The range of the relation S from R to R given by S= {(x,y) ER? y 2-x) is. O a. (-x,0] O b. [0, x) O c. R o d. (-x,0) (x'0)

Q: Evaluate F. dr along the line segment C from P to Q. F = -8xi+y j; P(-2,0), Q(7,0) F• dr =

A:

Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 1

A: In this question we have to determine which is f, f' and f''.

Q: What is the y for each of the x’s

A: Given that :Suppose you have a job that pays $9.50 per hour and you work anywhere from 10 to 40…

Q: 1. Which point could NOT be paired with (4, 3) to create a function? A. (0, 3) В. (3, 1) С. (2, 3)…

A:

Q: Make r the subject Y=x-r/x+r

A: Y = (x-r)/(x+r)

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

A:

Q: Find dom(R),range(R), R−1, R ° R, R° R-1,R-1⁰ R for the following relation: R={(x,y)| x₁yEN and…

A:

Q: ²5° c) Evaluate x² (1 + x³)³ dx

A: We solve given integral by method of substitution.  To make integral easier,  we substitute some…

Q: Given DEF -> WHY through a reflection across the line y = x. What are the coordinates for the image…

A: We need to find coordinates of H.

Q: a. In R?, let C be the line segment from (-1,2) to (0, 4), and let F = (x + 2,-xy). Evaluate S, F ·…

A:

Q: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

Q: 41. For ), find all values ofx and y such thatx,y)=0 simultaneously. and yr.y)=0 f(x, y)…

A:

Q: Let y = d -7 = 7 and u = -7 -2 Compute the distance d from y to the line through u and the origin.…

A: Introduction: Let l be the path connecting the origin to u. We can compute the projection of y onto…

Q: 3) Let x = (-1,3,2,-4), and y = (1,0,2,3). Find the following distances || x = || = ? []x - || =?

A:

Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

A:

Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

A:

Q: Find a value for x so that distance from (x,3,6) to the origin is 9

A:

Q: Evaluate F. dr along the line segment C from Pto Q. F = -8 xi+5y j; P(-1,0), Q(7, 0) F. dr i

A:

Q: Mark all points that are on the line y = 4x – 7. O (3, 5) (– 2, – 15) O (4, – 7) O(- 3, – 20)

A: Given : y = 4x - 7

Q: Solve Using the Quadratic Formula

A:

Q: Evaluate |(xy? + 4) ds where C is the portion of the line segment from (1,2) to (3,-4) and then from…

A:

Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 2

A: Solution :

Q: find range of y 1 1 X-2 R/{1,2} O R/{2} O R/{1} O R/{0,1} O 1-

A:

Q: The domain and the range of z-cosh are represented respectively by D-(.)ER XR:20 and R= ( - c , 0 ):…

A: Use the following definitions, to obtain the solution. The domain of the function y=fx is a set of…

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.