Show the power set of the following set: A = { {5, 4, 7} , 8, {1} } Question: What is the cardinality of the power set of the set above?

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Q: 1. Use the definition to show that x² - y² lim (x,y)→(0,0) x² - y² = 0.

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Q: a- Use Newton-Raphson method of solving nonlinear equations to find the root of the following…

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Q: Evaluate f C F = (x² +

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Q: 4) Solve the differential equation x²y" - 3xy + 7y=0, x > 0.

A: Given differential equation is x2y'' - 3xy' + 7y = 0 , x > 0

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Q: How Find y(0-3) For y₁=X²+y², y(0)=1 h=0:1

A: For the solution of the problem follow the next step.

Q: Find the null space of the following matrix: A= [( 1,0,2,),(0,1,1),(0,0,0),(0,0,0)]

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Q: 1. Determine whether the following sentences are prepositional: a. Jakarta is the Capital city of…

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Q: 3. Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous or nonhomogeneous C. -2…

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Q: the following definition using symbols:  A function f(x) is increasing iff for every real x and…

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Q: Use the matrices below to perform the indicate operation if possible. If not possible, explain why…

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Q: Sketch the region enclosed by y = 7x and y 87². Find the area of the region. =

A: Area of the region enclosed

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A: We will take an example to understand the situation better Take r1(t) = < t, t2 > and r2(t) =…

Q: Solve the following Initial Value Problemsing Laplace transform: -8t y" − 9y' + 8y = e ; ; y (0) =…

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Q: A periodic function f(x) = g(x+2x) f (x +27) us given by x+ π -TULX LO π-x, 0≤xs t 2 a) Sketch f(x)…

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Q: 27. (Critical point) What kind of critical point does y' = Ay have if A has the eigenvalues -6 and…

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Q: se the divergence theorem to calculate the surface integral F · dS; that is, calculate the flux of F…

A: Given that Fx,y,z=xyezi+xy2z3j− yezk S is the region bounded by the coordinate planes and the planes…

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Q: Determine the general equation of plane I passing through the point (-4, 3,-1) and parallel to the…

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Q: Find an eigenbasis and diagonalize. (Show the details.) 101 72 9. ³. [_144 144 -103_

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Q: the differential e 1/2 ( x + xy²) d 4

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Q: (a) Represent the above diagram as a graph with vertices representing land masses and edges…

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Q: Given y₁ (t) = t² and y2(t) = t¹ satisfy the corresponding homogeneous equation of t²y" - 2y = 2-t,…

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Q: Problem 3 Given: Arg(Ln(z)) = 3 (radians) and |2| = 70. Find S = Im(z) + Re(z)

A: The solution is given below

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Q: Use the graph on the right to answer the following questions. a. Estimate the pressure at altitudes…

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Q: Ex/l let fi[1₂1]->R be function 3 x70 f(x) = 2 Is the function integrable and Continuous?

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Q: 4. 1-3 cos x-4 cos² x 2 sin² x 1-4 cos x 1- cos x

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Q: For what values of p is the series convergent? ∞ Σ(−1)n-1 (Inn)² n=2 n³

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Q: Find the first four nonzero terms of the Taylor series about 0 for the function f(x) = √√1 + x…

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Q: f5 4 18-21. The production function for making widgets is P(x, y) = 4,600x3/8y5/8 Where p is the…

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Q: The differential equation dP = 10-4 P(318-1.7P) dt models the growth of the United States population…

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Q: Example. The three-point Gaussian quadrature formula is given by: Use the above formula to…

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Q: 2. Define f(x) = for j=1,2,3,.... with domain S = R. 1+jr (a) Find f(x) = lim f(x), the pointwise…

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Q: Let V be the vector space of all 3 × 3 matrices with real entries, and consider the linear…

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Q: In your response, please be sure to label the relation as (a) linear, quadratic, or exponential, (b)…

A: In statistics, a regression equation is used to determine whether or not there is a link between two…

Q: Find the derivative of the function. sin(x) y = In(1 + 7v) dv g'(x) = Jcos(x)

A: Solution

Q: Find singular value decompositions (SVDs) of the matrices A [101] 1 and B= [10 10 84.

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Q: The slope of the surface z = ry² in the r-direction at the point (2,3) is. slope of this surface in…

A: We have to find the slope of surface z=xy2  in x direction and y direction at point (2,3).

Q: 3- Write two examples about converting an equation from polar form [contain 1.0] to rectangular…

A: To write two examples about converting an equation from polar to rectangular form.

Q: The entire graph of the function fis shown in the figure below. Write the domain and range of fusing…

A: To find the domain and range of the function.