Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. about y = 2 V = TU y = 2 + sec(x),≤ x ≤ x ≤ —, y = 4;

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Q: Question Classify the graph of the polar equation r = Select the correct answer below: Cardioid…

A: Solution: We know that  Equation r=a sin(b theta) --(1) then the graph is Rose

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Q: 13. Nutrition-Animal Mr. Smith decides to feed his pet Dober- man pinscher a combination of two dog…

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Q: Question For the polar equation r = cos (60), complete the following table of values by filling in…

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Q: Find the Taylor series, centered at c = 3, for the function 1 1 - x² f(x) = (-1)^(4n-3) 8hn! The…

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Q: dy d²y dx² dx 3. Find and with implicit differen- tiation. (a) xy+3y² = 10x

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Q: Use limit notation to describe the unbounded behavior of the given function as x approaches co. v(x)…

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Q: derivative and determine its range. in (a). Sketch the graph of the function using the first of is…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx =) Write the equation for the…

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Q: Find the minimum and maximum values of the function f(x, y) = x² + y² subject to the given…

A: The function fx, y=x2+y2 subject to the constraint x4+y4=2. We have to find the maximum and minimum…

Q: 4. Use the parameter t to write parametric equations representing a circle with center (2, -3) and…

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Q: Below is the function f(x). -12-11-10-9-8-7-6-5-4-3 16 4 4 A N 2 w + 5 6 7 8 9 10 11 12

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Q: Use the graph shown to find the following (a) The domain and range of the function (b) The…

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Q: * 5. Find the point on the plane 4x + 3y + z = 2 closest to (1,-1,1)

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Q: If for some function f(x), then: Timm 2 ² / ( 5 + ²2 ) n→∞0 n j=

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Q: 4. Find the limits. a. lim (x²−1) ln(1-x² )

A: Find the limit using L hospital rule

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Q: Determine whether the following series converges. Justify your answer. 80 Σ 1+ k=1 1 14k k (...…

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Q: 2. An international airline has a regulation that each passenger can carry a suitcase having the sum…

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Q: Use f(x) = log4(16x) and g(x) = 4* to answer the questions below.

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Q: (5) The marginal revenue, P'(x), for selling x units of a product is given by 40 e0.1x Find the…

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Q: Let f be the function given by f(x) = −4|x|. Which of the following statements about f are true? 1.…

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Q: 6 Find the particular antiderivative F(x) of f(x) = that satisfies F(1) = 5.

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Q: Find a power series representing an antiderivative of f(x) = e-(x^4) Use the power series to…

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Q: Perform the partial fraction decomposition on the following expressions: a. 2²-1 b. C. d. 2x² +8x+3…

A: according to bartleby guide line we do only first part of mutiple please repost other parts in next…

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A: given  c'(x)=26x+8given  total cost of producing 39 units is $23,609∫xndx=xn+1n+1+c

Q: 2. [2x(x²-1) dx 3. 4 √(2x² - 5x+3)( 21² 5x² + 3x) a dx 3 2

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Q: Σ n=1 h + 1 2² η

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Q: 15. Which of the following is a point at which the tangent to y = (x − 2)²(x + 3) is horizontal?…

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Q: Find the first five terms of the Taylor series for the function f(x) = ln(x) about the point a = 3.…

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Q: dr Differential equation: (tº + 5t)i + (9t)} + (5ť³)k dt Initial condition: 7(0) = 9ỉ + j Solution:…

A: ∫xndx=xn+1n+1+cdr⇀dt=(t6+5t)i⇀+(9t)j⇀+(5t5)k⇀

Q: Let f(x) = = (2x¹, (5sin(x), 0 슴ㅠㅠ ㅇ 름ㅠㅠ ○ ㅠ + 10 83 - 10 0 1 - 10 -ㅠ < æ < 0 0 ≤ x < ㅠ Evaluate the…

A: The function is given by fx = 2x4, -π≤x&lt;05sinx, 0≤x≤π To evaluate: The value of the definite…

Q: 1. Find the slope of the tangent line to the graph r = 4 - cos 0 when 0 = . You may use the dy ƒ'(0)…

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Q: 1. Find the intervals on which f is increasing and 3x²+2x+2 11 + 2z. x²+x+2

A: for incresing  f'(x)&gt;0  and for decreasing f'(x)&lt;0for critical points put f'(x)=0dxndx=nxn-1

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Q: Find the limit. Use l'Hôpital's Rule if appropriate. To enter oo, type infinity with a lower case i…

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Q: HOMEWORK Find the Inverse Laplace transform of Recall: Partial fraction decomposition. f(s) = s² +65…

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Q: If csc(x)=3, for 90∘<x<180∘, then sin(x/2)= cos(x/2)= tan(x/2)=

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Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

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Q: Evaluate the expression Sin (@+P); sin (@) = 15, 6 in Quadrant I, 171 Cos (P) = -2√5, Pin Quadrant I…

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Q: Use the divergence theorem to calculate the surface integral, F=, S is the upper hemisphere…

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Q: Find the average value of the function f(x)=xex? over the interval [0.2]

A: f(x)=xex2  on 0,2formula for average value is favg.=1b-a∫abf(x)dx∫exdx=ex+c

Q: Given that f(x) = x³h(x) - h(1) = 5 h' (1) 8 = Calculate f'(-1).

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Q: Given the vector-valued functions i(t) = et + et + 5tk (t) = 3ti + 3t²j5k d ind(u(t) (t)) when t =…

A: Given vectors:- u→t=e5ti+e-4tj+5tk v→t=3ti+3t2j-5k

Q: 9. (1+ sin 0) de

A: To evaluate the given integral