a) A of ants Start with an initial populatian of 50 and doubles every weeks fer 8 weKs The equation is: pz 50(2)t i) Grapin the function ü) b Hhe relationship betueen the ant populatlan and Hhe mumber of weeks exponential. Explain in details.

Q: Show that yrcos(x²) is asoktion to: xy"-y'+4x3y =0, and then use reduction of order to fond a second…

A: Given differential equation is ,                                   xy" - y' + 4x3y = 0 (.)  If  y =…

Q: 8) Find the value of x that makes line m || line n. 120 3x E AS

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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Q: Determine if the Sóllowing justi fy by egprvelent: 1. Ore showng work. and ムx-2 2

A: Given:  12x2 - 4x / 2 and  6x - 2

Q: dóllars) of iscuss which of the models below the company might pref b.

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Q: 4. In ARST, RU US and RV VT, If UV, the midsegment, is equal to 2x- 2 and ST = 8x - 28, find the…

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Q: Suppose the revenue (in dollars) from the sale of X units of a product is given by: RCx) 24x2 + 36x…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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Q: 5. Show that T = + y? satisfies the equation T + Tyy = T³

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Q: 2 X- - SS. T dydx

A: ∫1-1∫0x2-1dy dxWe need to evaluate the above double integral.

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Q: e top of the ladder slides down the wall (and the length of the ladder stays fixed). O O OO O

A: In the given question, the concept of a trigonometric function is applied. Trigonometric Function…

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

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A: We have to find the values of m.

Q: You will calculate L5 and U5 for the quadratic function y 2² + z + 14 between z = 0 and z = 2. Enter…

A: To solve the following problem

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Q: Find mZG. E 35-/2 F 70/2 mZG %3D Submit

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Q: (1) If f(x)=(x-1)(x-3)(x-5),a%3D0,b=4. Find the value of csuch that f (c) has the same value as the…

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Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

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Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

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Q: Q4/is that, the Sulutton to the differentiel equation dy-tX+4. is it's

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Q: Suppose vehicles are moving at 72 kph (kilometers per hour). Each car carries an average of 1.5…

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Q: Find an equatlon Of the ine Through G1,2); Perpendicular to me 2x+ 5yt 8=0 line

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Q: The energy stored 'W' in an inductor is given by W (10 * 10-3)te-2dt %3D

A: Given query is to find the value of the integral.

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Q: f(«, у, 2) — sec (9г + 3уг) fa = | fy = f: = ||

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Q: B/let Flx)=[X]-X,x E(-2,2).which valuesof x o E(X) continuaus?

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Q: So So t² etu du dt

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Q: A retaler has been seling 2,000 enmouters a wee at 150 each. The marketing departiment predicts that…

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Q: find he querage vallwe of he fanction z-cor ox m De mternal ( )

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Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

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Q: The same toboggan with the same coefficient of friction as in Example 5.16 accelerates down a…

A: Given problem is :   Solution: given that toboggan slides down with friction applied on it.

Q: : VERIFY USING CONVOLUTION 5(s? t1)

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Q: 6. Consider the following model: Yi = Bo+B,D11 + B2D21 +u; O if person i is a non-immigrant) where…

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Q: 4) Fund the interval of x-value on which the Carve is Con Cave up and Con Cave dawn 3 fex) = +x-3X

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Q: Given f(*, y) = 8a'y - 4cy. Compute:

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Q: 31. *7/2 csc t cot t dt

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by a (93-2p).…

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Q: Assume butterflies' populace caleulated that aftes W months, in lo06 is as f lW) = 12W + Los…

A: Given f(w) = 12w + cos(16w) +n * 100

Q: For a certain mammal, researchers have determined that the mesiodistal crown length of deciduous…

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Q: = 11% and E = 715, calculate the Еxample 4: If К. stock value of XYZ Ltd. for: 2) r= 11%

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.