The tangent line to the curve at the point (1,2) also passes through the d²y point (-1,4). If at any point at the curve, =4-2x, find an equation of the dx² curve.

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A: The region A is bounded by y=1 and y=x3 from x=0 to x=1

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A: Please re-upload the other two questions.

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A: Given query is to find the acceleration at indicated point.

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A: If F = (fgx then F' =fgx' =f'(g(x)).g'(x).

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A: This question can be solved using the concept of area under curves.

Q: w Dy ),-0 7 By b. Əw əz C. aw əz

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Q: Find the value of the arthmetic series below 3+6+9+...+48 A 357 B 458 C 396

A: Solution:-3+6+9+...+48First term, a=3Second term=6nth term, an=48Common difference, d=6-3=9-6=3nth…

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A: topic - area bounded by curves

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A: Solve the following

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A: Given:    f(x) = 2x+13x-34

Q: .729 Using Rationalizing Substitution 6 6y² +6y+6+ y-1 5 5y +5+ y-1 6y+6+ 6 y-1 1 y²(y-1) dx 64…

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 0 7 s.u. O 9 s.u. 0 1 09 2 S.U. S.U.

A: Graph :

Q: Let u(x) = sin(x) and v(x) = x¹0 and f(x) 10 - u'(T) v'(x) u'v – uv' f' = V² = II u(x) v(T)

A: We have to solve the derivative

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Q: Pim [√x²+x - √x² +4 ] X+∞

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Q: Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X-4* X-4 b. Find lim f(x).…

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A: We need to calculate the improper integrals and then conclude it as convergent or divergent.

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

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A: We have to solve differential equation

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A: answer is in next step

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Q: x²-16 Given a proper rational expression (x-2)²(x+2) (a) Decompose the proper rational expression…

A: a.

Q: Let f (a, b, c) = cos (ab) + sin (b) + c where f Evaluate af да 73,7) Option 4 Option 1 π 24√3 T|3…

A: Please see the below picture for detailed solution. None of the given options is correct.

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Q: 4. General solution of dy= y-x dx y+x

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A: answer is in next step

Q: Find the Cartesian form of the equation in spherical coordinates given by p = 2 cos p.

A: We have to solve above question and find cartesian form

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Q: (x + 1)² (y-8)² (v-8)² = 1 - + 9 81

A: Given query is to find the conic form.

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Q: General note for all questions : choose the correct answers IF y = u + 3u² & u = 2x Find dy dx

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