6. Find the domain of the following functions (where defined) a). f(x,y) = square root x+y+1/x^2 - 1    b). f(x,y) = x ln(y^2 - x^2) Sketch the graphs. this is a 2d graph

Q: 8. State the location of the x intercepts of the function y = sinx and the vertical asymptotes of…

A: We need to determine the x-intercepts of the function y=sin x and vertical asymptotes of the…

Q: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

Q: A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

A:

Q: Let P = (x,y) be a point on the graph of y = x- 12. %3! Express the distance, d, from P to the…

A: The given problem is to find the distance function in terms of x where distance between origin and…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: Find a cubic function whose graph has horizontal tangents at the points (-2, 6) and (2, 0

A: Take y=ax3+bx2+cx+d Differentiate with respect to x, y'=d(ax3+bx2+cx+d)dx Since the tangent is…

Q: Find the domain and range of  W=1/x+y

A:

Q: What is the domain of the function y=sec(x+π)

A:

Q: Locate the stationary point of the following functions and determine their character. y= 1/2x^4 -…

A: Please see the below picture for detailed solution.

Q: a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t,…

A: Given, a projectile launched at t = 0 second that follows a path x=30t, y=-5t^2+80t where x…

Q: functions f(x) and g(x) with given equations, we'll use the vertex form of a quadratic equation: y =…

A: The equation of parabola is of the form y−k=a(x−h)2 . Where Vertex : (h,k)Axis of symmetry : x=hIf…

Q: s the function y = 3(x-4)^2 + 1 symmetrical with respect to the y-axis ? Why ?

A:

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get