3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

Q: Indicate all critical points on the graph of † in the figure below and determine which correspond to…

A: Consider the figure

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A: Here, g(3)=4 & g'(x)=x2-16x-2, x≠2

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A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

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A: Here, PQ=Q-P=-1,-5,6PR=R-P=3-1,4-5,1-(-6)=2,-1,7

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A: -2x+y+z=0 6x-3y-3z-13=0   Divide the second equation by -3, to make the coefficients equal in both…

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A: We need to find directional derivative.

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Q: 1. Find the absolute extrema on the given intervälš. a. f(x) = x3 - 6x2 +9x-8; [0,5] b. f(x) = x8/3…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find X only using Crammers rule 2x+リ-「Z=D2 x2 -y +VZ 2 x? +2y +VN= 4

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A: This question is based on finding the adjacent edges of tetrahedron and dot and cross product use.

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Q: Find the solution with the given initial condition. r"(t) = (e', sin (t), cos (f)), r(0) = (1,0, 1),…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Determine the integral of sec^4 (x) tan^2 (x) dx *   a) 1/7 tan^7 (x) - 1/5 tan^5 (x) + C b) 1/3…

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A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

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A: First we find partial derivative with respect to x and y.

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A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

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Q: а. у %3D х-5 — 4х* + 5х-3 -10х — 20 4x4 + 5x-3

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (–3,0,…

A: We need to find Parametric equation.

Q: Use the Chain Rule to find- af when r = 2, t =-1 of the function ar f(x, y, z) = e3xyz cos 2xyz ; x…

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A: Find the distance between the parallel planes.

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A: Given problem:- Find the directional derivative of the function at the given point in the direction…

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Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 6x*y²; P(1, 4); a = 12 i –…

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Q: Find the gradient of the function at the given point. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

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Q: Let g be a function that is defined for all x, x # 2, such that g(3)% = 4 and the derivative of g is…

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Q: (3y²+ 2x³)dy + 2xydx=0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution…

Q: Current Attempt in Progress 2y Find the directional derivative of f(x, y, z) = at P(5, 2, -4) x + z…

A: Directional derivative of a function f(x,y,z) at P(a,b,c) in the direction from P to Q(p,q,r) is…

Q: (a) Write a nonrecursive formula for the term of the arithmetic squence a based on the given…

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Q: Evaluate the integral of: * dx x2 – 2x + 50 arctan (x - 1) + C arcsec (x - 1)/7 + C O 7 arcsin (x -…

A: