√ (( x - 1) / x^5) = 1/√x^4 · √(1 - 1/x )= 1/x² · √( 1 - 1/x )
Substitution:
u = 1 - 1/x
d u = 1/x² dx
Substitution:
u = 1 - 1/x
d u = 1/x² dx
Consider the following vector-valued function:~h(t) =〈2 sin(3t),3 cos(3t),√5 sin(3t)〉0≤t≤2π3This defines a smooth parameterized
curve.(a) Find the unit tangent vector~T(t) for 0≤t≤2π3.(b) Find all of the values oftin the interval 0≤t≤2π3where~h(t) and~T(t) areorthogonal.(c) Show that the curve~h(t) lies on a sphere. What is the radius of the sphere?
1 answer:
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Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given the points
- (8, -4) and (-2, 5)
The slope between two points
As the point-slope form is
substituting the values m = -9/10 and (8, -4)
Writing the line equation in the slope-intercept form
where m is the slope and b is the y-intercept
so the equation in the slope-intercept form will be:
subtract 4 from both sides
Therefore, the equation in the slope-intercept form will be:
Answer:
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Explanation:
The reciprocal of x is 1/x where x is nonzero. Multiplying x with 1/x leads to 1. For example, the numbers 9 and 1/9 are multiplicative inverses of each other.
We'll stick 1 over the given square root expression. Then follow these steps to rationalize the denominator.
In short,