The sum of a number and its additive inverse is equal to zero. The correct option among all the options that are given in the question is the second option or option "b". If we assume "x" to be a real number, then its additive inverse is "-x". On adding these two, we can see that the result comes to zero.
Answer:
f(x+2h)=−(f(x)+2hf′(x)+4h22f′′(x)+o(h3)==−f(x)−2hf′(x)−4h22f′′(x)−o(h3)
f(x−2h)=f(x)−2hf′(x)+4h22f′′(x)−o(h3)
8f(x+h)=8(f(x)+hf′(x)+h22f′′(x)+o(h3)=8f(x)+8hf′(x)+8h22f′′(x)+8o(h3)
−8f(x−h)=−8(f(x)−hf′(x)+h22f′′(x)−o(h3)=−8f(x)+8hf′(x)−8h22f′′(x)+8o(h3)
So
|f′(x)−112h[−f(x+2h)+8f(x+h)−8f(x−h)+f(x−2h)]|==|f′(x)−112h[−4hf′(x)−2o(h3)+16hf′(x)+16o(h3)]|==|f′(x)−f′(x)−14o(h3)12|=o(h3)?
2.
We just plug x+2h,x+h,x−h,x−2h to the approximation and get:
f′′(x)≈[−f(x+4h)−16f(x+3h)+16f(x+h)−130f(x)+64f(x+2h)+64f(x−h)+64f(x−2h)−64f(x−3h)]144h2
Step-by-step explanation:
Answer:
17.49286
Step-by-step explanation:
Photomath :)
Answer:
Step-by-step explanation:
The given absolute value function is
This is the base or the parent function.
The transformation will shift the parent function b units to the left and c units up.
From the question, b=4 units and c=2 units.
The new equation is
Answer:
Step-by-step explanation:
Corresponding parts of congruent triangles are equal.
VT = SR
8x- 17 = 15 {Add 17 to both sides}
8x = 15 + 17
8x = 32 {divide both sides by 8}
x = 32/8
x = 4
Corresponding parts of congruent triangles are equal.
∠V = ∠S = 60°
∠W = ∠U = 90°
∠T = ∠R = 2y + 20
In Δ VUT,
∠V + ∠U + ∠T = 180 {Angle sum property of triangle}
60 + 90 + 2y + 20 = 180
2y + 170 = 180
2y = 180- 170
2y = 10
y = 10/2
y = 5