Compute the given integral. 5x°e3 dx %3D +C

Q: Applying variation of parameters to the DE: y+y tan x, we get the following system of equations: u c...

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Q: 20-sin 20 Find the maximum value of the function 02

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Q: Evaluate y* dV, where E is the solid tetrahedron with vertices at (0,0,0), (2,0, 0), E (0, 2,0), and...

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Q: Find the derivative of f (x) = arcsin (x²). 2x f' (x) = 1-a4 f' (x) V1-x4 2x O f' (x) = V1-a² O f' (...

A: Use differentiation of trigonometric function

Q: Find the area bounded by the curve y (x- 2)(x + 1)(2x – 1) and x-axis.

A: We use integration to find the area.

Q: Please answer #1 in steps. And highlight main equations.

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Q: If   f(x) = 8x2 arctan (9x2),  find f’(x)

A: Explanation of the solution is given below...

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19, —...

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Q: Which of the following vectors is a unit vector 6 = (1, –1,0) B. ā = (1,2, 3) 1 C. č = -2 1 võ' võ' ...

A: Given query is to find the unit vector.

Q: x +3 -dx What is the antiderivative of 5% + 6r/2 + C 5 A 6x/2 + C B © A (oxs +1) + c 5 6 (D) 7 12 + ...

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Q: Use the following information to answer the next question Observe the following graphs: Graph A Grap...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, graph A represents a cubic ...

Q: 17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. LAM. 46 3. 8....

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Q: Find the slope of the curve at the indicated point. 25) y = 3 ,x =7 8 + X 1 B) m D)m -- 1 A) m = C) ...

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x (x+ 3)5 15) у - In 6х- 8 A)...

A: Given that:y=ln1-xx+35To find derivative

Q: Let f(x, y, z) = x^2 - y^2 – z. Describe the level surfaces.

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Q: Subtract. Simplify by collecting like radical terms, if possible. 4/5 - 10 /5 4/5 - 10/5 =O (Type an...

A: This can be solved as follows:

Q: Let f(x) 11 In(x). Then f'(x) is andf (8) is f"(2) is and f(8) is

A: Use differentiation for finding the values 

Q: each

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Q: Differentiate each function with respect to x. 3. f(x) = ln (-5x^2/4x^3+1)^2

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Q: Worksheet 1 Draw a circle on a Cartesian plane ( using a graphing paper) with the following properti...

A: For c=(0,0) and r=5

Q: Problem 5. In this problem, you wil fnd the volume of the solid genorated by revolving the reogion b...

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Q: d'y Given the differential equation, da2 2y e2" sin(2) cos(2x), the proposed dæ particular solution ...

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Q: Solve the differential equation with appropriate method. Express final answer with a coefficient of ...

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Q: Solve the differential equation with appropriate method. Finalize answer in terms of x and C combine...

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Q: 1. A through of length L has a cross section in the shape of a semicircle with radius r. When filled...

A: Given: A semi-circular through ,filled with water.  V=L[0.5πr2-r2arcsin(hr)-h(r2-h2)12]L=10ft , r=1 ...

Q: Find the solution of the following initial-value problem d?y, dy dy + 4y = e", y(0) = 1, (0) = 2 dr ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: 1.Determine the line limit {an} = 37 (2cos ! en

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Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: A. HOMOGENEOUS EQUATIONS Find the general solution of the following differential equations (1) y' – ...

A: According to bartleby guideliness we can answer only the first three subparts of a question. Kindly ...

Q: 8x+5<15

A: NOTE: Refresh your page if you can't see any equations. .

Q: 3t L cos 2tdt 1 s- 3 (s – 3)? + 4 s[(s – 3)' + 4] O A.) O B.) s- 3 4 (s – 3) + 4 s[(s – 3)? + 4] C.)...

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Q: Find all the values of z such that the given series would converge. (2 – 11)" n( – 10)" n=1 The seri...

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Q: (3) An instructor wants to create a test that has true-false questions, multiple-choice questions, a...

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Q: Compute E 1 dx V1+vx

A: To evaluate:∫0211+xdx

Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny

Q: Find all the values of x such that the given series would converge. (-1)"2" 11" (n2 + 6) 7=D1 The se...

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Q: Which integral would represent the area shown? AY 4+ 3 2- 1. 0.5 1 1.5 A (-2r - 3) d x L (2x + 3) d ...

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Q: The polynomial function f(x)=ax3+ mx2-6x has intergral zeros.The graph of f(x) passes through the po...

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Q: Differentiate each function with respect to x. 34) y = cos -4x* + 3

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Q: The demand for a certain commodity is D(x)  =  1000e−.02x units per month when the market price is...

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Q: following which of the reys is open ? [6, 15] (6,15) 9. C. 6.(6,1s] d. [6,15)

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Q: (a) Define what it means by 2 for y = f(x). %3D

A: Topic:- calculus

Q: Sketch the region that corresponds to the given inequalities. 2x - ys 3 x + 2y s 9 10h Solution Set ...

A: Given, 2x-y ≤3x +2y≤9

Q: Va – 2 VI + 2 If f(x) = find: f'(x) -| %3D f' (2) = %3D

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Q: In(3*+2*) Apply L'Hospital's theorem to evaluate Lt X00

A: Here we will solve the given limit by L'Hospital Theorem,  

Q: Differentiate each function with respect to x. 29. f(x) = ln (-3x^2/x^5 + 4)^5

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Q: of the form {((-1) Cnt1)) (nul) / (nt!)} where Let be the set of humbers A is </ement of the wet of ...

A: Given that S is the set of numbers of the form -1(n+1)(n-1)(n+1), where n is an element of the set o...

Q: Determine the Laplace transform of y’’ given y (0) = 4 and y’(0) = 2

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Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: We can find the answer as below