3 4. f(x) = x - 5 A. x = -1 B. x = 2

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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Q: 3" Σ 2. Use a direct comparison to test the convergence of 4" +n

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Q: r = 4 cos 30

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Q: 2y Find the directional derivative of f(x, y, z) at P(5, 2,-4) in the direction from P to Q(4, 3,…

A: To find the directional derivative of the given function.

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

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Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: 10

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Q: 1. (3y²+ 2x²)dy + 2xydx=0

A: Ode

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: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

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Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (3, –4)…

A: A detailed solution is given below

Q: For numbers 4-10, answer the following questions for the piecewise defined function f(t). t2 t+6 for…

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Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 5+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=4-t, y=2t, z=5+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: FIND HE WORK DONE IN LIFTING Za lo00 lb OF COAL FROM À MINE (500ft. DEEP BY NEANS OF A CABLE WIIGH…

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Q: 3. y = V x - 1. х — 5. у — 0. теvolved at u aris

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Q: The point (x, y, z) = (-1, –1, –1) under rectangular coordinates in R³ can be described through…

A: Let's find.

Q: Find the area of the triangle with vertices P(1,5, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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

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

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Q: p³ + x² – 4 4x = x +1+ - 1. Consider the function f(x) Note that - 4° x² – 4 x2 (x2 – 12) (т? — 4)2…

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Q: Given that arcsec e) + (x – y²)² = 2. (a) Find dy using implicit differentiation. dx dy using…

A: Given,            arcsecyx+x2-y232=2

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

A: Given query is to fins equation of the line.

Q: Find an equation of the plane through (-3, 8, – 7) that is perpendicular to the planes 6x – y +z = 4…

A: We need to find equation of plane.

Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (10, 0) Vg(10, 0) =

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Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: Let the three positive integrar are x, y and z

Q: Find the location at t = 3 of a particle whose path satisfies - (1- dr 7 14t 2t – 4 dt (t + 1)² r(0)…

A: To find the location at t=3 of a particular whose path satisfies.

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Q: You will create an estimate in order to assist your boss in gaining the job! The equation that is…

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Q: dx =+c 6. 2.

A: We can solve the given problem as follows:

Q: Find the vector component of v = 2i – j + 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

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

Q: ne indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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