1 1 8. If A= ,then A( where k is any integer number) is 0 1 [ k (a) A = 0 k 1 k (b) A = k k (c) A = (d) A = (e) none 0 1 Q9. The condition on a such that the function f(x. v) =r +2oxy +16v?is nositive semi deinite cxcent at noint

Q: 2. Miss R is given the equation below, and she graphs the line in the following way. Explain her…

A: In this question, we check the error made by Miss R. and draw the graph correctly.

Q: If the function f:R →R given by f(x) = x' + ax? + bx + 5sin? x is an increasing function, find the…

A:

Q: (x² + 2 , x² – xk – 3 , x 5 7. Find the value of K that makes the function f(x) = Continuous at x =…

A:

Q: The upper constraint for error using S'Peck) where P₂(x) is the Tyler Polynomial of the function…

A: We are given the function f(x)=ex cos x. Now we need to find the P2(x) which is the Tayler…

Q: Define f: [0,21-R by f(x) = x²+2x-1 , then the sup f-inf f is : 1a O (0,2) (0,2) 8.ь о Please choose…

A: Given function is  f(x)= x^2 + 2x -1

Q: 3. Show that f(x) = e describes a bijective function from R to (0, +∞0). (a) Show that f is a…

A:

Q: 5. Let f : R -→ R be defined by f(x) = 2x +9. Find a formula for f-1.

A: We need to find the inverse function of the real valued function f(x)=2x+9

Q: 9. For what value of the constants A and B is the function A√x+6-1 for Br² +2 f(x) = 2 Ar + B f…

A:

Q: 2 csc x 11. Evaluate dx by using substitution method. (1– cot x)'

A:

Q: Let f(x) = 36 – 5z – z?. (A) Use interval notation to indicate where f(z) is increasing. Note: Use…

A: Answers are provided below.

Q: B.1. Consider the function f: NR given by 4n • ( [47] - √₂). 3 f(n) = n Prove that f(n) is O(n²).

A:

Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

A:

Q: Let X = R – {2} and Y = R – {3}, where R is the set of real numbers. Show that Card(X) = Card(Y).…

A:

Q: b. Let g(x) = x² – 7. Determine the root(s) of g. 7,-7 Preview 7 = 7., – 7 = -7. c. Let h(x) 5x? -…

A: Topic = Algebra

Q: How many injective functions f: {1,2,3,4} {1,2,3,4,5} are there with f(n) < 2n? O 12 O 36 O 24 06

A:

Q: Q2. Determine all values of a, b, c, d, e for which the following function is a cubic spline (a(x –…

A: Given that, fx=ax-22+bx-13    x∈(-∞,1]cx-22    x∈[1,3]dx-22+ex-33…

Q: 8. Find the domain of the following function. Show the work that leads to your conclusion. Express…

A:

Q: 1. Let f(x)= x on the interval [-7r, 7T. (a) Compute f42, given by 1/2 -T

A: To compute the L^2 norm of the given function, following the definition of the norm

Q: [2x – 1] lim where [2x – 1] is the greatest integer of 2x – 1 3 – |4x + 5| Which of the following…

A: Given, limx→32+2x-13-4x+5 x=32+h,  h→0 limh→0232+h-13-432+h+5 limh→02h+23-4h+11=2-8-4h=-14

Q: c) Consider a function f defined on the real numbers as { 0ifais irrational. S(r) = 1/n ifr= m/n…

A: To show that the function f is continuous at all irrational numbers.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.