y" - 4y"+y' + 6y=0

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Q: Find the scalar and vector projections of b onto a. a=(3, 6, 2), b=(3, 1, 1) compab= proj b=|

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Q: Consider the following. y = e−x2 Find  y '. y ' =  −2xe−x2       Find the slope m of the tangent…

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Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the…

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Q: 7) A triangular plot of land has one side along a straight road measuring 300 feet. A second side…

A: A triangular plot of land has one side along a straight road measuring 300 feet. A second side makes…

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A: Given: y=2xx We need to find the arc length of the above function from x=0 to x=1.

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Q: What are the real roots of the function in the graph? y -7 -6 -5 -4 -3 -2 A 3 B 4- -6 - 5 4 3 2 11 0…

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Q: Find the indefinite integral. (Use C for the constant of integration.) J In(e4x - 3) dx

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: For the given cost function C(x) = 12100 + 200x + x² find: a) The cost at the production level 1100…

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Q: Write an equation for the polynomial graphed below, in factored form. -5 بیا -3 -2 -1 f(x) = 5+ 3 2…

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Q: Which of the following is the equation of the tangent to the graph of y=esin at the point x = π ?…

A: Here is the solution:

Q: The following information are known about a function f(x): • f(2)=1 lim f(x) does exist x → 2 What…

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Q: Using calculus, find the equation of the tangent line to the function f(x) = 3 cos x when = 2.2. The…

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Q: Σ 1 8

A: See this solution in below.

Q: 8

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Q: Problem 2. Find the following limits. (c) lim x 0 x (d) lim x48 x³ arctanr el/a - 1 1/x

A: Here is the solution:

Q: Which equation choice could represent the graph shown below? -10 9 8 7 -5-4-3/2 -1 Of(x)= x(x +…

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Q: Which of the following is the derivative of ƒ(x) = = Select one alternative: d d ○ f'(x) = sin(2x)——…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: What is the maximum vertical distance between the line y = x + 20 and the parabola y = x² over the…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: Solve the given intregal

Q: Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one…

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Q: 2. Determine whether the series (a) Converges 00 (b) 5 3/2 converges or diverges. Diverges

A: need to find out the the series converges or diverges.

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Q: Which of the following integrals is the area enclosed by the graphs of f(x) and g(x) shaded below? a…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. fixe- -3x² dx

A: integration

Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

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Q: If f(x) = f'(x) = ƒ'(2) = 1 -, find ƒ'(x) and then compute f'(2). Use exact values. (x − 3)¹'

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Q: y 11 2 sinh ² 7x

A: Here we have to find the derivative of a function.

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Q: The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample. a) Find the mass that…

A: Given :Half-life of cesium-137 is 30 years

Q: For which of the points on the curve x2+y2−4=0 does the slope of the tangent not exist? a.(√3,1)…

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Q: Find the following using the table below. X f(x) f'(x) 1 2 3 4 +3+ 4 g(x) 2 g'(x) 4 1 2 -~-~ -33 1 2…

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Q: Use the chain rule to find the derivative of 6√10x8 + 8x7 Type your answer without fractional or…

A: Topic- Derivative of a function We are given f(x)=610x8+8x7Formulas used:chain rule:…

Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

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A: Given is to find the formula for nth term

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Q: Solve for the particular solution of the given IVP: Oy=In(3/(2+e^(-x^2))) Oy=In((2+e^(-x^2))/3)…

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A: The linear density of a 5 meter road is given by: ρ=11x+4 kg/m

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A: Given z=y cos(x-y)      ; (4,4,4)

Q: Find the general solution of the following differential equations:- 1) x² (y² + 1)dx + y√x³ + 1 dy =…

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Q: #Solve the following IVP x= x+y y = -6x+6y y(0)=18 Then find x(0.25) to at least the nearest…

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Q: xp (&/s* + ©)sex f

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Q: 10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum…

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