Sketch the level curve of the function V(x, y) = y² - x² for c = 1.

Q: Determine the point(s) on the following function where the tangent line is…

A: f(x)=−x3+3x2In order to get the slope of the curve or that of a tangent to the curve at any point…

Q: Let f(x) = x'. Find the slope of the line through the points on the curve y = f(x) where x = -2 and…

A: Let fx=x3. We have to find the slope of the line through the points on the curve y=f(x) where x1=-2…

Q: Generalize the contour plot of function � �, � using three level curves

A: A multivariable function f(x,y) is a rule that is used to associate a number or quantity with a…

Q: ind the slope in the x-direction at the at P(0, 2, ƒ(0, 2)) on the graph of f when f(x, y) slope = 0…

A: We will find the required.

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: Sketch the level curves of the function z(x, y) = 10- 9 8 7 6 5 4 3 -10 -9 -8 -7 -6 -4-3-2 2 4 5 6 8…

A: Level curves equation   y=-6x/5Explanation:

Q: The slope of the curve 2x + Vx + y = y at the point (0, 1) is

A: 2x + √(x+y) = y  So,  √(x+y) = y - 2x So, x+y = (y-2x)² So, x+y = y² + 4x² - 4xy  So, y(1+4x) - y² =…

Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

A:

Q: Find the gradient of the function y = x³ + x² – 2x at points where - a. It crosses the x -axis b. It…

A:

Q: Sketch the level curves of the function f(x, y) = = - y² for c= -4,-1, 0, 1, 4. 9

A: The level curves of a function f(x,y) are formed by plotting points (x,y) in the plane where f(x,y)…

Q: f(a + h) – f(a) 3. Find a and h such that is equal to the slope of the secant line between (3, f(3))…

A: Slope of the secant line is,

Q: Find the gradient of the curve y = a²xe-b*x at x = 1.

A:

Q: Find the gradient of the curve y = x° – x2 – 8x – 2 at the point on - - - the curve whose…

A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1