X dy dx +3y = sinx x2

Q: The base of a three-dimensional figure is bound by the line y = -x-2 on the interval [-6, -3].…

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Q: Evaluate the sum 1 Σ² n! n=0 1 + (-1)^²+¹ + (-2)' (−1)n+1 n 2n+1

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Q: What is the average value of f(x), between x = 2 and x = 5 for f(x) = 2x?

A: To find the value value of , between  to  for .

Q: After walking through the fifth gate, your computer informs you that more than half of the gates…

A: According to question,Given Function,ft = 1a3t3-23t2+6945

Q: s dx ²√x² x² - 81 x² x = 9 sec (0)

A: ∫dxx2x2-81

Q: Two investments are made at the same time. The first consists of investing 1430 dollars at an annual…

A: The first investment consists of investing 1430 dollars at an annual rate of interest of 8.7…

Q: d. Briefly state the difference between a vector and a scaler. e. Determine all values of x for…

A: he main difference between a vector and a scalar lies in their mathematical properties and the…

Q: 6. Prove that "x² dx = b³a³ 3

A: If F(x) is the anti derivative of f(x) in the interval [a,b] then

Q: Bob likes to drink his coffee hot, warmer than 100 degrees Fahrenheit. His coffee starts off at 180…

A: We have,  At t = 0, v(0) = 180  Ar(t) = -0.02 t2 , where t is in minutesWe need to find temperature…

Q: Can the Fundamental Theorem of Calculus be used to find xcosx²dx?

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Q: y = 9x — x3; (2, 10) -

A: We have to find the derivative of the function .Also we have to evaluate the derivative at the point…

Q: Write a in the form r(t) = (2t+5)i + (-t)j + (-1²)k, t= -1 a=a+T+aNN at the given value of t without…

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Q: can you explain how you got (x-2)=(t-3) and can you explain how you got the new limits because the…

A: Given:

Q: In Problems 1-5, let R be the region bounded by y=√x, y = 1, and x = 4. Each problem will describe a…

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Q: Write out the form of the partial fraction decomposition of the function (see example). Do not…

A: The given function is, x4+5x5+3x3

Q: Write the pair of parametric equations in rectangular form. x = 7 sin 0, y = 2 cos 0

A: given

Q: A triangle is formed by the points P = (1, 0, 3), Q = (4, -1,3), and R = (6, 1, -2). (a) Sketch the…

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Q: In Problems 6-10, let R be the region bounded by the semicircle x =√√4-y² and the y-axis. Each…

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Q: In Problems 6-10, let R be the region bounded by y = x² + 1 and y = x + 1.Each problem will describe…

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Q: Find the fifth term in the binomial expansion. (2 x - 4) -458,752x 3 458,752x 3 35,840x4

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Q: Find the area enclosed by the ellipse a² b + y=-b√√√a²-x² y² 62 b y=1/√√a²-x² = 1 shown in the…

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Q: lim x 3 x² - 2x - 3 T

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Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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Q: Find all solutions y' = (xy)^(1/3)

A: A differential equation is given and we need to find out the general solution of this. As per the…

Q: bn = n n²+3*

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Q: (с) c= 3 3 тде C= ум —2 (0.0)) dt

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

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Q: where did 2-h come from?

A: We need to explain how did 2-h come?

Q: (2 points) Using polar coordinates, evaluate the integral [/si sin(x² + y²)dA where R is the region…

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Q: Write out the form of the partial fraction decomposition of the function (see example). Do not…

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Q: Evaluate the integral f dx x²√36-x² using trigonometric substitution. Note: Use C for an arbitrary…

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Q: Which of the following ideas represent the different ways two lines can intersect. Select all that…

A: Statement are:The line L interacts with the plain at exactly one point, P.The two lines are not…

Q: An object moves along a line, where its velocity function is as described by the graph below. What…

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Q: 1. 16 + x< X dx

A: ∫xndx=xn+1n+1+C ∫1xdx=lnx+C

Q: Write the pair of parametric equations in rectangular form. State any restrictions on the domain.x =…

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: Question 10 Use the graph to estimate the limit of the function shown in blue as x→0. -5 -4 -3 -2 -1…

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: Use the parameter to write the rectangular equation as a pair of parametric equations. State any…

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Q: lim x-3 x²2x-3 3-x

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Q: 1) BASIC DERIVATIVES: Differentiate and simplify the following functions a) f(x) = 5x³+3x² - 5x+2 b)…

A: We know that the derivative of x^n Is  nx^(n-1)

Q: The base of a three-dimensional figure is bound by the line x = √√y on the interval [0, 4]. Vertical…

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Q: 25 lim x+c+ (x-c)³ 25 lim x+c¯(x-c)³

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Q: 1. Use the definition of the derivative to find the derivative of, f(x)=6

A: The definition of derivative is y=f(x) is  f'x=limh→0fa+h-fah [As per the guidelines I am answering…

Q: Describe and sketch the domain of the function f(x, y) = x² + y² − 25 X

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Q: Given the ellipse: (x − 3)² 36 Find the center point: List the four vertices: + (y - 4)² 25 = 1

A: Given the ellipse: x-3236+y-4225=1 To find the center point. To list the four vertices.

Q: S sinxdx 7+ cos²x

A: integration ∫sinx7+cos2xdx

Q: à = (–3, –5) and b = (1,4). Represent a + b using the parallelogram method. Use the Vector tool to…

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Q: Find f(x) · g(x) = (fg)(x). Simplify. f(x) = x² + 8 g(x) = x² - x +9 (fg)(x) = 123 Tutorial

A: Solving the problem

Q: Use the parameter to write the rectangular equation as a set of parametric equations. x² State any…

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Q: f(x) = 5 for x 2

A: