The remainder term for a "n" degree Taylor polynomial of f(a) 1-x about x = 0 results in n+1 Rn(h (군) where § belongs hn+1 * to the interval %3D Assuming 0

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Q: 180; 수i1 Question 8 Find the length and direction (when defined) of u × v. u = 4i + 2j + 8k, v = -i ...

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A: Apply natural logarithm to the expressions on both sides of the given function fx=gxhx. logefx=loge...

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A: 1). Given; I=∫cos22tdt  ...1   We know that; The trigonometric identity: cos2x=2cos2x-1 And ∫11+x2dx...

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Q: у%3D 2х — х", у%3D 2х — 4х -

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Q: 1. Evaluate the integral: SSf, xe**+y<+zt dV where B is the portion of the unit ball x² + y² + z² < ...

A: Here, the region B is the portion of the unit ball x2+y2+z2≤1 that lies in the first octant. Convert...

Q: Consider the following planes. 5x + 2y - z = 44 X - 4y + 2z = 0 (a) Find the angle between the two p...

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Q: Consider the points A(3, –3, 3), B(4, –5,0), C(-3, –4, 0), and D(6, 2, –6). (a) Find the volume of t...

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Q: 2X +3 2x' +6x² +4x

A: This is too lengthy kindly repost the remaining parts.

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A: Given problem:-

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A: a)an=nsin(nπ/2) b)an={n/(n+1) if n is odd             1/(n+1) if n is even} c)an=sin(nπ/3). Repost t...

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Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...

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Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled ...

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Q: Identify the vertices and foci of the hyperbola with equation x2 = 1 92 402 The vertices are The foc...

A: We will find the vertices and foci. 

Q: Find the area of the triangle with vertices P(1, 5, –3), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the e...

A: use the cross product and determinant  for solving the area.

Q: Find fx, fy, and fz. f(x, y, z) = In (xy) Z fx = z ln: fy=z In :f, = In (xy) fx :수:fz= In (xy) fx fy...

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Q: Find the area of the triangle with vertices P(1, 2, –5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the ex...

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Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: 2. Show that the equation 2x + cosx 0 has exactly one real root.

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Q: Exercise 3. Consider the model economy where the government taxes consumption and uses the tax reven...

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Q: MY NOTES Find the volume V of the solid obtained by rotating the region bounded by the given curves ...

A: Topic = Volume

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min....

A: As we know that; The expression for the volume of the sphere is: V=43πr3 Where; r is the radius of t...

Q: Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ...

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Q: 1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' +...

A: The order of a differential equation is defined to be that of the highest order derivative it contai...

Q: Question 8 Find the derivative of the function at Po in the direction of f(x, y) = 3x 2 + 4y, P o(8,...

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