Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

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Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

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A: Given: 2x+5y=-7; x-38=y2=z-714 Let, x-38=y2=z-714=t ⇒x=8t+3; y=2t; z=14t+7

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Q: Referring to the graph above, which of the following statements is correct: 1. f″(x) 0 for all x

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Q: The dimensions ofavectargubr refion are varying with the bimelt accordng -28 Cm/see and wa3t+6…

A: suppose area be represented by AA= L×wA=(2t2-8)(3t+6)A=6t3+12t2-24t-48now differentiating on both…

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Q: a triple Integial for the solid CAclosed by X=y?+q? and xal6 Write

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Q: Let a = (4, – 5, – 4) and b = (4, 3, k). Find k so that ā and b will be orthogonal. k =

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Q: 2) Calculate each of the limits by considering logarithm of the limit first. a) lim x'n x x→0+ b)…

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Q: 3. Find the area of the region in the first quadrant that is enclosed by the coordinate axes and…

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Q: Find the area of the portion of the surface z=f(x,y) = x^2+ y^2 that lies below the plane z = 9.

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Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

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A: If f is a function of x and y then gradient of f is given by ∇f=∂f∂xi^+∂f∂yj^So, ∇fa,b is given by…

Q: - The rate of change of the monthly profit for a new company is given by the function P'(t) = 200VE…

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Q: Finding a Limit In Exercises 11–28, find the limit. Use a graphing utility to verify your result.…

A: LetL=limx→ 0x+1-13xlimx→ac·fx=c·limx→afxL=13·limx→ 0x+1-1xRationalise the numeratorL=13·limx→…

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Q: Find the tangent and cotangent of 195". Note that 195 = 150 + 45. Use sum or difference formulas…

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Q: 4. The measurement of a side of a square is found to be 16 in. The possible error in measuring the…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: d² (¤Arctan x dx?

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Q: ercise To Try 4 (A piecewise function.) Find the area under the graph of f(r) and ve the x-aris…

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Q: Given the graph of f'(x) below. (a) Find the intervals on which f(x) is concave up/concave down (b)…

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