II. Write the equation of the circle in standard form and in general form given its center and radius 1. C(2, 8) r = 6 2. C(-3, -2) r = 3 3. C(2, -2) r = 5

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A: According to question,Given curves;x = 10000012y-1x = 10000012y-19y

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Q: 4x2 + 4y? and Find the center of mass of the solid S bounded by the paraboloid z = the plane z = 11....

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Q: (In (ev=) +e-v=) Then ev-e-VE 2VT(ev#+e-v=) True O False

A: Topic = Derivative FALSE

Q: 1. lim f(x) = -1 and f(1)DNE %3D

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A: Given: Resistance R1 , R2 ,and combined resistance R are related as:1R=1R1+1R2where,  R1=50 ohms  , ...

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Q: Evaluate the integral: 7x/2x² – 5 dx ○ 중(222 -5)1 + O 중(2a22-5)- +C 7 21 o 글(272-5)-++C (2a² – 2 + C

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Q: Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x abou...

A: Given problem:- Determine the volume of solid obtained by rotating the region bounded by y = x2 – 2x...

Q: 6. (2xy + y) dx + (x? - x) dy = 0.

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Q: 10 In the diagram, the sphere touches each face of the cube at one point–the center of each face. If...

A: Given that each side of cube,a=5Solution ; According to given diagramradius of spheare,r=a2A reasona...

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Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 5 sin 2x y(x) =

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Q: On what category of Methods in finding roots of nonlinear equations does the Newton-Raphson method f...

A: Topic:- calculus

Q: Solve the following DE using separation of variables or method used in solving exact DE

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 X-intercept...

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at x=2...

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Q: In an airplane control problem, an airplane is flying in still air with an airspeed of 275 mph. the ...

A: Let's find. 

Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. 1-X 1 f(x) = g(x) = ...

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Q: Find an equation of the line tangent to y = xinx at the point x = 1.

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Q: For which points the following function is continuous y f(x) = (2x – 4)2 – 4 %3D

A: Given the function is y = f(x) = (2x-4)2-4

Q: 1. Find the vector equation, parametric equations and symmetric equations of the line passing throug...

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Q: D. Given the following polar equations, find the eccentricity and identify the type of conic; write ...

A: We know that the polar form of a conic with directrix x=±p and the focus at origin has form: r=ep1±e...

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Q: (a) Suppose g(x) = L flm2, f(1) = 3 and g'(1) = 7. Find f'(1). f(x))² * (b) If g is a twice differnt...

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Q: Watch the video and then sove Click here to watch the video. For the given functions, find (f o g)(x...

A: We have to find out function

Q: 10 – 3x°dx_ Land de In (cose)

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Q: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

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

Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: 4. Find the area of the triangle with the vertices A(2, –3,4), B(-1,-2,2), and C(3,1,-3) then find t...

A: We will find the area and the angle of the triangle.Where points A, B,C are given.Below find the sol...

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =...

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Q: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of in...

A: Here we use the basic concept of differentiation for finding the relative maximum and point of infle...

Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = - 7x². f and a) Find the domain of f, ...

A: The given functions are f(x)=5x-2  &  g(x)=-7x2

Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)...

A: Let's find. 

Q: 5*+1.In5 +C e5 - s*) dx 5 л+1 A) True B False

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Q: (1 + cos x)y’ = sin x(sin x + sin x cos x – y)

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Q: Obtain the differential equation of the following by eliminating the arbitrary constant(s): 1. xy+ x...

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Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A: Given :f(x)=3x+1g(x)=x

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Q: Given the differential equation ty" + 5 ty' - 12y = cot(t) Find the Characteristic Solution for the ...

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Q: Find an exponential function of the form P(t) = Pon that models the situation, and then find the equ...

A: Given Tripling time = 4 months Initial population P0=4000 Exponential functionPt=P0ntT

Q: ns: Find the tangent plane to the surface of x2 + z² = y² + 9 at (1, –1,3). 3

A: Follow the procedure given below. 

Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A:     ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: Determine each feature of the graph of the given function. -x² + 2x + 8 f (x) = 2x2 16х + 32 Horizon...

A: Given:- f(x) =(-x2+2x+8)/(2x2-16x+32)  To find:- Horizontal Asymptote Vertical Asymptote X intercep...

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: Given fx=x25-9x if -1≤x≤0if      0<x≤1

Q: 21. cos x cos 2x + sin x sin 2x

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Q: P1. For each of the following infinite series: a) Determine n-th partial sum Sn b) Show whether the ...

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