Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

Q: 14. A small, closed water tank is in the shape of a cuboid with a square base. The total surface…

A: Given :Total surface area of cuboid = 1500

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: PROBLEM 3: 00 Consider the set S= = {A€M₂×3 ×3 (R): A = -[880] where a > 0, b>0, with the usual -0,…

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: 4. Determine whether the following statements are True or False? y = f(x) (a) _lim_ f(x) = 1 (b) lim…

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Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: exey (2xe + )dx + ( ) dy - ex ر ول

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

Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

Q: 27777 Memo No. Date 1 Mo Tu We Th Fr Sa Su Solve the following 1)√(x² + 2x²) dx if (cosx - sinx) dx

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Q: Evaluate x³ dx (x4-5)4

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Q: open rectangular box with square base is to be made from 48 ft2 of material.  What dimensions will…

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Q: 1 1 So (²₁-2²-₂) dx xx+1 x+2.

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Q: TC √³x² x² sin3x dx

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Q: The are of the parabola y=x² from (1, 1) to (2, 4) is rotated about the y-axis. Find the area of the…

A: Let's find area of the resulting surface.

Q: Solve the following problems. A. Given the graph determine the following: 1. Absolute maximum value…

A: follow the procedure given below.

Q: Determine whether the following statements are True or False? y = f(x) 2 X (a) lim f(x) = 1 (b) lim…

A: Diagram is given. Determine whether the following statements are true or false

Q: 5. y" + 8y + 16y = 0

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Q: Find the area of the region bounded by the curve y=x^2-3x the x-axis and the lines x = 1 and x = 2.

A: This question is based on application of integration.

Q: dy Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dx…

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Q: consider the region in figure A. its area, using ∫ab[f(x) − g(c)]dx, is__?

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Q: RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁-…

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Q: Find the derivative of cos-¹(sin x)

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Q: √x³√1-x² x2

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Q: sec x = Let f(x) + x³e² - log₂ (5x + 1) + 1 x² √T Using the derivative rules learned in our course,…

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Q: Determine the indefinite integral. 25 dx x In 7x 25 S= Sx157x x In 7x dx =

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Q: -3x² - 4x + 3 1 x (x + 1)² dx

A: Given problem:-

Q: du du dx' dy 1) u = 3x²y + xlny² - Inxy 2) u =xe*Y+ ‡ ArcTan , 3) u = +2²-3² I. Find and (whenever…

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Q: 2 x (1 + y²) dx -y (1 + 2x²) dy = 0

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Q: Find the general equation of the circle of curvature of the parametric equation t+1 X ; y = ±…

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Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

Q: 6. Find the intersection of the line I and the plane . 1:7=(4,-1,4) +t(5,-2,3) 2x+5y+z+2=0

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Q: 2.1 Limits 2 1. Use the graph to estimate the limits or explain why the limits do not exist. y (a)…

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Q: A bolt is being loosened by a 40 cm wrench. The torque in this situation has a magnitude of 12 J and…

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Q: [x³√₁-x² x2

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Q: 3√3 dx √3 x² √√x² +9 2

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Q: Solve the system of differential equations. x₁' = 3x1 - 1x₂ ¸x₂' = 1x₁ + 5x2 x₁ (0) = - 11, x₂(0) =…

A: This is a problem related to solving system of linear differential equation. Based on the general…

Q: Two cars started at the same point but at different times (of the same day) and at different speeds.…

A: Car A left at 9am travel to west direction at speed 30kph,  Therefore at 2pm car A travel total…

Q: Refer to the given figure, if ABCD and m/2 = m25= 70°, complete the table by finding the measures of…

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Q: The Audubon Society at Enormous State University (ESU) is planning its annuel fund-raising…

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Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: Find Vf at the given point. f(x,y,z) = x³ +y³ - 2z² + z lnx, (1,4,5) Vf|(1,4,5) = 7i+(-24)j + (75)k…

A: Finding the gradient of f at the given point.

Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: 9) Find the equation of the tangent to the curve y = 1+ Int and x=t+Int when t = 2.

A: Given problem:- Find the equation of the tangent to the curve y = 1 + lnt and x=t+Int when t = 2 .

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians,…

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Q: 1. Evaluate the given integral Q. J[(y - 2x) dA, R where is the region bounded by x = 0, y = x, x =…

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Q: Find the critical points and sketch the graph of the function.

A: Topic:- application of derivatives

Q: To shear a cube-shaped object, forces of equal magnitude and opposite directions might be applied: O…

A: Since, it is given that forces are of equal magnitude but opposite directions and we have to shear a…

Q: 2 cos x = -0.7, 2TT ≤ x < 4T csc x = 2, 0 < x < 2TT sec x = -3, -π ≤ x < T 4

A: Given :cosx=-0.7cscx=2secx=-3

Q: A plane that passes through the points A(2,1,1) B(-1,-1,10) C(1.3.-4). Find a vector perpendicular…

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