Find the stationary points and determine if each stationary point gives a local maximum or local minimum or neither. i. f(x1,X2, X3) = xỉ + 2x3 + x + x1X2- 2x3- 7x1 + 12 ii. f(x1, X2, X3) = 2x1 - xỉ + 10x2 - x3 + 3x3 - x3

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A: Given :    

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A: 7.  There is a removable discontinuity at x=1 and f(1)=4

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A: We have to evaluate the improper integrals ∫0∞ 11+x2 dx ∫02 x4-x2 dx ∫1∞ ln(x)x dx

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Q: The displacement (in me line is given by the equa measured in seconds. Fi t = a, t = 1, t = 2, and

A: given s = 1t2velocity of the particle is given by v(t) = dsdt

Q: 3. Find the values of b and c so f(x)=-8x² + bx+c has vertex (2, -7).

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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Q: 33. lim arctan(e*)

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A: We have to find value of x where function is not derivative.  

Q: the following. Show solution using the basic formulas.

A: Given that:

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Q: Find the derivative. Determine the correct method for each. a) y = (lnx)3 b) y = Inx3 c) y = x3 - In...

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Q: 2x+

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Q: 225 ft ロ000。 0000 100-

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Q: Cos z+1 cos 2 1 + sec x =

A: Use simple trigonometry relation.

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Q: Determine the convergence or divergence of the following series 2 sin³ n n² -1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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A: We can find the area of the sector as below.

Q: 3. Find the domain and the range for the following functions: a) f(x) = -2(x+3)^2+4

A: Given function,f(x)=-2(x+3)2+4The domain of a function is the set of input or argument values for wh...

Q: dx 10. J V2x2-1

A: See the details solution in below

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A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0 interse...

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A: We have to find the value of the function f(-6).

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A: Given query is to find the rate of change of height of water in the room.

Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a leve...

A: Given that: Length of steel pipe=3mLower end moves away from the wall at a speed = 2cm/s

Q: Simplify and evaluate. cos 70° cos 25° + sin 70° sin 25°

A: Answer: The solution is as shown below:

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Q: Question: (Show complete and systematic solutions) The expression sin't cos tdt , when evaluated wil...

A: Given that ∫sin4t cos4tdtSolution :we know that sin2t=1-cos2t2,cos2t=1+cos2t2∫sin4t cos4tdt∫1-cos2t2...

Q: Evaluate [z tn"(1 + x®)dx (1+x³) x². p 1 In³(1+x³) + C 1 In*(1+x³)+ C Option 1 Option 2 12 in*(1 + x...

A: topic - indefinite integral

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A: The given integral is: I=∫x3x2+36dx

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Q: 12) A right circular cone has a fixed height of 7 units. Find the rate of change of its volume V wit...

A: NOTE: Refresh your page if you can't see any equations. . the volume of the right circular cone is g...

Q: Direction: Find the derivative of the function. g(x) = (3 – z*) (x* – z + 1) Select one: O g'(r) = -...

A: Given:     gx=3-x2x3-x+1             =3x3-x+1-x2x3-x+1            =3x3-3x+3-x5+x3-x2       gx=-x5+4x...

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Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: Find the area enclored by the x-axis and

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Q: Find the angle between A = 10a + 2a and B = - 4a + 0. 5a¸ , using dot product. Answer:

A: As we know that, The expression for the angle between the two vectors is: θ=cos-1A→·B→A→B→ Given: A→...

Q: e2x dx 4 + e4x 13.

A: We have to find the integral of the given function. 

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

A: We can find the point as below

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A: This is basic problem on angles solution is given in the next step

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Q: Describe the end behavior (long run behavior) of f(x) = x° As x → - o, f(x) → ? v As x → 00, f(x) → ...

A: The given question can be solved as shown in step2.

Q: Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D...

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Q: Evaluate lim x-i x - 1 1 using the appropriate change of variable.

A: