The transformation of <span>f(x)=15tanx would be achieved by dilating y</span>=tanx graph 15 times. This transformation will cause y'=15 y. This will increase the value of dilation become 15 times of the original
The transformation of g(x)=15tanx would be achieved by shifting y=tanx graph 15 right. This transformation will cause x'=x+15. This will change the value from tan x into tan(x+15)
Answer:
3,080 in³
Step-by-step explanation:
To find the volume you use the formula
Length*Width*Height= Volume
So,
14*11*20 = 3080
and you unit will be cubed because volume is cubed!
Answer:
41000 meters
Step-by-step explanation:
multiply the length value by 1000
There are 7 meters in 279 inches.
- There are 2.54 centimeters in 1 inch.
- There are 100 centimeters in 1 meter.
- The number of inches is given to be 279.
- Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
- First of all, we need to convert inches to centimeters.
- 1 inch equals 2.54 centimeters.
- 279 inches equals 2.54*279 centimeters.
- 279 inches equals 708.66 centimeters.
- Now, we need to convert these centimeters into meters.
- Meters in 100 centimeters = 1
- Meters in 1 centimeters = 1/100
- Meters in 708.66 centimeters = (1/100)*708.66
- Meters in 708.66 centimeters = 7.0866
- Thus, there are approximately 7 meters in 279 inches.
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Answer:

Step-by-step explanation:
This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

Integration on both sides gives

where
is a constant of integration.
The steps for solving the integral on the right hand side are presented below.

Therefore,

Multiply both sides by 

By taking exponents, we obtain

Isolate
.

Since
when
, we obtain an initial condition
.
We can use it to find the numeric value of the constant
.
Substituting
for
and
in the equation gives

Therefore, the solution of the given differential equation is
