Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

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A: Given query is to find the value of a and b.

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A: Here we have to find the area.

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A: Solution:

Q: 71 Compute Σ (5k2 + k - 3) i=1

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A: The idea of ratio test must be there to understand it properly. The explanation part is given below.

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Q: QUESTION 15 Find the polar equation for the curve represented by the given Cartesian equation. x + y…

A: To find the polar equation of the curve with given cartesian equation.

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Q: 1. Determine the following using the graph off provided below. If the value is infinite, specify oo…

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Q: F't) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 %3D r(t) = efi+ etj K(t) :

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Q: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on…

A: Question is solved step by step.

Q: Determine whether the series converges using the limit comparison test. Σ20k²+k-20 k=1 The series

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A: Solution of given question is written in below steps.

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = t - 6t2 + 9t + 11…

A: s(t)=t3-6t2+9t+11 Differentiating with respect to t s'(t)=ddt(t3-6t2+9t+11)=3t2-6*2t+9+0=3t2-12t+9…

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Q: Compute the Jacobian for the change of variables given by u= x+y and v=x-y. O a.-2 O b. 1 2 O c. 1 2…

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Q: dy dr a. r+y = 8 Find for the following=

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Determine whether the series converges. 1 k+11 The series

A: The given series,    ∑k=1∞1k+11

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Q: d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: 2. Find the critical points of f(x, y) = x³ + 2y³ – xy and analyze them using the Second Derivative…

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Q: Question 2 Suppose f(6) - 5 and f'(6) = 5. Find the following. = da ((7x² + 3x + 5) el(z)) at x = 6…

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Q: Strontium-90 is a radioactive material that decays according to the function A(t) = Ao e -0.0244t,…

A: Given : a.   Decay rate = -0.0244= -0.0244×100%= -2.44 %

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Q: Area of the plane region y=2x^2+1 and y=x^2+5

A: To find the area of the plane region bounded by the given curves.

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Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

A: Given query is to find the value of the Indicated integral.