Solve the integral shown below. JT fsins 2x cos7 2xdx

Q: ng expression:

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Q: en ủ × ʊ = (2, 3, 4), find (ũ − 4v) × (ũ + 3v).

A: Topic:- vector algebra

Q: second. At what rate x changing when x = . O-16 O 16 8 O-8 in such way that the y-value increases at…

A: The given equation is;  y=x3-2x2+x-1.

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A: 10.The given function gx=15x-2.3-7.4

Q: ? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy.…

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Q: 2. A line has y-intercept 11 and 3-intercept-13. [x, y, z)= [0, 11, 0]+[0, 11, 13] C [x, y, z]= [0,…

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Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: of the given conditions. lim f(x) = ∞, Sketch the graph of an example of a function f that satisfies…

A: Topic:- limits

Q: The radius of convergence for the series Select one: O 10 O 1 On/10 n=0 n²xn 10n is

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Q: Exercises A write the 1st 4 terms 1 2. 1:4 운 은데linity 2. 을 , I 141

A: Given that the series is

Q: (b) Find d'y dx² where x + 2y = 1.

A: In this question, we want to differentiate the given expression two times.

Q: *An Integration factor of the following differential equation dy (x log x) + y = 2log z dx Option 3…

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Q: l₁: x = 7+2t, y = 2 + t, z = -6 - 3t y-9 Z-13 l₂: 3 - x = -5 -5

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Q: 4. A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: where r= radius and h= heightVolume of a right circular cylinder cylinder is πr2h. Volume of a…

Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

A: Topic:- trigonometry

Q: ff is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² — 11) = 2. x→2 True False

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Q: 3. Find the area of the region bounded above by y=e*, bounded below by y = x, and bounded on the…

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Q: Q4: Evaluate the following integral. 7/21/2 sin y 5% dy dx Y

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A: Let's solve diffrential equation by using laplace transform.

Q: Determine the first four terms in the binomial expansion of (-3-2x¹).

A: Here we have to open the binomial expansion.

Q: Consider the function f(x): = 1 1-x²

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Q: Find a plane containing the point (5,-6,-3) and the line x(t) y(t) z(t) = = = - 4 - 7t 1 -8t 3 - 4t

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Q: Cn = COS * ´π(1+4n)` 2

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

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Q: Iff and g are differentiable functions and h(x) = f(x)ex) , then K'(x) = rosen Fixe+fixie O [00+0000

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Q: The integrating factor of the differential equation A. cos x B. secx +y tanx - secx = 0 i= C. ecosx…

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Q: True or false: If {(2, 1-z, z+3)} is the solution set of a system with dependent equations, then (0,…

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Q: Use the translations to graph the given function. Show all of the transformation on the same graph.…

A: We have to find transformation

Q: 9) Ур H Asin(2t) + Bcos (2t) Q13) The general solution for y' a) = 3x² + c b) = y Q14) The solution…

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Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

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Q: interval of convergence. b. sin² x

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Q: -4x 2. Determine an equation for the tangent to the curve y = (x+3)² at x = -2.

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: Use any method to determine whether the series converge. ∞ 1 (2) Σ 4k k=1 The series (5) Σ k=1 The…

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Q: Write the matrix below as a product of elementary matrices 1 2 3 235 1 05

A: The objective of the question is determine elementary product of matrices ,of the given matrix

Q: Which of the following five series converge, and which diverge? Explain. n+1 (Inn)² 1 4 n². √n n 1+…

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Q: 7) If f(x) = est cosx find f'(0).

A: Derivative of a product of two function isf(x)=g(x)h(x)then f'(x)=g'(x)h(x)+g(x)h'(x)

Q: 5. Find the length of the curve = = = (1 ²+2) X=- 3 9 0≤ y ≤ 4

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Q: # Determine whether the function z = f(x, y) = (why or why not) for for (x, y) = (0,0) (x, y) =…

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Q: Evaluate using Partial Fraction Decomposition: (- 2. -dx

A: Use partial fraction to evaluate the integral

Q: Problem 4. Find the second derivative of below functions. (1) f(x) = 4, (2) g(x) = ln(3x² + 2x - 5).

A: 1)f(x)=41/x 2)g(x)=ln(3x2+2x-5).

Q: Consider the function f(x) 1 1-x²

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Q: Determine dx for each of the following functions. Do not simplify the dy expressions after applying…

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Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A: We have to find solutions

Q: where p(t) is the proportion of the population that knows the rumor at time t and a and k are…

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Q: X y = (sec x) log2 a

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Q: If f is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² – 11) = x→2 True False

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Q: ng the problem) an interval in which the solution of the given initial value proble (t-4)y' + (Int)y…

A: We have to find the interval of t