Evaluate: [Vx+ sin/X d. A 2x+ cos/x + C 2 (B) x- 2cos/x + C 2х- cos/x + C 2 D x+2cos/x+C E None of the given choices

Q: Compute dx. x2 + 4x + 8

A: Our Aim is to compute the integral given below:-∫02 xx2+4x+8dx -(i)

Q: All functions with trigonometric functions are integrable

A: Given All functions with trigonometric functions are integrable. 

Q: Find the exact length of the curve. x3 y = 1 + 4x 1< x < 3 3.

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Q: A closed cylindrical tank of circular cross-section has a radius of 2 ft. and a height of 6 ft. Use ...

A: Radius = 2 ft Height = 6 ft dr = 1 inchdr =112 ftdh = 1 + 1 (top+bottom)dh = 2 inchdh = 212 ft

Q: Evaluate the following integral: 7 dx = 团+C 2 V2 – - 49 – 49 Note that an arbitrary constant has bee...

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Q: Let f(r) (3sin a + 5 cos z)tan r)tan f (x)-

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Q: 8x – 16 dx=2 x-2dx г- 2 (А) True в) False

A: The answer is True.

Q: Find y" by implicit differentiation. %3D cos(y) + sin(x) = 1 %3D

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Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

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Q: 3 sin 2 tsin2tdt (A) sint 3 (B) sin 21 (c) cost D sin2t E) None

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Q: el+y dA ‚Where D= {(x, y) ||a| + \y| 0, x2 + y? < 1.

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Q: First, assume the ball passes through the points (3,8), (5,20/3), and (6,5). Use this data to set up...

A: A parabola is always a second degree polynomial, whose standard equation is:- y = ax2 + bx + c ,    ...

Q: (1+x*)dy + x(1+ 4y²)dx =0

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Q: Calculate the volume of a solid enclosed by the following equations z=x? +1, x=6, y=5 and the three ...

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Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Po e -0.00012097t A...

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

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Q: In 20-30 word explain the importance of limits by providing 3 applications of limits in real-life si...

A: In 20-30 words we have to explain the importance of limits by providing 3 applications of limits in ...

Q: Using integrating factor, solve  dy/dx - 3y = 6

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Q: 4. Suppose that f(4)= 2, g(4)=5, f'(4)=6, and g'(4)=-3. Find derivative h'(4) in (a) - (d). (a) h(x)...

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Q: Solve S0lve: とマ ans

A: Given:     I = 4∫0π2 ∫0∞ e-v2v dv dθ

Q: Find the equation of the line that passes through the points (1,2) and (5,9). 2. Find the equation o...

A: You have to post rest of the question separately......I have not authorised to answered all multiple...

Q: dy Solve the differential equation 1-y? %3D dx

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Q: 1. y+x+y=x at ( 6, 3)

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Q: Use partial derivatives to find dy if y is defined implicitly as a function of x by the equation xy ...

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Q: 14. A projectile is launched from ground level with an initial speed of 128 feet per second and a la...

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Q: y(2x3 -x2y + y³)dx – x(2x3 + y3 )dy = 0

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Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direct...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

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Q: Select all statements that are true. If f is continuous everywhere except at x = 0, then lim t→0- | ...

A: This is a question related series calculations. If it leads to the particular value then it is conve...

Q: Which of the following is not included in the Organon? A On Interpretation B On Sophistical Refutati...

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Q: In the 2000 U.S. Census, a small city had a population of 40,000. By 2010, the population had reache...

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Q: For the given parametric equations, find the points (x, y) corresponding to the parameter values t =...

A: Given: x = t2 + t       ,     y = 3t+1  values t = -2, -1, 0, 1, 2 

Q: 11. A go-cart and driver have a combined mass of 300 kilograms. They are traveling at a constant spe...

A: Given that a go-cart and driver have a combined mass of 300 kilograms.Also, given that they are trav...

Q: Q3

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Q: Question 8. [. t = 1. 'Let r(t) = 5i+ t²j-²k. Compute the curvature k(t) at the point where (1,0,0) ...

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Q: Solve the differential equation 1.) dy = (y²xe^3-3x²y)dx

A: Please see the below picture for detailed solution. 

Q: 4e' + 3e-i lim t→∞ 5e' + 2e

A: NOTE: Refresh your page if you can't see any equations. . divide the numerator and denominator by 

Q: decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the am...

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Q: Use the method of Laplace transforms to solve d2f/dt2 + 2 df/dt + 5f = 0, f(0) = 1, f'(0) = 0

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variable 'y' for '...

Q: 3 x+V X dx 6. 4

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Q: (x +3)² dx x + 3 Evaluate %3D +9 In(¤ + 3) – 6(x + 3) × (Don't forget to include the constant 2 of a...

A: Topic = Integration

Q: The population of a city is 50,000. The city grows continuously by 2.1% per year. If this trend cont...

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Q: a) Finite geometic series 3645 40 +60+90 + ... 8 40 +60 + 90 + + ( 3645/8 ) ... Find the formula for...

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Q: Given Cost and Revenue functions C(q)=q3−8q2+57q+5000 and R(q)=−3q2+2400q​, at what production level...

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Q: Use the difference an+1 – an to show that the given sequence {a, } is strictly increasing or strictl...

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Q: The population of a city is 50,000. The city grows continuously by 4% per year. this trend continues...

A: Given query is to find the rate of change after 11 years.

Q: 2. For each of the following statements, determine if they are true or false. In either situation, e...

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Q: DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y x- 3x2 + 4x- 12 2. y = (x...

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x+4y +4y ...

A: The given function,x2+4y2+4y=49; dxdt=2 when x=7 and y=-1