No. For example 1 sq. f. circle has 2*Pi*(1/Pi)^0.5 perimeter and 1 sq. f. square has perimeter of 4. As you can see 2*Pi*(1/Pi)^0.5 does not equals 4.
119
100 f = 37.78 c
The function (sequence generator) f(x) with x∈ℕ has been defined as a recursive function (sequence), with the initial value defined for some x, ie starting form some some natural number (in this case 1), the value of the function (sequence) is given (in this case f(1) = 1), and each successive value of the function (sequence) is defined in terms of the current value f(x+1) = f{x} + g(x) where g(x) is a function with g(x) = 3x(x + 1).f(x + 1) = f(x) + 3x(x + 1)f(1) = 1→ f(2) = f(1 + 1) = f(1) + (3×1)(1 + 1) = 1 + 3×2 = 1 + 6 = 7→ f(3) = f(2 + 1) = f(2) + (3×2)(2 + 1) = 7 + 6×3 = 7 + 18 = 25I'll let you evaluate the rest.Hint:f(4) = f(3 + 1) = f(3) + (3×3)(3 + 1)f(5) = f(4 + 1) = f(4) + ...f(6) = f(5 + 1) = f(5) + ...
Given the properties of the function ( F(x) ), we can start by calculating ( F(1) = 1 ). Using the recursive relation ( F(x+1) = F(x) + 3x(x+1) + 1 ), we can compute the subsequent values: ( F(2) = F(1) + 3 \cdot 1 \cdot 2 + 1 = 1 + 6 + 1 = 8 ) ( F(3) = F(2) + 3 \cdot 2 \cdot 3 + 1 = 8 + 18 + 1 = 27 ) ( F(4) = F(3) + 3 \cdot 3 \cdot 4 + 1 = 27 + 36 + 1 = 64 ) ( F(5) = F(4) + 3 \cdot 4 \cdot 5 + 1 = 64 + 60 + 1 = 125 ) ( F(6) = F(5) + 3 \cdot 5 \cdot 6 + 1 = 125 + 90 + 1 = 216 ) The values are ( F(2) = 8 ), ( F(3) = 27 ), ( F(4) = 64 ), ( F(5) = 125 ), and ( F(6) = 216 ). The function exhibits a polynomial growth pattern, possibly resembling ( F(n) = n^3 ) as the outputs correspond to cubes of natural numbers.
11,761.2 sq feet.
f(x)=x2f -1(x)=sq. root(x)__________________y2=x [invert y](y2)-1=x = 1/y2=xsq. root(1/y2)= sq. root (x) [y can't be squared, root both sides](1/y)=sq. root(x)y-1=sq. root(x)
No. For example 1 sq. f. circle has 2*Pi*(1/Pi)^0.5 perimeter and 1 sq. f. square has perimeter of 4. As you can see 2*Pi*(1/Pi)^0.5 does not equals 4.
119
Divide the number of square feet by 9 to give square yards. i.e.: 9 sq f = 1 sq yard
100 f = 37.78 c
I C F (Insulated Conctete Forms) can be purchased at the rater of $1.75 - $3.50 per sq. ft.
696 km2 (269 sq mi).
Please use Newton's Second Law for this. F=ma, or a=F/m.
The cost of a Canon F-1 camera body is about $150 to $200. The cost of a lens for that camera can range from $200 to $5000.
Suppose N is a perfect number. Then N cannot be a square number and so N has an even number of factors.Suppose the factors are f(1) =1, f(2), f(3), ... , f(k-1), f(k)=N.Furthermore f(r) * f(k+1-r) = N for r = 1, 2, ... k so that f(r) = N/f(k+1-r)which implies that 1/f(r) = f(k+1-r)/NThen 1/f(1) + 1/(f(2) + ... + 1/f(k)= f(k)/N + f(k-1)/N + ... + f(1)/N= [f(k) + f(k-1) + ... + f(1)] / N= 2N/N since, by definition, [f(k) + f(k-1) + ... + f(1)] = 2N
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