You want to form a rectangular pen of area a = 120 square feet. (See the figure below.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 120/w, so the total amount F= F(w), in feet, of fence required is the rational function 120 F = 2w - (a) Make a graph of Fversus w. 100 14 (b) Explain in practical terms the behavior of the graph near the pole at w = 0. The amount of fence required gets larger and larger v as the width gets smaller and smaller. (c) Determine the dimensions of the rectangle that requires a minimum amount of fence. (Round your answers to two decimal places.) width 30 length x ft x ft 1800

Q: Find (+72+6) dz + C

A:

Q: V(3278)3 + 6230 – 12e90i

A:

Q: -11sin (z)dz -

A:

Q: 10. (x² – 2y)³ 3

A: Given,          x2-2y3

Q: Find m2C and mZD. B. (3c - 17) (c+ 1) A

A:

Q: 6-7:

A: 6-7=-1

Q: Multiply. 3 x-4 3 3 2 X+4

A:

Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

A:

Q: こ (0) of

A:

Q: 196. 2(n+1)

A:

Q: The ratio test: {Pn =lan+1/anl.p3D lim Pn}. If p = 1 the series converges. n True False

A:

Q: to 2A+7 n-1

A:

Q: V16-x² B Evaluate S. Sezy2) (x²+y²) /16 –r²drdzde -

A: Given integral is, I=∫04∫016-x2∫x2+y24416-r2drdzdθ Now, integrating the given integral,…

Q: (4 – a2)

A: To integrate.

Q: 5)235

A: Answer : 47

Q: 2070 = (16a + 10)15

A: 2070 = (16a+10)15 And (16e+11)17 =3723 To find  the values of a and e

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 9. (x² – 2)3

A:

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: 1 4 5 3 Subtract: 1 8 1 2 6 2 3 5 7 7 | | Preview 2.

A:

Q: Find Σ +i . Ο 30 Ο 31 Ο 32

A:

Q: 28 Σ

A:

Q: 1 3. s'+3s²

A: We have to find Laplace inverse by convolution theorem.

Q: |番,曲 1 dx (r-2)² 5. 2.

A: Given :

Q: Q53(a.)

A: Given          f(x)=2x3+10x2+12xx3+2x2

Q: (1+2 In æ)4 6.

A: topic - indefinite integral

Q: Evalvate S (4sin co) -8cos co) )do

A: Given that: ∫0π(4sinθ-8cosθ)dθ

Q: 8y -(5y + 2) = 16

A: Here we will find the value of 'y',

Q: What is the least common multiple of 12 and 2? lcm (12,2)=(

A: Algebra

Q: 2r dr (1 - r)"

A:

Q: 3x Зх- 11 A E x +9

A:

Q: 9. x+8

A: For two intersecting chords , the  multiples of the lengths of the line segments on each chord are…

Q: 1) 2 J0 (1 – 9ry²) dy dr

A: For the given double integration , first we gonna solve for dy then dx.

Q: 3 2 25 +5² +85 +6 (S²+4) (S²+1)

A: Given that L-12s3+s2+8s+6s2+4s2+1

Q: -96 6 -7 A = -3 d 4A.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.