Evaluate the integral: 3 X sin ³ COS 3 3 X col 3

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A: Given Series,∑n = 1∞1 + sin2 n10n

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A: Let hx=x+5To find the value of the function given below.h4n+9=?where n≥-72

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Q: Mixed Partial Derivatives In Exercises 55-60, verify that way 55. w = In (2x + 3y) 57. w = xy² +…

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Q: Find the following derivatives. Express your answer in terms of the independent variables  ws and…

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Q: Find the exact length of the curve. x5 1 6 10x³ y = + 1 ≤x≤ 3

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Q: Determine whether the series below converges or diverges. If the series converges, find its sum.…

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Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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Q: (−1− x)² +1 if x # - 2 Let f(x) 2x + 5 if x = - 2 Calculate the following limits. Enter "DNE" if the…

A: You must have idea how to find limit of left and right hand of any given function.

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Q: Express the function f(x)=(1+x)/((1-x)^2) as the sum of power series.

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Q: 2 The point P is on the unit circle. If the y-coordinate of Pis and P is in quadrant II, then x = 4…

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Q: (i) Find all first and second order partial derivatives of f(x, y) = x²y + cos(xy) (ii) Find lim xy²…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y = 5 (4x-1)² X

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Q: Set up an iterated double integral equal to the mass of the lamina 4, outside the = 1, and above the…

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Q: 5 0 dx x + 169

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Q: State the range of the following function g(x) = = 7- 2x² x ER

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Q: 1. The sum of three consecutive integers is 219. Find the integer.

A: Consider given consecutive numbers are x-1, x, x+1 Given condition, The sum of three consecutive…

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Q: 2. A ball is dropped from a 20-foot building with a constant acceleration due to gravity of 9.8m/s².…

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Q: 1. Use the substitution method to evaluate x² S. VAI ³ + 50° dx

A: Here we have to find the integral using substitution method.

Q: sertar Reproducción Find the coordinates of points P and Q that are contained in two non-parallel…

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

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Q: The average value of a function f(x, y, z) over a solid region E is defined to be 1 = Favg VED ₁…

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Q: . Use the definition of Taylor series to find the first four nonzero terms of the Taylor series for…

A: Taylor series ;             In the more compact sigma notation, this can be written as…

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

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Q: Solve the application problem involving a rational equation: Kellen's boat travels 12 mph. Find the…

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Q: Let f(x) = 3x + 2. Determine (fofof)(x). (fofof)(x) =

A: The given function is: fx=3x+2   As we know that; f o f o fx=fffx

Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: ۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: if x - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: This is a basic limit problem

Q: Evaluate the following integral. 2 3x² dx (16+x²)²

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Q: Find the equation of the tangent line to the graph of the function f(x): = x+7 x-8 at the point (0,…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim I → 1- lim z+1+ 4 mort 42 f(1) = -2- -3- -4-…

A: Solution is given below:

Q: Find the solution of the given initial value problem. y(4) – 6y"" +9y” – 0; P y(1) = 9+e³, y'(1) =…

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Q: Solve: 20 tan² (0²) de a. O b. O c. ✓d. sec(0²) - 0 sec(0²) - 0² tan² (0²) - 0 tan(0²) - 0²

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Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(2rs, s² - 6r). Use the table of…

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Q: A company wants to start a new clothing line. The cost to se up production is 35, 000 dollars and…

A: The solution is given below

Q: 1. Let f(x, y) = y³ + x³ - 2y² - 3x + 30y. (a) Find all the critical points of f. (b) Determine…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ..)…

A: topic - sequence and series

Q: Given the measurement 2.4 g, find (a) the relative error (to 2 significant digits), and (b) the…

A: Given - Given the measurement 2.4 g Formula used - Relative error = greatest possible error /…

Q: function is given. g(x) = 7 + 1/2x;    x = 1, x = 7   (a) Determine the net change between the…

A: Topic:- calculus

Q: Suppose f(x) is the total number of children that have a disease, and is the number of days since…

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Q: A ball is dropped from a height of 10 feet. Each time it drops h feet, it rebounds 0.81h feet. Find…

A: Let's find total distance traveled by the ball.

Q: Graph the function. Plot all necessary asymptotes. Plot at least 4 points. For vertical asymptotes,…

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