Find the volume of the solid generated by revolving the area bounded by the given curves about indicated axis. y=sinx, x=0, y=1; about y=1

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A: Given query is to find the interval where function is concave up and down.

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: This question can be solved using the concept of unit tangent vector and length of vector curve.

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

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Q: If the series E, (an)? diverges then lim,00 an + 0 Select one: True False

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Q: 7x – 2r – 12 For the function f(x) =- x² +6 a) Find the equation of the non-vertical asymptote b)…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

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Q: cos² (3n+7 {a,} = 3n² +1

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Q: 4. Let F = (3y cos(3z) + 4z)i+ (3+ sin(3z))j. Use the Fundamental Theorem of Line Integrals to find…

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Q: The solution set of non-negativity constraints is located at Y-axis Quadrant II 3- QuadrantI X-axis…

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Q: Suppose f(x) is positive, continuous, and f'(x) < 0 for all æ in [ – 8, 4], and| f(x)dx = 76 and L…

A: Concept: Mean value theorem: The mean value theorem states that if a function f is continuous over…

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A: Arc length of the parametric curve :                 L = ∫αβ dxdt2+dydt2 dt.

Q: evn+2 2+3 n=1

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Q: 2x-9x+2= 4x-13

A: Given query is to find the value of x.

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Q: Find the limit of the following convergent sequence. a, = 3, an+1 = 8+ 2a, O A. 9 О В. 8 О с. 3 O D.…

A: Use the given first term and keep calculating the subsequent terms and then reach to a conclusion.

Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: Evaluate the double integral over the given region. 9x sin xy dA, R: OSXST, Osy<1 R

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given: We have the local maximum at the point (7, -6). So, we must have f'(7)=0. Here, f'(x) =…

Q: 9х1 +5х* +2 3x- 3х-2

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Q: Find a formula for the nth term of the sequence in terms of n. 3 32 33 34 1 10' 15' 20' 25' 30

A: We have to find the nth term of the sequence.

Q: Using Laplace transform to solve the IVP: y" – 9y = e *, y(0) = 0, /(0) = 0 %3D we find the solution…

A: The given IVP is y''-9y =e-3t,   y(0) =0, y'(0) =0 To solve the problem we must know the following…

Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

Q: 04: S+* + 1)sin z dz =

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Q: I just want to confirm if my solution is right. Please check. If not, please correct me.

A: You have done a mistake which I have shown in step 3 of this solution. Kindly go through it.

Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2) -6 -4 -2 6 -6 -4 -2 4…

A: Given query is to plot the point and find the polar coordinates.

Q: x2 Consider the function f(x) = 2- (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: Evaluate the integral. (2 4y2 – 7y – 12 J. yớ + 2)y – 3)*

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Q: 13. A population of yeast cells can double in as little as 1 h. Assume an initial population of 80…

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Q: 1. Evaluate the following integrals. | (csc 0)(1 + sin² 0 + sin 0 cot? 0) de а.

A: Given ∫(cscθ)(1+sin2θ+sinθcot2θ) dθTo evaluate the integral:

Q: FInd the x-intercept of the plane 2x+5y+z=10

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: Find and sketch the domain for the function. sin (xy) f(x,y) X* + x² + y? - 81 ... Find the domain…

A: Given

Q: The function y(x) saifies the following equation: 2 a2 + 4 x y + 3 y² – æ + y – 3 = 0 dy in terms of…

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Q: Consider the differential equation r'y" +3ry'-3y 2a - 3r. of variation of parameters to solve the…

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Q: For what values of x is fAx) increasing if f '(x) = 3-х (2r – 9)(x +4) %3D

A: We have to find the value of X in the function in which function is increasing.

Q: Find the sum of the first 100 terms in the arithmetic series 1+2+ 3+4 + ... + 100.

A: To find the sum of first 100 terms of given arithmetic  series.

Q: What are the local extreme values of the function f(x) = x³ – 3x + 2?

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Q: Solve the equation on the interval 0s0<2r. cot 0+ 3 =0

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Q: 1. cos(xy) + secy = 5

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Q: 4. y =, x = 1, x = 4, and y = 0 is revolved about the y – axis. (Answer: 247 C. u. )

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Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

A: We have to find the arc length.

Q: The graph of a function f is given below. According to the graph, the derivative of the function…

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