5. Prove or disprove: Let l', and I; be two simple graphs; with V(T)| = m, E(T)=p.V(T)| =n, E(T2)| = q. Then E(T, , r2 =p+q +mn

Q: Given the following graph of linear function (L₁), y a) b) 10 Write the linear equation for L₁ in…

A: (a) Equation of line L1 is y=-x-2 (b) Equation of line L1 is y=x+8

Q: 7) Use your calculator to determine the point on the graph of y=Vx that is closest to the point P…

A: y=x3  and point (2,3) Find closest point on the graph y=x3 Every point on the curve has the form…

Q: 10. Graph the following: (d) y = x2 - 4 (e) y = -(r+3)² + 4 (f) y = (r- 3)2

A:

Q: Sketch the graphs and find the point of intersection between these two graphs f(t) = 0,73t³ - 2t² +…

A: We will sketch the graph of f(t) and g(t).

Q: 19. Graph the following functions. a) y = 2 (3-1)-1 HA: b) y = - + 4 HA:

A: Compare this equation with the standard form of the exponential function So here we have Therefore…

Q: What is equation of this graph

A: Equation of straight line : y = mx + b From the graph : y = x(t) and x = t Now, Equation Of straight…

Q: 27. The coordinates of the vertex for the graph of у%3 (x+ 2)(х — 3) are а) (-2, 3) || - с) (2, 3)…

A: Given that

Q: D) show graph y=1/(3-x) and y=P3(x

A: A Maclaurin series is given by                               f(x)=∑k=0∞fk(a)k!xk…

Q: The graphs labeled (a)–(d) in the given figure represent y = 3x, y = 5x, y = (1/3)x, and y = (1/5)x,…

A: given: the four graphs of the function are given. the functions are: y=3xy=5xy=13x=3-xy=15x=5-x

Q: Graph the following: (a) y = (r+3)2 (b) y = -(r - 4)² + 9 (c) y = (x - 4)² – 1

A: We have to plot the graph of (a)  y = (x+3)2 (b)  y = -(x-4)2+9 (c)  y = (x-4)2-1   We know, the…

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: Let f(x) = x2- 2x. Graph y = |f(x)|. Graph y = f(x).

A: Givenf(x) = x2- 2x.

Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: A parabola is modelled by the function g(x) = -(x – 4)² + 9. a) Sketch the parabola. Label the…

A: We find the values and skech the graph.

Q: 3) 4) -10 -5 10+ -10- A) f(x) = -5-× Ty 5 → 10x B) f(x) = 5-× 01 C) f(x) = -5×

A:

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: help

A:

Q: b) 16 4 y= -0.0519x +1.0777x - 7.4569x + 20.247x- 12.333 12 R = 0.6113 10 10 2. time Calculate point…

A: Given equation y = -0.0519x4 + 1.0777x3 - 7.4569x2 + 20.247x - 12.333

Q: k-x k²+x² Sketch the graph of K= const-

A: k is constant  so drawing it for  k=-3,-2,-1,1,2,3

Q: -10 -5 A) f(x) = 4-X 10- 5 +++> 10 X B) f(x) = -4-X C) f(x) = -4x ute the exact value of the…

A:

Q: 10. The point (2, 6) is on the graph of y f(x). What are the coordinates of the point on the graph y…

A: If the graph y=f(x) having coordinates (x,y) is multiplied by the constant c the coordinates of the…

Q: 4. a Find where F = and c is the straight-line path from (0,0,0) to (1, 0, 5). b. Would you expect…

A: 4. (a) Consider the given function. F→=siny,xz3,ex and 0,0,0 to 1,0,π2 Now, find the r(t) vector…

Q: A rectangular plate with an area of 36 cm? is to be produced on a lathe in such a way that the…

A:

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

A:

Q: ii) Prove that the straight line y = x is the curve giving the shortest distance between the points…

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: Consider the four graphs shown below. Select all graphs that satisfy the following four conditions:…

A: We have to find desired graph for the given function conditions.

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: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of…

Q: Consider the curve defined by x = 2t – 1 and Y = 2 – t, for –5 <t< 3. Find an equation in X and Y…

A:

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.