2. For the function f(x) = -(x + 4)2 - 1, where is the function: a. increasing? (Express as an interval) b. decreasing? (Express as an interval) C. Constant? (Express as an interval) d. Relative maximum? relative minimum? A rancher has 1250 yards of fencing with which to enclose two rectangular corrals, both of The two corrals will share one side, and a river forms one side of both corrals. Suppose the widtn is x yards, where x is parallel to the river. Express the total area of the two corrals as a function of x. river 2x .(ax 1250)= arca 4Xa500Xre 4. An airplane is flying at an altitude of 2,400 feet. An air-traffic controller in the tower keeps constant track of the plane's distance from the tower in x feet. Express the horizontal distance from the tower to a point directly below the airplane, d, in terms of x - -1 -32- if x<-1 (5) Graph the piecewise function f(x)x2- 1 if x -1 x 2 03-1 321 6im works for a clothing store. He gets paid $150 per week base salary, plus 8% or his sales on Over $1000 up to $3000, plus 17% on his sales on everything over $3000. (a) Find a piecewise function for his total pay (b) Graph that function of his pay for sales up to $6000, IID Function Operations. Problems 7-12 refer to this: If f(x) = x2 + 3 and g(x) = 3x - 6, perform the following function operation 7.. (f-g)(x) everything /S0 17x obo,17 1170 8. (x) (don't forget the domain issue!) 9. (fg)(x) 10. (f+g)(x)

Q: (-14) + (–7)

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Q: メ+1

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Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: 2. 3. 8. 5.

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 6.4 3

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Q: Select and order the steps to prove the special product pattern for the square of a binomial. Step…

A: A square of a binomial is of the form (c+d)2  We first write it as a product (c+d)(c+d)Then we…

Q: 4(2w-5) = 5w + 4 %3D

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Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

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Q: . 4- 5 4m+8

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Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 619 d. 4 10

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Q: 5)235

A: Answer : 47

Q: ne binomial:

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Q: 3x 13)

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Q: y27x+2

A: y &gt;= 7x/4 +2

Q: 18(9+7)+3

A: 18(9+7)+3

Q: Identify the work done, J. F.dr by an electric field, E = (x + xy)î + (y + 5)f – 5zk V/m to move an…

A: Work done along the curve C by vector field F . Where C is given by parametric equation r(t)…

Q: 6. 8.

A: Pythagorean Theorem:                  Pythagoras theorem states that  "In right angled triangle ,…

Q: 12 8. 4

A: Given, 12/4 - 8/5 Taking LCM we have, LCM= 4*5= 20

Q: expand (x+y)6

A:

Q: 12 10 6. X%=

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Q: 2/5 +7/12

A: Please see the answer below.

Q: (S+a?) (s*+b?)

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Q: 9. x+8

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

Q: O 1.4 1.4

A: Given: 4:48

Q: 3(5x)

A: given: 3(5x)

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.