(a) Express the vector a × b in the form aa + 3b + yc, assuming that the vectors a, b and c are not coplanar.

Q: (c) Prove the inequality I +y +x > Vryz 3 if x > 0, y >0 and z > 0.

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Q: Benjamin bought tokens at a funfair. He used of them at the ring-toss booth and of the remaining…

A: Let x is the initial number of tokens. after ring toss  x-38x After Dart Booths…

Q: 2. Evaluate the vector line integral · dr = ₁ F.Tds where F(x, y, z) = (ez, ex-y, ey) and C is the…

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Q: 3 Find the antiderivative of: a 6x²+4x by differentiating r3+x2 e3z+1 by differentiating e3+1 Va by…

A: Just differentiate the said term and then integrate both sides.

Q: Rewrite the equation into the form y=a/(x-h) +k and graph it g(x) = 9x-3 X+7

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Q: 2. A single factor experiment was performed for 4 levels of the factor with 8 replicates. It was…

A: given y1¯=15 , y2¯=11 , y3¯=13 , y4¯=18 , MSE=4 two contrast τ1=μ1-μ4τ2=μ1-μ2-μ3+μ4 explanation…

Q: Which of the following equations are exact?

A: A differential equation of the form  called exact if and only if .

Q: 3 dy find dx If y = 6x+ 5. x=1

A: We use the derivative formula     ddxxn=nxn-1

Q: 14. Find a function whose tangent has slope 4x+1 for each value of x and whose graph passes through…

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Q: I need help with this complex variable question

A: a) our assumption that there exist two distinct limits L1​ and L2​ is false, and thus, the limit of…

Q: (1) Use quantifiers, logic symbols, and English to translate the following: (a) Every positive real…

A: (a) Every positive real number has a positive real square root.       ≡ ∀x ∈ R>0 , ∃y ∈ R>0 ,…

Q: A down payment of $4500 is needed for a car. Money will be invested at 9.2%/a compounded bi-weekly…

A: Given the interest rate 9.2% and the time period is 3 years and the amount is $ 4500. Interest…

Q: (a) Show whether if 0<x <1, f(x) = 2 - x if 1<x < 2 is a Dirichlet function.

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Q: Fint the morea the hegion Renclosed by the eurves メーー3 メニ2 ースースx

A: The area of the shaded region is the difference between the area of the entire polygon and area of…

Q: 34. True-False. If the assertion is true, quote a relevant theorem or reason, or give a proof; if…

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Q: Write an equation of a cosine function for each graph. 10. 11. 12. 4- WAAAY WAAAM 27 37

A: 10. Consider the given figure: At x=0:y=-5……1At x=π2:y=0……2   To find: Equation of cosine function…

Q: 3 √(2x + 1) = 20

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Q: -8x It can be shown that y₁ = e³ and y₂ = e` are solutions to the differential equation d'y dy +5-…

A: The given differential equation d2ydx2+5dydx-24y=0 on (-∞,∞)with given set of solutiony1=e3x and…

Q: 5. Find a spanning tree for each graph. You should trace it on the graph itself. h b b c a a a b d…

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Q: (îi) If y dy sin h x, find dx

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Q: Additional Activity: Fill in the answer on the space provided. Given: if 27= 120°; 43= 30°; 24= 30°…

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Q: Fifty-five percent of consumers prefer to purchase electronics online. You randomly select 8…

A: Let p be the probability that a particular customer prefers to purchase electronics online. p = 0.55…

Q: Simplify the polynomials by Combining the like temms and äccanee the polynomial in descending order

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Q: (c) 1(3-iz)리 on l리<1 (d) 15 + 2iz리 on |리 < 1

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Q: 2 6² 1) △ 블+ov DA + 8√√√1+(8²/4) 름 + = girl cz 3) MS=+ㅍ 2

A: