The equation in slope-intercept form for a line passing through the point (- 3, 2) that is parallel to 4x – y = 7. c. y=-*+ D. y = x+1 A. y = 4x + 14 В. у%3D-4х —10

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A: If the differential equation Mdx +Ndy =0  is exact ∂M∂y=∂N∂x , then solution is                 ∫y…

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A: Given that ,  c(t) =cost, sint,  we have to find an interval of t-values such that it traces the…

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Q: Use the limit comparison test to determine if the series converges or diverges. 00 8. 23) E 8 +…

A: We can solve as follows

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A: Yes the improper integral is convergent. see below the answer and calculation

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A: Please refer to the image below

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A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

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A: topic- continuity of a function

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A: We have to find the limit

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 6x, y = 0

A: Solution 1.  Given y=-x²+6x  And y=0 Now intersection point -x²+6x=0 X(6-x)=0 X=0 and x=6 Points…

Q: x2 - 6x + 8 lim x--2+ x3 - 4x

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A: We can solve as follows

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A: Given query is to find the series converges or diverges.

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A: We can find the answer as below using the given data.

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A: We will solve the equation.

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A: This question is related to derivative, we will solve it using given information.

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A: Use the substitution and then simplify the limit.

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Q: FInd Fas a function of x and evaluate it at x = 0, x = 7T/3, and x = /2. FX) = F(x Cos 8 de Fx) FO)

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Q: Let F(x) = f(x*) and G(x) = (f(x)). You also know that a' = 5, f(@) = 3, f'(a) = 13, f () = 1 Then…

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Q: 3 lim (1+ 4 x2

A: Given query is to find the limit of the expression m