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Q: Find the intersection point and draw the curve

A: The given curves are y1=39-3x2 and y2=x+22.

Q: Graph the curves y = x3 - 4x and x =y3 - 4y and find their points of intersection correct to one…

A: We will graph the functions using a graphing calculator

Q: Explain with pictures what is meant by a simple curve and a closed curve.

A: To Explain with pictures: Simple curve. Closed curve.

Q: Trace the curve: y = x³ + 3x² - 10x - 24

A: y=x2+3x2-10x-24

Q: For the curve equation y² = x³ + 3 over F223, find: a. 3 (192,105) b. 5. (47,71) c. 2 · (60,139)

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Find betwee y = x2 the the CurveS and area 2. 3= 4x-x groph %3D Draw

A: Given curves :

Q: find the slope of the line through (4,3) and (7,8). show all work

A: we are given the points through which the line passes, we need to find out the slope of that line.

Q: Find the exact distance the point p (-2,-4) and the line y=1/3x+2

A: Solution ) y = (1/3)x +2  Slope of perpendicular to this line would be  m = - ( 1/1/3)  m = -3…

Q: Define the slope of curve?

A: What to find: We need to give the definition of the slope.

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.