The average household received 24 pieces of mail each week. The number of bills and statements is two less than twice the number of pieces of personal mail. The number of advertisements is two more than 5 times the number of pieces of personal mail. How many pieces of personal mail, bills and statements does the average family get each week?

Q: Find the general Solution For D. E x² dy + x(x+2) Y = ex dx

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A: A.1+6+622!+633!+644!+⋯+6nn!+⋯

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Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

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Q: Evaluate ]] x + y dA, where R is the region bounded by x = 1, x = 4, y = x, and y = 6 — x. R

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Q: Solve the following triangles: (a) a = = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7;

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Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 ​ft/min.…

A: A circle has an initial radius of 50 ftThe radius begins decreasing at the rate of 5 ​ft/min

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A: given funciton

Q: 4x Suppose that Σε (9+ x) n=0 Find the first few coefficients. =

A: 4x(9+x)=∑n=0∞cnxnWe know that the Mclaurin series of 11+x11+x=∑n=0∞(−1)nxn

Q: 1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3…

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A: The given equation of the curve is  and the equation of the tangent line is

Q: b) 9-x² x²+4x+4

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Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

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A: OP = OE = 3960 mi.*to find : arc length, PE = ?

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Q: Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

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Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: A = 90°, B= 20°, a = 7;

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Q: Select the answer which lists the sizes of the following matrices in order. 2 3 654 12 2 [1 2 3 4 5]…

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Q: Suppose that the radius of convergence of the power series   cn xn is R.     What is the radius of…

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Q: Use the identity 2 sin æ cos x = sin(2x) to find the power series expansion of sin² x at x = 0.…

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Q: Find the distance d (in the complex plane) between z = 2 + 7i and w = 11 - 10 i. d = √ (1)² + (9)² X

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Q: derivative In 2 x-1 2 x+1

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: given function

Q: Find a function ?(?) such that ?′(?)=?^x+?^e+1

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Q: = Find fæ, fy, fxx, fyy, fay for the function f 5 x³ siny+8 y² cosx+3x+7y.

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Q: 3. •x Soff x² sinzdzdydx Ᏻ

A: Use the Power Rule:Use the Constant Coefficient Rule:Use the common integrals:

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Q: Read the scenario carefully to answer the following questions. Ryan Mountain (5,456 ft) is a popular…

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Q: Find f. f(0) = f "(0) = sin(0) + cos(0), f(0) = 1, f(0) = 1, f'(0) = 3

A: Given that the expression

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A: