Sketch the figure of the described situation in the problem and then solve. Determine the equation of a tangent line perpendicular to the line 2x+2y=2, for a curve y=2In(3x).

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A: ∫ex dx = ex+C ∫ax dx = axln a+C ; where, 'C' is an integration constant. Note : As per our…

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A: We have to find the inflection point and the concavity and convexity of the curve

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A: We can find the answer as below using property of integration.

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A: If the roots of the auxiliary equation is complex i.e, α±iβ , then complete solution is…

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Q: ||r(t) × r"(t)|| ||M(t)|| Use the formula k(t) to find k(t). r(t) = t²i + t'"j 242 t7 K(t) = (4+ 121…

A: Cross product

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Q: 21) Canvert tue rectengu ler equetion to poler forms. C 1ll- yt 1020 a) ra 20 coso り ne b 10 フ 2…

A: The given equation is: 11x-y+10=0   As we know that; The polar coordinates; x=rcosθ, y=rsinθ

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Q: 1. The point P(p, 1), where p>0, lies on the curve x? + 2xy -:y* = 0. a) Calculate the value of p.…

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Q: Find V. (F x G), if F(x, y, z) = 3.xi +j+ 6yk and G(x, y, z) = xi + yj – zk. V· (F x G)

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Q: View Policies Show Attempt History Current Attempt in Progress Your answer is incorrect. Find T(t)…

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Q: 8 3. y2 = x and y² = 2 – x (Answer: S. U. ) 3 - -

A: Given: y2=x and y2=2-x   Now find the point of intersection between the given curves. y2=x,…

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A: Let, radius = r Height = h When r = 8, then h = 22. Using this we get a relation between r and h.…

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A: Given :

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Q: Describe the graph of the equation: r = 7hi – 9j + (1 + 61)k. [Choose the correct answer.] O The…

A: Given problem:- Describe the graph of the equation: r = 7ti − 9j + (1 + 6t)k.

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Q: "I INAICATE If THtE fOLLUWINh SRRZES ConveilCE OR DeveRしe。エ0ENTICY Tésrs Uszo. TESTS HT in (4nt -n)…

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Q: (a) When you solve an integer programming problem (suppose it is a maximization prob- lem), how do…

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A: To find the value of the  given integral .

Q: Find curl (8z i + 9x j+ 10y k). curl(8z i + 9x j + 10y k) = ( i )i +(i j + ( %3D i )k

A: solution is given below

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A: Given: I=∫02∫04-z2∫0xxydydxdz   As we know that; The Power rule: ∫xndx=xn+1n+1+C

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 14tj – 6VEk) dt 3 A+…

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Q: 19) Find fre are length of the curve an tue göven imprvel. onsweys a) (2308)-8 1728 り420) 864 c)…

A: Use arc length formula

Q: d d Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

Q: Solve using L.apiace transform: 2u – uz = xt, t> 0, u(0, t) = 2, u(x,0) = 1. %3D

A: Given

Q: 2x f(x) 1< x < 3 to + 5 lim n → 00 i = 1

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Q: Find exactly T(t) and N() for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct answer.)…

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