Answer:
k = -8c.
Step-by-step explanation:
y^2 = kx
Find the slope of the tangent by differentiating:
y' 2y = k
y' = k / 2y = the slope of the tangent.
The given equation of the tangent is y = -2x + c so the slope = -2.
Therefore k/2y = -2 so k = -4y and y = -k/4
y^2 = kx so k^2/16 = kx giving x = k/16.
Substituting for x and y in y = -2x + c:
-k/4 = -2 k/16 + c
-k/4 = -k/8 + c
c = -k/4 + k/8 = -k/8.
So -k = 8c
k = -8c.
Answer:
From the origin, go left 2 then up 3
Step-by-step explanation:
negative x value means move left, positive y value means move up
Answer:diameter of circle A is
(2r - 10) centimeters while Answer:diameter of circle B is 2r
Step-by-step explanation:
Diameter = radius/2
Circle A has a radius that is 5 centimeters less than the radius of Circle B. It means that if the radius of circle B is 5 centimeters, then the radius of circle A would be (r - 5) centimeters. Also,
The diameter of circle B would be
2 × r = 2r centimeters
Therefore, the diameter of circle A would be expressed as
2(r - 5) = (2r - 10) centimeters
(a) Use u = -∇z(2, 5)/||∇f(2, 5)||
= -<-4x, -4y>/||<-4x, -4y>|| {at (2, 5)} <span>
= <8, 20>/√((-8)^2 + (-20)^2)
<span>= <2, 5>/√29
(b) Du f(2, 5) = ∇z(2, 5) · u </span><span>
= ∇z(2, 5) · -∇z(2, 5)/||∇f(2, 5)|| </span><span>
= -||∇z(2, 5)||^2 / ||∇f(2, 5)|| </span><span>
= -||∇z(2, 5)|| </span><span>
<span>= -4√29</span></span></span>
Surface Area = 2×(6×4) + 2×(4×2) + 2×(2×6)
= 48 + 16 +24 = 88 square inches
