(c) 7/2 0. 2 3 4 5 6 7 This graph is Select--- with equation Select-- cardioid (d) convex limaçon /2 rose curve circle lemniscate 3

Q: (c) Use the eigenvalue approach to analyze the stability of the equilibria that you found in (b).…

A: Equating gp=0 calculate points of equilibrium:  0.5p1-p-1.2p=0pp+1.4=0p=0,-1.4 Thus, there are two…

Q: 5 3 N 2 1 2 3 4 5 6 4 1 (a) Find the interval(s) on which fis increasing. (Enter your answer using…

A:

Q: Determine the coordinates of the point P on the parabola y = 9 - ² that is closest to the point A…

A:

Q: 5. Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m+1…

A: Euclid's Division lemma: Let x and y be any integer such that y≠0, then there exists a unique q and…

Q: (a) Use rotation of axes to show that the following equation represents a parabola. (Write the…

A: Given equation is:                         ..............(i)To eliminate the xy- term , you need to…

Q: whether it is a minimum or a maximu 2.) -4 2 Vertex: (, )__ AY -2 O 1 X

A:

Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A:

Q: 10. Graph the following: (g) y = -(x+3)² + 4 (h) y = 2(r- 1)² – 8

A: Here we have to graph the functions,  g) y=-x+32+4 h) y=2x-12-8

Q: below, state whether it represents a function. Graph 1 Graph 2 Graph 3 8- 4- 6. 4+ 2. -8 -6 2. -2 -4…

A: A function is a relation for which each value from the set the first components of the ordered pairs…

Q: Suppose that a random parabola has a minimum vertex at (6,5) what would be the value of the axis of…

A: The axis of symmetry for a parabola is the line about which the parabola is symmetrical. The…

Q: In the xy-plane, the graphs of y = 2* and y = x? - 10x + 19 intersect at the point (r, s). What is…

A: Given: In the xy plane, the graphs of y=2x and y=x2-10x+19 intersect at the point r,s.

Q: 11.(T) A parabola has a y-intercept of -4 and passes through points (-2, 8) and (1, -1). Determine…

A: find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through…

Q: . What are the values of x for which the graph of y = x³ – 9x2 is concave down? (A) x > 0 (B) x 3…

A:

Q: B] (x-5)_ (y+ 3) =1 14. Center: (5, -3) Focus: (0, -3) Vertex: (8, -3) IA] (x-5)° , (v+3)² 16 (x-5)°…

A: Given: Center :(5,-3)Focus:(0,-3)Vertex:(8,-3)

Q: y vyu v 4х — Зу — — 1 4 3 2 I 234 5 -s -4 3 -2 1 3 + 4 4 3 2 s -4 3 -2 1 +3 4 4 3 34 s -4 -3 -21 +4…

A:

Q: 3) What is the standard equation of the circle with a Center (-2,5) and a radius of 7? (x-h) ^2 +…

A:

Q: 16) (a) Sketch the graph of a circle with a diameter of 10 and a center at (3,-2). (b) Sketch the…

A:

Q: 5) y=-x-6x- 10 -6 -4 6. graph. 00 4.

A:

Q: 11) (5 pts) Graph the circle (x+3) +(y-5)' =16

A:

Q: 13. On the graph below, point A(3,4) and BC with coordinates B(4,3) and C(2, 1) are graphed. A C -X…

A: Introduction: A dilation is a transformation in which a figure is enlarged or reduced with respect…

Q: The asymptotes of the graph of the curve ax² +1 x²+bx+16 (a > 0, bER) intersect at only one point.…

A:

Q: Suppose that the height s of a ball at time t (in seconds) is given in feet by the formula s(t) =…

A: Given equation:- st=55-16t-22 Here s is height of ball in feet and t is time in seconds

Q: 2.) Graph h(x)=-4x°(x-8) (x+6)°(x+3)² (x– 2) in a general sense. a.) Identify all zeros and their…

A: SL

Q: mple 3: Graph f(x) = -2(x + 1)2+5 • Determine if the graph open up or down (value of a) • Plot the…

A: The given function is f(x)=-2(x+1)2+5

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.