
    13·1 answer
  • At school, the maximum number of students that can be in a classroom is 25. If there are 20 students signed up for the chemistry
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!