A circle C passes through (1, 1) and cuts the following two circles orthogonally: S, :x +y-8x-2y+16 = 0 S, :x'+y -4x-4y-1=0 Find the equation of C.

Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: Solution :-

Q: 26: Define the integral domain ring. Is every ring integral domain? an

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Q: 6.14 Table 6.1 (Weisberg 1985, Faithful Geyser in Yellows variables arex=duration c Can x be used to…

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Q: Use the tabular method to evaluate the integral |(* + 2x – 1) cos(4x)dx

A: The formula for integration by parts is ∫udv=uv-∫vdu. The tabular method is a simplified form of the…

Q: SOLVE THE FF AND MAKE SUE THA YOUR FINAL ANSWERS ARE IN 4 DECIMAL PLACES. MAKESURE YOUR SOLUTION IS…

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Q: 7. The solution of one dimensional heat equation ди = 0,u(x,0) = 5 sin x – 2 sin 2x at 1-0 u(0,t) =…

A: Given one dimensional heat equation is∂2u∂t2=c2∂2u∂x2u(0, t)=0, u(3, t)=0, ∂u∂tt=0=0, u(x,…

Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: For one digits we have 10 choice For 2 digits we have 10*10 =100 choice  For one  Uppercase latter…

Q: Determine whether each of these functions are invertible. If it is, find its inverse. a. f:R → R…

A: The function is said to be invertible if the function is one-one and onto The function is one-one if…

Q: For every item given below, determine which kind of algebraic structure it is, and give at least one…

A: No-7) Given  G=Z+  defined by (a*b) =min(a,b)a      where ... is absolute value. First check about…

Q: a one to one function fr om X into Y and {A

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Q: 3. Evaluate the integral x³ – 2x² – 4 dx x³ – 2x?

A: Given integral is ∫x3−2x2−4x3−2x2dx. We have to evaluate the given integral. Take a partial fraction…

Q: Find the solution of the follo wing Diffevential Equations 22) uý - 45+37y=0 y(0)=3

A: To find the solution of a given differential equation first we will find its auxiliary equation…

Q: A company's marginal costs (in hundreds of dollars per year) over a certain period are shown in the…

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Q: 3. Evaluate the integrals: 1, = [sin-rdt and /; sin xdt using the following methods: (a) Simpson's…

A: (b) Consider the given integrals; I1=∫0πsin2xdx The Simpson's 38 rule is defined by the formula;…

Q: Let N (h) be the approximation of f'(xo) with some numerical differentiation scheme depending on h.…

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Q: Thomee standord

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Q: Find the interval of convergence for the follov ing power series E(coth n)x" n=1

A: We have given that a series , ∑n=1∞ coth nxn We need to find interval of convergence. Clearly ,…

Q: 18, where 1, 2, 5. Consider the solutions are there uation 2i Eg + Tg + Tar uovenba (a) if z1, r2,…

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Q: Find the circulation and flux for the field F(x, y) = (y – 6x² , x+y²) around and across the…

A: Given data field Fx,y=y-6x2,x+y2 around and across the triangle given by y=0, y=x and x=1.

Q: If L-[F(s)] = f(t), evaluate f(0) given by the expression F(s) : (s+2) %3D s2 (s+1)'

A: Solution

Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

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Q: 4. 2i 5. Ln (-3 + i4) 6. (1– i)?-i3

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Q: sing Logarithmic Differentiation, find dy given that dx -3 sec-1(VT) y = 4* (log, x)sech x

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Q: Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y is…

A: Given function is fx,y=1,           x,y=1,−1x2+yx+y  ,x,y≠1,−1 . We have to show that the given…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

A: To find the given questions :-

Q: (a) The speed of a motor supplied with a voltage input of 30V, assuming the system is without…

A: (a) The speed of a motor supplied with a voltage of 30V, assuming without damping, can be expressed…

Q: A function g(z) is strictly increasing if g'(z) > 0 on its domain. Assume the supply and demand…

A: The supply function is specified in the problem Qs=SP,T Price (P) and tax (T) on the other hand are…

Q: A small software corporation borrowed $380,000 to expand its software line. The corporation borrowed…

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Q: Q14: Define subring. Is the set S = {(" is a subring of the ring M %3D of all 2 x 2 matrices?

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Q: Guten the olrne Puith equrtim ge ry-g = 3. and line Lusithugmmetre equrtim e = 1 - y = g. determine…

A: If the plane and the line intersects, then we need to determine the intersection point, otherwise,…

Q: Use the Laplace transform to find x(t) and y(t)

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Q: X dy+y dx ex cost dx dy 6- %3D CoS X -zy

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Q: A company manufactures notebook computers. Its marketing research department, using statistical…

A: For a function of the form: y=f(x), x is the independent variable and y is the dependent variable.…

Q: B. Prove that, if I is an ideai of the ring Z of integer numbers then I=, for some neZ'u{0

A: To prove, if I is an ideal of the ring Z of integer numbers then I = < n > , for some n∈ Z+∪…

Q: One windshield wiper is 50 units long and is affixed to a swing arm which is 80 units long from…

A: Here, Top of the windshield wiper is 80 unit long from pivot point. Bottom of the wiper is…

Q: DISPROVING. Let P,Q, R and S be propositions. Disprove: (PvR) ^ (P→Q) ^ (R→S)) = (Q v S)

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Q: Solve for the value of “x" |3 -4 7 2.) – 5x = 8 2 -6 -5 91

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Q: d'x dt? de - 4x =0 ,x(0) = 1,(0) = 2 di dt

A: Follow the steps.

Q: valuate the integral x³ – 2x² – 4 dx х3 — 2x7

A: Using partial fraction

Q: 2. Detemine if the following integral converges or diverges. If the integral converges, find its…

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Q: Solve b Rinite diffrence mcthedt Itx2 yot=t25,y4)=095 メ+\

A: We can solve this using finite difference method

Q: = Define maximal ideal, prime ideal.

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Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4xr

A: Consider the given function, fx=3x4-4x3 Here we need to sketch the graph of the given function using…

Q: 3. Find the Laurent series of f(2) = Log ( ) for |2| > 1. %3D z+i.

A: Please find the  answer in next step

Q: For Problems 9 and 10, prove or disprove the following. 9. ez = ez 10. Ln z = In Z

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Q: Find the centroid of the area enclosed or bounded by the given curves: y=x^3, x=2, y=0

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Q: If any Point o inside eR ouside a tetrahedron ABCD is Joined to the Vertices and AO BO, Co ,DO are…

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Q: Q28: Define the concept of field. Is (R-{0},+,.) field?

A: Field:  A field is a set F with two binary operations on F called addition and multiplication which…

Q: Solve for the values of x and y using LU Decomposition from the given matrix and prove that PA-LU or…

A: