Answer:
◻DELS ~ ◻KARP is incorrect
Step-by-step explanation:
All of the similarity statements have corresponding letters in the same order except ...
◻DELS ~ ◻KARP . . . . (incorrect)
_____
The correct version would be ...
◻DELS ~ ◻KRAP
Answer:
1. 2+2 = 4
2. 2x +2 = y
3. Terms - 16ab, 5c, 8, 2l, 2w, h, w, l
Coefficients - 16, 5, 8, 2, 2
Constants - 8, h, w, l
4. 2
5. -7
Answer:
Velocity :D
Step-by-step explanation:
Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:
For angle θ:
- If x > 0 and y > 0: ;
- If x < 0: ;
- If x > 0 and y < 0: ;
Calculating:
a) (4,2,-4)
= 6
For θ, choose 1st option:
b) (0,8,15)
= 17
The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ =
c) (√2,1,1)
= 2
=
d) (−2√3,−2,3)
= 5
Since x < 0, use 2nd option:
Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:
Angle θ is the same as spherical coordinate;
z = z
Calculating:
a) (4,2,-4)
=
z = -4
b) (0, 8, 15)
= 8
z = 15
c) (√2,1,1)
=
z = 1
d) (−2√3,−2,3)
= 4
z = 3
Answer:
The answer is 4/9 if the problem is:
.
Step-by-step explanation:
I think this says:
.
Please correct me if I'm wrong about the problem.
Here are some useful limits we might use:
So for our limit... I'm going to multiply top and bottom by the conjugate of the bottom; that is I'm going to multiply top and bottom by :
When you multiply conjugates you only have to do first and last of FOIL:
By the Pythagorean Identities, the denominator is equal to :
I'm going to divide top and bottom by in hopes to use the useful limits I mentioned:
Let's tweak our useful limits I mentioned so it is more clear what I'm going to do in the following steps:
The bottom goes to 1. The limit will go to whatever the top equals if the top limit exists.
So let's look at the top in hopes it goes to a number:
We are going to multiple the first factor by the conjugate of the top; that is we are multiply top and bottom by :
Recall the thing I said about multiplying conjugates:
We are going to apply the Pythagorean Identities here:
Ok this looks good, we are going to apply the useful limits I mentioned along with substitution to find the remaining limits:
The limit is 4/9.