14.5y² + y-6 15. 2r-r-3 16. 3m² + 7m + 2 17.3y² + 14y +8 18. 8v² + 13v - 6

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

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A: We need to choose correct option.

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A: Explanation of the answer is as follows

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Q: 28. y² dx + (x² + 3xy + 4y²) dy = 0; when x = 2, y = 1. ANS 462v + y) ln v. 2 v

A: See this solution in below.

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A: The given differential equation is; (x-ylny+ylnx)dx+x(lny-lnx)dy=0

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A: Dear student, as per bartleby policy we are allow to solve one doubt at a time. Please repost other…

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A: Given: f(x)=3x       gx=3x+12

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A: Topic = Functions

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A: We use Distance formula between points x1,y1,z1 and x2,y2,z2⇒d=x2-x12+y2-y12+z2-z12

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A: This question is based on Partial Derivative.

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A: Given that  The plane spanned by.  v1 = (5, 6, 0) and v2 = (0, 5, 6)   To find :- The vector…

Q: (-7)=|

A: Topic:- derivatives

Q: 25. (y + √√x² + y²) dx − x dy = 0; when x = √√√3, y = 1. ANS. x² = 2y + 1.

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Q: 2. Suppose that 2= f(x,x) with x = ln (26-t²) y= 2 s²+²+t. Use multivariable chain rule to compute…

A: Let fx, y=4xy2+4y+exySuppose that z=fx, y with x=ln2s-t2 and y=2s2t2+t. To use multivariable chain…

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A: Topic = Derivative

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Q: Calculate the scalar triple product u (v x w), where u = (1,5, 0), v = (-8, -9,9), and w= = (4,…

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Q: C. Find the right Riemann sum for the region bounded by the graph of f(x) = √x + 2 and the x-axis…

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Q: direction: find the indefinite integeal   x-3  / x^2 + 1

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Q: Use linear approximation to approximate ✓49.1 as follows. Let f(x)=√x. The equation of the tangent…

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Q: 2. Find the Inverse Laplace Transform of the following: b. L-¹{2+15+13)

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Q: Given that g'(x) = 21x²-17 and g(2) = 23, find g(x). g(x) =

A: Solution:-