) Determine values of a nd for which the plones the 2x -y +32 -1-0, X+2y -2+b=O, X+Qy -62+10=0 @) have point conmon b) pass 方rough the straight line some c) iう tersect three distirct nd porallel lines.

Q: ) Use shifting graph to sketch a) y+2 =|-3 + vx| b) y = -1+ 5sin (2x)

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Q: In Cartesian space, line segment P¡P2 has endpoints P(-2, 3, 5) and P2(2, – 1, -7). a) Find midpoint…

A: Since, we have been given up the endpoints P1(a1,b1,c1)=(-2,3,5)and P2(a2,b2,c2)=(2,-1,-7)Therefore,…

Q: a.) Evaleiate. (6tanx dx

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Q: Q: Find A least-sayvares solutions of Ax=b 1 -2 3 - 1 2 O d 3 ", 5 : دا 1 -4

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Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: 11a) Are the two lines parallel? Show work 4 (3, 2) -30] 2. (5,-1) 【け1.-B12 2

A: Given: Co-ordinates of line l1=(-3,0) and (3,2) Co-ordinates of line l2=(-1,-3) and (5,-1)

Q: a) Three Sets Å, B and c. EXER:2ト_xS Ex ER: X S 23 EXER: -2 Ź x <3} Fallaws. 4. are A = R £QUIRED…

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Q: ) Determine the values of a nd for which the plones 2メ -y + 3€ -1-0 X+2y -2+b =O, * +ay -62 + 10 =0…

A: Given: Three planes, P1: 2x-y+3z-1=0P2: x+2y-z+b=0P3: x+ay-bz+10=0 We have to find a &amp; b for…

Q: 23) Perform the operation, then simplify.: * 8s³ 10s7 25s 32s 14 A) S/1. 2 C) E) A) B) 20 D) OE) 516…

A: we need to find out the correct option.

Q: (e) for tue ginen point in poler coordiinetes , fird tue comespandy ctenquler Coorelinetes fer tue…

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Q: Find flath), 8 the difference qudtent Flath)-flal" where h70 fla)=7-5x flal= Clath)= flath)-flal %3D

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Q: Given, X - 3y + 2z = 0 X+y + Z = 2 X -y +z = 0 Use Cramer's rule to solve Dy and Y

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Q: Which describes the so5 y>-15 ? A) solid vertical line through (0,-15) with shading to the left of…

A: y&gt;-15 Since the given inequality is a strict inequality (Strictly greater than sign), therefore…

Q: 35. If the distance between the points A(-2,4) and B(x,-8) is 13, what are the possible values of x?…

A: distance AB =(-2-x)2 +(4-(-8))2 13 = (-2-x)2 +144 169 (-2-x)2 + 144 (-2-x)2  = 25 -2 -x =+ 5 -2 -x =…

Q: Q5) If the line passing through the points A(1 – a, a – 2) and B(a + 3, a) is perpendicular to the…

A: Given the line through A (1-a,a-2) and B (a+3,a) is perpendicular to the line (x/2)+(y/5)=1. We need…

Q: fiz)=-9.and f-7)=0 find value if a and 6 Carren fl-7)= -3

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Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C…

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Q: a) Find. the domain.of.f) -b) Find if it. ex13ts, x-,y-intercepts. - S Find if erists, the hortal…

A: Given: fx=x2+2x

Q: The point of intersection of y = x² + 6 and x = 2 is ... A) (1,8) B) (2,8) C) (2, 10) D) (10, 2)

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Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

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Q: Question 10 Find y" of +9y-36 16 A) 9y B) 4x2-y D.

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Q: How many x-intercepts does the graph of y = : x² have? A) B) 1 C) 2 D) 3

A: We will solve the following.

Q: 3xy 8) 2.x1. 4yx² 10) (2m *)

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Q: Solue the inew ua lity 12zx+5]z/2-Sw show also He setls) . Soution neimbe8 Line

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Q: 3) Use the f'graph drawn to find where fis: a) Increasing/decreasing b) Relative max/min c) Concave…

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Q: 9) Find the perperdicular distance between X+24+32=5 -42=10. Xey+22=12 -32-25 and 2*+39 b)Find its…

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Q: Let x be any real number. Also consider the numbers z = -2i(5 – xi)² y w=1+i, , then the value Im of…

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Q: F(n) =3 Cn-2) C2n+2) Cn -7) For Funchon given 1) Determine the domain 2) Determine the range 3)…

A: Topic - domain ,range and intercepts of function

Q: Prove that quadrilateral EFGH is a parallelogram

A: Step 1: **Given Information : *** The parallelogram we have is UVWX. The midpoints of each of the…