= (2x²-3x+1 2x-1 ,x < 0.5 Ax + B,x=0.5. 2B,x > 0.5 Determine constants A and B such that is continu values of x. Show your work using the conditions continuity.

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A: Given:         rt=e-t,3t2,6tant a)   r't=ddte-t,ddt3t2,ddt6tant              r't=-e-t,32t,6sec2t…

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A: Given differential equation:- dNdt=N1-0.0008N , N(0)=1

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A: (a) x1→=-11  , x2→=21⇒c1x1→+c2x2→=00

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A: Please see the below picture for detailed solution.

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A: As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1   Given: f'x=7x4 So, we can also write as;…

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A: Topic - Area between curves

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Q: 35a. Use long division to derive the first four non-zero terms of the Maclaurin Series for f(x) =…

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Q: Evaluate the following indefinite integrals using U-Substitution. Thank you! 6. ∫ x3 (2-x2)12 dx

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A: Topic = Algebra

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A: The solution is given below

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Q: Give the Particular Solution of the following Differenti d²y dy dx2 +2. dx IBC: y(0) = 2 y'(0) = -2…

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Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial…

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Q: Given z=x^3+xy^2,  x=uv^3+w^2,   y=u+ve^w then find: ∂z/∂u when u=−1, v=−2, w=0u=-1, v=-2, w=0

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A: As we know that the derivative os sec inverse x is: ddxsec-1x=1xx2-1

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Q: ind V. (V × F), if F(x, y, z) = = V. (V X F) = ezi+ 6xe¹j - 3ek.

A: Topic:- vector algebra

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A: Topic:- application of derivatives and integration

Q: Find div F and curl F if F(x, y, z) = 16yªz³i – 17x7zºj − 3xy¹k. div F= curl F=

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Q: solving

A: Please refer to the image below

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A: Please refer to the image below

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