a) The transformation T(")=(√²³) - x - √√3y angle and sketch the unit square under the transformation T. is a counterclockwise rotation through an angle 0. Find the

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A: Given f(0)=1 now we have find   limx→0f(x)=limx→0(sin2x2x)=1  ( By property)

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Q: Let f(x, y) = 6 - 3y³ - yx² + 2x² + 2y² and h(x, y) = 2x² + y². a) Find all the local maximum and…

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Q: The data points are given as follows: 0 0.0000 X f(x) 0.1 0.0819 0.2 0.1341 0.3 0.1646 0.4 0.179…

A: given x 0 0.1 0.2 0.3 0.4 fx 0.0000 0.0819 0.1341 0.1646 0.179 calculate f'x and f''x at x=0…

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Q: Examine the elements that belong to "step-in incident investigation" at work. I. All information…

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Q: 8. Evaluate 24¹3 mod 11 a. 0 b. 1 c. 2 d. 3 e. 4 f. 5 g. 6 h. 7 i. 8 1.9

A: Introduction: The Fermat's theorem relates two relatively prime number numbers with congruence. This…

Q: could you please do the sketch for 1d?

A: We will find some points on the curve and use already found data to draw graph of equation .

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Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

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Q: Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by…

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Q: Find the limit infimum and limit supremum of the following x₂ = Yn where Yn is bounded. Хр n lim…

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Q: Given the double integral [ f(x, y)dA where R is the region bounded by the lines y = 0, z = 5 and…

A: 1. Given region is bounded by y = 0, x = 5 and y = x. So the limits would be from x = y to x = 5 and…

Q: y" + 3y' + 2y = 8(† — 5) + U₁0(t); y(0) = 0, y'(0) = 1/2

A: Solution :-

Q: thank you! could you show me how to do d

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Q: Based on your answers in (b), show that 12 1 1 2² 3² 4²

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Q: Use spherical coordinates to calculate the triple integral of 1 x² + y² + z² f(x, y, z) = over the…

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Q: I = ₁e²+¹dx_ Divide the integral into 5 equal parts (n=5) and obtain the numerical integral with the…

A: Given: integral is ∫24ex2+1dx and n=5 To Find : The numerical integral using Trapezoidal Method  and…

Q: A second-order recurrence sequence is defined by the system: u0 = 3, u1 = 8, un = 6n-1 - 8un-2   (n…

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Q: Let W be the set of all vectors of the form with r, s and t real. Find a matrix A such that W =…

A: Introduction: The matrix A should be m by n. The row space of A, abbreviated RS(A), is the area…

Q: For the system of linear equations below, solve for the values of w,x,y,z 6w-2x-z=5 6x - 5z = 1…

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Q: 5 Let T be a linear transformation from R³ to R² such that [7] = (1 2), where B = {(1,0,0), (0,1,1),…

A: Given T is a linear transformation from ℝ3  to ℝ2 such that TBC=512549, where B=1,0,0, 0,1,1, 0,2,3…

Q: 3. If the ratio of a pair of corresponding altitudes of two similar triangles is 4:7, and the area…

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Q: Let T: R³ R³, T(x, y, z) = (8x + 7z, y, 9x + 8z) be an invertible linear transformation. The inverse…

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Q: y' 5y t²-4 + cos t = = ty

A: Hints: Here we need to obtain whether the given equations are linear or non-linear and homogenous or…

Q: 26. Show that the function has removable discontinuity at the origin (sin 2x 2x f(x) = if x = 0 if x…

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Q: How many positive integers less than 10000 are there which contain at least one 2 or at least one 3…

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Q: Find the solution of the system of differential equations d²x dt² dx dt dy +x-3=3t dt dy -x+ -3y=8…

A: we solve  this problem by ordinary method .

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A: As per the Bartleby guidelines I am answering only first question. Kindly repost and ask to answer…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: C2 Let B = {b₁,b₂} & C = { C₁₁ 6²} be bases of R² Find a charge of coordinate matrix from C to B,…

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Q: 12) A bookstore has an annual demand for 20,000 copies of a best-selling book. It costs $0.10 to…

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Q: h(t)=-5t² + lot +3 ay how high above the water is the springboard? by when does the diver reach the…

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

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Q: [₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

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Q: QUESTION 11. Let S and T be the following subsets of the universal set U = Z: S = {n € Z: 5 does not…

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Q: b. C. graph: Find the Laplace transform of the function h: [0, ∞) → R with the following Solve the…

A: For (b), We are given the following graph. The line passing through 2π, 0, 3π, 3π:  y=3t-6π. So,…