12. (2xy³ + 1) dx + (3x²y²-y¹) dy = 0

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

Q: 9. Determine if the Mean Value Theorem for Integrals applies to the function f(x)=√x on the interval…

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Q: (The vectors A=i-j,B=j-k, and C = 3i-k, find triple dot (AXC). B

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: H.W: Evaluate the integral 1. 30 [ (x²y - 2xy)dydx 0-2

A: Given: ∫03∫-20x2y-2xydydx

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A: See this solution in below

Q: 5. What is the equation of the asymptotes of the hyperbola defined by x²-4y² + 4x + 40y - 92 = 0

A: Standard form of equation of hyperbola is y-k2b2-x-h2a2=1 Perform operations to get this form…

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A: Find f if f"(x)= 2+cos(x), f(0)= -1 , f(π/2)= 2

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Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

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Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

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Q: Determine the slant asymptote of the rational function f(x) - Oy=5x-9 Oy = 5x + 9 Oy=5x-1 Oy= 5x + 1…

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

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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Q: [tanh (0.12 – j0.05) ]In(sinj0.5)

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Q: 3. 2 洲 dx

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Q: (x²-1)³ dx √x

A: Given, ∫x2-13xdx

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Q: 7. f* (x² + 8) & dx CO (³ (x-1)

A: We have to solve integral

Q: Exercises L- If H B =). 33" 3 14. BB+A-SI-D E A-

A: The answer is given below:

Q: Let r(t) = (3t², 6, 2t). Find the curvature when t = 0.

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Q: Find d7 dx> d7 dx7 -(46 In(x)). -(x6 In(x)) =

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Q: 2. What is the radius of the circle defined by x + y² - 6x + 4y - 1 = 0

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A: The given problem is solved below in detail.

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Q: 10. S xdx (5x2+3)4

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