1) For which values of x the series converges? Ση!x n=0

Q: lim (ex + x) = хэр

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Q: (b) You walk in a straight line away from a speaker. Suppose the volume of the sound, Vin decibels,…

A: You walk in a straight line away from a speaker. Suppose the volume of the sound, V in decibels, is…

Q: ∞ n=1 1 2 8+n?

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: Given that a=2,3 , b=3,-1

Q: Solve the differntial Eq 4x²y" + 4xy' - y = 0

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Q: Find the interest rate needed for an investment of $5,000 to grow to $7,000 in 6 years if interest…

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Q: Use the following function to answer the questions below: below: 904) = (2+³ - ²)1/5 g(t) (a) Find g…

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Q: Write an equation for the function graphed below 5+ 4 3+ 2+ -7 -6 -5 -4 -3 -2 -1 -1 -2 + -3+ -4+ -5+…

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Q: Write an equation for the graph. 1) -6 -4 -2 26 18 16 +4 42 16 8 y 2 6

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Q: We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the…

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Q: Given the vector function r(t) = (-3t, -4t¹, t² + 1) Find the velocity and acceleration vectors at t…

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Q: Use the graph of f(x) to answer the questions below. f (x)] 2 B (a) Questions about f'(x). C Use the…

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Q: 4. Find two possible non-linear functions & and such that goh= √sinx-x²

A: To find the non linear function by the given composition.

Q: Question 7: Find the general solution to the following, and show all work: y=[²₁1]y

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Q: 9) f(x²-3)² dx

A: I=∫x2-32dx

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) - (1,3,-²) The…

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Q: Given the demand function D(p) = 275-2p², Find the Elasticity of Demand at a price of $6

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Q: dy (a) Show that y*+x-4 = 0 is an implicit solution to dx on the interval (-∞0,4).

A: To show that y4+x-4=0 is an implicit solution  to dydx=-14y3 on the interval -∞, 4. Note: Since the…

Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

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Q: Differentiate: y = dy da In(x) x5

A: Solving the problem.

Q: 4. Consider the region in the xy-plane bounded by the curve y = 4x - x² and the x-axis. a. Suppose…

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Q: 3. Find f'(x). 2 f(x) = In x + 3e - 2x

A: given,  f(x)=lnx+3ex-2x2

Q: Use the price-demand function below, to answer parts (A). (B), and (C) p(x)=90-3x (A) What is the…

A: The price-demand function is given below. px=90-3x, 1≤x≤25 (A) To find the revenue function. To find…

Q: dy dx - 6y, y(0) = 36.

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Q: Find the first few coefficients. Co || C1 C2 C3 = C4 = The Taylor series for f(x) = e* at x = -4 is…

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Q: 10. Solve the following initial value problem dy dx = e(2x-4), y(5) = 0.

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Q: Let y = tan(5x + 5). Find the differential dy when x = 3 and dx = 0.3 Find the differential dy when…

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Q: 0 6 417 8x dx ㅋㅋ 0 3,417 an ○ 2x-417dx 34/7) ㅊㅈ -417dx ○ 2x1017 dx

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Q: Write the e-system obtained via slack variables for the given linear programming problem. Maximize P…

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Q: 1. The curves y = x and y = x sin(x) are graphed below. Find the area of the shaded re bounded…

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Q: 3. a. Convert 225° to radians b. Convert 13/12 to degrees: approximate to 3 decimals

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Q: The angle of elevation of a flying kite is 77°11′53″ . If the other end of the 198 -foot long string…

A: Given: The angle of elevation of a flying kite is 77°11′53″. The other end of the 198 foot long…

Q: b) What will be the average cost per unit for the first 10 units

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Q: Only a portion of the graph of f(x) is shown below, but you can assume that f(x) is a continuous…

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Q: A bacterial population is 6,000 at time t = 0, and its rate of growth is 1,000 8t bacteria per hour…

A: Rate of growth is 1,000·8t bacteria per hour after t hours

Q: 7) [4e²* dx 0

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Q: Determine the equation of the hyperbola satisfying the given conditions. Write the answer in the…

A: The Foci 0,±13 ,vertices 0,±5

Q: Question #10 - Which integral best describes the area below? f(x)=x²-2x g(x) = x va 34 4 -1 7 2 7 2…

A: Area of the shaded region : Let y= f(x) and y=g(x) be two curve and f(x)≥g(x) on a,b , then the area…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 6. Find the arclength of the curve y Note: L = 1+ (f'(x))² dx √ 1 x²+1 for -2 ≤ x ≤ 2.

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Q: Find an equation of the plane. The plane through the point (5, 0, 6) and perpendicular to the line x…

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Q: 3 5 3 - (+)-(-) -- " n rb integral, that is provide a, b and f(x) in the expression Given Rn i=1 3 n…

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Q: find a power series representation (your power series representation x=0) f(x)=2/(1-x^2) for the…

A: We need to find a power series representation for the function. (the power series representation…

Q: Once an airplane has reached its cruising altitude, its computer shows the destination to be 2,400…

A: The linear function we used to model the distance of the plane from its destination is an example of…

Q: If f(x) = e* and g(x)=xe-e-*

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Q: 7. f(x) = √√sinx³ Hint rewrite first Write answer in radical form. Туре.

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Q: Solve the given initial value problem. dx dt dy dt = 3x+y-e³t; = 4x + 3y; x(0) = 3 y(0) = -8 The…

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Q: If z = -1e²+3y, find the differential dz. et² + dz= on below +2y (2x dx + 3 dy) Submit Question

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Q: The daily demand function for x LED lights sold by a major retailer is p = 847.5 -0.25x dollars, and…

A: Solutiion,) given p = 847.5 - 0.25x  C = 165 + 3x  Profit (H) = px - Cx Profit (H ) = 847.5x -…