Civty TB 1. c = 2. а 3. 2x? 4. -5х 5. х + 6. х?—

Q: 14. If- = 5%, then ба %3D 56 (A)6% (B) 25% (C) 30% (D) -%

A: Given; if a/b=5% then find 6a/5b.

Q: Find a + b, 2a + 3b, Jal, and |a - b|. а %3 (4, -3), ь - (-2, 5) a + b = (9,2) 2а + 3Ь %3D (2,9) |a|…

A: Here given as

Q: aj = 9 and an = - — Зап-1 5 then find the value of a5. -

A: Given query is to find the value of a5 .

Q: (3 + i) is equivalent to i^29 + i^21 + i

A: Complex number is of the form a+ib, where a and b are real number. In complex number a+ib, a is…

Q: 2. If y = xlnx,

A:

Q: V and llull=1, livll=3, ten (2u -3u)•(3u+2)= -12 24 NUNE

A: Given query is to perform indicated vector operation.

Q: (x? — 2х — 3) у" +ху'+4у %3D 0; хо — 4, Хо 3 — 4, хо — 0 Хо — 4, хо — - 4, хо — 0 |

A:

Q: cial right tri.PNG 5. 14 30 y x = y = -

A: Using trigonometric ratios.

Q: WEND DI6 he Fameter and = 25°. 70 25° (d

A: By using the property of circle

Q: (b): Evaluate: SS (16t³ – 12t² + 5)dt

A:

Q: 15. Calculate (41 + 3, r?. –4r³)dt.

A: To calculate: ∫034t+3, t2,-4t3dt Solution: Power rule of integration states that: ∫xndx=xn+1n+1…

Q: cermine which expression has ag -12+6 4 or - 34-3+39 21 3 +8 or-14+31-6

A: Use the rules of addition and subtraction to solve the following problems. Read the rules carefully…

Q: 6.,7 Simplify Væ°y?.

A: The radical xn is expressed as (x)1n.

Q: true false Answer Bank 1 - Xb = - X b Xb = + b (ab) (a × b) (аx b) a a a - ()-

A: a)      1ab=1axb    Let a=10 b=5      Let a=5   b=10      1ab=1axb                  1ab=1axb…

Q: | If 4 1 Au 3 and Av = -3 -3 then A(2u + 30)

A:

Q: 1 Sn-? S-? 3.4 4.5 (arz) (n4)

A:

Q: Ex. 6 If y(1)=12, y(2)=15, y(5)=25, y(6)=30 find the value of У(4) %3? 1 5 y 12 15 25 30

A: Legranges interpolation, to find the function value at point

Q: У-10у, + 10у2 + 5 98 20 y'2 = -Y1+5 ½ +3 y', 10 31+15½ %3D

A: In this question, we solve the non-homogeneous system of differential equation

Q: Solve: х? — 7х — -12 O x = -3, 4 O x = – ¤ = — 4, 3 х —D — 4, — 3 %3D Ox = 3, 4

A: The given quadratic equation is: x2-7x=-12

Q: yi + yi = 1, when x = 0, y = 4

A:

Q: 11) through: (3.-2). perp. to y 5xr + 4

A: Given,            equation y=5x+4            slope(m1)=5

Q: O COsZ Sc (5 dz T. 4 2

A: Consider the equation, z-π2=1 This equation represents a circle plotted on the Argand Plane, with…

Q: (а) {(E)) За + b : а,bER b 4 а | (b) а — ь b — с - : а,b, с € R - с — а

A:

Q: T = (5, 7, 3, 8, 1) %3D 4. II *: =? Xi i=2

A: ∏i=24xi=7×3×8         =168

Q: AX, = -2 3. 2. 2. 2. 3.

A:

Q: 4. 24andZ6 are: 8. rnate Interior Linear Pair Same Side Interior Same Side Exterior LJ

A: Using interior angle formula we have

Q: Evaulate: 2 (5æ*y?)d.rdy

A: Given that, ∫02∫0y5x3y2dx dy

Q: et 2. y [0, 2]

A:

Q: 41oHo α2 4lodor 1 2α2 4lolor), 12 2α2| 4πα2 72 lolor παζ - 2α2| B2mr = Β2πι B2π = Β B = B = 1 2 14…

A: why does r^4/4a^2 gets to be r^2/2a^2?

Q: 5. AKLM with K(1,-3), L(4,1), and M(7, 2); translate left 5.

A: We have coordinates of the triangle K(1, -3), L(4, 1) and M(7, 2)   We have to translate left 5…

Q: Given 0≤θ<2π, solve 2cos^2⁡ θ+3sin⁡θ=3. π/2 , 7π/6 , 11π/6 π/6 , 5π/6 7π/6 , 11π/6 π/2 , π/6,…

A: We have been given an equation  2cos2θ+3sinθ=3      (1) We have to find the value of the angle θ

Q: a² + 2ry – y? + 2² = 7, Po(1, –1,3)

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Q: -4 = 1 -15 15 O d -9

A:

Q: (c) (4, -77/6) (x, y) = y y 1 2 3 4 5 6 7 3 -1 2 -2 -3 0-7 -6 -5 -4 -3 -2 -1 y 2 4 8 -1 5 -3 3 2. 9,

A: Given : (4, -7π/6).

Q: If Ix I &gt; 4, then x 2 &gt; 16.

A: True or False if x&gt;4, then x2&gt;16

Q: 21. x2/?. 22. (7x )3/4 2:3. (10 a?)/2 24. n-4/2 25.(5 y)/3

A:

Q: first of a c-d

A:

Q: If [3-2 fro] dse =15 Then

A: Evaluation of the definite Integrals,   by using properties of the definite Integral

Q: 14) 4cot? 0 = 1 + cot? 0

A: This question is related to trigonometric equations, we will solve it using given information .

Q: Solve 6cot0 – 11coto – 10 = 0for 0° < 0 < 180°. O 16.0°, 115.6° O 21.8°, 123.7° O 33.7°, 111.8° O…

A:

Q: 5 Gin Ococodo sin 20 + 3rino-4

A: We will find the integral using the method of substitution.

Q: If = 2,=-3,= 5, llu|| = 1, v|| = 2, ||w| =7 Evaluate .

A:

Q: х? Vasti da сод 3х лепи 3х да 3 +15

A:

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

A: This question is related to algebraic equation.

Q: 5. Determine S 1 dr Vx? – 3x +5 (i) 1 dr 63+4x 4x2 (ii)

A: Solution

Q: /3 and 6 b. 22 and

A: Here I am attaching image so that you understand each and every step.

Q: U Sing Ele men メ+y+22=) 2x +4y-37 =1 3X +6y-5%=0 フ

A: The given system of equation is  x+y+2z=92x+4y-3z=13x+6y-5z=0 Consider the augmented matrix as…

Q: 2. If Ā = ê + ŷ, B = 2â – 3ŷ + 2 and C = 4ŷ – 32, determine %3D (a) (Ã × B) × Č (b) Ã× (B × Č)…

A: