The function f(x) = √√x-2 + √√4-x is. increasing on its natural domain O increasing on (2, 3) and decreasing on (3, 4) increasing on (-∞0, 3) and decreasing on (3, ∞0) increasing on (3,4) and decreasing on (2, 3) decreasing on its natural domain

Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

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Q: 6. S e3w dw 9-4e6w

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Q: Find the solution of the given initial value problem. ty' + 2y = sint, y() = 9, t>0 y

A: y' +2t y =sin ttEquation is of Bernouli's form:P(t)=2tIntegrating Factor:I.F.=e∫ P(t) dt     =e∫2t…

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A: A detailed solution is given below.

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A: We need to find f(x).

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Q: Suppose A = 4i-6j, B = i + 7j, and C = 9i - 5j. Then the scalars h and k such that A = hB+ kC are…

A: Topic = Vector

Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: 2. Find the coordinates of the y-intercept of the plane (x, y, z)=(4,6,5) +s(2,3,1) + t(3,6,12)

A: To find out the coordinate of y-intercept.

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Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: III. Solve the following problems. 1. A manufacturer of tin boxes wishes to make open boxes from…

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Q: 5. 6. tan x dx \cos x (1/2-√√x) dx HIM

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Q: For each of the questions below, indicate if the statement is true (T) or false (F). (a) Any…

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Q: (b) n 1+ (x-1)"; r=1/e Σ(1-1) η n=1

A: Here, the given series is: ∑n=1∞1+1nn2(x-1)n Let, an=1+1nn2(x-1)n; n≥1

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Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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Q: A clothing store buys scarves for $22.00 less 27% for buying over 50 pairs, and less a further 24%…

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Q: Find the x-value of all points where the function below has any relative extrema. Find the value(s)…

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Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

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Q: [1 0 1. Let A = (i) AB (ii) BA (iii) Is AB=BA? 2 -5 2 -3 4] 1 -1 1] VY and B = 2 3 -5 0 6-2 -1 -3]…

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Q: du (A) Show that if y=csc(u), then=-csc(u) cot(u) dx dx

A: Given :y=csc(u)Proved

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A: You have submitted multiple questions. According to Bartleby guidelines, I'll solve the first…

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Q: 5. 3 :) dx 'tan x cos x

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Q: 2) z³ - 3x ²y + 6 xyz = 0; use the method of partial differentiation Əz Əz to find 2x 1 ду

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Q: If g(10) = 6, g' (10) = 1, g" (10) = -6 andg" (10) = 4.8, then g(10.4) O...5.9904 O...6.2182 4…

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Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

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