Find an equation of the sphere with points P such that the distance from P to A(-3, 6, 2) is twice the distance from P to B(4, 2, -1). Find its center and radius. center (x, y, z)= radius

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A: To find:-

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) (a) (b) (c) 7 -1 y 5…

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Q: Directions: Determine if the given function is a solution of the following initial value problem.…

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Q: (a) If (x, y) = (8, 8) then (r, 0) =( (b) If (x, y)= (13, 8) then (r, 0) =( (c) If (x, y) = (-1,-6)…

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Q: Consider the following. x - 7, f(x) = x² + 5, - X, for x ≤ -1 for -1 1 Find lim f(x). (If the limit…

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Q: State if true or false: a) If g(x + 2) = f(x), then the g-curve lies to the right of the f-curve b)…

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Q: Consider the following piecewise-defined function. f(x) = -2x²-x+8 3 --x-3 4 if x ≤ -4 if x > -1…

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Q: a plane flying horizontally at an altitude of 2 miles and a speed of 400 mi/h passes directly over a…

A: A plane flying horizontally at an altitude of 2 miles and a speed of 400 mi/h passesdirectly over a…

Q: 3x4+2x³+1 x +∞0 2x5+x+1 d) lim

A: The limit is given byTo determine: the value of the limit.Formula used:

Q: Give a limit expression that describes the left end behavior of the function. 7 42x + 3x 2 18x - 2x…

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A: The radius of a cylinder is decreasing at a constant rate of 8 meters per minute. The volume remains…

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A: (.) Given points are,     We have to find direction of .

Q: Directions: Calculate the following indefinite integral (make sure you include +C as part of your…

A: we need to find out the integration.

Q: For what f(y) value of the constant c is the function f continuous on (-∞, ∞) where (cy +7 if y ≤ 2…

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Q: Directions: Solve the initial value problem. Solution: y = y = t¹/²y² and y(1) = 7

A: We use the concept of variable separable method of differential equations to solve the given initial…

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Q: /4 √2/² x sin 2xdx.

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Q: Verify that y = c sec² x is a general solution of y' = 2y tan x, where c is an arbitrary constant…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) (a) (b) (c) -8 -7 -6…

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Q: A rectangle has dimensions x+10 and 5x-4, where x is in centimetres. If the area of the rectangle is…

A: length : l = width : w Area =

Q: dy 2 Use an appropriate substitution to solve the differential equation ==y=-x³y dx x 3.3

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Q: Question 2. Chun starts with numbers a, b 20 and puts them on a line. Then they draw a semi-circle…

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Q: 1 1 2 [² ( ₁ + ²/2w² - ²/₁²) ₁ 10) 1+ du 0

A: The given integral is .The aim is to find the value of the integral.

Q: [9x cos(3x + 8) dx = Select one: a. 3x sin(3x+8)-cos(3x+8) O b. 3x sin(3x+8)+cos(3x+8) C. d. + C + C…

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Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

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Q: -6 2 -2 6

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Q: 2. Solve the following initial value problems: dy a) + 2y = 3, y(0) = 1 dt dv

A: Note:-Since you asked multiple questions which are not interlinked, according to our policy we can…

Q: Find an equation of the line tangent to the graph of f(x)=x at (-1,-1). The equation of the tangent…

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