4 -4 -2 이 4 -2 -4 2.

Q: 13) y"+7y'+12y = 21e", y(0) = 3.5. y'(0) = -10.

A:

Q: 9 4s4+s*Vs-6 ds s4 2.

A:

Q: 2. у %3D 2 - 2х 4 2- -4 -2 2. 4 4.

A:

Q: 12. Evaluate: 2 -1 4 -3 -1 (b) 3 1 2 2 3 -2 2 -3 -1 1

A:

Q: TO 3 -6-5-4 -3 -2 -1 0 2 3 4 5 6 -24 -3 y = -5 y = -x - 2

A: The system of equation is  y=-5  .......(1)and y=-12x-2.....(2)

Q: -4 -2 3 -2 -2 -2 -7 2 -6 Ax2 6 1 12x2 1

A: Complete the given calculations to verify that λ1, λ2, λ3 are the eigen values of A and x1, x2, x3…

Q: 2. у %3D2х - 3; (-5, 3)

A:

Q: +15%+ 5x+ -4X-11y-41 =-26 412こ-26 -7 3-11Z ー

A: the given system of equations is  5x+15y+56z=35-4x-11y-41z=-26-x-3y-11z=-7 Write the equations in…

Q: (5) ary (6) 4ry" +y = 0 (7) y" + ry + 4y = 0; y(1) = 1.(1) = 4 (8) " - Sry + 13y = 0

A:

Q: -8-7-6 - 5 -4 -3 -2 -1 8 7 6 5 4 3 2 1- 0 ل -3 نا 2 3 4 5 6 7 8

A:

Q: ++ -> -6-5 -4-3 -2-1 1 2 3 4 5 6 x -1

A: From the graph, we can conclude limx→4+f(x)=-1 limx→4-f(x)=-1

Q: -4 -1 4 C = -9 6 9 10 -7 20 =

A: The explanation of answer as follows

Q: How do I determine the range?

A: Given:

Q: Ay 5-43-2-1 2 $ 4 -2

A: Topic:-  equation of line

Q: -8 -7 -6 -5 -4 -3-2 -1 0 1 2 42. +++++ -7-6-5-4-3-2-1 0 1 2 3 4 5 6 7

A: To find:- Absolute value equation or inequality represent number line

Q: 10 7 y -8- 7-6 -5 -4-3 -2 4 5 6 7 -2- -4 8- -10 2. 1. 6. 4, 2. 6,

A:

Q: у"-2у-Зу %3D 4х —5+6хе*; у(0)--1, у' (0)-2

A:

Q: Ay 10 -10 - 2т

A: Graph of  function is

Q: O PLU of A -2 3 -6 9 1 3 A = 2 3 1 4 1 1 -2 2 -2 which Ronis are switched ?

A: In this we do change the given matrix in echlone form.and find a matrix which has rank 4.

Q: 2. (у")3 — 5х(у)" %- е* + 1 3. у" - 5t?y' 3 et +1

A:

Q: Ay 20 10 -6 -3 3 -40 -20

A: In this question , we can find solution set for which values of 'x' ,function is zero , function is…

Q: 2- .....*. -5 -4 -3 -2 A (-2, 2) C (2, -2) В (4, 3) D (-4, 0)

A: From above shaded region it is clear that

Q: 4 -12 -1 -3 nt -1 9 2 -4 -1 2 -6 -3 8 3.

A:

Q: 3 fin [ ха Txx² 2 - 1/2 to

A: To evaluate: ∫13lnx21+x212dx=∫1312lnx21+x2dx=12∫13ln x2-ln (1+x2)dx=12∫13(2ln x) dx-12∫13ln(1+x2)…

Q: 17. 4х? -6х-4 18. 6х*-9х-6 19. -9х -24х-16

A:

Q: 5. +y=ye-² (ve-²) ³ Ans: - e* = ce³x

A: Let us solve the given Ordinary Differential Equation in the next steps.

Q: こも-2a) + but-

A:

Q: -4 -3 -ス - 1 -2 Undefined 2 6 -5 -4 -3 -2

A:

Q: 31-35 fx) = - 2x+4 [-2,2]

A:

Q: 3 由 -9-8-7--5-4-3-2-1 1 2 345 6 -1 -2 7 8 9 -3 -4 -5

A: We have to find the discontinuous points.

Q: 15 4 -4-3 -2 4 2- -3 3.

A: Accordimg to given graph a. As x→-2-  fx→∞b. As x→-2+  fx→-∞

Q: -5-4 -3 -2 - 1 2 -1 3 4 5 -2 -3 -4 -5

A: given graph, we have to find which equation best represents the relationship between x and y.

Q: (-3) + (-2) – (-1) O 4 6. O -4 -5 O 5

A: to find the following expression (-3) + (-2) - (-1)

Q: %3D 11. y 12 10- 8- 9- -4 2 3. 이 12 3 4 56x 2.

A: To find the identity 11) 14)

Q: -10 -8 -6 -4 9 6 -6 -9 y 2 x 4 6 8 10 to

A: Find the equation of the hyperbola

Q: 2 12. aj = a2 = a3 = 2 8 -7

A:

Q: -8 निर्मा -6 -5 -4 9 -1 -1 -2 2

A: The solution is given in step2

Q: 7. y y 5. 4 13 -54 32-1D 21 3 4 5. 54 3 4 -2 -3

A:

Q: AY 42 -12-10-8-6-4 2 2 -5,-9)

A: Consider the graph

Q: AY 10 8. -2 -1 -4 -6- -8 -10 ++- 642

A:

Q: ( 4 + -9) ÷ [ -10 - (-5)] • (-2)

A: Given,          4+-9÷-10--5·-2

Q: 2(x*y*)* 8,,9 2x®y9 16x®y ,9 16х16у20 2x16у20

A: This question is related to algebraic equation.

Q: 4- -5 -4 -3 -2 -1 4 to

A:

Q: 4. 시4,-1) B(2.5) 5. Al-3. 7) B(4. .5)

A: Our Aim is to find the distance between two points given below:-(4) A(4,-1) and B(2,5)(5) A(-3,7)…

Q: 12. y"- - -3, 2y-3y- 0, y(4) y'(4) = -17

A: As per the guidelines, I am supposed to the first question only. Kindly repost the other questions…

Q: Llaldx = 1. 4 2. 0 3. 3 4. 5

A:

Q: (-3.3) 7 6 5 4 3 2 (-3,2) 1 -6 -5 -4 -3 -2 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 5 6 7 (2)

A: Given Data:- Here point (x,y) is unknown so we should find it.

Q: -5-4 -3 -2 -1 1 4 -5 4 -3 -2 -1 1. 3 4 -2 -1 2 3 4 -4 -3 -2 4 5

A: To find: Inequality for each of the following   see next page for answer