1] Let X,YER. Prove that VxVy(4x+9y>9⇒(x>5/4 Vy> 4/9)) using method of indirect proof.

Q: (a) Use Gauss Jordan elimination method to solve the system of linear equations given by AX= B where…

A:

Q: 8. Evaluate tan² (j0.78)

A:

Q: a. If each of 8 students scored 90 on a test, find each of the following for the scores. i. Mean ii.…

A: (a) 8 students scored 90 on a test. (i) mean = Total spaceNumber of players ⇒ mean = 8*908 = 90⇒…

Q: (1; 0 4

A:

Q: ind the value of f(1,6) from the data set by finite difference interpolation. Since the real value…

A: Given the data  x 1.1 1.3 1.5 1.7 f(x) 0.09 0.26 0.40 0.52 To find the value f1.6 using…

Q: 2) Consider a horizontal parabola of the form ay2 +by+c = x where a 0, and whose graph contains the…

A: In this question, the concept of the parabola is applied. Parabola A parabola is a curve equation in…

Q: what is inner Product ?

A: Define inner product.

Q: 1. Entering a syntax of a polynomial is similar to 1x3 matrix or a 1x3 vector. A. True B. False

A: We know, a polynomial of degree 3 is represented by 1x3 matrix. But A polynomial of degree 4 is…

Q: (77) (04-70° + 180² - 200+ 200+8) V = 0

A:

Q: #9. Given f(x) a) b) x²+x²-x²+x-2_ (x²+1)(x-1)(x+2) x³+4x²+5x+2 (x+1)²(x+2) State any vertical…

A: Introduction: Every rational function exhibits asymptotes. There are three different types of…

Q: 1. (A population model) Consider the differential equation dP dt -P(2P-1)(P-3) where P(t) is the…

A: Given differential equation is dPdt=19P(2P-1)(P-3), where P(t) is the population (in thousands) at…

Q: Let gcd (a,m) = 1 then the solution of the linear congruence ax = b (mod m) x = a(p)-¹b (mod p) x =…

A: Introduction: The greatest common divisor of two integers is an integer that divides both of the…

Q: 15. Matrix_2₁ a. Matrix b. Matrix c. Matrix d. Matrix 1 31 -2 41 2 2 12 -1 1 + 2 Matrix 1355 12 L 19…

A:

Q: Julie wants to buy burgers and juice for her and her friends. Each burger costs Php 15 while each…

A: We need to formulate a system of inequalities for the given scenario and then solve the system by…

Q: Given: 12-40 A = 0 35 1 7 896 12-4 B= 6 3 5 049 12-47 C = 0 3 5 6 0 4 9-10 104 D = 2-1 1 310 -5 6 7…

A:

Q: 11. Evaluate L{sint cost}. a. (s^2+4) b. 1/(s^2+4) c. 1/(s^2+1) d. 1/(s^2 +1) öö

A: j

Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = n²x^ 3 6 9 (3n) Find the…

A:

Q: Draw the Taxi-metric hyperboloid |x| + |y| + |z| = 1

A: As per the question we are given the equation of Taxi-metric hyperboloid as : |x| + |y| + |z| = 1…

Q: The standard form of the following linear differential equation dy sin x = (cos x)y + xsin x + 2 is:…

A:

Q: Iwant to define these Poin (Defined) 1-) sobolve spaces 2-) Reflexive real Banach SPace

A:

Q: cos Ꮎi = cosh 0

A: The given problem is to prove the given complex Euler identity by using Maclaurin series. To prove:…

Q: Consider the two differential equations: I: (4x + 3y²)dx + 2xydy = 0 2y II: (x²+²x) dx + (In x² −…

A: Exact Differential equation:      "The given differential equation of the form…

Q: √√x-2 (x² − x + 1)² - Q.3 If f(x) = - Find (a) The intervals on which f is increasing, (b) The…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Let A and B denote 3x3 matrices, prove the following matrix transpose laws. Provide your own matrix…

A:

Q: 1. Find the domain of the vector function r(t) =< ln(t + 2), 1 1 - 1² 21 √₁²-4 V

A: Basic rule  of finding  the domain of a vector  valued function is to consider  every component…

