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

Solve for y: 9y = 36 A) y=4 B)y=12 C)y=18 D) y=9

igor_vitrenko [27]

Answer:

y=4

Step-by-step explanation:

9y=36

first divide both sides by 9 (9y/9) and (36/9)

y=4

Now test that it is correct by replacing y with 4

9(4)=36

Indeed!

4 0

2 years ago

Read 2 more answers

What property justifies that 6x+9/3 =2x + 3? (see the pic of how the fraction is)

spayn [35]

Answer:

C. Distributive property

Step-by-step explanation:

Distributive property says that

$a\cdot (b+c)=a\cdot b+a\cdot c$

Consider left part of the expression

$\dfrac{6x+9}{3}=\dfrac{1}{3}\cdot (6x+9)$

By distibutive property,

$\dfrac{1}{3}\cdot (6x+9)\\ \\=\dfrac{1}{3}\cdot 6x+\dfrac{1}{3}\cdot 9\\ \\=2x+3$

3 0

2 years ago

If ΔABC is reflected across the y-axis, what are the resulting coordinates for points A', B', and C'

Sever21 [200]

Answer:

Step-by-step explanation:

Reflection across the y axis changes the x value.

Reflection across the x axis changes the y value.

This is counterintuitive, but it is correct.

(-1,6)

(-2,1)

(-5,2)

Do you see what happened. All the values for x become - values because you are moving an equal distance in the -x direction

4 0

3 years ago

Find the Surface Area of the following figure. a. 64 b . 32

vova2212 [387]

Answer:

Step-by-step explanation:

Surface area=2(wl+hl+hw)

w=4, h=4, l=2

2(4(2)+4(2)+(4)(4))

2(8+8+16)

2(16+16)

2(32)

7 0

2 years ago

Read 2 more answers

In Jacks class, 75% of the students are girls. there are 18 girls in the class. what is the total number if students in the clas

Andre45 [30]

18 = .75x
/.75 /.75 (divide both sides by .75 to isolate x)

24 = x

24 total students

Hope this helps!

6 0

3 years ago

Read 2 more answers