Determine the moment of inertia of the area about the x axis. ' 2 in. 4y=x² T 1 in. X

Q: A curve with polar equation r = 28 5 sin +41 cos 0 represents a line. This line has a Cartesian…

A: A curve with polar equation represents a line.To find the Cartesian equation of the line in the…

Q: xp£p( c£xZ+& ,x)_JJ A

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Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

A: The given functions are The functions f and g considered to be orthogonal on interval  if

Q: 3. The behavior of the system is a spiral source. x' = y' = = 3x + y, -x + 4y

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Q: Given f is concave down and ƒ (4) = −2 and f1 (4) = 3. What is the estimate for = 4? Is it an…

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Q: Find the cube roots of 125i. (Enter your answers as a comma separated list.) Sketch these roots in…

A: The given complex number is By De Morive's theorem The nth root of a complex number is

Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

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Q: Evaluate the indefinite integral as a power series. fin(1+x²) dx

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Q: Find the general solution of the linear nonhomogeneous recurrence relation An = 3an-1 + 10an-2 +…

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y2 = −4y₁ + 1y2 where y₁ (0) = 4, y2…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. M8 Σ…

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x + 5)2 +8(y-2)² = 32 Find…

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Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

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Q: 2. Evaluate the integrals. a. b. C. L (6x - e²) dx [²₁12 +2 (2 + 2y)² dy 7T/4 3 3 sec Ꮎ tan Ꮎ ᏧᎾ

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Q: Find the point of intersection of the lines given below and then find the plane determined by these…

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Q: Find the derivative of the function. y = ³√x²-x² 一 y' =

A: The given function is; y= x7/8

Q: The function C(t)=C0(1+r)t models the rise in the cost of a product that has a cost of C0 today,…

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Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: Find the indicated term of the binomial expansion. 10 (m-n) ¹0 ; fifth term

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Q: If f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) Find the slope of the tangent…

A: Given that the expression f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) we have to…

Q: After the release of radioactive material into the atmosphere from a nuclear power plant at…

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Q: 8. Find the local maximum and minimum values and saddle point(s) of the function ● • f(x, y) =…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: А = 1 1 1 3 4 -3 - 1 0 2 B || 8 -2 1 -3 1 0 - 4 1 1

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Q: he table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx…

A: Consider the given table in the question.Given that n = 3△x=b-an"…

Q: Note that: An interior point of the domain of a function f where f' is zero or undefined is a…

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Q: Find all intervals on which the function f(x) = (x² − 3) e-ª is decreasing.

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Q: Stoite the Fundamental Theorem of Calculus?

A: we need to write down the fundamental theorem of calculus.

Q: Use the table of values to find lower and upper estimates of 10 [to f(x) dx. Assume that f is a…

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Q: Consider the indefinite integral Then the integrand has partial fractions decomposition a b cx + d…

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Q: Express your answer as a polynomial in standard form. ƒ(x) = x +11 2 g(x) = x² - 6x +2 Find:…

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Q: For timer 20, the function Cate with positive constants a and b gives the concentration, C, of a…

A: The given function is

Q: What is the second derivative x³ - 5x² + x = 0? A. 3x² - 5x B. 10x-5 C. 3x + 10 D. 6x-10

A: The given equation is Let

Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: Find y'. y = y'' = 16 tan (4x + 1)

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 5e" and F(0) = 0.

A: F′(x)=f(x)=5ex and F(0)=0

Q: A 17 ft. ladder is leaning against a building. The foot of the ladder is currently 9 ft. from the…

A: We have to use the concept of derivatives

Q: Consider the following integral. √1 + 7x dx Find a substitution to rewrite the integrand as du. u¹/3…

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Q: The compound amount, A, accrued with continuous compounding is given by A= P.100.4343rt, where P is…

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Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

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Q: Find the area of the blue region. It is the area under the curve. y 8 6 4 2 y = 3x + 1 y=8-x

A: We have to use the concept of definite integral

Q: Four Calculus II students have solved I sin sin(x) cos(x) dx. Their solutions are below. Use what…

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Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

Q: Find the time of flight, range, and maximum height of the following two-dimensional trajectory,…

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Q: 49. Show that if x > 1, then ln x ≤ x − 1.

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Q: Express the given repeated decimal as a ratio of two integers. 0.760760760760...

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Q: Find the domain of f(x). f(x)=√x² + 9x - 8

A: Here we will find the domain of the given function on solving the quantity under root putting…

Q: 5 Find an antiderivative of the function g(z) = = 23 An antiderivative is

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Q: 06

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Q: (u(t)xv(t)) = 00)

A: Given that the expression