3) Approximate the change in the surface are of a spherical balloon when the radius decreases from 4 m to 3.9 m. Express this change using differential notation.

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Q: 3. On the graph of one cycle of a sinusoidal function, the maximum point is (-2, 10) and the minimum…

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A: Please see the attachment

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: P(Type I Error) =P(reject H0 when H0 is true) = P(Xbar<c when μ = 40) Given : μ = 40 , σ= 6…

Q: QUICK CHECK 5 Which of the following functions are continuous at (0, 0)? a. f(x, y) = 2x?y5 b. f(x,…

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Q: a. Suppose f : R? → R° is a linear transformation such that () Then f b. Suppose f : R2 → R² is a…

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Q: In a survey of women in a certain country (ages 20 - 29), the mean height was 62 9 inches with a…

A: Given Data : Population Mean,μ = 62.9 Population Standard Deviation,σ = 2.71

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Q: Calaulaty the commutators.

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Q: Let é1 = (1,0), e2 = (0, 1), #1 = (-7,4) and #2 = (7,–9). %3D Let T : R? → R² be a linear…

A: The given information is e1→=(1,0),e2→=(0,1),x1→=(-7,4) and x2→=(7,-9) T:R2→R2 is a linear…

Q: order differential equat neous equation: Solve +6y=x² I 127 dy ) 108 dx 0, y = 5 18

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Q: If Ea,x" converges on the interval [- 10,10], where does the series a, (2x - 2)" converge?

A: The Series converges on [-4,6].

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Q: 1). For the matrix given below. Find a). Basis for row space. b). Basis for column space. c). Rank…

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Q: 4. points] Find the equation of the tangent plane to the surface a? 2yz + z3 = 0 at (1, 1, 1).

A: This question is based on 3-d Geometry.

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Q: Let f(x) = Σ(-1) ¹ n=0 X¹+1 n+1 *(-) for x € (-1,1). Find f' 1 ∞ 2Σxª. Fim² =(- -)- where g(x) = Σ…

A: Recall following infinite series : (1) log⁡(1+x)=x−x2/2+x3/3−x4/4+⋯,|x|&lt;1 (2)…