lim x-0 3x-sinx X

Q: (b) lim 4-5x²+2x 3x³-2x+4 848

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Q: Question 2 What is the general solution of the differential equation 2y"+y' - 6y=0? ²³² +₂e²²\ -2x…

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Q: 28. y = (csch-13x)4

A: y = (csch-13x)4 derivate this here we have use chain rule and do derivate . calculation is given in…

Q: The differential equation y '- 2y - 3x2=0 is linear and homogeneous. A) TRUE B) FALSE

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Q: dy/dx+y/x=xy^2 use y=v/x

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Q: 5) f(n) = 2n-5; Find f(-8)

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Q: Find the general solution of the differential equation y (iv) + 2y''' y '' — 2y'=0.

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Q: For a binomial test, if pn = 30 and gn=90, what is the value of n? 60 100 O120 150

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Q: The differential equation y - 2y - 3x2=0 is linear and homogeneous. A FALSE B TRUE

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Q: 5. This rectangle of x's is of another (original) rectangle of x's. X X X X X X X X X X Show the…

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Q: Sketch the graph of the function by first making a table of value H(x) = |3x| X -3 -2 -1 0 1 2…

A: We can solve this as follows:

Q: Complete the following and round properly according to sig fig rules: 34.8 (129.3)/10 (Remember, the…

A: To complete the given expression and also need to round it.

Q: Sketch the graph of the function by first making a table of values. f(x) = 13x - 3| X -5 -2 0 1 2 5…

A: Given function:- fx=3x-3

Q: What is the degree of the differential equation (y') 2 - xy "=1 ? (A) 2 B) 1 C) 4 D 3

A: Solution is given below:

Q: Find values of m so that the function y = xm  is a solution of the given differential equation.…

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Q: A thermometer is taken from a room where the temperature is 21°C to the outdoors, where the…

A: Newton's law of cooling is used.

Q: Is the differential equation y2dx + 2xydy=0 exact? A NO B YES

A: To determine whether the given differential equation is exact or not.

Q: Find the nth term of the arithmetic sequence whose initial term is a₁ = 4 and common difference is…

A: The nth term of the arithmetic sequence is given byan=a1+(n-1).d         Equation 1wherea1=first…

Q: 9. X n=1 10/22 2n²

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Q: 1. - [48 n 1 57²

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Q: Σ k=0 k k + 10 Η

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Q: Find a linear second-order differential equation F(x, y, y', y") = 0 for which y = c₁x + c₂x² is a…

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Q: 9. Find the exact value of the distance between the lines L₁ : x = −3+3t, y=1+t, = = −4+4t L₂ :…

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Q: 4) w(x) = -3x - 4; Find w(7) 4-2, Find 6) g(n)=n² + 2; Find g(3)

A: (4) The function is given by wx = -3x-4 6) The function is given by gn = n2+2 To evaluate: The value…

Q: What is the order of the differential equation x2dy/dx-2xy"=0?? (A) 1 (B) 2 C) 4 (D) 3

A: Order is given by the highest derivative present in the differential equation.

Q: According to the Consumer Expenditure Survey, the average American household spent $7,923 on food in…

A: Given:- Total average American household spent $7923 on food in 2018 About 25 amount was spent on…

Q: For the function f(x) = 4x²-3x, evaluate and simplify the difference quotient. f(x+h)-f(x) h Check…

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Q: Prob 4 Evaluate Лет x→∞0 lim x-00 orctan (ex) 4-ex 1+20x and

A: 1) L=limx→∞arctan(ex) Direct substituting the limit:   L=arctan(e∞) e∞=∞ So, L=arctan(∞) We know…

Q: 33. Σ &"(x − 2)" n=12

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Q: Find the value of $1000 deposited in a bank at 9% interest for 8 years compounded in the following…

A: Given: The value of $1000 deposited in a bank at 9% interest for 8 years compounded in the ways i)…

Q: A bank offers 4% compounded continuously. How soon will a deposit do the following? (Round your…

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Q: how do I develop a model for the depth of a swimming pool as a function of the distance from the…

A: We need to develop a model for the depth of a swimming pool as a function of the distance from the…

Q: 3 =-=—= x³. - 4x² + 16x + 14 with tangent lines parallel to the line 20x - 5y = 2. Find all points…

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Q: 38. f(x) = = 1 3x - 2³ C=-1

A: We can solve it as follows for Taylor's series.

Q: You have the following data Y=12, 8,16, 7, 8, 9, 20, 4 The Skew modulus is

A: Skew modulus = 3(mean- median)/standard deviation

Q: Make a table of values for the equation. y = 1 + √x X 0 1 2 4 9 16 y Sketch a graph of the equation.

A: Consider the equation  y=1+x

Q: PROBLEM 2 [TRANSFORMATION OF FUNCTIONS]: In bullet form, enumerate the steps. transforming g(x) = x²…

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Q: 91. f (3x − 1) dx 9−2x+3x2

A: The given problem is solved below in detail

Q: lim X→0 3x-sinx X

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Q: y" + 6y' + 9y = 16e¯* cos 2x

A:

Q: Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have…

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Q: Use implicit differentiation to find d'y dx² d'y if 2x² - 3y² = 4. dx²

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Q: Determine the largestintervalonwhichy=e*iscontinuous A [0, + ∞ ) (B) (0,+ ∞ ) (C) D (-∞,0) (-∞0,…

A: Solution of given question is written in below steps.

Q: Eliminate the constant: y=cx+c²+1 Oy=xy' + (y) ²+1 O y'=xy + y² +1 Oxy"=x+ (y) ²+1 Oy=y'+x(y'¹) ²+1

A: The answer is given below

Q: Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x ? (A y = 3x + C By=e³x+C (D) y =…

A: To find the equivalent equation for the given function.

Q: The curve y²-x²= -5x is a solution to the differential equation y'= (2x - 5)/2y A) FALSE B) TRUE

A: The answer is given below

Q: Se 2x dx

A:

Q: Sketch the graph of the function by first making a tab f(x) = -x + 5, -5 ≤x≤5 f(x) = -x + 5 X -5 -4…

A: Given:-f(x)=-x+5-5≤x≤5nowf(-5)=--5+5=10f(-4)=--4+5=9f(0)=-0+5=5f(1)=-1+5=4f(4)=-4+5=1f(5)=-5+5=0…

Q: 7) g(n) = 2n² - 4; Find g(-2)

A: Given: gn=2n2-4To find: g-2=?

Q: Determine the total differential dH of the function: H(x,y,z) = x^y+z

A: Given, H(x,y,z) = x^y+z