Answer:
Step-by-step explanation:
this seems like substitution
If so its the first part is 12x6
second part is 35 x 6
third part is 56 x 6
Answer: 100 miles
Step-by-step explanation:
300+3x=500+1x
subtract 1 from both sides
300+2x=500
subtract 300 from both sides
2x=200
divide 2
x=100
Answer:
A(8)-F5+6
Step-by-step explanation:
Answer:
A. = 20 in²
B. = 45 ft²
C. = 29.5 ft²
D. = 36 ft²
E. = 28 ft²
Step-by-step explanation:
A. Formula = A = (h_b b)/2 = base 10 ft height_b= 4ft = 20 ft²
B. We have a rectagnle and a triangle: Formula: A = lw
= A = 30 ft² and now the triangle with the same formula as above: A = 15 ft²
30 ft²+15 ft² = 45 ft²
C. we have 2 rectagnle and a triangle: First the small recangle: A= lw = A = 1ft x 2ft = 2ft²
Second rectangle: 5 ft x 4 ft = 20 ft²
Right angeled triangle Formula: (ab)/2 = 3 ft x 5 ft = 7.5 ft²
Add it all together: 2ft²+20ft²+7.5ft² = 29.5 ft²
D. is a rectangle and a triangle: 8 ft x 3 ft = 24ft²
the triangle 8 ft x 2ft = 12 ft²; add 24 ft²+12 ft² = 36ft²
E. is a right-angled triangle (see fromula above) = (14 ft x 4 ft)/2 = 28ft²
Using Taylor expansion, show that
f0
(x0) = f(x0 + h) − f(x0)
h − h
2
f00(ξ),
for some ξ lying in between x0 and x0 + h.
Solution: We expand the function f in a first order Taylor polynomial around x0:
f(x) = f(x0)+(x − x0)f0
(x0)+(x − x0)
2 f00(ξ)
2 ,
where ξ is between x and x0. Let x = x0 + h:
f(x0 + h) = f(x0) + hf0
(x0) + h2
2 f00(ξ).
Solving for f0
(x0), we obtain:
f0
(x0) = f(x0 + h) − f(x0)
h − h
2
f00(ξ)
