1ogonal coordinate (optional) 1. A plane is represented as X + 2y – 2z = 1 in an orthogonal xyz coordinate system, find its normal direction, and its angle with x, y and z coordinate. Vectors m-

Q: Evaluate JI| (xz + zy)dx. dy. dz & 1< y<2 & 0sz<1| 0< x < 1

A: First we put the intervals of x,y,z in the integration and then evaluate it.

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A: Integrate above function.

Q: valuate II (x2 + yz) dV, where R is the rectangular box 0 < x < 1, 1 s y s 2, 1 szs 2.

A: Please refer the attached image for complete solution.

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Q: Solve the ODE (t+1)=ty

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Q: Express the limit as a definite integral. n lim > 2 cAx, where P is a partition of [3,8] n00ks1

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Q: Solve this system of equations.

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Q: Find the exact value of each expression. (a) tan(arctan(6)) (b) arcsin(sin(5t/4)) -

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Q: Find the derivative of the function f(x, v) = tan-1Y at the point (5, -5) in the direction in which ...

A: Simply find out the direction derivative in the direction in which function decrease most rapidly.

Q: Given a circle passing through the point (5,9) with radius equal to 4, which of the following could ...

A: Given: Point ( 5 , 9) radius (r) = 4

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Q: Let f(x) = 8x - 7 to find the following value. f(t + 1) f(t + 1) =D

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Q: a) Fill in the blank. f(x + h) – f(x) For the function y = f(x), the ratio (h + 0) is ---Select--- b...

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Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000 30...

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Q: e linearization of f(x,y) = x³ ey about the point (2, 0) to find an approximate value for f(2.1, 0.1...

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Q: Using the variable x, write the interval [7,9] as an inequality. The inequality represented by the i...

A: NOTE: Refresh your page if you can't see any equations. . the given interval is

Q: Complete the table by computing f(x) at the given values of x. (Round your answers to three decimal ...

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Q: Show that B is the inverse of A. -2 1 2. 3-3 -0 6 -2 A = -3 1 2. 6. %3D -18 6 15 STEP 1: Find AB. AB...

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Q: Find the derivative of the function f(x, y) = tan-1Y at the point (-6, 6) in the direction in which ...

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Q: Find the absolute maxima and minima of the function on the given domain. f(x v) = 2x2 +9y on the clo...

A: First of all find the critical points of the given function f(x,y)=2x2+9y2 Now, to find the critical...

Q: Sketch the region bounded above by the curve 8e * sin(rx), the x-axis, and I = 1, and find the area ...

A: Solve for the area

Q: Find the domain of the following functions : coy '(3x - 1)

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Q: Evaluate: cos 2x log(1+ tan x) dx

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Q: If the equations x = u? - v and y = 2uv define u and v as functions of x and y, find and %3D O A. du...

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Q: vx* +1{log (x +1)- 2log x} -x/ X*+

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Q: x - 6 Let F(x) = | (3- Vi+6) dt. Use F(x) in parts (a)-(d). ..... (a) Find F'(x). F'(x) = (b) Find t...

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Q: Pregunta 9 The limit when x approaches to infinity of any polynomial function es always infinite (po...

A: Given statement The limit when x approaches to infinity of any polynomial function es always infinit...

Q: when f(x) = 7x^2 - x + 6, evaluate f (-3)

A: For Evaluating f(-3) substitute value of -3 in place of x.

Q: Q: Find the integral for the following functions:

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Q: Evaluate (4 + 2x) dA, where R is the rectangle -2 < x < 2, -3 < y < 3, by interpreting it as a known...

A: The given integral is: ∫∫R (4+2x) dA ;      where R is the rectangle given by:   (x, y) | -2≤x≤2,  -...

Q: 3. Find the volume generated by revolving about the y-axis the area bounded by the following: y = x²...

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Q: Q3:) The point moving on the curve y = x³ - 3x+ 5, such that * +3, where (t) represents time. What i...

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Q: 1. For which values of k is the set of order pairs (2,4), (k, 6), (4,0) a function?

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Discuss some of the ways in which estimating a limit from a table can sometimes be challening or giv...

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Q: Solve the problem. Find the derivative of the function f(x, v, z) = at the point (-6, 6, -6) in the ...

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Q: Find the volume V of the described solid S. The base of a solid S is the region enclosed by the par...

A: The base of a solid S is the region enclosed by the parabola y = 4 − x2 and the x-axis. Cross-sectio...

Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (2T, 0)

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Q: Find the linear approximation of the function at the given point. f(x, y) = -4x²y³ at (-9,7) O A. L(...

A: In this question we have to find linear approximation of the given function.

Q: If w = e-(*+s), r = uv, s = u + 2v, find du O A. 2w(rv - s) O B. -2w(rv + s) O C. W(rv + 2s) O D. 2w...

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Q: Find the derivative of the function f(x y) = tan-1 Y at the point (-6, 6) in the direction in which ...

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Q: Find the domain and rang with complete solution.

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Q: Find the domain of the following functions : cos (3x - 1)

A: Find the domain of the function

Q: Find the domain of the following functions : cos (3x - 1)

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Q: Find the domain of the following functions cos '(3x - 1)

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Q: Find the linear approximation of the function at the given point. f(x y) = 4x²y3 at (-9,7) O A. L(x,...

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Q: 3) SV1+ sin(x)dx 4) ( cosh2(r) sinh2(r) dr

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...