Explain how addition and subtraction of complex numbers can be done in polar form. Justify your statement using an example.

Q: .Fishing story An angler hooks a trout and reels in his line at 4 in/s. Assume the tip of the…

A: We will use relative velocity and differentiation to find horizontal speed of fish

Q: Q2: Solve the given Differential Equation by Undetermined Coefficient - Annihilator Approach.…

A: The given problem is to solve the given non homogeneous differential equation by using the method of…

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Q: Use the theory of Lagrange multipliers to find the point (a,b) on the curve y = ex with the minimum…

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Q: Example 19.5 The dimensions of a rectangle are given in base 2. The width is 10₂ cm and the length…

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Q: Find the critical points for the function f(x, y) = x² − 2xy + 3y² – 4y and classify each as a local…

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Q: Using an Argand diagram, briefly explain the procedure for deriving the polar form of a complex…

A: General form of a complex number is z=x+jy where x, y are real numbers.

Q: Problem 4. From the unit vector u = (1), construct the rank-1 projection matrix P = uu¹. 6' (a) Show…

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Q: 3. If p is true, c (F), or if you true or false, Statement Truth V pVr T F

A: Given that p is true,q is false and r is false and w is not known.

Q: 8+1 Use At = 0.2 to estimate the distance that the bug crawls during this hour. Use left- and…

A: Consider the given function, v=28+t since, ∆t=0.2 and n=0 to 3 sub-intervals we get,…

Q: -ars? rate would be %. (If needed, round to 1 decimal place.)

A: We have used compound interest formula to find the required interest rate

Q: 2. Consider the following graph of electronic vehicles and other cars. 3.1 million EVS were sold in…

A: Graph of the passenger car sales is given in the question and with this, all the answers can be…

Q: Suppose that u and v are two unit vectors in 3D and the angle between them ㅠ 3* i. What is u xv|?…

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Q: The pounds of bananas sold each week at all Metro Seattle Alberstons stores as a function of price,…

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Q: 4. {(2,2), (4,4), (3,2), (5,7), (1,4)} 5. {(1,2), (3,4), (5,6), (7,8), (9,10)}

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Q: f(t) = -1 1 si 0<t<n si - π< t < 0

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Q: Let W be a subspace of Rn, and let x be a vector in Rn .Prove that x is orthogonal to W if and only…

A: It is given that W is the subspace of the vector space ℝn. This means that the basis of the subspace…

Q: Find a basis for the row space of

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Q: How many of the following characteristics can two different logarithmic functions share, while still…

A: To Find : How many of the following characteristics can two different logarithm functions share,…

Q: Discuss De Moivre's Theorem. Using an example, explain how the square root of a complex number can…

A: De Moivre's Theorem: The De Moivre's Theorem states that for any real number x, we have,…

Q: BONUS. Write the Mayan numeral for 999,999.

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Q: cost- sint √2 r(t) = (5e¹ cos t)i + (5e¹ sint)j +5k For the space curve below, T = Find B B=i+j+k…

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Q: Show that U = {f € V:|f(x)| ≤k, for some k >0} is a subspace of V, where V = {f: R→ R: f-function }…

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Q: For the sequence an = an-1 + an-2 and a ₁ = its first term is its second term is its third term is…

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Q: at An arrow is shot from the ground into the air at initial speed of Vo = 108 Ft /s (a) Use the…

A: Introduction: A function f(x) is maximum at a point x=a, when the second-order derivative of the…

Q: 1 Let x € (0, 1). Use induction to prove that xn for all natural numbers n ≥ 2. X

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Q: 2. Consider the following two strings over the alphabet {a, b, c, d}: S = abcd dabcd T = Which is…

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Q: 10.(2y³ – x³)dx + 3xy²dy = 0; when x = 1, y = 1

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Q: The curves f(x, y) = x³ + y - 1 g(x, y) = y³x + 1 rsect near the point (x1, 9₁). Using the point…

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Q: Consider the following. Write the above using cylindrical coordinates. (Choose 0 < A. Choose 0 < B.)…

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Q: The salinity of the ocean changes with latitude and with depth. Suppose the salinity to depths of…

A: Let d be the depth where the salinity of the sea water is 31. Then, f(d) = 31. =&gt; 28.6 + 1.1log(d…

Q: Find the critical points of the function f(x, y) = x¹ + y² − 64xy Answer: Starting with the point…

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Q: 5) Find the exact length of the curve defined by 1≤y≤8 5+2y%2 3 in the interval

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Q: In step2 , ur answer  says g o f is bijective then states its injective. Which one is it

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Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists). (If an answer…

A: The given matrix is    2   0   3   1-1   2-1   0-2 We have to find the inverse of the given matrix…

Q: Sketch the graph of the solution set to the following system of inequalities. y>x-5 y<-x-2 Use the…

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Q: 13 Identify which sequence of transformations could map pentagon ABCDE onto pentagon A"B"C"D"E", as…

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Q: 1. A 64 lb object stretches a spring 4 ft in equilibrium. It is attached to a dashpot with damping…

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Q: Problem 6. (a) If A² = I, what are the possible eigenvalues of A? (b) If this A is 2 by 2, and not I…

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Q: G B I R K Q Match each equation with a graph above y = 4(0.86)² y = 4(0.72)² ✓y = 3(1.11)² ✓y =…

A: Explanation is as follows

Q: time (x₂) 12 3 4 5 6 infections (y = f(x)) 32 37 34 48 53 69 depicts the number of newly infected…

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Q: aking the initial approximation x = 0.75, x=-1.75 and x) = -0.25, apply three iterations of the…

A: Given the system of equations, 4x1+2x2-2x3=02x1-6x2-2x3=143x1-x2+4x3=5. The initial approximation is…

Q: Consider the geometric sequence 1, 2, 4, 8, .... (a) Find the sum of the first n terms, Sn. Is there…

A: (a) Given  geometric series 1,2 , 4, 8,... The first term is a1=1 The common ratio is =2 Therefore…

Q: 3p + 151. Suppose the demand for a product is given by D(p) = A) Calculate the elasticity of demand…

A: Demand function: D(p)=-3p+151 Elasticity of demand is given by E(p)=-[pD'(p)]/D(p)

Q: V= 8 +1 Use At = 0.2 to estimate the distance that the bug crawls during this hour. Use left- and…

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Q: use some form of technology to determine the eigenvalues and a basis for each eigenspace of the…

A: Given : A=25-6121106-4412-21 To find : (a) Eigen value and eigen vector.             : (b) Dimension…

Q: An arrow is shot from the ground into the air at an initial speed of v0=108ft/s. Usetheformula…

A: Given information ht =-16 t2 +v0 t Here, v0 =108  ft/s  and  t1 =4,   t2 =6. So, Function is ht =-16…

Q: show that matrix  0   1      does not have LU factorization.                             1   0

A: Use the condition for the matrix to have a LU factorization.

Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = -24k…

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Q: oooo oo 0000 0 being displayed by the abacus. I moi gaitis12 ole 29. Convert the number 253eight to…

A: Please find the answer-in the next step.