decide if the given statement is trueor false, and give a brief justification for your answer. If true,you can quote a relevant definition or theorem from the text.If false, provide an example, illustration, or brief explanationof why the statement is false. (a) If A1(D) annihilates F1(x) and A2(D) annihilatesF2(x), then A1(D)+A2(D) annihilates F1(x)+F2(x).(b) The annihilator of F(x) = a0 + a1x + ··· + ak xk isA(D) = Dk .(c) The annihilator of F(x) = xeax is A(D) = (D−a)2.

Q: [2] If 2f(3x²+2x)=f(1)+9x²+4, then the possible values of f(1) is/are

A:

Q: Which of the following equations are true? (choose 3) 11 x 105 1.375 x 1010 %3D 8 x 10-5 (9 x 105) +…

A: amn =  am an  (ab) + (cb) = (a+c)b  am/an = am-n

Q: Evaluate xdx A√²+x+1-³x+2+ √(x + 2)² +²1+C B. √² + x + 1 - ² 1 x + ³ + √(x + 2)² + ² 1 + C…

A: To evaluate the given integral- ∫xdxx2+x+1

Q: art of z- 2z, if z = a+ib ?

A:

Q: 4 (a) s(-) = -2x + -4x +3x (b) s(<) = 2x° + (c) s(2) = -2(x - 2) (*+ 4) %3D 2.

A:

Q: Subtract: (−3x3+5x2−15)−(−4x2−2x+11)   A. −3x3+9x2+2x−26 B. -x3+7x2−26 C. −3x3+9x2−2x−26 D.…

A: Like terms: Terms that contain the same variables of the same degrees are known as like terms.…

Q: Find the maximun and minimun of P= 4x + 3y subject to:…

A:

Q: We are told that the number of units of weekly output of a product is Q(x) = 200x + 5x² where x is…

A:

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A:

Q: Write the dual of the LPP Max z = 4x1 - x2 + 2x3 Subject to x1 +x2 < 5 2x1 + x2 < 7 2x2 + x3 2 6 xi…

A:

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A: Let x1,x2 and x3 denote the number of 6000, 12000 and 24000 gallon capacity tank cars.

Q: . Find f 6x5-25x*+8x3 +43x2-8x-12 (3x-11x3+9x2-11x+6)(9x2+12x+16) dx if this can be reduced to…

A:

Q: m22 = m24 21 is supplementary to 22 23 is supplementary to 24 m22 = 4x + 5 m24 = 2x + 15 Find x and…

A: We can answer both the question as below

Q: 5 f(x) =- . If 4х — 3 =AV 4x - 3 +C, for constants A and C, what is the value of A? Suppose %3D

A:

Q: 4. If y = 3', express each of the following in terms of y: %3D (a) 3**1 - 3*- 1 (b) 32x +1 + 3*- 2…

A:

Q: NRT plz check my cu feuhelon n'a qu-A 1. x0.082 tahn (10127BK) 0 מףב.ף 1.2gchy x Imot Tgch,

A: The calculation is shown in the following step.

Q: Give a counterexample to show that (A + B)-1 ≠ A-1 + B-1 in general.

A: Let  A and B be non singular matrix Determinant of A = 1 -0 =  1 Determinant of B = 1 -0  = 1…

Q: Find a general solution of ди ди 2- + 3 2u ar

A: Given the pde

Q: An allergy pill contains 180 mg of medicine. 10% of the medicine is eliminated from the patient's…

A: Using disintegration formula.

Q: (9) Does the equation r2 - 31y² = -45 have a solution? %3D in itegers please

A: The set of all (x,y) that satisfy an equation, y=f(x) are the solution of the equation.

