r H+ sin x sin 2x dx 2 cos X

Q: An engineering firm recently estimated its total revenue function as TR = 300q - 6q2² and its total…

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Q: A rectangle is enclosed by the coordinate axes and the line 2y + x - 5 = 0 Determine the length and…

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Q: along the line AM WI a magnitude of midpoint of the vertical side OB of the parallelepipe Express F…

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Q: Find the acceleration u= 2x² + 3y, v=- - 2xy + 3y² + 3zy, Example the following flow field: W =- at…

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Q: Suppose f(-1) = 1, f'(-1) = 5, and g(x) = x³ f(x). The tangent line to g(x) at x = 1 is given by y =

A: The objective is to find the equation of tangent line .

Q: Suppose that x² + y² = 82. dy (1) Use the method of implicit differentiation to find dx dy dx (2)…

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Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: Given curve, y=5x from 0 to 4

Q: Find the transition points. y = 3x - 3x² In(x) (Use symbolic notation and fractions where needed.…

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Q: 2x² + 3x + 3 (x + 1)³ - dx

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Q: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: dy 1+x²)²e³ = -2x dx

A: Topic:- differential equations

Q: What value(s) of 8 are an appropriate choice when proving the following limit lim (4x - 2) = 6 x-2…

A: We have to find the epsilon delta method

Q: Find the derivative: y = x [ln(x) - 1] O ln(x) - 1 о O x ln(x) O In(x) O 1 + In(x)

A: Given y=x[lnx-1]To find dydx:

Q: A spring with a 3-kg mass and a damping constant 8 can be held stretched 1.5 meters beyond its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   the damping constant…

Q: Define R as the region that is bounded by the graph of the function f(x) = +1, the x-axis, x = 0,…

A: The region R bounded by the function fx=x36+1, the x-axis, x=0 and x=2.R is rotated about x-axis

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Use the Laplace transform to solve the given initial-value problem. y'' + 2y' + y = 0,  y(0) = 1,…

A: A detailed solution is given below.

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: Let f(x) = 2.5x² - 2.2c. Use the difference quotient and h = 0.001 to estimate the slope of the…

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Q: 3. Evaluate III 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

A: Use triple integral

Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Topic:- application of integration

Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: f(x) g(x) XX 2 5 6 7 The graphs of the functions f and g are shown below. If h(x) = Y A Provide your…

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Q: . The region is bounded by X = y² and x = 4(y − 2)² Using horizontal rectangles, set – up the…

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Q: For the following integral, reverse the order of integration and evaluate the integral. 1/8 1/2 S S…

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Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: Let's solve.

Q: Find the regions where sinx sx.1

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Q: ormation to answer the next question. The graph y = f(x) has undergone one reflection and one…

A: The given function y=f(x) undergoes 2 transformations to map the graph of y=f(x) on to the graph of…

Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

A: Given :  A piece of cardboard measuring 14 inches by 9 inches is formed into anopen-top box by…

Q: Find two numbers whose sum is "a", if the product of one to the square of the other is to be a…

A: sum of two numbers is 'a', the product of one to the square of the other is to be maximum

Q: 4. Let v = (v1, v2, v3), w = (wi, w2, w3) be two non-zero vectors not on the same line in R Suppose…

A: answer is in next step. please give a like !!!

Q: Rewrite cos(x−π6)cos(x-π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: This is trignometry problem

Q: Find the midpoint of the line segment shown below. 6+ 4 Midpoint 11 224 -4 5 -6+

A: We need to find mid point.

Q: (b) [x² x²9x8 – 12x4 + 4 dx 2

A: We need to solve integral.

Q: Given f(x) = x² sec x, find f'(x). Ox² cos x + 2x sec x O x² secx tan x + sec(2x²) O 2x sec x tan x…

A: f'(x)=x2secx'         =x2'secx+secx' x2        =2xsecx+secxtanxx2

Q: lim h→0 f(1+h)-f(1) B)-f(1) h 5/14 Correct where f(x) = 9x² + x - 4

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Q: • III.6 622 dV where G is bounded by r + 2y +4:= 8 in the first octant. 3. Evaluate

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Q: 3. Find the regions where sinx Sx. (

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Q: Betermine the value of k for which the following planes are perpendicular: π₁ = (1, 2,7) + s(4,2,0)…

A: π1 = (1,2,7)+s(4,2,0)+t(k,1,2)  First need to find the normal of the planeIf the plane in the form…

Q: Find F(s). ℒ{et sin 3t}

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Q: Consider the function f(x) = 4 - 5x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: The given function is: f(x)=4-5x2 To find the absolute maximum and minimum of the function on -5≤x≤1

Q: State the order of the given ordinary differential equation. (1-x)y" - 3xy' + 6y = cos x Determine…

A: Order = highest derivative order = 2

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

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Q: en the following total revenue (TR) and total cost (TC) functions for a firm, TR = 5820Q +4Q² − 2Q³…

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Q: What is the volume of the solid formed when the region bounded by the curve y =√16x², x = -3 and x -…

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

A: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a.…

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Q: 2√ty' =√1-y²

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Q: 2x-x² dx

A: