Express the complex number z = 1.5e1.18j in the rectangular form z = a + jb. Enter your answers correct to three decimal places. Enter a = Re(z) : Enter b Im(z) : =

Q: Two identical circles of radius r are inscribed in a rectangle as shown. ∞o (a) Express the area of…

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Q: Use the GCF and the Distributive Property to find the sum. 30+78 Write each number as a product…

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

Q: 2. Find the partial derivatives with respect to x and y of the following functions. (a) f(x, y) = x²…

A: According to bartleby guidelines we do only first three subparts and rest part can be reposted.

Q: Q2: Why (z-zo)" dz = 0, at n # -1, where y is given by lz - zol = r.

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Q: The tangent plane to the graph of the function f(x, y) = ey at the point with x = 1, y = -1, a) has…

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Q: Prove that 45 is irrational.

A: To prove: We have to prove that 453 is irrational.

Q: Number 7e help me

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Q: 7. Determine (with proof) if the following series is converging absolutely, converging conditionally…

A: The given series is ∑-1nn+1lnn+1.   The alternating series test states that if an is a positive…

Q: 27. dy dt dy -y², y(0) = 1/2 28. =t²y³, y(0) = -1 dy dt dy

A: We have to solve given differential equations.

Q: 5. Let y = f(x) = 3 sin |2 Amplitude Midline sin [2 (x − ²)] - +1. Determine the following. Period…

A: 5. Given,                y=f(x)=3sin2x-π5+1.

Q: A couple pays $600 at the end of each 6 months for 5 years into an ordinary annuity paying 6%…

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Q: 9. Let A be a nonempty set. Prove that if f is a bijection on A and fof = f, then f is the identity…

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Q: 0. X 1 3 v y -77 -3 LO

A: Given data set x y 1 -1/3 3 -3 5 -27 7 -243

Q: ✓ So lue Kind melr 4

A: Answer given below.

Q: nearest cent.) (a) annually $ (b) semiannually $ (c) quarterly al Test. Find the amount at the end…

A: Answer given below.

Q: (Section 5.3) i. Show that the vectors v₁ = (1, 2, 3, 4), №₂ = (0, 1, 0, −1), and v3 = (1,3,3,3)…

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Q: Consider the following. -1 -1 0 -5 0 0 1 -3 0 04 0 -2 0-4 12 2 (a) Verify that A is diagonalizable…

A: Given:  A=-1-100-50-20-4, P=01-3040122 a We have to verify A is diagonalizable by computing P-1AP.…

Q: 1. Bob, Glen, and Paul are once again sitting around enjoying their nice, cold glasses of iced…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: es The value of L{8(t-5)} is B. e-5a C. D.

A: Let us consider ft=δt-5. To find the value of Lδt-5. That is to find the Laplace transform of δt-5.…

Q: 2) Suppose U = {x:x EN, x ≤ 20}, A = {3,6,9,12,15,18}, and B = {1,2,3,6,10,15} A) Draw a Venn…

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Q: 3. Find the values of x and y that solve the system of equations (assume x ≥ 0 and (a) xy = 4 and…

A: We have to find the values of x and y that solve the system of equations (assume x≥0 ) a xy=4 and…

Q: Write the equation of a cubic function y=g(x)=ax3+bx2+cx+d, the graph of which osculates with the…

A: The Taylor polynomial osculate a curve at given points. So to cubic function that osculates the…

Q: A. x² = y² + 1 3. A. 4. ( 5. 3) The solution of = 5, y(1) = 1 is. B. y2 2+1 A. y cie + c₂e6 A. A. y…

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Q: 2. Consider the differential equations t²y' - 4y = 1, t > 0. a) Find the integration factor . b) c)…

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Q: 1. Graph the following function on the board: f(x) = - 0 1+x 1-x 0 -∞<x<-1 -1<x<0 0≤x<+1 +1<x<+∞o

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: It can be shown that for arbitrary b, 8(bx): 8(x) You can assume these results for this part of the…

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Q: Use The Definition, prove That. Note: f(z) = lim f(z+AZ)-f(z) DZ-DO AZ "\ I dz -Sinz=cosz

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Q: a. Find the Riemann sum for f(x) = 1/x, 1 < x < 2, with four terms, taking the sample points to be…

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Q: The value of the limit lim n-00 5 n 6+ 52 n is equal to the area below the graph of a function f(x)…

A: Answer given below.

Q: Find the pre-image of (6,-1), given that L(x,y) = (2x, y-x). (1,5) (3,2) (-2,3) (2,0)

A: According to our guidlines we can solve one question at a time so , we are solving 1st question for…

Q: The exponential model of the population of a small town since 2015 is given by the function…

A: The population after t years is given by the exponential function p(t)=1350(1.034)t The initial…

Q: C). Consider Figure 1 below. Find parametric equations for the set of all points P as shown in the…

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Q: 2. N₁₁ (1) Let x1, x2,..., n E X and ri> 0, for i=1,2,3,..., n. Show that Nr₂ (₂) n... Nr (n) is…

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Q: A conditional is false only when the premise is 4 Select one: O a. false and the conclusion is false…

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Q: Solve for r in terms of P, n, and t: P = (1 + ² )'

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Q: 1. USTP employees have the following monthly dues in thousand pesos to their cooperative: 10, 40, 5,…

A: Monthly dues in thousands10,40,5,20,10,25,50,30,10,5,15,25,50,10,30,5,25,45

Q: d²x (d) +2- dt² dx dt + 3x = 3t, subject to x = 0 and dx/dt = 1 at t = 0.

A: Given that the differential equationd2xdt2+2dxdt+3x=3t   Subsject to x=0  and dxdt=1  at x=0That…

Q: 3 3. f(x) = (0.25)

A: Given function  fx=320.25x

Q: Let (X, d) and (X, d') be a metric spaces such that there is NEN d'(a, b) ≤d(a, b) ≤ d'(a, b), (Va,…

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Q: TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: Given Data: To transcribe the following text in digital format.

Q: 4) Car A is traveling at 18.0 m/s and car B at 25.0 m/s. Car A is 300 m behind car B when the driver…

A: Speed of car A=18 m/s Speed of car B=25 m/s Car A is 300 meter behind car B Acceleration of car A is…

Q: Use the Gershgorin Circle Theorem to show that a strictly diagonally dominant matrix must be…

A: Given: A dominant matrix. To Show: A Dominant matrix must be nonsingular. Geshgorin Circle Theorem:…

Q: 8(x) It can be shown that for arbitrary b, 8(bx) = 5(2), and more generally, 8(b(x − x)) You can…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Manually apply the Hungarian algorithm to solve the assignment problem having the following cost…

A: The given cost table is   1 2 3 4 A 4 1 0 1 B 1 3 4 0 C 3 2 1 3 D 2 2 3 0 Solve…

Q: Radium (Ra-225) has a half-life of 15 days. For a 100 g sample, the amount of radioactive material…

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Q: Evaluate the following expression:            [3 -(7 + 6)] x 2 – 42 x 2 + 3   A. -9   B. -49…

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Q: Let a₁5 -6 5 -25 and b= 5. For what value(s) of his b in the plane spanned by a, and a₂? The…

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Q: plan to build a cylindrical container with no top. The material used for the lateral sides costs $4…

A: Answer given below.