Q: A laundry service is buying detergent and fabric softener from its supplier. The supplier will…

A:

Q: Find The valu eo of a and b :for: Fcr): X-2 7 7X d! ax²-bx+3 if 2<x<3 2x -a +b if x3

A:

Q: 1. f(x) = Vzx5+1 (-2x²–5)–4 Solution (– 2x² – 5)-+ (2x5 + 1) 10x* – (2x5 + 1)*(4)(-2x² – 5)-$( – 4x)…

A: we have to find derivative and errors

Q: from the first principle defferentiate h() = 5x³²x+7 2² +2+1

A:

Q: 2- a sva²-z² sa²-y"-" zdxdydz a>0 zdxdydz a > 0 0,

A:

Q: Solve the IVP: X' = AX, where --() 3 1 0 2 -1 0 0 A = 3 and X(0) = -1 2

A:

Q: If fx)=5x-1, g(x)=1/x, and h(x)=g(fx)), then what is h'(0)?

A: Given that h(x)=g(f(x)) Using chain rule we get: h'(x)=g'(f(x))f'(x) We plug x=0 So,…

Q: If ||X|| = 3, ||Y|| =1 and X Y = -2, then (X - 2Y) (3X + 5Y) is equal to

A:

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7 + 5( 2X -1- 1n 7)

A:

Q: v,(x) = (x-x+1) y'(x) + 3y'(x)+9 y(x)= 5x +1 true false

A:

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A: Given ,  A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined…

Q: Derive all the possible equations of x. Given : (x-2)^2+lnx=0

A:

Q: Exponent Industries has determined that the cost of labor for producing x coffee tables is 0.4x2 +…

A: Given : Cost of labor for producing x coffee tables is 0.4x2 + 300x + 500 pesos while the cost of…

Q: 25. If ā = -j and b = 2x +5y, express and y in terms of ā and b.

A:

Q: with

A:

Q: 1. x+y 36 C( 2. (x-3) + (y-4) - 25 C( 3. (x - 5) + (y+ 4)-41

A:

Q: Solve for x1, x2, x3, x4, x5, x6 0 3 8 -5 -1 6 x, 34 3 12 -4 8 5 -2 x2 80 0 10-3 7X3 45 36 4 X4 0 0…

A:

Q: Consider the following LP Min z = 3x, + 2.x, + 7x, s.t =10 r+ 'r - -2x, + x, – x, <-10 %3D In…

A: Max Z =   3 x1 + 2 x2 + 7 x3 subject to -   x1 +   x2       = 10 - 2 x1 +   x2 -   x3…

Q: х Solve Vx-9 х — 9 3 (x- 9)3/2+4.5Vx-9+C 3 (x - 9)3/2 + 18/x-9+C 2 (x- 9)3/2+ 18Vx – 9+C a-9) -…

A:

Q: et xー4x-i7x +12 . Find xS. y'= 3x=-8K-17 y"- 6K -マ y"! =6' i2 y= x- =人 - 6x2 + 3x-2,what is 12

A:

Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

A:

Q: 2,5 is equal to . V162x O True O False

A:

Q: If fx) = (1 - x)? and g(x) = 9 - x, find Ag(x)) and g(fx). Ag(x)) = g(fx) - -8 + 2x – x? %3D

A:

Q: Consider Evaluate ( 3x² + 6x ) e *+2) (6x2+ 3x) e +y2) (6x+9x)e+y2) O (9x4+6x) e *+y2)

A:

Q: Find solution for Iup ー2 given x (6) = x C6) ー5 4

A:

Q: Solve the equation forX, given that

A: To show that the given matrix B commutes with the other two matrices, B=abcd commutes with 1000  and…

Q: 5+ 12x2 - 4x xdx a (2x? -3)/5+12x² – 4xª + 14in/2x² - 3+/5+12x? – 4x*|} b H2x2-3)/5+12x² – 4x +…

A: To evaluate the given integral.∫5+12x2-4x4 x dx

Q: The mathematical model of the demand for a certain car is given by LIED CALCULUS, 8 FEB 2022 LAYSIA…

A:

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.