2. Find the interval of convergence of the power series & 3x गय

Q: Determine the constants c and d in the equation of the curve y = at (0, -1) and an inflection point…

A: This question can be solved using the concept of functions and derivatives.

Q: n=1 n 2n+1 2n-1 xch

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Q: of convergence of too0 n 3"x" na n Find the interval the power series

A: Given problem:-

Q: What is the exact value of sin(255°) +sin(195°)?

A: find value of  sin(255) +sin(195) here this is trigonometric function  lets find value of this

Q: A Consider triangle ABC drawn in a circle of radius 6 cm with vertex C at the centre of the circle,…

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Q: II. Find the value(s) of x (or the interval of convergence) for each of the following power series.…

A: The given power series,       ∑n=0∞n! xn

Q: Given I(0) = cos (0 + π), (a) Find I(-) analytically. (b) Find I' numerically by using a central…

A: Given: Iθ=cosθ+π. (a) Differentiate with respect to θ, I'θ=-sinθ+π…

Q: If the present value of an item is P and we experience an inflation rate of r for t years, what will…

A: solving the problem by finding the value of the future value.

Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°). What is the component form…

A: We want to find component form of the vector.

Q: Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are…

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Q: 1. dx (x - 2)3 EXOX

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

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Q: 5. sech 2x tanh 2x dx sech

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Q: Com A real estate firm estimates that the value of a certain property will be given by the function…

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Q: Let w = (2, − 1, 1), v = (− 4, − 5, 1), and u = (6, − 2, 2). Find u × (v × w)

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Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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Q: Partial Sums An arithmetic sequence has a first term of -1 and a common difference of -17. If S₁,…

A: We have to find the sum

Q: Evaluate the following integrals. Show the solution. 1. fcsc² (7x + 5) dx 2. x² sec (4x³ +9) dx dx…

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Q: 4. Let sinx = Ź (-1)" x²n+) 2n+1 n=d ♦ a) Find a paver series for xsinx, Differentiate the power…

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Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

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Q: Use the power series 1 = Σ( Σ(-1)-1-1, x +1 n=1 to find a power series, centered at 0, of the…

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Q: Find dy/dx by implicit differentiation. (cos X + sin #Y)5 = 49

A: The given equation is;  (cos pi x +sin pi y) 5=49.

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the…

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Q: Find derivative of each; A) m(t)= In(4t^3+tan(5t)) B) h(x)= 4sin^8(5x+1)

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Q: Given Cost and Price (demand) functions C(q) = 120q+40000 and p(q) = -2.4q+800, what profit can be…

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Q: Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.8q +800, what profit can be…

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Q: a rocket ship is climbing at the rate of 610 ft/sec when it is at 4600 ft it is tracked by an…

A: y is height, x is distance between camera and launching pad  dx/dt = 0  At y = 4600 ft, dy/dt =  The…

Q: The total cost of producing 1 unit of a product is given by C(x, y) = 80+ 0.3x² + 50y - xy dollars…

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Q: Questions 1-4: The graph of a function y = f(x) on the interval [-3, ∞) is shown below. Use the…

A: Given.

Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

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Q: 3. coth 3x dx

A: To evaluate the integral.

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y=√x,…

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Q: You deposit $2000 in an account with 3% annual compound interest. Complete the following, assuming…

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Q: Problem 7. Find the limit lim f(x), where 2--2 x²-4 2+21 x-2

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Q: Solve the equation: (D² - 1) y = 0 Oy=c₁e* + c₂xe* + c3 cos x + c4 sinx Oy=c₁e¹* + c₂e + c3 cos x +…

A: A detailed solution is given below.

Q: nd the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°   Enter…

A: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°

Q: a. y = 3et-2 et +1

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Q: Use Cartesian coordinates to set up the iterated double integral given by [[[ y² dV D where D is the…

A: Given problem:-

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: 1 - ₁ - £x² = 1 + x + x² + X x=0 +++1-23-²² 3! sin x-(-1). cos x=(-1)- -(-1*- 1 - 2 + 1 - 4 - =…

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Q: 3. 2x − y = 4 at point (0,−4)

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Q: Q2): For each of the following functions,determine if f(x) is convex, concave, or none of these.…

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Q: Use integration by parts to evaluate the integral. [2xe™x dx dx = [2xetx

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Q: For which value of a is the differential equation (y² + axy³ )dx + (Ky²x² + 2xy) dy = 0 exact

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

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Q: Write an expression for the new function when g(x) = 3 + 8x is translated / shifted one (1) unit…

A: Given problem:- Write an expression for the new function when g(x) = 3 + 8x is translated / shifted…

Q: 4. [7.4 & 7.5] If... a = i +3j - 2k, and b=i-3j-k, and c=2i+j-k, then... a) Determine (ā- 2b) b)…

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Given: Now,     v(t)=f'(t)      =-16t2+286t+10'       =-32t+286

Q: Evaluate the double integral: So Son VV (Hint: Change the order of integration to dy dx.) sin(7³) dr…

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Q: find the general solution of the given equation. y''+2y'+6y=0

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