Let the angle of elevation is x and the height of the rocket from the ground is y
tanx = y/15
by differentiating both sides with respect to T
sec²x·dx/dt = (dy/dt)/15
at y = 30 , the hypotenuse of the triangle = 15√5
sec²x=(15√5/15)²=5
5 dx/dt = 11/15
dx/dt = 11/75 rad/sec
Answer:
y=-5/2x+4
Step-by-step explanation:
5x+2y=8
2y=8-5x
2y=-5x+8
y=-5/2x+8/2
y=-5/2x+4
Answer:
-10 4/64, -.3125, 1/16, 10 51/80, 10 45/48
Step-by-step explanation:
negatives, the larger the number the smaller it is, opposite for positives. 10 45/48 is closer to 11 than 10 51/80
Answer:
If A ⊆ B, then A ⊂ B.
If A = B, then A ⊆ B.
If A = B, then A ⊂ B.
Step-by-step explanation:
In set theory '⊂' is the symbol of proper subset and '⊆' is the symbol of subset of a set.
In option (a),
If A ⊆ B
⇒ A ⊂ B or A = B
Thus, If A ⊆ B, then A ⊂ B.
Option a is true.
(b) If A ⊂ B
⇒ A is the subset of B
That is, all elements of A are also the element of B,
But we can not say A = B
Thus, option b is not true.
(c) If A = B
⇒ A ⊂ B and A ⊃ B or A ⊆ B and B ⊆ A ( Because every set is the subset of itself )
⇒ A ⊆ B.
Option c is true.
(d) If A = B,
⇒ A ⊂ B
Option d is true.
(e) If A ⊂ B,
Then we can not say that,
A = B or A ≠ B
Thus, option e is not correct.
