The rectangle M, lies in the (x, y) plane in the (x, y, z) space, and is given by: M1 = { (x,y)|0

Q: Find the abscissa of the point on the graph of y=V 2x – 1 that is parallel to the line 2x - y+1=0

A:

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

Q: Sketch the graph of f(x,y) = 4x +y +1. State the domain and range of the function. Which of the…

A: f(x,y) = 4x2 + y2 + 1 Domain = R2 Range = [1, infinity)

Q: 1 Let f(r) = (r – 1)?, g(x) = 1– r², h(r) = 2(x+ 3)2 – 8, find for each function a) r- and y-…

A: Given :           fx=x-12gx=1-x2hx=2x+32-8

Q: Identify and sketch the domain of f(x, y) = y² + 4x + 2 In(1-x² - y²)

A:

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

A:

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Force F in rectangular x-y components is given by F = -25i + 28j [N]. Determine the non- rectangular…

A:

Q: A cubie function has rule x) ax+ br + 6. The points (1,4) and (2, 11) lie on the graph of y f().…

A:

Q: Let c be a fixed constant. Explain the relationship betweenthe graphs of: y = f (x + c) and y = f…

A: To explain: The relation between the graphs of y=fx+c and y=fx in rectangular coordinates. Concept…

Q: Find the maximum and minimum values of the ,2, function f(x, y) 2a2 + 4y? = x'y subject to 24…

A: We Know that In mathematical optimization, the method of Lagrange multipliers is a strategy for…

Q: Let f (x) be the square of the distance from the point (2, 1) to a point (x, 3x + 2) on the line y =…

A: The square of the distance between two points (a, b) and (c, d) = (c - a)2 + (d - b)2

Q: Find the domain of the function f(x, y) = In(3x? – 2y + 1). The set of all ordered pairs (x. y) for…

A:

Q: Transform the function y=6x-1rlght 3, down 4 , and reflected over the x-axis

A:

Q: Sketch a contour diagram for the function with at least four labeled contours. f(x, y)-y-4x² y y

A:

Q: Find the point P where the function f(x, y, z) = x¹y¹z7 reaches the maximum value for x, y, z ≥ 0 on…

A: Given the function fx,y,z=x4y4z7 reaches the maximum value for x,y,z≥0 on the unit sphere x2+y2+z2=1

Q: Consider the function 2² + 2x +1 y = r2 +1 a) Show that the domain of this function is a €R. b) Find…

A:

Q: List the points in the xy-plane, if any, at which the function z = 7+ ((x-4)² + (y+3)²)´ is not…

A: The given function is as  z= 7+((x+4)^2 +(y+3)^2)^2  We have to check the that this function is…

Q: (ii) Make a contour plot of the function z(x, y) = -xy in the xy-plane, by drawing a collection of…

A: Level curves (or contour lines) for a function like f(x, y) = -xy can be found by setting the…

Q: Consider the function y=-2(1/2(x-1))^2+5.    Find the x and y-intercepts. Round to one decimal…

A: To find the x-intercept, we set y = 0 and solve for x.0 = -2(1/2(x - 1))^2 + 5Divide both sides by…