Suppose that R is the finite region bounded by y = x, y = x + 2, x = 0, and x = 1. Find the exact value of the volume of the object we obtain when rotating R about the x-axis. V = =

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Q: The limit when x approaches to 5 of a polynomial f(x) is f(-5)

A: Given The limit when x approaches to 5 of a polynomial f(x) is f(-5)

Q: The (2 x 2) matrices listed in Eq. (9) are used in several of the exercises that follow. 1 ^= [2 } ]…

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Q: Use continuity to evaluate the limit. lim x√13 - x² X→3

A: We are allow to solve one question at a time. So if you need rest of solution please upload them…

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Q: Establish the identity. csc ²0 (1- cos ²0) = 1 Which of the following shows the key steps in…

A: see below the answer and explanation

Q: onsider the following vector function. = ( 5t₁, 1/ 12², 1²) r(t) (a) Find the unit tangent and unit…

A: To find  the unit tangent and unit normal and curveture

Q: Qu Solve the following ordinary differential equations:

A: dydx+1xy=xy3divide y3  both sides 1y3dydx+1x×1y2=x

Q: V = T So re (simx) dx 2

A: To evaluate the following integral. V=∫0ππsin x2 dx

Q: Let R represent the event that Aryan will take the bus tomorrow. If P(R) = %, determine P(R"). 1/5…

A: according to bartleby guide line we do only first part of multiple question.there for please re post…

Q: 2x²x5 [x) = x² + 1 is a polynomial, so it is continuous at every number in its domain. is a rational…

A: Given function is a rationsl function. So it can be discontinous on zeros of denominator function .

Q: Given f(x, y) = −5x³ − 2xy¹ + 4y², find fx(x, y) fy(x, y) =

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Q: Solve: 52+31 x-5 ≥ 1 HE (Enter your answer in INTERVAL notation, using U to indicate a union of…

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Q: nd the center of the mass of a thin plate of constant density 8 covering the π gion bounded by the…

A: Please see the below picture for detailed solution.

Q: Let lim f(x)=16. Use the limit rules to find the following limit. lim √f(x) lim √/1(x) = (Simplify…

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Q: Consider the following vector function. r(t): (6√2t, e6t, e-6t) (a) Find the unit tangent and unit…

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Q: 9. Evaluate: lim x-0 X-00 I tan3x =

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Q: A car rental agency charges $100 per week plus $0.10 per mile to rent a car. a. Write an equation…

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Q: Let B be the solid whose base is the circle x² + y² = 16 and whose vertical cross sections…

A: given solid base is circle  x2+y2=16given  whose vertical cross section perpendicular to the x axis…

Q: 3. a) Graph the given piecewise function f(x). 4x + 3, x≤ 0 (-x+1, x > 0 f(x) = -7 -6 -5 -4 -8 -R -1…

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Q: 3. Suppose f: N→ N has the rule [n², f(n) = { n<8 n+1 n ≥ 5 Which of the following statements is…

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Q: Use the graph of H shown to the right to find the limit. If necessary, state that the limit does not…

A: Given :

Q: dy Use the graph of the equation y = f(x) in the figure below to find the signs of and dx y = f(x) C…

A: By using the graph of the equation y=fx in the figure below to find the signs of dydx and d2ydx2 at…

Q: If the function f is continuous everywhere and x² - 9 x + 3 f(x) when x-3, find the value of f(-3).…

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Q: Consider points A(0, -1, 2) and B(2, 1, -2). What is the length of vector AB? oo √21 √24 √18 0 √3

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Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dy dt x²…

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Q: Find the moment about the x-axis of a wire of constant density that lies along the curve y = √2x…

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Q: C) On what interval(s) of x is the graph of g(x) concave up? Justify your reasoning.

A: Given the graph of g'(x) of the function g(x), where g'(x) has relative extrema at x=-1 and x=2.

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Q: 5. Suppose f, g, h, i, j, k are functions satisfying ● lim f(x) = lim g(x) = ∞, x-2 ● h(x) > 0 for…

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Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = f✓ (a) If…

A: To find the arc lenth

Q: Which of the following could be the graph of y = X X X X Check Answer 62x + 59?

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Q: A solid is formed by rotating about the x-axis the region in the first quadrant bounded by the…

A: We have to find volume generate due to revolution of curve about x axis.

Q: f(x) 2 0 X 1) Given the graph of f(x) above, use geometry to evaluate each of the following parts…

A: Given the graph of fx above, by using geometry to evaluate the following integral.∫03fx dx

Q: How do you evaluate the integral of ( x2 ) / ( 2(x2 - 4) ) ?

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Q: QUESTION 2 Given that f(t) = St t x² + 13x+36 1 + cos²x 0 Find the value of t at which that local…

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Q: 2) Use the Fundamental Theorem of Calculus to evaluate the definite integral. Show all work clearly…

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Q: K First-class postage is $0.34 for the first ounce (or any fraction thereof) and $0.21 for each…

A: Given :- Cx representthe postage for aletter weighing x oz

Q: Find the point-slope equation of the plane passing through the point (-14, 7, -2) and having x-slope…

A: A detailed solution is given below.

Q: Find the area of the region bounded by y = 17/ (81 - x²) and y = 1.

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Q: Find the values of x at which the curve y = f(x) = (7x + 6) (x - 3)5 has a horizontal tangent line.…

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Q: A stone is dropped from the upper observation deck of a tower, 350 m above the ground. (Assume g =…

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Q: f(x) X 1) Given the graph of f(x) above, use geometry to evaluate each of the following parts below.…

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Q: Using the Horizontal Line Test In Exercises 45-56, use a graphing utility to graph the function and…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: To develop strategies to manage water quality in polluted lakes, biologists must determine the…

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