Write the equation of the sphere in standard form. 4x² + 4y² + 4z² = 24x - 4y - 28 Find its center and radius. center radius (x, y, z)

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

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Q: Q Search mail Given the function f(x) = -4x² Find the difference quotient f(x+h)-f(x) h f(x+h)-f(x)…

A: answers are in step 2.

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A: Transformatin rule:y = -fx :  reflect fx about x-axisy = fx + C: Move fx up C unitsy = fx - C: Move…

Q: Evaluate the integral 1 - 3x dA, D where D is the triangle with vertices (0, 0), (2, 0), and (2,4).

A: Those given point a triangle whose vertices are given as  ( 0 , 0 ) ( 2 ,0 ) & ( 2 , 4 )

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Q: Evaluate the iterated integral S S (11x+10y (11x+10y + 14)dx dy. 4-2

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Q: so what is the answer for xi and f(xi)?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: O stretch horizontally by a factor of 9, then shift down 6 units O shrink horizontally by a factor…

A: We will find the required

Q: If f(x₁) 0 and f(x₁) > 0 then f has a A at x₁. If f¹(x₂) = 0 and f11(x) < 0, then f has a A at x₂. =

A: As per second derivative test:   If f'(a)=0 and f''(a)&gt;0 then f has a local minimum at x=a.   If…

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: f has domain [0, 6]; f(0) = 0; f(6) = 4; increasing and concave down on (0,6)

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Q: The following is a graph of a logistic function P=(L)/(1+Ce−kt) The marked point (25.60,17.5) is…

A: The solution is shown below-

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A: Box

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A: y=-8t+6t5+9t6d dt(tn)=ntn-1

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Q: Evaluate the integral √2 S s² + √5 2 ds

A: Use the Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1   To evaluate the…

Q: Find the derivate of this function]: a) f(x)= = e* b) f(x) = 6x²2x₁ F'(x) = c) f(x) = (6x - 5)(2x…

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Q: Consider the following planes. -2x + y + z = 2 10x - 5y + 2z = 4 (a) Find the angle between the two…

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Q: Differentiate y = ψ y=5 k=0 Σ(k - 4)ak. k=0 ---

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Q: 42. Use cylindrical coordinates to find the volume of the region bounded below by the plane z = 1…

A: The solution is shown below-

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Q: 15. Graph the function f(x) = -2x² + 6x + 2 with the help of the basic graph using graphing…

A: Note:- Since you asked multiple solutions ,as per our policy we can solve only first question for…

Q: Expand f(x) = 4x² + 10x + 10 as a power series around x = -1. f(x) = (x + 1)² + (x + 1) +

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Q: 2. If f(x) = cos x², what is f"(x)?

A: Since the student has mentioned to solve more than one question but according to our guidelines, we…

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Q: Revenue The following spreadsheet gives annual production costs and profits at Gauss-Jordan…

A: To find the revenue in each sector in each year.

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Q: Evaluate the integral 32 ¶¶(4-y²) dy dx. 00

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Q: Determine the truth set of the predicate: P(x): x € R/ x² − 3x + 1 = 0: 2 Solution: This is {x € R |…

A: Given Predicate: P(x) : x∈R ∧ x2-3x+1=0 To find: The truth set of P(x)

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Q: Let f(t) = (t² + 4t+6) (7t² + 3). Find f' (t). f' (t) Find f'(3). f' (3) =

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Q: Find the absolute extrema of the function on the closed interval. g(t) = = [-3, 3] minimum maximum…

A: extreme point of the function gt=t2t2+2, -3, 3

Q: here are 8 toll of carpet. Each roll of carpet is 6 yards long. How long are the 8 rolls of carpet…

A: Given, total no. of carpet  rolls= 8 units Length of each roll = 6yards

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Q: Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart.…

A: Given : their bases 100 ft apart BD = 100 ft let BC = x  CD = 100 - x

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Q: 5. f(x) is a continuous function. Use the information summarized below to sketch a graph of f(x). y…

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Q: Linearize ​f(x)=2−x for a=1 and use it to approximate the value of 1.8.

A: Given function is f(x)=2-x  for a=1