b) –5x + 3 > 8 6 –5 –4 –3 –2 –1 0 i 2 3 -3 - 2 4 5 6 |

Q: 13. 5(6 – 4v) = v + 21 31AC STAG 14. 6y - 5 = -3(2y + 1) esiti

A:

Q: 6. Let [√16-X² Find y(2√3) 16-x? 2 16

A:

Q: 7 Evaluate using Convolution theorem: L-¹{²(²+4)} 2

A:

Q: 1. y = e9r-5 2. у — 2л In(z + 2) 3. у %3 (2л — 5) 1log (3z? - 6x)

A: The solution for the above question is as shown below.

Q: 1 2 0 0 2 0 0 2 0 0 plain why span M2(R) 0 4 3 4

A:

Q: z(z+2) (z-1)(z-3) -1) - 12/3¹u(-n- -n-1) 9 3> z> x(n) zu(n 312 Option 4

A:

Q: 2 If C = |2 -1 0 Show that (C")-1 = (C-')" -2 2 2

A:

Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

A:

Q: (-2, 4) -6 -5 -4 -3 -2 1 2 X Expand Image 6. 2. 2. 6. 6. 4. 3.

A: (1) From the figure, we get the center of the first circle as (-2,4). As this circle is passing…

Q: 3 4 m22 = m24 Z1 is supplementary to 22 23 is supplementary to 24 m22 = 4x + 5 m24 = 2x + 15 Find x…

A:

Q: b 2x 1! + 5x 2! + .+ (nt + 1)п! %3D п(п + 1)! + 10 x 3! + .. 2 3 + .. 1 n 1 + + + = 1 - 2! 3! 4! (п…

A: (b) Case 1 : n=1 2×1!+5×2!+10×3!+...+(12+1)1! = 1(1+1)!2×1! = 1(2)!2 = 2 Therefore, the result is…

Q: 4. 7- (8n – 18) = 14 – 10(2n – 3) %3D 2

A: We have to simplify the given expression.

Q: 17. 2*= -4y – 12 %3D 8. 4 -8 -4 8 -8- 4. 4,

A: As per our guidelines we can answer only one question, kindly please repost the remaining questions,…

Q: 2. + -+- 1.3 3.5 5.7 + + 1 n (2n-1)(2n+1) 2n+1

A: As per guidelines, I can do first question only.

Q: 1. Write out the dual of: a. Min 3xl + 2x2 + x3 s.t. xl + x2 - x3 = 4 2x2 + x3 < 7 -xl + 3x2 2 6 х1,…

A: The given LPP is: Min 3x1+2x2+x3 Subject to x1+x2-x3=42x2+x3≤7-x1+3x2≥6x1,x2,x3≥0

Q: 2х + Зу + z %3D 4 Зх 3x + Зу + + z 8 2х + 4y + z %3D 5

A: Here is the solution of the given problem. By using matrix inverse method.

Q: solve the polynomial equations byfactoring, and check the solutions graphically.

A: "Since questions with multiple subparts are asked, we are going to solve the first three subparts…

Q: * Q1 [X1 x2 If 3 [x3 X4] 2 X1 + x2 -1 4x4 [x3+ x4 1. x1 = -2, x2 = 2, x3 = -2, x4 = -3. = -3 2. X1 =…

A:

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: -5 1 O y =x + 3 1 O y=x -3 | O y = 2x + 3 y = 2x – 3 5,

A: The graph given is

Q: 4= Acosu +Bsiox and y(a)-5 thenA=-

A: Substitute x=π in equation y=Acosx+Bsinx. y=Acosx+Bsinxyπ=Acosπ+Bsinπ ⋯ (1)

Q: 11. | —4х| =32 %3| 14. |Зх + 4 -3 %3D 17. у - 5 - 2- 10

A: Answer and explanation is given below...

Q: 18%3D 0.5(6е - 12) 6e-12

A: Solve: 18=0.56e-12 And check f=18=0.56-12

Q: Prove 2+4+8...+2n=2n+1-2

A:

Q: Suppose z1 = 2+j, z2 = 3-j2 and z3 = -+j. Evaluate 23+2-5-1 2-+3-3 %3D

A:

Q: How Find 7.J {()= 2(-1)* u(k-1) に、 Ans: 2Z

A: This question is related to Z-transform , We will solve it using given information.

Q: Q2.2 Compute 3 -7 2 3 3 -3 det 3 -8 2 - 3 2 2 (Entor the

A: according to the guidelines we should able to do only one question at a time #2.2

Q: 17n + 22 = -23 + 2n 15 -3 0 5 0-2등

A: (6) To solve: 17n+22=-23+2n Solution: 17n+22=-23+2n17n-2n=-23-2215n=-45n=-4515n=-3 Therefore,…

Q: 10 8. 2- -3 -2 -1 1 -4 -6 -8- -10 Co 64 2N

A:

Q: Solve 9tan(20) – 3/3 = 0 exactly on 0 < 0 < 2n. л 7л 13л 19л 0 = 12' 12' 12' 12 5л 11л 17я 23л 12'…

A: Given that 9tan2θ-33=0  and  0≤θ&lt;2πSolution :9tan2θ=33tan2θ=339=33=13tan2θ=13…

Q: 6.) Statements 1. 2x + 12 = 5x – 3 1. 2. 12 = 3x – 3 2. - 3. 15 = 3x 3. 4.5 =x 4.

A: Simplification

Q: 1. у %3D 4x2 — Зх — 2. 2. у %3D 3 + 4х — х2 3. x = y* – 2y3 4. y = 1 4. у з х+7 Зх-1 5. у %3D 2х+5

A:

Q: Prove 2(w° = 2 3

A:

Q: 6. у%3D (3х + 1)8 a. y' = 24(3x)7 оъ. у %3 3(24х + 1)" О с. у'3D 24(3х + 1)" O d. y' = 8(3x + 1)7

A:

Q: -5 ष -3 -2 -IX 10 5 4 45 CON 7 A -4 -5 -6 + 2

A: Given graph:-

Q: Evaluate * (1 – x²)3/2° 1 + c 3 1-x2 -1 + c /1 – x² O Option 4 Option 2 2 1 1 + c /1 – x² :+c 3 V1-…

A: ∫ xdx/(1-x2)3/2 here assume that  1-x2 = u -2x = du/dx xdx = -du/2 ∫ -du/2u3/2 ∫ -u-3/2du/2 2u-1/2/2…

Q: [2 2 2 4 = |2 2 mat Lo 0 1] 23-52²+ 41

A: The given matrix is 222223001To find its characteristic equation

Q: 11. 6v + 38 < -4 or 2(v + 3) 2 -2 +++++ -8 -6 4 -2 0 2 4 6 8 Interval Notation:

A:

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

Q: 2х — у %3D 4 11%3D у — 2х + 5 -

A:

Q: Prove that the expression 2y2 - 128 is equal to 2(x² + 2) (x² – 2) (x8 + 4x+ + 16) Swer:

A:

Q: 2.2 Use algebraic manipulation to prove that (x +y) · (x + y) = x.

A: As 2 Questions are given, I will solve only the first, We need to Prove that: x+y(x+y¯)=x Solving…

Q: 2. Find |A-'ATBA-1| where -2 1 4 -1 -4 -1 1 3 1 3 В — 5 -1 1 -1 7 2 -1 -7 1 4 -3 7

A: Recall that, |A|=|AT|, |A|-1=|A-1| and |AB|=|A||B|.

Q: 1. Statements 3x+7=13 Given 3x+7-7=13-7 3x = 6 Зх 6 3x 3 3 x= 2

A:

Q: 13) +2=-1 x-6 14) -13 = 15) -9- 6n = 93 16) 0= *+ 7 1 2.

A:

Q: The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or…

A: 105. We know equation of a line in slope intercept form is given by: y=mx+c,Where,m=slope of the…

Q: Since n.n=1 and n-n2=(2/2)/5 then n3 +3/5 %3D

A:

Q: n|3 – x| ++: + + In|2 – x| + C - In/x – 3| - + In|2 –x] + C 3-r 2(3-x) x-3' 2(x-3)?

A:

Q: b If K = 4.1 x 10-6 then pK, Submit

A: This is a basic log problem

Q: 11 .7. Determine: / 3 (2 – 5x')"(7xº – 15a²)dr J 3x+5

A: We will evaluate the given integral.