Q: Determine all the eigenvalues of the matrix G given below. Hence, obtain an eigenvector…

A:

Q: A car hire firm has cars which it hires out day by day. The number of demands for a car on each day…

A:

Q: Using integration, find the area of the triangle with vertices at (2, -5), (6, 2) and (4, 1). Sketch…

A:

Q: . Find the domain of the following functions: m (1) y=log (16-x²); (2) y = arcsin x+; (3) y = x-3…

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: 1 1 1 Give U V Given that u = 1 - 2i and v= −2+ i, find z such that your answer in the form of a +…

A:

Q: Ex: Using the Euclidean metric for polar coordinates, Compute the length of arc for the Curve で T =√…

A: Introduction: The formula of the arc length of the curve xt,yt is given by, L=∫abdxdt2+dydt2dt Where…

Q: The solution of the following non exact differential equation (y + y² cos x) dx + (2x + 3y sin x)dy…

A: e^(logx)=x

Q: 2 2 X = {K_EW : S" (Lu' (+)/² + 9 ª 14(+)1³)dt< =0} O why this is inner Product ?

A: Given: X=u∈W:∫0∞u't2+92ut2dt&lt;+∞   To explain: Why the given condition represents an inner…

Q: au a²U dt dx² Show that the local truncation error at the pint (ih,jh) of the Crank-Nikolson…

A:

Q: Simplex Method - Minimization problem   A company wishes to minimize cost of production…

A: The given LPP is  Minimize Z=22x1+33x2+11x32x1+2x2≥20x1+x3≥15x1+x2+x3≥20x1,x2,x3≥0 subtract the…

Q: Find an equation of the plane tangent to the surface 5x² + 6y³ +5eªy − z = 4 at the point (0,…

A:

Q: The non-exact differential...(x² + y²)dx + (3xy2 + 2xy + x³)dy = 0 can be reduced to exact after…

A: We need to determine the integrating factor for the differential equation: x2+y2dx+3xy2+2xy+x3dy=0…

Q: The non-exact differential (x² + y²)dx + (3xy² + 2xy + x³)dy = 0 can be reduced to exact after…

A:

Q: 7. Evaluate cosh (ipi/4). a. 1.414214 2270 degrees b. 0.707107 20 degree c. 1.414214 2180 degrees d.…

A:

Q: Exercise 5 (a) Find a complete solution of Clairaut's equation: 7-xp+yq +3p¹/31/3 (b) Show that xyz…

A: 5. (a) Given Clairaut's equation is z=xp+yq+3p1/3q1/3   To Find: A Complete solution of above…

Q: The following differential equation is an ordinary differential equation. O True O False da 1+1

A:

Q: Plot the phase line of the following equation and discuss its qualitative implication dy/dt = y2-y-6

A: Derivative of the function f(y) is the measure of how fast the function is changing with respect to…

Q: unds of hammer to kill 1 Yian Kut-ku heathe attacks, three full spirit long sword ar pounds of…

A: Given as, Gauss Siedel method: In numerical algebra, the Gauss-Seidel method also referred to as the…

Q: (7) (D² - 70° + 180² - 200+ 200+8) V = 0

A: We have to find the general solution of the homogeneous linear differential equation with the…

Q: Part II. Direction: Solve for the root and the iteration function g(x) of the following functions…

A: As per the question we are given the following function : f(x) = (x-2)2 - ln(x) And we have to find…

Q: Consider the following initial value problem. Determine the coordinates tm and ym of the maximum…

A:

Q: takes one great sword unsheathe attack, one full spirit long sword combo, f light bow gun and five…

A: Gauss Siedel method: In numerical algebra, the Gauss-Seidel method also referred to as the Liebmann…

Q: Use the Euler algorithm with a step size h = 0.2 to find an approximate value of y₁0 for the linear…

A: To find- Use the Euler algorithm with a step size h = 0.2 to find an approximate value of y10 for…

Q: Cho hàm số 12-2t+17 | t1i – ²_-2+¹3 + (t² +4)k, nếut‡1 t-1 ai + bj + ck, nếut=1 Tìm các giá trị của…

A:

Q: Let (P) be the surface of equation 2x² +4y=16 and (Q) be the surface of equation x=-1-3y²-3:². Then…

A: