Use Stokes' Theorem to evaluate f F · dR, where F = yi + zj + xk where c is the triangle given by the intersection between x + y + z = 1 and the reference planes x = 0, y = 0, z = 0, traversed clockwise when seen from below.

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A: To find the absolute maximum or minimum value of the given function.

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A: f(x)=−x3+27x−58Using the power Ruleddxxn=nxn−1

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A: f(x)=−cos⁡x−(21−x)A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

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Q: cos(x) dx 2) Calculate the integral sinc √sin(x)

A: To calculate the following integral.

Q: EASE could you shed a litttle bit more light on how you got the critical numbers

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Q: 6. Given the implicit curve, x² - In line at (1,1). In () = 1, Write the linear approximation L(x)…

A: The given implict equation is

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A: From the  given statement.

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A: By using multiplication or division of powerseries to find the first three nonzero terms in the…

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A: Region is bounded by f(x)=3x2−12 and g(x)=−x2+4 over the interval [−3,3]

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A: Given that a rectangle has its base on the x−axis and its upper vertices on the parabola To…

Q: 9-30. Finding area Determine the area of the shaded region in the fol- lowing figures. 10.

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A: The graph of derivative  is given below. To find the interval(s) on which the function  is concave…

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Q: 10. Consider the following two 3 x 3 matrices -1 3 3 1 -2 -1 1 -2 -2 (b) ( (c) A = 1 1 AB and BA. (…

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Q: Multiply both sides by (x² + 1)² and combine like terms. x² + 6x + 1 = (Ax + B)(x² + 1) + Cx + D =…

A: The given equation

Q: elow, we see a region bounded by two curves. (graph not necessarily to scale)

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Q: 2. ₁²√xydydx = ²√xdx √ydy

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. XCOS TX

A: f(x)=xcos⁡πx

Q: use € Calcus implicit different to find sy ldx Q32 y cos (ty) = 2x + 2y

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Q: Tutorial Exercise Write the given expression as a single integral in the following form. [₁1 (2) dx…

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Q: Question 7 Use first (a) (b) principles to find the derivative of f(x) = x² + x f(x) = -√√x

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Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2, -5, -3) (a) u x V 29i+ 4j + 26k (b) V x u…

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Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic…

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Q: 39-44. Mean Value Theorem for Integrals Find or approximate all points at which the given function…

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Q: x²+3x-130 lim 2 x-10 x²-100

A: L=limx→10x2+3x−130x2−100

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A: The given function isThe first derivative is given as,The second derivative of the function is given…

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Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

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Q: Find a function ?(?) such that ?′(?)=?^x+?^e+1

A: The objective of the question is to find the antiderivative or integral of the given function f'(x)…