2) If Ø(x. y. z) = 3x²y – y°z² , then vØ = a)-12i-9j-16k b) 12i-9j-16k c) -12i-9j+16k 3"+2" 3) the sum = 5n 25 c) 25 25 a) = 3 6 2

Q: vdor (2,1,3) be the {1,)1), (1, 2, >).(O, 1, 0)1 be the {ll,),l), (1, 2,3).CO,1, 0)) linear…

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Q: If O be the origin and OP = 2i+ 3j - 4k and OQ = 4į – j – 3k, then PQ is equal to %3D %3D 3i +j+k 2i…

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Q: 2. Cuven that 7, = -2 +ui, Z= -2i + 3 and E, - |-i. Gvaluate the followshng %3D 2 | 국 2

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Q: Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points…

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A: Note: As per our guidelines we are supposed to answer only one question and the rest can be…

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Q: 13. In AMNP, if mZM = 4x - 3, mZN = 9x-6, and m/P = 6x-1, find x and the measure of each angle. %3D…

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Q: Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points…

A: Given:X≡4,4Y≡-12,-4Z≡-6,9The epicenter of an earthquake is determined to be 5 units from X​, 13…

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Q: Chapter 13, Section 13.6, Question 001 Find Duf at P. S(x, y) = 3(1 + xy); P(1,3); u = Enter the…

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Q: 6.13 Show that t: = B,/[s//E=, (x;- %3D VI- r in (6.20). |

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Q: 7.A= pVa +qVE +rVc ,B = Va Va-b b. If A=0 prove that, ap + bq + cr' = 3apqr where a be c. If a? = b'…

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Q: and Z , if y=0 Solue %3D By using Direct melh oel.

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Q: iP fca)ex+s and gixjex?-3- find the folllowiny D Rc fext

A: a)         f(f(x))=f(x+5)           =x+5+5           =x+10

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: (b) Compute r if: arctan r + arctan 1 = 2 ( arctan z arctan

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Q: 18, where 1, 2, 5. Consider the solutions are there uation 2i Eg + Tg + Tar uovenba (a) if z1, r2,…

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Q: If x,y,z are real numbers satisfying the equation 25 (9x* +y° )+9z²-15(5xy+yz+ 3zx )=0 then prove…

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Q: Find and when (TU – V)² In(W – UV) = In(2) at the point (T, U, V, W) = (1, 1, 2, 4).

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Q: 7) If A = xz³i – 2x²yzj + 2yz*k, find VxA at the point (1,-1,1).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.

Q: 1. MATH is an isosceles trapezoid 1. 2. MH AT 2. 3. MA = MA 4. AH MT 5. ΔΗΜΑ ΔΤΑΜ 5. 6. ZMHA = ZATM…

A: Given query is to give the reason for the statement.

Q: From Be helie angle, ZA- No ma 9=ZAt Zる 2.comp Module ma ZA= 4 Vto Z8 Lt ZA k 2-55 ZB cosp

A: Yes it is possible. Multiply and divide the numerator of right hand side of equation by ZB. Given…

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Q: 7. Trapezoid ABCD has bases AB and CD. If AC and BD intersect at X, then AAXD and ABXC are ?…

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Q: 16. If ZSTU = (13r-6)', mSU = (21x + 8)', and mUT = 143', find mST. %3D %3D %3D T.

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Q: Derive pz, 192. sjt9z, Hz(t), ez, čr: directly , if X ~ U (0, w) with r = 20, n = 30, w = 100. %3D

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Let V =(1,2,3,4),V=(0,2,t,3) and w=(!,!,,1) 1. Find t so that u t v and w are to each other. or…

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Q: 11T |13T V2 - V6, determine the value of sec 60. Given that sec 12 %3D 12

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Q: 1),Given: AB || CD; AC 1CD Find: x and y A, ax ay by 4,

A: Here given as Given  CD||AB Also given ∠ACD=90Then∠CAB=909x=90⇒x=10

Q: Find u(x, t) which solves the problem Utt = 9urr -00 < x < o0, - 0 <t <3; 1 u(x, 0) = 1+ x2 Ut(x, 0)…

A: D'Alembert Solution;    u(x,t)=ux,t=12f(x+ct)+f(x-ct)+12c∫x-ctx+ctg(ξ)dξ where u(x,0)=f(x),…

Q: B a. In the figure, if AX = (3x + 1) cm, BX = 4x - 1 cm, AY = 4x + cm, YC= 5x-1 cm and x = 2, prove…

A: SOLUTION-

Q: 5. If 4=2xy į +3x°y -3pyzk is solenoidal at(1,1.1). Find p.

A: DivA=0

Q: 2. ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and…

A: △ABC is equilateral triangle,  AB= AC = BC = 3 AQ= CP = 2 ,      BR=1 QC= AC - AQ        = 3-2 QC…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.