19. y = x + 50, for x-values between -8 and 8. 20. y = x + 60x + 30, for x-values between -60 and 0. 21. y = x + 3x? – 45x, for x-values between -10 and 10. 22. y = (x – 28)³, for x-values between 25 and 31.

Q: 9. Evaluate | y + 7 | if y = -2.

A: Absolute value of the function at point

Q: -3x Suppose /(x)- Evaluate: -3x 3- In (5) 3x 3- B. +C In (5) AIn (5) +C 3 517

A:

Q: L{tcos (-4t)} 16-s2 (s²+16)² s2+16 (s2–16)? - 16+s2 (s2-16)* s2-16 (s2+16)*

A:

Q: In Problems 55–74, solve each equation in the complex number system

A: A polynomial is an expression of the form anxn+an-1xn-1+···+a1x+a0. The expression aixi in the…

Q: 6 where S = 2 -5 ex4 -m R²×² to R²×2

A:

Q: d Oliver starts with a collection of bricks in which the combined of blue and green bricks is odd.…

A: The objective is to explain if he start with collection of bricks in which the combined number of…

Q: 04:50lve The Ivpain 0 2+ 3५-2५-0 364-364+13y-o

A:

Q: 32. y" + 4y = 8(1 - T) - 81 - 27). y(0) = 1. y'(0) = 0 33. y" + 3y' + 2y = 2u(1 – 2). y(0) = 0.…

A:

Q: 5- If 2 - 3 3 -1 = | In y 1 5e? -5 -2 + 5 2 4 3 1 5 8 Then, what is the value of x+y+z=?

A: 5)

Q: 1 If h(x) = 5 + x and k(x) = which expression is equivalent to (k h)(x)?

A: Given : h(x)=5+x   and k(x)=1x we have to find (k∘h)(x)

Q: 4. P(-0.93 <z< 0) 5. P(z < 1.50) 6. P(-2.37 <z<-0.37)

A: Let z follows the normal distribution then,  We will find the above probabilities= ?

Q: 5. for z > -1.34 6, for z <-2.26 7. to the right of z = 1.76

A:

Q: Find (s+2)e -AS 2 s² +2s+4 4{}

A: Properties of inverse Laplace transfomation…

Q: d. - 2.69 <z< 1.06 P(- 2.69<zs 1.06) = e. - 2.02 < z<-0.93 P(- 2.02 < z<- 0.93) =

A:

Q: 10.  Create a table of values with seven x-values for   y = 3 x – 5.

A: A function is an expression which gives output values for each input values. The variable of the…

Q: -t 45+2 +25 +5 4e cas 2t + 4esia 2t

A: As you have posted multiple questions so according to our guidelines we will solve only first…

Q: 8.) What is the value of (- (-- ) = (-$)2 1 ÷ (- 4 A. - 1. 16 В. - 3 7 3 С. D. 15 16 5

A: Given: -14-12÷-47          taking "-" common in  -14-12 we get -14+12 Then  -14-12÷-47=-14+12÷-47…

Q: 5. Describe the end behavior of P(x)=-6x-102x0 +3,297 a) as x→0, y00 and as x -o, y -o Opposite end…

A:

Q: Q28- The value of e-(In+1 )n is a) (-1)" e--1 b) (-1)"e" c) (-1)" e-+1 d) (-1)" e-"

A: We have to find value of  e-(in+1)π

Q: 22.L{tsin (-2t)} O - (s²+4)? 2s (s² +4)° 8s 4s (s?+4)

A: Correct option is  = A Please find attachment for the details solution

Q: Pebermine x and such that -4 3 -4 -4 -3 4 -8 4 -4 -2 3. 3. OC

A:

Q: -10 S- + 8$ +29 (28-35- 3) ?

A:

Q: |-12 6. - [-2 0 -1 A = 4 1 ve det(A)= 13 ise 24 18 24 3 4-

A: detk.A=kn.detA Where n is order of matrix .

Q: Suppose that Y - N(2.08,0²) with P(Y > 2.2)=0.274. Find ơ.

A: Here, Y is normally distributed with  Mean = 2.08  standard deviation = ? Given that  Probability…

Q: x(n) = (0.8)" (-n-1) 1-(00) O 2 O otherwise -1 1-(00) 1-(08) +1 0 4JA O 3 JA

A: Topic:- z transform

Q: 4 + 5z when z = 12 8r 10 9. 15 when r = 27 II - 8

A: We are solving the first three questions and for the next question post the question again and also…

Q: ーメ44 ifx 小0 2x-5 if OLx<3 fE) = Vx-2 if メ=3

A: Explanation of the answer is as follows

Q: -5- 2 e. -4 -3 -2 ने -2- -5+ 4 ३ 2 f. -5 -4 -3 -2 -2- 12 g. -5 -4 -3 -2 -1 -2 3- of 2- h.

A:

Q: 2x- 2 if 0 4

A: We have to find the function

Q: (a) to the left of –1.27 (b) to the right of 1.27 (c) between -2 and 1

A:

Q: 3. Find the deriotive of the Ronclion VE t6

A: to find the derivative of the following functionh(t)=tt+6

Q: Between z=1.40 and z=2.03

A: We have to find area between z=1.40 and z=2.03

Q: Evaluate: X^2-y-z X= -4 Y= 5 Z= -7

A:

Q: (-1, 04

A:

Q: ++31 + 4, if x s-3 f(X) = < 4, if-3 <xs2 x?, if x 2 2 5.

A:

Q: 11| Q1) If A--2 -1,B 3 3 4 -5 -1 -1 13 -1 Find (–1 x A) + (B + C)

A:

Q: -4 = 1 -15 15 O d -9

A:

Q: 1 Evaluate dz =6.0 (z- 4.0) (2 + 49)?

A: Integration of complex valued function

Q: 21. x2/?. 22. (7x )3/4 2:3. (10 a?)/2 24. n-4/2 25.(5 y)/3

A:

Q: _1. If 4' + 6 = 5(2"), what is x?

A: We will solve the problem

Q: nown belOw: [5 31 T -41 by L-3 -2] [ 3] А. 1-11 6| В. |11 c. |-11 6| D. |-11 -6

A: Given matrices are 53-3-2   and  -43

Q: -2 3 0 71 -1 0 0 0 3 0 0 -1 3 0 00 5 3 2 5 3 0 0 If A = -3 4 5 6 -

A:

Q: X-2y+2 = 0 8. 2x +3y + 18 = 0 10+ 10 10 sb loonbe s 26 701 8- -10+

A: Solving equations and graphing

Q: -3 4 (a) o 5 8 -5 (b) 0 4 -9 3 1. 7 -2 0 -8 -3 6 (c) 3 9. -3 7. (d) - - - r o0-

A: forming the linear equations from the matrix we have  x-3y+4z=7y+2z=2z=5 substituting the value of z…

Q: y= 2x if 0 <x<3 y= 9– x if 4 <x<7 y=-5+x if 8 <x<9

A: Given that  y=2x            0≤x≤3y=9-x        4≤x≤7y=-5+x     8≤x≤9     Let us rewrite these…

Q: 5. Given that 4²-x = 4(21-*), the value 'of x is 1 B 2 C -1 D 1

A:

Q: For z > 1.34 For z -1.11  For z -2.29

A: For z &gt; 1.34 Pz&gt;1.34=1-Pz&lt;1.34=1-0.9099 Using Standard normal table=0.0901 For z &lt; 1.34…

Q: 3 For Va- evaluate y' when y = 4. 2' y A) -2 В 2 C) -4 D 4

A: We have to find out the derivative of Y with respect to X, when Y =4

Q: -24 + 14y - y^2 is equal to O 36 - (y - 5)^2 25 - (y - 7)^2 16 - (y - 6)^2 O 49 - (y - 6)^2

A: Add and subtract 49

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.