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olya-2409 [2.1K]
2 years ago
7

Which of the following methods can be used to find the derivative of y = arcsin x with respect to z ?

Mathematics
1 answer:
vfiekz [6]2 years ago
5 0

Answer:

B) Ill only

Step-by-step explanation:

This is because y = arcsin x can be re-written as sin y = x, We then differentiate sin y = x implicitly with respect to z to obtain

d(siny)/dz = dx/dz

(cosy)dy/dz = dx/dz

dy/dz = (1/cosy)dx/dz

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John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?
Gekata [30.6K]

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

8 0
3 years ago
Help................................................
bixtya [17]

Answer:

C. 16ft by 4ft

Step-by-step explanation:

8 0
3 years ago
The perimeter of a triangle is 34cm. What are the lengths of the sides if the first side is twice the length of the second side
dybincka [34]

Answer:

8sm, 16sm, 10sm

Step-by-step explanation:

the first side of the triangle: x

the other side of the triangle: 2x

the third side of the triangle: x+2

the perimeter of the triangle: x+2x+x+2=34

4x=32

x=8

2*8=16

8+2=10

4 0
2 years ago
Here’s a graph of a linear function. Write the equation that describes that function. (Zoom in if blurry)
Maru [420]

Answer: y = x/2 + 3

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

Looking at the graph,

y2 = 6

y1 = 4

x2 = 6

x1 = 2

Slope,m = (6 - 4)/(6 - 2) = 2/4 = 1/2

To determine the intercept, we would substitute x = 2, y = 4 and m= 1/2 into y = mx + c. It becomes

4 = 1/2 × 2 + c

4 = 1 + c

c = 4 - 1

c = 3

The equation becomes

y = x/2 + 3

5 0
3 years ago
What is the missing number
Anna35 [415]

Answer:

I got 235, which works in perfectly into the problem...

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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