Find the principal value using De Moivre's Formula 1. (1+i)2 6 2 (1-¹) * 2. 2 2

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Q: 5. A = 1 0 1 0 1 2 -2 0 0 0 2 1 3 1022 2 -2

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Q: B. 1. 2. 3. Find dy for the following equati dx X²+y²2-2x+3y=0 1 = 4 x² + y² x³+y³+4xy=5

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Q: 3. Let R(t) = (t²,1-t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: This is a problem of Vector Calculus:

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Q: If j varies inversely as 2b, and j = 12 when b -5, find the value of b when j = 30.

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Q: Q3\Find trigonometric function =3/2

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Q: ܚ ܝ ܝܬ [12 Find A 1 of The Matrix_A - 32-1 [3 1

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it dou every 6 hours,…

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Q: f(x) = x+4 2-x-2' any needs a part made that looks li

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Q: L[y''''] L[f"'''']

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Q: (f(t)} = (s > 0) f(t) (2, 2) 1 5. L Use the definition of the Laplace transform to find (f(t)).…

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Q: 3. Let R(t) = (t²,1-t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: The given vectors are  R→t=t2,1-t2,t and rt=cost To find: the tangent vector to F→t=R→∘rt at t=π4.

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Q: 1. Explain (write words!) how the graph of h(x) = -ax² compares to the graph of g(x) = ax². 2.…

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A: In this question, the concept of the Simpson Rule is applied. Simpson Rule ∫abfxdx≈h3∑j=1n2…

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Q: Use the following methods to solve for the root of the equation f(x) = xex sin²x -

A: To solve the root of the below equation using the secant method with x1=2, x2=2.5. fx=xe−x−sin2x

Q: Consider projection operator, if à() is global minimum, is ä(k+¹) = II[x(k)] = x(k) ? True False

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Q: Sketch the graph of the function

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Q: Q3\Find trigonometric function values if tane =3/2

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Q: 4. If y varies jointly as x and z, and x = 4 when y -19 and z = 10, find z when y = 15 and x = 11.

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Q: Consider the polynomial P(x) = x² + 3x³ − 2x² − 3x +2. (a) Determine another polynomial Q equivalent…

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Q: QI Graph the function y=x+4 Q2 y 2x+1 find the Domain func

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

Q: 2. Ifƒ (x, y) = log (x² + y²), then f +f, is equal to yy 1 (a) x² + y² (b) 0 y²-x² (c) (d) • (x² +…

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Q: shop makes donuts that serve 1 person each. For a party the baker is asked to make a large donut in…

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Q: y=0, 0*** (1 x= and show that it has no integrals that are regular mil A 14. Transform the equation…

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Q: 4 (a) Write out the multiplication table for Z6. How many times does [0]6 appear in each row of the…

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Q: Find the spherical coordinates of the point with Cartesian coordinates (4, −4, 4√6)

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Q: d²y dx² 0m (+) dx² −y=0, Ⓒadw stanierabot a doufw-mont x==1/2 and show that it has no integrals that…

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Q: 2. Consider the matrix A = (-₁-¹) Y, -9-P guarantees: (a) that A has two real eigenvalues? (b) that…

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Q: 2) F₁ / of (x,y) | = - pfe (psy) proof. (H-w-) If f (x,y) → o as as x→∞, then o

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Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

A: Please find attachment for the details solution