All categories

2 years ago

Find d^2y/dtheta^2 if y=sin^5

Mathematics

1 answer:

castortr0y [4]2 years ago

7 0

Answer:

20 sin³O. cos²O - 5sin⁵O

Step-by-step explanation:

y = sin⁵O

Using the Chain Rule

dy/dO = 5 sin⁴O cosO

Using the Product / Chain rules:

d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O

= 20 sin³O. cos²O - 5sin⁵O

You might be interested in

Find the value of x in the following parallelogram x =

iVinArrow [24]

Answer:

$x=60\degree$

Step-by-step explanation:

Consecutive angles of a parallelogram are are supplementay.

$\implies \: x + 2x = 180 \degree \\ \\ \implies \: 3x = 180 \degree \\ \\ \implies \: x = \frac{ 180 \degree }{3} \\ \\ \implies \: x =60 \degree$

5 0

2 years ago

Which kind of function best models the data in the table? Graph the data and write an equation to model the data. x y 0 –2 1 –3

jeyben [28]

Let

A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)

using a graph tool

see the attached figure N 1

case a) exponential

$y=3^{x} -2$

see the attached figure N 2

case b) quadratic

$y=x^{2} -2$

see the attached figure N 3

case c) linear

$y=-x-2$

see the attached figure N 4

case d) linear

$y=x-2$

see the attached figure N 5

therefore

the answer is

the case c) linear

$y=-x-2$

4 0

2 years ago

-8(1+8n)-8(6-4n)=-24

Naily [24]

-8(1 + 8n) - 8(6 - 4n) = -24

-8 - 64n - 48 + 32n = -24

-32n - 56 = -24

-32n = 32

n = -1

3 0

3 years ago

Solve absolute value of x-2=4

nika2105 [10]

Answer:

Step-by-step explanation:

2+4=6

you need to do the oppsite opporation and that the answer for example x-2=4 just add 2 and 4 and thats the answer that is aslo the same rule as divsion and multiplecation sorry for spelleng mistakes hope this helps!!!!!!

4 0

2 years ago

Read 2 more answers

Diane needs 165 pieces of candy to hand out to guests at a party she is hosting. Each bag of candy contains 20 pieces. She has 2

Debora [2.8K]

20x + 25 = 165

x represents the number of bags. You can solve the equation to make sure the answer is 7.

20x + 25 = 165

Subtract 25 from both sides.

20x = 140

Divide 20 off of both sides.

x = 7

5 0

3 years ago