draw 4 level curves of f(x,y)=e^-x+y

Q: Plot the function f(y) =2y^2 − 2y and f(y)=12y^3-12y^2 and find the total areas of the shaded…

A: Graph of functions

Q: Determine the concavity of the graphs of y^2=x and y=x^3

A: We have to determine the convexity of the graphs of y2 = x and y = x3 in between the points of their…

Q: Find the X coordinates to the curve Y= X^5 - 5X^4 when the gradient = 0

A: Given equation is Y= x5- 5x4 Gradient =0

Q: Trace the curve x^3 − 6x^2 + 11x − y = 6.

A: Given- x3-6x2+11x-y=6 To draw- The graph of the above function. Concept used- The above expression…

Q: Please draw the graph that shows the cross section of the function f(x,y)=2y^3+3y^2−2x+4 and the…

A:

Q: Find the orthogonal trajectories of family of curves x-y=cx^2

A: To determine the orthogonal trajectory of the equation f(x,y)=c Find dydx Replace dydx→-dxdy Solve…

Q: 13 4.

A: Slope of the curve at a point  is dy/dx at that point

Q: Are there any points on the curve y = x - e^-x where the slope is 2? If so, find them.

A: To determine the point where the slope of the function is 2.

Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

A:

Q: Find the slope of y(3x-y^2)=10  at (3,2)

A:

Q: Find the loop of the curve y²=x^4(4+x)

A: The given curve is: y^2 = x^4 . (4 + x) Clearly the graph of the curve passes through (0, 0).

Q: Sketch the level curves of f(x, y) = ye^x

A: The graph a three dimensional surface is represented by the equation: z=f(x,y). If the graph of…