The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form (two decimal places).

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Q: Using the substitution x = sec 0, 2dx Jx?Vx² – 1

A: We can find the solution to the integration as below.

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Q: need

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Q: 1/5 2n'5 3) Use the Limit Comparison Test to determine whether the series V5n + 7n+7 n=1 is…

A: Given problem:-

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A: Limits

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Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

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Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

Q: Find and b such that the following function is continuous at x=( [x] – 2a x 0 -

A: To find the values of a and b

Q: P5: |V4- 9x?dx 4 –

A: Let's find.

Q: 16X

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

Q: P6: x2 x² – 1

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Q: The equation o=- in spherical coordinates represents sphere. Select one: True O False

A: Here, the given equation is: φ=π5

Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a…

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Q: Find the divergence of the vector field F. F(x, y, z) = In(9x2+ 6y² )i + 54xyj + In (6y? + 5z?)«…

A: To find the divergence of given vector field

Q: 2) z= (1+t²)(3 - 2y); z' Ans: z' = -2(3t? + 3t + 1)

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Q: A 1.Find the domain of following functions: a.f (x) = {(2,6), (3, 9), (7, 11), (4, 0), (-1, 12)} and…

A: We are asked to find  domain and composite of the function

Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

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Q: did not answer my question

A: Apologies for the inconvenience.   Required formulas: ddxfg=ddxfg+fddxg  Product…

Q: For the differential equation (x -4)y" + (x- 2)y'+ 2y 0, the singular points are: O None of them x-3…

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e")i+ (y³ + sin z)j+ (2³ – æy)k 3…

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Q: The solution y, of the homogeneous differential equation y(4) + 36y" = 0 is None of them c_1+c_2…

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A: We have to find the angle of the largest right circular cone which can be inscribed in a sphere of…

Q: Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: To find the smallest distance from the given point to the surface.

Q: (c) Find marginal profit at q = 500. 10 Explain what it predicts. The total profit will increase by…

A: Apologies for the inconvenience.   #c) We have found that marginal profit at q=500 is 10.  It means…

Q: 2. Calculate the area enclosed by the graph of y = x + 2x? - 5x - 6 = (x + 1)(x – 2)(x + 3)

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Q: Determine whether the series is absolutely converger convergent or divergent. Please provide…

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Q: Q3/ Find the limits 1. lim 2. lim Vx+2-1 X-1 х+1

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Q: Q2/ Find the second derivative of the following: 1. 2 Va 2. (x-1)(x2-2x)

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Q: 3) Evaluate the Riemann sum for f (x) = x² – 2x, a = 0, b = 3,n = 6. Taking the sample point to the…

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Q: Consider the following. u = 3i + 4j, v = -7i - j (a) Find u · v. -25 u v = 5- V 50 (b) Find the…

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Q: Change from spherical coordinates to rectangular coordinates $ = 6. O z2= 3(x² + y²) O z2= 3(x²…

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Q: x3 + x – 1 ;dx J x(x – 1)(x + 5)²"

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Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: To eliminate the arbitrary constant.

Q: Find a and b such that f(x) is continuous at x=1. [x – 2] + a x 1

A: A detailed solution is given below.

Q: [a csc ()- y] do + ædy = 0 CSC O y= x cos(In z) + C O y=D cos (In a + C) O In + cos(E)= C O Ino COS

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Q: 6. sech(4x) tan (4x) dx

A: We need to evaluate integral.

Q: The general solution of the fourth-order differential equation y() + y" + y" =0 is: %3D y=c_1 +c_2…

A: The general solution of the fourth-order differential equation.

Q: 1. Find r(9/2)=? 2. В (3, 2) %3D?

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Q: Using the substitution x = sec 0, dx S: J x2Vx2 _ 1 where x > 1, is equal to

A: We can find the answer as below.

Q: Solve the differential equation dx + xdy = x?e dy. %3D

A: Given dx+xdy=x2eydyTo find solution of differential equation:

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Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y –…

A: Option A

Q: y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…