4x Estimate the error in the quadratic approximation of f(x,y) = e sin y at the origin over the region - 0.1sx, ys0.1.

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A: To evaluate the given integral.

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A: The graph of the parametric curve x=√t, y=sint , 0≤t≤2π is given as below,  

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A: The unit vector in the direction of u is defined by: {\displaystyle \mathbf {\hat {u}} ={\frac {\ma...

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Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .

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A: This is a problem related to derivative of the function. Please follow the procedure given below.

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A: We can find the integral in the following steps

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A: find ∫-20xf(x2)dx  

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A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

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A: We have to find the formula for ak  and the limit as k approaches infinity for ak+1/ak.

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A: Given query is to find the interval where function is continuous.

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Q: the interval [a, b], where c; is any point in the ith s Interval [-3, 3]

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A: As you mention question no. 6 solved

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Q: Find the volume generated by revolving bout the line x = -1 the area bounded by (y + 2)? = 4(x + 2) ...

A: Let R be the reion bounded by y+22=4x+2 and x=-1.We have to find the volume generated by revolving t...

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A: This question is based on Use of Dot product and cross product.

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A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

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A: Solution is written in below steps.

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Q: onsider the points A(3, -3,3), B(4, –5, 1), C(-2, –-4, 1), and (6, 3, -5). -) Find the volume of the...

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Q: E Valua te :- 1X+2y) dx dy when

A: Given problem:- ∫∫D(x+2y)dx dy  Where D : y=2x2 , y=1+x2