Answer : curve r(t) = t i + (2t - t 2)k intersect the paraboloid z = x 2 + y 2
By the equation of r(t), x = t, y = 0, and z = 
.
Thus, z = 
on solving we get,
= 
Now, we can solve for t
= 0
So, 
= 0
2t ( t - 5/2) = 0
t = 0 , t = 5
plugging these values in t = 0 into r(t)
r(0) = <0 , 0 , 0>
r(5) = < 5, 0 , 25 >
Answer:
A
Step-by-step explanation:
If angle a is less then 90 then it’s acute
Answer:
x= -3/2
Step-by-step explanation:
You would multiply both sides by 6x+10 and then that would give you 5-5)6x+10) and you would divide both sides by 5. This would give you 1=6x+10, you would then try to isolate the 6x giving you -6x=10-1 or -6x=9 and you would see if the solutions are in the defined ranges so x=-5/3 is NOT in the defined range but x=-3/2 is.
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.
18 ÷ 12 = 1 r 6
12 ÷ 6 = 2 r 0 . . . . the GCF is 6
__
You can also factor the numbers and see what the common factors are.
18 = 2·3·3
12 = 2·2·3
The common factors are 2·3 = 6.
In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6
