The solid generated by revolving the region bounded by the graphs of x = √y, y = 0, and x = 2 about the y-axis is A) 4x B) 128T C) 16 D) 8л

Q: 13) Find the derivative of the function using the limit definition. f(x)=2

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Q: 4. If f(x) = ln 4 x(x²+1) ² √2x-1 find f'=?

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Q: -7 -6 5 -4 -3 At = -3 there is a At = 2 there is a At = 4 there is a -2 -1 7 6 5 4 3 2 1 -1 -2 -3 -4…

A: To determine the type of discontinuity at  of the functionwhose graph is shown below.

Q: Find the area of the shaded region. 6- 4 2- -2- -4- -6+ y=x y=x-1 2 3 - 4x +3 2 4 5 X 6

A: y = x - 1 y = x2 - 4x + 3

Q: 2. Find the total area between the region and the x-axis. a. y = -x²2x, -3 ≤ x ≤ 2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Q1: Find the Laplace transform of: a) L{cos 2t + et} b) L{5e¯† + cos 3t}. c) L{2 sin 3t-4e-4¹}.

A: We can answer only three subparts, or the first question and the rest can be reposted.No more than 3…

Q: Which of the following graphs would represent the radical function f(x)=√√√x+4-2? --4-2 6 -8-6-4-2 T…

A: Consider the function

Q: 2. Which of the following subsets is a subspace of R³ (a). W = ((x₁, x2, 1)x₁, x2 € R). (b). W =…

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Q: Q1) Estimate the area under the graph of f(x) = x² + 1 from x=1 to x=3 using four approximating…

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Q: Problems 5 – 6, Use the graph of the f' to sketch the graph of f and the graph of ƒ". 5. V b y =…

A: (5)A graph of the derivative function  is given.The aim is to sketch the graph of the function  and…

Q: Let w = sin(6x + y)²² ; x = 1³; y = 1²; z = 1-³. Find δω dt

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Q: 5.) A conical tank whose vertex is pointing down is 10ft across and 16ft deep. If water is flowing…

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Q: Use the Shell method to find the volume of the Solid generated by revolving the region bounded by…

A: By using the Shell method to find the volume of the solid generated by revolving the region bounded…

Q: The graph of the function f is shown. 12 10 8 6 4 2 0 -2 -4 -6 -7 5 lim f(x) exists. X→-1 Which of…

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Q: 8.G is the centroid of an equilateral triangle ABC with base BC of side 60 cm If GBC is cut from the…

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Q: Given f(x) = 4x-9, compare the range for f(x)and y=√f(x). O Range of f(x):{yly ER} Range of…

A: The range of the function is the set of all possible output values.

Q: n. (x¹/3+1)(2-x²/3) dx x1/3 SÅ!

A: We have given a definite integral we have to evaluate it.

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

A: Consider the function

Q: Find an equation of a plane containing the three points (-2, 4, -5), (-1, 1, -9), (-1, 2, -7) in…

A: The objective of this question is to find the equation of a plane that contains the three given…

Q: Change the following to exponential form: logma =

A: Since this is a multiple question, only first question is to be solved, according to the Bartleby…

Q: 2. g(x) = = 2sin(x) cos(x) find the equation for g'(x).

A: Given,g(x)= 2. sin(x)cos(x)we know the trigonometric formulae;sin( 2 A) = 2sin(A)cos(A)(   proof:We…

Q: Find the total area of the shaded regions enclosed by y = 3x³ - x² - 8x and y=-x² + 4x. y=3x²-x²-8x…

A: Area between the curves y=f(x) and y=g(x) such that  is given by

Q: Find the total area of the region between the x-axis and the graph of y=-x²-3x, -8≤x≤1. The total…

A: To find the total area of the region between the -axis and the graph of .

Q: 3.) Find h. 2h+3 12 h

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Q: PROBLEM : Determine the area bounded by the curves f(x) = x² - 18x +36 and g(x) = -9x + 18.

A: To determine the area bounded by the curves .

Q: Solve f'(t)-f(t)=2 where f(0) = 0

A: Given equation

Q: The tables below show some inputs and outputs of functions f and g. -8 -5 −1 f(x) 16 10 2 x x g(x)…

A: The given tables are for functions f(x) and…

Q: SS, F F = (3xy,xe*,z) and S is the surface of the solid bounded by the cylinder y² + x² = Calculate…

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Q: Q2) Find the derivatives of: sin x 31² dt dx a) by evaluating the integral and differentiating the…

A: The expression is given byFormula used: (a) The result of the integral can be obtained as follows:

Q: 2) lim f(x), f(x) = 2 x→1+ A f(x) + 1. x < 1 x² - 4x +3, x ≥ 1

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Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…

A: Consider the following.(a) To find (b) By using the total differential  to approximate .

Q: [(4e² (4e² + 4x³ + 8 cos x) dx = O 4e + 4 + 8 sin x + c. Oex4- 8 sin x + c O 4e + 4 + 8 cos x + c O…

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Q: At what value(s) of x does cos x = 7x? X= (Use a comma to separate answers as needed. Type a

A: The given expression is .The aim is to find the value of .

Q: Use the second derivative test to find the relative extrema of ƒ (x) = √√2x + 2 cos x on the…

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Q: c) x² + 4x³ + x² - 6x = 0 x4 d) 4x³ 4x² - 21x - 9 = 0 -

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Q: Given the following PDF i 65.7 98.5 p_i 0.06 0.18 what is E[X]? 72.6 72.3 52.2 0.13 0.09 0.54

A: The objective of the question is to calculate the expected value of a random variable X, denoted as…

Q: Determin if the sequence is converges or diverges: i) a = √n +3-√n. 5n+1

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Q2: Given A (0, -2), B (8, 0) and C (6, 8). Show that ABC is a right triangle?

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Q: 1. Evaluate the given integrals. fx(x-3)dx b. ¹₁ (x² - 2x + 3)dx 3 S²₂ dx -2 (x+3)* a. C.

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: The function satisfying d²y = 4-12x, y'(0) = 5, and y(0) = 2 is y(x) = dx²

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Q: Given that 0 < an ≤ bn for all n, decide which statements, if any, are true according to the Direct…

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Q: Use the intermediate value theorem to determine whether the function f(x)=x²+2x-4 has a root or not…

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Q: Suppose that for each i such that 1 ≤ i ≤ N one has What is if N = 77? i-1 f(t)dt = i S.N. 0 f(t)dt

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Q: The vectors a and b are such so that a = √10, b = 10 Find the value of lax bl. and a b = 30

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Q: + -7 -6 5 -4 -3 -2 limx→ 3- f (x) = limx→ 3+ f (x) limx→-3 f (x) f(-3) = + -1 7 6 5 4 3 2 1 + -1 -2…

A: Given: To Find: To evaluate the following: .

Q: Calculate F.d.S where S F = (e sin Y, ex cos y, yz²) and S is the surface of the box bounded by the…

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Q: Which of the following does NOT represent the same point as the others?

A: We know thatx=rcos⁡θy=rsin⁡θx2+y2=r2

Q: X173 2. Find the total area between the region and the x-axis. c. y = x³ 3x² + 2x, 0≤x≤2 3 d. y =…

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Q: iv) f e² +e-² e²-6-² dr.

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Q: Find dy if y=33 dx 09x² 3x² 3 3x² 9 음

A: Solution-