Find the equation of the sphere of radius 7 centered at (1, 2, 6). This sphere is given by:

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A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

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A: ince you have posted a question with multiple sub parts, we will provide the solution only to the…

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Q: EXERCISES #2 Find the standard equation of the circle satisfying the given conditions. 1) Center at…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 A) lim x → 2- B) lim x → 2+ 5- 4 3 2 1 D) f(2)=…

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Q: Let f(z) = J(+5)²+3 -2x+40 if a ≤1 if a>1

A: f(x)={(x+5)2+3 if x≤1−2x+40 if x>1

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Q: 44. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the…

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Q: Find all the roots of the following function f(x) = (x2 + 5)(2x4 -10x2 + 8)

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations.

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A: Given linear equation is -7x +9y -8z =1

Q: II2. Find an equation of the plane that contains the intersection points of the ellipsoid 9x² + 4y²…

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Q: 3x² - y² + 3z² = 0. a) rewrite the given equation of the quadric surface in standard form. b)…

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Q: = -x7/6. Compute the quantity f'(1). Let f(x) = -x7/6 ƒ'(1) = Number

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Q: The Taylor expansion of f for x→ 10 is f(x) = 10 + 3(x-10)² + 2(x-10)³ + 0((x a) ft (10) = -12 6) fr…

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Q: The formula d = 8t - 11 expresses a car's distance (in feet) from a stop sign, d, in terms of the…

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A: To find  such that the line is tangent to the graph of the function.Finction: Line:

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Q: Identify a function f that has the given characteristics. f(–5) = f(2) = 0;  f '(-1.5) = 0,  f '(x)…

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Q: Use the Laplace transform to solve the following initial value problem: y" - 6y +9y=0 y(0) = 1, y(0)…

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Q: Solve sinx-cos² * = cos² = 1 on the interval 0≤x < 2π. п 4 " бп 4 п 3п 2' 2 0, π Ο 0, π, 2π

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Q: 1. Given the polynomail P(x) = 2x³ + x² - 13z +6 and a given factor, (x-2). Use LONG DIVISON to…

A: GivenLong division

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Q: Which of the following are properties of the logarithm function:   a. ln(1/x) = -ln(x).    b.…

A: Which of the following are properties of the logarithm function:

Q: Which of the following expressions is equivalent to 2 sin x cos x 2 sec z seca 2 cos x COST 1 + sin…

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Q: Consider the parametric equations below. x=2²2²-1, y =t +4, -3 st≤3 (a) Sketch the curve by using…

A: The given equation  ,