Given: A(2, -5, 2), B(3,3,-4) and C(-3,2,4) Point in the z axes that is equidistant to both A and B Sphere centered at C that contains B. Find the midpoint of AB

Q: 9. (D² - 4)y = e²x + 2. Ans. y =

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Q: r(t) = (8tet - 6)i + (sin(3t) − 2)j + (4 ln(t + 1) + 5)k. dr (a) Compute (0) and -(0). Show your…

A: Concept: Putting the value of t=0 in the vector we will get the value of r→(0) and r→'(0)  Then…

Q: (1 et A = (2, -3) and B = (-3,3) be points in R2, and let C = (4, -4, 4) and D = (2, -3, -1) be…

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Q: 42. Approximatesin (x²+1)dx by integrating the 6 th degree power series for the function centered at…

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Q: (2xy — sin x)dx + (x² − cos y)dy = 0 -

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Q: (a) Find the average rate of change of y = 3x² with respect to x over the interval [0, 2]. rave =…

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Q: Solve (x − y + 3) dx − (x − y) dy = 0 ○ (x − y)² + 6x = C O (x - y)² - 4x +y = C O (x - y)² + 6x -…

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Q: y = e(c₁ cos 2x + c₂ sin 2x)

A: y = e-x(c1 cos 2x + c2 sin 2x) So, y' = - e-x(c1 cos 2x + c2 sin 2x) + 2e-x(- c1 sin 2x + c2 cos 2x)…

Q: Let N, H. S. D, R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

A: Mr. Smith lives halfway between Detroit and Chicago if and only if Mr. Robinson and Mr. Jones lives…

Q: theofthewing DE Show your completion 8. y(3x²-e) (2y-5)

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Q: 1. 1. s. Find the general solution to each of the following differential equations. Write the…

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Q: B. Given the initial value problem (4 x³y— 18x²+y\dx+(x¹+3y²+x)dy=0; y(1)=–2 1. Determine if the…

A: If the differential equation is of the form Mdx+Ndy=0. And the equation is exact i.e., ∂M∂y=∂N∂xthen…

Q: Suppose that the function fis defined for all real numbers as follows. 1+x² if x S Is the function…

A: Topic = Functions

Q: Problem 3: Determine the two-variable function F(x, y) if F₂(x, y) = xexy - y given that F (₁,₁Y) =…

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Q: u.w= Perform the following operations on the vectors u = (-2, 1, 0), v = (-3, -5, -3), and w = (5,…

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Q: Let f(x)=4x 2+12x−2 Using the definition of derivative, f'(x)=limh→0 f(x+h)−f(x) /h, enter the…

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Q: Find the arc length parameter along the curve from the point where t = 0 by |v(T)|dt. Then find the…

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Q: Eliminate the arbitrary constant: y = e¯*(c₁cos 2x + cösin 2x)

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Q: 2. Evaluate the following and give the exact value: π/2 cos y are the (sin(y + 7) dz [** dx dy

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Q: Determine whether the given series is convergent or divergent, and why. If it is convergent, find…

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Q: 8. X lim 2 xxx +8x

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Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

A: The graph of the line L is To evaluate: The equation of line L which is perpendicular to the line y…

Q: Using Undertermined Coefficients, solve the following: 4. 4y" +4y' + y = 3xe*

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Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

A: Let l1,l2 be the legs of this triangle and h be the hypotenuse. Then from Pythagoras theorem we…

Q: What is the cardinal number of the set below? C = {Clemson, Colorado, Chico State, Columbia,…

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Q: A loan shark lends you $90 at 2% compound interest per week (this is a weekly, not an annual rate).…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=90 r=2%=0.02 (weekly rate)…

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A: The given region enclosed by the graph of: y=x2, y=8-x2, right of x=1 Axis of revolution is: y axis…

Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

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Q: 10. f(x) = x²-1 x-1

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Q: 54. Determine the particular solution of the following differential equation: y'= 2yx Where: x=1;y=1…

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Q: xy dx - (x + 2y)² dy = 0.

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Q: 10. Determine the particular solution of the following differential equation: dyxy+2y-x-2 xy-3y+x-3…

A: The given differential equation is: dydx=xy+2y-x-2xy-3y+x-3  ;      y(4)=2

Q: X 7. lim 2 x→0+ x² +8x

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15 -…

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Q: 22. Approximate the curve cos (3x) + 2 with a Maclaurin polynomial. A. 2-(3x)² +2+ (3x)² +2 + 4…

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Q: Evaluate the indefinite integral using the Integration by Parts formula with the given choice of u…

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Q: 1. Evaluate the following integral Si -10 2t²cost 8(t-n) dt

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Q: 56. s 1 √x² +9 dx

A: See this solution in below.

Q: Trig identities. Use what you know to prove the following identities: tan^2(x)+1=sec^2(x)

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Q: If f(x) = tan x, then lim TT A (B C D 0 tan (1) sec² (4) nonexistent f(x)-f( =) x-7 is

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Q: Let f(x) = 1 X (a) Simplify f(2 + h) − f(2) h Algebraically simplify your answer until you have…

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Q: (1 t) Let A = (2, -3) and B = (-3, 3) be points in R², and let C = (4,-4, 4) and D= (2, -3,-1) be…

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Q: Let N. H. S. D. R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

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Q: Find the solution of each of the following initial value problems. -y=2te²t, (b) y' + 2y = te-2t,…

A: Note:-  As per your request i m solving part (a) from the given sub parts..

Q: 17. [x — y arctan(y/x)]dx +x arctan(y/x)dy =0.

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Q: Eliminate the arbitrary constants y = e^-x (C1 cos 2x + C2 sin 2x)

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Q: 40. Given that A. -85 18 ¹-90 18 B. C. D. ¹-85 16 E. -5 18 x 4-12 18 =[% = Lin-1 what is equal to?

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Q: Determine the solution for the following differential equation. Check first if the equation is an…

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Q: Let N, H. S. D, R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

A: Given proposition is  If Mr. Robbinson lives in Detroit, then he does not live in Chicago.    Now…

Q: Problem 3: Determine the two-variable function F(x, y) if Fy(x, y) = y sin(πxy) - x given that F(x ²…

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