Vector A) Prove that: Vx (FxG) = (GV)F- (FV)G+ F(VG) - G(VF). 201 1

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A: Given,∫x2x2-9dx

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A: The given integration is: ∫5tanxsec3xdx To find the value of integration.

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A: The given curves are; y=secx, y=0 x-axis, x=0 y-axis, x=0.25π So, the bounded region is as shown…

Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

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Q: S # 3 X Use the fundamental Identities to simply the expression. 1) tan & coft 2) cos²0 2 +CSCO sint…

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Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

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A: The rare of change of a function f(x) at x=c is f'(c)

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A: Here in this question, we need to prove that the given function is not differentiable at the origin…

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A: The given function is: y=15x3+360x2

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Q: Find the average value of f(t) = -2te Answer: -0.63 on the interval [0, 1].

A: topic- average value of function over interval

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Q: 0 1 5. Let A = -1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=(1 1…

A: Given problem:-

Q: 6.) Find the local extrema and saddle point(s) of f(x, y) = x²y-6y²-3x².

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A: Integration gives area below curve area above x axis is positive area below x axis is negative A(4)…

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A: We have to substitute z=√(4-x^2)

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A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…

Q: (5) Σ.1 η=1 η! 102n-1

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Q: 2. Find the Maclaurin series of f(x) = tanh

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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Q: If 2 = (6,-5) and a = (-2,6), find |2+3.5d |. O 5√11 O √146 O 16 2√73

A: topic- vectors

Q: Suppose F(5) = -4, F(6) = 4, and F'(x) = f(x). Sº f(x) f(x) dx = = Quest

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A: We have to find the volume.

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Q: 4) Determine the value of the 4) -2 6)-1 c) o d) 1 I'm 10,0 хсу e) DNE xy 2x² √x² + y²

A: If the function approach the same value k along any path into (0,0) then the limit is k. If two…

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Q: Find the derivative of_h(x)= (3x+4)³ (-3x-2)

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the quotient rule…

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.