Simplify the expression to a + bi form: (1 − 4i)(−11+ 3i)

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A: To find the volume of the following region.Region: Rotated about: -axis

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Q: Find the area of the region bounded by the graphs of the given equations. y=2x² -5x +9; y=x² +7x-11…

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Q: Solve the linear system { X1 2x1 5x2 + 2x3 10x2 + 4x3 = = -1 -2

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Q: 2. Find all numbers of b such that the average value of f (x) = -9x² + 10x + 4 on the interval [0,…

A: f(x)=-9x2+10x+4Interval [0,b]Average value = 5

Q: 1 - 3i З 1 + 2i

A: To simplify the following expression.

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Q: 13. Σ n-2 -1. In n

A: Given a series  thenThe given series is convergent if p>1The given series is divergent if

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Q: 2. d²y dx² dy dx +9y=0.

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Q: Consider the following graph of fƒ"(x). 107 -11-9-7 -5 -3 y 0 1 2 3 4 5 6 7 8 9 X -10- -20 -30 -40…

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Q: Suppose an = -баn_1 — 40л-2 a az 03 4an-3 and a4 = -92, a5 = 500, and a = -2672. Find A1, A2, and…

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Q: A rectangular area adjacent to a river is fenced​ in; no fence is needed on the river side. The…

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Q: A man plans to retire in 30 years. While working, he intends to deposit money each month into his…

A: Here we have, FV=1000000 (future value)r=6.75%=0.0675n=12 for the monthly payment.t=30 years

Q: f(æ)=-5x*+1 x y -2 -1 0 1 2

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A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A: Given,

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Q: Obtain an exponential function in the form f(t) = Aert.f(t) is the value after t years of a $1,000…

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Q: USE THE LIMIT COMPARISON TEST TO DETERMINE WHETHER &an- CONVERGES OR DIVERGES n=14 = CHOOSE A SERIES…

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Q: 5. Evaluate the following expressions: A. (10+j6) + 10 Z-30 - 10/30 5 - j10 j4 B.62 - 120 + C. 10+j5…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Find all the values of x such that the given series would converge. ∞ n (−1)″10″ x” n=1 (√n+11) The…

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Q: Find the average value of the function f(x)=x²-11 on [0,6]. 2 The average value of the function f(x)…

A: Function:Interval:[0,6]

Q: True or false: If f has a derivative at x = 2, then f is continuous at x = 2.

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Q: vergence. Given the series n=1 1 √n +3 explain why the integral test would be proper test to use to…

A: Then, we need to find the series is convergent or not

Q: muing and saving after taxes have been paid and is one gauge for the state of the economy. Using…

A: Solution-D(t)=10020e0.02292t

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Q: Find the Jacobian X = 8uv, a(x, y) = a(u, v) of the transformation. y = 3u/v

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Q: Solve algebraically for all values of x: -81x² +100 = 0

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Q: GIVEN SERIE P-SERIES TEST a.) हैल n=0 J|f 4

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Q: Suppose that p(x) = Σanx" converges on (-1, 1], find the interval of convergence of p(2x − 3) . n=0…

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Q: Does the series Σ (-1)* k=2 In (k7) k+3 converges conditionally diverges converges absolutely…

A: find if the given series converges or diverges.

Q: The sum of two non-negative numbers X and Y is 15. Determine the values of X and Y that minimize the…

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Q: Suppose f(x)=7(2.5)^x and g(x)=55(1.4)^x. Solve f(x)=g(x) for x.

A: Suppose .To solve  for .

Q: The graph of f is shown in the figure. y 12 8 7 6 5 4 3 2 1 (a) Evaluate 1 9 2 f(x) dx. 3 LO X 4 5 1…

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Q: Find the distance from the point (5, -5, 5) to the plane-x+y-3z = 7.

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Q: 20. The radius of a sphere increases at a rate of 1 m/sec. Find the rate at which the volume…

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Q: Solve the following integral: S ln cx) dx

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Q: Test the series below for convergence using the Ratio Test. Ë n=1 3n n! The limit of the ratio test…

A: The power series is given byCriteria of Ratio TestIf 1, The series diverges end text text L

Q: Let lim g(x) x 4 = 8_and_lim h(x) = 8 x 4 Determine the value of the limit 2 lim [g(x) - 3]² x→4…

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -5…

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Q: a) f(x) = 5x4 - 20x³ + 10

A: Inflection points:Inflection points are the points where f''(x) = 0 or not defined.If f''(x)>0 on…