6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer method: y² = 8x, y = 2x; about y = 4

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Write z₁ and 2₂ in polar form. (Express in radians. Let 0 ≤ 0 < 2π.) Z₁ = √3+1, Z₂ = 1 + √√√3i Z1 =…

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Q: Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the…

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Q: B. In the diagram below, not drawn to scale, A, B, C and D are points on the circumference of a…

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Q: 3. Worldwide annual sales of smartphones in 2013-2017 were projected to be a 9--10p+4,360 million…

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Q: 14. Solve for x. 2¯¾ = 8(x-3)

A: Given, 2-x2=8x-3

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A: First finding the volume of original roll

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Q: Given: c= 8, a = 5, C = 67° C b A B C Solve the triangle. (Do not round until the final answer.…

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Q: .2 (a) x² + y² (b) 3x2 + 3y

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Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: 3. Evaluate the following integrals. For each integral, briefly explain what method you are using…

A: Please see the answer below.

Q: Find the center and radius of the circle whose diameter has an endpoint at (3, -4) and the origin. 5…

A: Given that the endpoints of the diameter are 3,-4 and 0,0.

Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: If lim f(z) = 2 and lim g(x) = 7, then lim[3ƒ(z) — 4g(x)] = -22 G- *-b Ⓒ True O False

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Q: Suppose f is a function for which [ f(x) dx = -3 and 1f²fcx -1 [²3/0 3f (x) dx Hide answer choices A…

A: We have, ∫-11fxdx = -3∫15fxdx = 5 To evaluate: The value of ∫-153fxdx.

Q: (a) IM8 k 서

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

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Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat F(x) = Sinx 29=0

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Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: For the function f(x) = 2x², find the difference quotient f(a+h) - f(a) h 4a + 2h h 4a²+ h 4 a + 2 h

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Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

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Q: Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope…

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Q: Determine whether the series Σ n=1 convergent, or divergent (−1)” 7n-5 is absolutely convergent,…

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Q: Points: A(2,1,-1), B(-3,0,1), and C(1,4,0) a.) find parametric equations of line that passes…

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Q: Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)

A: Topic = Geometry

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Topic:- calculus

Q: 9. Find the area of the surface generated when the given arc is revolved about the x-axis: 4x² +…

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Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

Q: Evaluate So * sin ada

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Q: Find the convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.

Q: The hyperbola in Position I opening up opening down in Position II y² x² 4 16 1 is

A: Topic :- geometry

Q: 3. Carry out the following mathematical operations and report your final answer in the correct…

A: The objective is to solve the mathematical expressions.

Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =…

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Q: 2. Evaluate the integral. Do not use hyperbolic functions as the final answer. 1 =dx 2 √3x² - 4…

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Q: cln x e L L ² L the we Evaluate yez dz dx dy.

A: Given problem:-

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: Given problem:- The region in the first quadrant bounded by the graph of y = 8 - x3/2 , the x-axis,…

Q: Given: A R= 8√3 1 2 2√3 30° R 4√3 B

A: here right angle triangle is given  so here we apply sine rule to find the R   sinA = opposite…

Q: Find the solution by using Solution of 2nd order D-Es me x ý XỨ Tỷ - xy + y = Lnx -

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Q: Solve the following homogenous linear differential equation: (D^6+6D^4+9D^2)y=0

A: To solve the given differential equation

Q: A 5-pound monkey is attached to the end of a 30-foot hanging rope that weighs 0.2 pound/foot. The…

A: Given problem:- A 5-pound monkey is attached to the end of a 30-foot hanging rope that weighs 0.2…

Q: A number is chosen at random from the first 20 integers. Find the probability that the number is a…

A: Topic = Probability

Q: 2) 2 s² (s²+4) Find L1 transformation. by using the properties of inverse Laplace

A: Given; L-12s2s2+4   As we know from the property of the inverse Laplace transformation.…

Q: (9x-4y+4)dx-(2x-y+1)dy=0

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Q: Find the integral of each of the following: (a) S(-6x³ +9x² + 4x − 3) dx (b) f(12x²9x) dx

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Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: 8. ABSOLUTELY LOGARITHMIC The following information is given about a logarithmic function and an…

A: The logarthim function  is of the form fx=alog4x-h+kThe equation of the asymptote is x=100The…

Q: The area bounded by y = 2x² - x³, and y=0 is revolved about x=0. Find the volume of the solid…

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Q: Exponential and Logarithmic Functions 11. Use the properties of logarithms to fully expand the…

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Q: h(x) = [(x − 3)√6x − x² + 9 sin¯¹ (x-³)] g(t)e-2t (1+e-2t)-1/2

A: