r(;)"(;) 3 4 V2/T Option 1 2/V Option 4

Q: +2x-15 Inkx + 51 -inlx- 31 +c In]x+51-Inx- 31+C Option 1 Option 2 |(x + 5)°| +C (*+5) +C *-3 Option…

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Q: 17. 1 +3 dt 18. 4t2 + 9 dt 19. V1- 16t2 1/5 dr 20. 1/5 V4-252 dt 21. 5-3t2

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

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Q: in2 tns 2x-y „Ans.s. 6. 3/2

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: %3D 31 +8y= -9- -1

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Q: Show that the set is an orthonormal basis for R3.

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Q: 5. y>|x - 21 y O 7. x-3 ≤ y ≤ x +4 YA la S II 6. y ≤1x +4 Ins 8. -4≤x-2y < 6 x

A: See this solution in below.

Q: 2nd deivative vong impliat dipperentiation x'y +y*x = X. -2

A: We can find the 2nd derivative of the given expression as below

Q: 3 Let A = -6 -1 -2 and v = -6- -2 3 Av = -6 2 -9 Ex: 5 s v in null(A)? Select an option

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Q: Ave the following fancEions contindous FCx)sメーZ メー2 てト=メ 1P 2) FCX)s X 3-5X +7

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Q: ü-v² + | ü×v|² = ||²||² (1+ |ū ³²) (1+ | v |³) = [1-u.v

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Q: 43. The U.S. government wants to determine whetherimmigrants should be tested for a contagious…

A: Given: Assume that each immigrant who is allowed to enter the United States and has the disease…

Q: 31. x2 + 2x - 12 = 0 34. 2x + x - 3 = 0 37 3x? - 6x – 9 = 0 40. x2 - 6x + 18 = 0 43. 2x? - 7x = -12…

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Q: Зх + у- z %3 = 11 = 13 х+ у-3z %3D 11

A: Given,          The system of equations are             3x+y-z=11              x+3y-z=13…

Q: 19. x = (y + 2)³/2, 0 s y s 4

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Q: [ -2 ; 5) -3 &lt; x &lt; 1 x &lt; 17 [ -3 ; 4) ( -2; 6] 2(-4-5) (8-15+3)(12:6-2)

A: To evaluate the expression involving absolute values

Q: S 6(1 – y), 0<x <y<1 (.) - {0, elseubere x, Y elsewhere

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Q: 3 f(z) = zº ; S = {z EC: |z| ≤2, Im z ≥0}

A: Follow the steps.

Q: ー1 -2 -1 A2 2 ३ ५ 6 12 6 3 -2 3 '5 10 i) Riud raulk of A ) Raulk of B- ) Rauk of AtB. iv) Reule of )…

A: a) The given matrix is A=11-12-343-23. Row operation: R2→R2-2R1 and R3→R3-3R1. 1-110-12010 Row…

Q: Evaluate (A) •S= (в B 3x5 3x4+6x³-3x² - 6x x² - 4x 2 x² - 4x 2 x² - 2x + In 2 D x²-2x-In (x-1)…

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Q: 1O CLASSFLOW Page 19 of 4 10. x- 2(r- y) –? ifx = -3, y = 4 and z = -1

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Q: 9. at eab the 2a 3b gz ub ax

A: The detailed solution is as follows below:

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: EXample: EXplain whz the fuuchion S2=-27-3j-2e te iseubire- 2- 3.

A: Given function is  f(z)=2z3-3i-ze-z+ez we have to show that its an entire function.

Q: P(−0.24°C<x<0.37°C)=P(−0.24<z<0.37)=

A: Solution: The probability which is needed to calculate is…

Q: 1+ K(s+4) %3D s(s+2)(s+5) K = - 3+75²+10s %3D s+4

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Q: Pleae Sotve the integet X+)V2a+1

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Q: 31. x - y = In y; (1, 1)

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Q: 6. %3D (5V2a + vb)(V32a 5.- – V4b) pnoie peƏ age

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Q: P(0°C<x<2.27°C)=P(0<z<2.27)=

A: Solution: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: d HI (8q5 – 209) dq = 0 dq [J-11

A: We have to says that the statement ddq∫-1118q5-20qdq=0 is true or false.

Q: Find the real solutions of each equation. Verify your results using a graphing utility.

A: Given equation is: t4-16=0 Solving we get, t22-42=0⇒t2+4t2-4=0⇒t2+4=0  ;   t2-4=0⇒t2=-4  ;…

Q: 14. Integral 2 dt 31-4

A: Given, ∫23t-4dt

Q: homogenous DE 3udv-vdv-udu-vdu=0

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Q: \00(X-I\+\Dq{(x+z) 티 1oa(x+2)=1

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

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Q: (4) (3) (4) e. y = 4x³ (2x + 7) 4 f. y = 1 5√√(3-15x)³ g. s = 8cos (4t2 +9) ...determine s' s'(2)

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Q: 2) 3) 1) 6 + 4 5 = 2 2 - m 4n = 12 4) 5) 6) 4r <8+9p 8 = 7x-6y a 6 7) 8) 9) Зysz 2x² +3x-6 -4s…

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Q: S dt e2t 6-2e²t

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Q: Use the matrix P to show that the matrices A and A′ are similar.

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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: 1. V32m1ºn15 2. V25b2 3. V36t2 4. V50x3 5. V162x5 6. Va*b? 7. -8a6 8. 9. V4x2 10. V1Z 11. V54 12.…

A: Since, you have asked question with multiple subparts, we will solve the first three for you.(1)…

Q: (u* + v*)du – uv'dv = 0 1 u-5 O Option 1 O Option 2 1 u5 O Option 3 O Option 4 1/8 1.

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Q: (2). By Contrapositive: “V n e Z, if 3| (n² + 1), then 3 ł (2n² + 1)."

A: Solution:

Q: et J ((et + 4)²-9)³/2 9)³3/2 dt.

A: See the details solution in below

Q: 21=6=0 +21= x 50 ' x - 21 = 2 :S +2)ds, WHERE S √√(x-6y + 2) ds EVALUATE

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Q: 4 If fx> 0o ag x>a<, does fw→ 01 ven example to explan your state ment

A: Given: limx→af(x)=∞ To check: limx→af'(x)=∞ holds or not.

Q: 2 Г Ау2 - 7у - 12 dy л УСу + 2)(у — 3)

A: we have to find the integral