Show that the equation represents a circle by rewriting it in standard form. x² + y² - 6x + 6y + 2 = 0 Find the center and radius of the circle. center (x, y) = radius

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Q: 5000 4000 3000 2000 1000 X 50 100 150 200 250 300 350 (b) What is the slope of the graph? 5000 (c)…

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Q: 4. Let w = f(z) = 2iz + 6z, find u and y and the value of fat z = ¹+ 4i

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Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² (a) lim (2,3)+(0,0) 24+4 (b)…

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Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

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A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: မှား 7 & Y ↳ 3 N 10 [COOT Return this question to its initial state 4 On the graph, make the two…

A: Equation of the dashed line y=43x-2 we have to find the parallel line passes through 5,2

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A: we will find the required.

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Q: 3. Find y' for y = cos(sin² x)

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Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax-0 I

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Q: 1.) Which of the following is not a solution to Show your solution. a.) y = xcos(x) + kx b.) y =…

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Q: 27. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

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Q: 03/: Find the area over the region R that lies inside the cardioid r=1+ cose and outside the circle…

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Q: The random variables A and B have variances 0.3 and 0.4 respectively. Let T= 5A-2B. The variance of…

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Q: Given AABC, what is the m48? 6.309 35 39 808 54 903 90 0679 11 9

A: We have to find angle B.

Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =<2< 1. Calculate the expected value of z. a. b. C.…

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Q: The probability P (0.5<x<5) is 0.5 O a. false b. true O

A: This is a problem related to probability. Please follow the procedure given below.

Q: lete the table below. 5.9 x→b 5.99 5.999 6.001 6.01 6.1

A: Topic:- application of calculus

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Q: Suppose f(x) and f'(x) have the following values. -7 -6 -5 -4 -3 4 -9 1 9 2 6 x f(x) -2 f'(x) 1 -2 3…

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Q: a) f(x,y) = x³y² + 6xy b) g(x,y)= 6x-x²-8y-2y²

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Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23,…

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Q: The angle between 0° and 360° that is coterminal with the 1545° angle is degrees.

A: Ans = 105 degree  For detail go through the solution ...I have solved in detail

Q: Find fogo h. f(x) = g(x) = x³, h(x) = x + 6

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Q: Consider the function Evaluate the definite integral f₁ f(x) dx = Evaluate the average value of f on…

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Q: 1. Determine (i) the order of each differential equation and (ii) whether they are linear or…

A: Given differential equations are  y4+y2+y=sint  y''+yy'=1

Q: In Problem 1-10, write the given sets by extension. when possible 1- 2 A= {x/e B₂{x|x is a 3- C =…

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Q: 6. 7. ay=7x+1 1 y || 1 x

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Q: for the following P.d.f of x, find the p(x<1) and p(x<1) .F(x)=x²/18 if -3<x<3 and 0 in other place…

A: Let's solve.

Q: A random variable, z, has p.d.f. f (z) = e ², 0 =< Z < 1. Calculate the expected value of z. 1 O a.…

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Q: 1 Suppose y = tan ¹æ. Then x = y tan Otan y Oarctan y

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Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

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Q: Hello good people, how are you, I need you to write these numbers in polar form for the complex in:…

A: Note that, if z=a+ib then z=reiθ=r(cos θ+i sin θ) where r=a2+b2 and θ=tan-1ba

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Q: Evaluate the piecewise defined function at the indicated values. F(x)= {1²2-6 5 ifx≤2 |2x−6 ifx>2…

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Q: An integrand involving a radical form √√49-16x² suggests the substitution ○ 4x = 7 sec Ⓒ O x = 4 sin…

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Q: = Find the area of the region pictured below that is bounded by the functions f(x) = x² - 9x + 20…

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Q: Use the properties of logarithms, given that In(2) = 0.6931 and In(5) 1.6094, to approximate the…

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Q: Find the area bounded by y = 12 - x, y = √√x and y = 1. • Enter a simplified improper fraction.…

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Q: Question Find the area of the region pictured below that is bounded by the functions f(x) = x² - 6x…

A: Topic - Area Bounded by curves

Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² lim (,) (0,0) 24+24 y² (a)…

A: To find the limit if exists or to show that the limit does not exist.a limx, y→0, 0 3x2y2x4+y4b…

Q: 1 Express the following functions in the form utiv • f(Z) = ln (1+z)

A: This is a problem related to complex number. Please follow the procedure given below.

Q: Question Find the area, in square units, of the region bounded on the left by the line g(x) = 2x +…

A: The objective of the question is determine the area bounded by the given function.

Q: Step 4 now find the time when v=0 v=0 t² -€/ - 2 t (10-²) 10t - 10 here t=0 is the starting point so…

A: Solve the following

Q: (3) Find the radius of convergence of a) infinite b) 1 not defined 0 infinite X Σ₁ F

A: The given series is: ∑j=1∞xjj2 Let, aj=xjj2; j≥1