All categories

3 years ago

50 POINTS!!! PLEASE SOLVE WITH STEPS. THANK YOU!

Mathematics

1 answer:

aivan3 [116]3 years ago

8 0

Step-by-step explanation:

G(x) = (16x − 7) cos³(4x) − 9 sin⁻¹(x)

A) Use product rule, power rule, and chain rule to take the derivative.

G'(x) = (16x − 7) (3 cos²(4x) (-4 sin(4x))) + 16 cos³(4x) − 9 / √(1 − x²)

G'(x) = (-192x + 84) cos²(4x) sin(4x) + 16 cos³(4x) − 9 / √(1 − x²)

Evaluate at x = 0.

G'(0) = (0 + 84) cos²(0) sin(0) + 16 cos³(0) − 9 / √(1 − 0)

G'(0) = 16 − 9

G'(0) = 7

B) Use point-slope form of a line to write the equation.

y − (-7) = 7 (x − 0)

y + 7 = 7x

y = 7x − 7

You might be interested in

Can someone please help

leonid [27]

Answers:

Lateral Area = No lateral area (choice D)
Surface Area = 25.97 square inches (choice E)
Volume = 12.44 cubic inches (choice A)

============================================

Explanation:

Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.

-----------------------

The radius is 1 & 7/16

Let's convert this to decimal form

1 & 7/16 = 1 + (7/16)

1 & 7/16 = 1 + 0.4375

1 & 7/16 = 1.4375

The radius is r = 1.4375 inches.

-----------------------

SA = Surface area the sphere

SA = 4*pi*r^2

SA = 4*pi*(1.4375)^2

SA = 25.9672267773281

SA = 25.97 square inches (choice E)

-----------------------

V = Volume of the sphere

V = (4/3)*pi*r^3

V = (4/3)*pi*(1.4375)^3

V = 12.4426294974698

V = 12.44 cubic inches (choice A)

8 0

3 years ago

A farmer has sheep and cattle in the ratio 8:3. How many sheep has the farmer if he has 180 cattle?

ruslelena [56]

There are 480 Sheep.

3 0

2 years ago

Read 2 more answers

HELP!!! Anyone know how to solve I know the answer is (-3) but I don’t know how to get there. Thanks!!

Dima020 [189]

Answer: v = -3

=========================================

Work Shown:

$5 = \sqrt{-2-6v}+1\\\\5-1 = \sqrt{-2-6v}\\\\4 = \sqrt{-2-6v}\\\\4^2 = \left(\sqrt{-2-6v}\right)^2 \ \text{ .... square both sides}\\\\16 = -2-6v\\\\16+2 = -6v\\\\18 = -6v\\\\-6v = 18\\\\v = 18 \div (-6)\\\\v = -3$

As you can see, we don't square both sides until the square root portion is fully isolated or on its own side. So it happens after we subtract 1 from both sides.

Technically, you are able to square both sides without first isolating the square root. But that would mean you'd have to use the FOIL rule and things would get a bit messier than they have to be. Not to mention that the square root term wouldn't fully go away (so you'd have to square again later down the line).

------------------

Checking the answer:

Replace every copy of v with -3. Simplify both sides. We should end up with the same number on each side

$5 = \sqrt{-2-6v}+1\\\\5 = \sqrt{-2-6(-3)}+1\\\\5 = \sqrt{-2+18}+1\\\\5 = \sqrt{16}+1\\\\5 = 4+1\\\\5 = 5\\\\$

The answer is confirmed.

4 0

2 years ago

G(t)=t³+5t²; Find g(-1)

erik [133]

Answer:

I need points sorry bbh

Step-by-step explanation:

6 0

2 years ago

35 degrees - 45 degrees

love history [14]

Answer:

-10 degrees

Step-by-step explanation:

5 0

3 years ago