Find the indefinite integral of the function g(x)=e^(2x) sin(3x)dx

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A: Let the diameter of semicircle be x feetThen radius of semicircle be  feet

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Q: rem for Integrals Find or approximate all nction equals its average value on the given 4] 40. f(x) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first  question…

Q: c) 4-x² 2x²-5x-3

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Q: Σ(17)

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Q: Solve the following initial value problem. f(0) = 2 500. f'(x)=√x+x²,

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Q: Let f(x) = f sin t² dt. Find f'(x) x² 2x 2x sin(x4) - 2 sin(4x²) sin(x4) — sin(4x²) 2x cos(x) - 2…

A: Let .To find .

Q: Solve Cauchy problem for the non-homogeneous equation: 4 y" +4y' + 3y = 3x, y(0) = − ½, y'(0) = ²

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Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: Use the identity 2 sin æ cos x = sin(2x) to find the power series expansion of sin² x at x = 0.…

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Q: Find the general Solution For D- E dy dx ty cotx= 5 cosx

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Q: Graph the function for one period. =tan(лx/2) for 0.5 1.0 1.5 y y-intercept 1.0 vertical asymptotes…

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Q: 18. Find the volume of the largest right cylinder that can be inscribed in a cone of height 20.00…

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Q: Evaluate the integral. 1/2 12/23 dx 5/ 16x2 - 1 V2/4x5

A: To evaluate the following integral.

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Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.

Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

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Q: This problem tests calculating new functions from old ones: From the table below calculate the…

A: The function values  are given in the table.The aim is to find the values of .

Q: b) The rectangles in the graph below illustrate a ? The value of this Riemann sum is the vertical…

A: given function

Q: Verify that the two planes are parallel. -x + 6y + 3z = 6 1 x + 2y + z = 7 3 Find the normal vector,…

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Q: y = In (14)

A: Given that expression we have to find the derivative of y with respect to t

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Q: (c) A= 58°, a = 9, b = 5 (d) A = 90°, b= 6, c = 8

A: (c) Given that,    By using sine rule,

Q: 39-44. Mean Value Theorem for Integrals Find or approximate all points at which the given function…

A: 39.The given function .The aim is to find the points in the interval  at which the points equal the…

Q: Find the distance d between the complex number - 2 + 4i and 0. d =

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Q: ["h h(x) dx such that A expresses the area of the region between the functions y = el.5, y =e-1 and…

A: To write an integral in the form  such that A expresses the area of the region between the functions…

Q: A cardboard box with an open top must have a volume of 14 ft. If the length of the base is four…

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Q: Question 4 Suppose an> 0 for n≥1 and lim wan > 1 n→∞ n=1 an? What can you conclude regarding The…

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Q: Setermine if the se quence fa. } Converges or diverges of the sequence is convergent. Find the limit…

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Q: A commercial cherry grower estimates from past records that if 16 trees are planted per acre, then…

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Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A: f(x)=−x3+27x−58Using the power Ruleddxxn=nxn−1

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Q: Approximate the area of the region bounded by the graph of f(t) = cos (t/2 - 3/8) and the t-axis on…

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Q: 9-30. Finding area Determine the area of the shaded region in the fol- lowing figures. 10.

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Q: Determine the radius of convergence, R. R = 1

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Q: Let P(t) represent the number of grizzly bears in a population at time t years, when t ≥ 0. The…

A: P(t) is increasing at a rate directly proportional to 600-P(t)P(0)=400

Q: 21. A window is composed of a rectangle with a semicircle above. If the perimeter is 16.0 m, what…

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Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: 9 √x Find all critical numbers of the function f(x) = 7√x- If there are multiple critical numbers,…

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Q: Solve a Consumers' or Producers' Surplus Problem. A sports watch has a price-demand equation given…

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Q: A rectangle has its base on the x−axis and its upper vertices on the parabola y = 9−x^2. Find the…

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. (a) -54i + 22j + 18k u x V (b) V x u 54i…

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Q: f(x) = f(t-sint) ³dt

A: f(x)=∫1x(t−sin⁡t)3dtProperty of definite integral∫abf(x)dx=−∫baf(x)dx