Answer:
a) y = (x+2)/3
b) 5
Step-by-step explanation:
f^-1(x) means "f inverse of x". To find the inverse, we simply:
a ) f(x) = 3x -2
y = 3x - 2 --> because f(x) is the same thing as y
x = 3y - 2 --> to find the inverse, we simply just switch x and y
x + 2 = 3y
y = (x+2)/3
b) f^-1(13)
f^-1(13) = [((13) + 2)/3]
f^-1(13) = (15)/3
f^-1(13) = 5
Answer:
Step-by-step explanation:
What is the area of the triangular base? 8 square feet
What is the length of edge DF? 4 feet
Answer:
Problem 20)
Problem 21)
A)
The velocity function is:
The acceleration function is:
B)
Step-by-step explanation:
Problem 20)
We want to differentiate the equation:
We can take the natural log of both sides. This yields:
Since ln(aᵇ) = bln(a):
Take the derivative of both sides with respect to <em>x: </em>
<em /><em />
Implicitly differentiate the left and use the product rule on the right. Therefore:
Simplify:
Simplify and multiply both sides by <em>y: </em>
<em /><em />
Since <em>y</em> = (cos x)ˣ:
Problem 21)
We are given the position function of a particle:
A)
Recall that the velocity function is the derivative of the position function. Hence:
Differentiate:
The acceleration function is the derivative of the velocity function. Hence:
Differentiate:
B)
The position at <em>t</em> = 0 will be:
The velocity at <em>t</em> = 0 will be:
And the acceleration at <em>t</em> = 0 will be:
Answer:
1/2
Step-by-step explanation:
Tn = 6(1/6)^n-1
the 6 is the first number...the common ratio is 1/6....that means to find the next number in the sequence, u multiply by 1/6
starts with 6...
6 * 1/6 = 1
1 * 1/6 = 1/6
1/6 * 1/6 = 1/36
1/36 * 1/6 = 1/216
1/216 * 1/6 = 1/1296
1/1296 * 1/6 = 1/7776
so ur sequence is : 6,1,1/6,1/36,1/216,1/1296,1/7776........