Answer:
DE=2x you kinda put the answer
Step-by-step explanation:
Answer:
A: (4, -2)
B: (-3, -3)
C: (-2, 5)
D: (-3, -3)
E: (1, -4)
F: (0, 3)
6. Option B
Step-by-step explanation:
Answer:
(-27,-3) (0,0) (1,1)
Step-by-step explanation:
Because I got it right xD
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
Can do.
Arc length = radius * theta.
S=r*theta
Convert 73° to radians.
(73°)*(pi/180)
73°=1.274rad
S=(6.48in.)(1.274rad) = 8.255 in = final answer
