Do you have answer choices or are they just fill in?
Answer:
1.
2. The values of t are: -3, -1
Step-by-step explanation:
Given
Required
Solve for the unknown
Solving
Take LCM
Expand the denominator
Both denominators are equal; So, they can cancel out
Expand the expression on the right hand side
Collect and Group Like Terms
By Direct comparison of the left hand side with the right hand side
Divide both sides by x in
Make A the subject of formula
Substitute 1 - B for A in
Subtract 1 from both sides
Divide both sides by -3
Substitute -2 for B in
Hence;
Solving
Because we're dealing with an absolute function; the possible expressions that can be derived from the above expression are;
and
Solving
Make t the subject of formula
Multiply both sides by -1
Solving
Make t the subject of formula
Divide both sides by -3
<em>Hence, the values of t are: -3, -1</em>
Answer: Hope this helps you! (I cant fill in the blank since can't see the choices.)
-4d = 20
d = -5
Step-by-step explanation:
-4d - 18 = 2
+18 +18
-4d = 20
/-4 /-4
d = -5
Hello i can help i am good
Step-by-step explanation:
x² + (y − 1)² = 9
This is a circle with center (0, 1) and radius 3. We can parameterize it using sine and cosine.
Use the starting point to determine which should be sine and which should be cosine.
Use the direction to determine the signs.
Use the number of revolutions and the interval to determine coefficient of t.
(A) Once around clockwise, starting at (3, 1). 0 ≤ t ≤ 2π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 1 revolution (2π radians). Therefore:
x = 3 cos t
y = 1 − 3 sin t
(B) Two times around counterclockwise, starting at (3, 1). 0 ≤ t ≤ 4π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 2 revolutions (4π radians). Therefore:
x = 3 cos t
y = 1 + 3 sin t
(C) Halfway around counterclockwise, starting at (0, 4). 0 ≤ t ≤ π.
The particle starts at (0, 4), which is π/2 radians on a unit circle. It makes 1/2 revolution (π radians). Therefore:
x = -3 sin t
y = 1 + 3 cos t