Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about the line y = 3. setup the integral that gives the volume of the solid in terms of disks or washers.  you do not have to evaluate the integra

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Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

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A: Given: f(x)=31-x

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A: Explanation of the answer is as follows

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Q: Evaluate the indefinite integral. Sa V1 – x? daæ - cos° 0 – cos' 0 +C } (1 – a²)%/2 – }(1 – 2²)/² +…

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Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

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Q: 17 ind the Maclaurin series for f(x) = 1+x

A: Follow the procedure given below.

Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

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Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

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Q: Question Use the third Maclaurin polynomial for f(x) = e" to estimate e. Round your answer to four…

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Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

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Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

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Q: Find the volume of the solid that results when the region enclosed ... by the given curves is…

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Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: how to convert 27 inches into yards by finding an equivalent rate

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Q: (Drag and drop the missing words) In the integral dx Va? we may use x= and dx= substitutions to…

A: We have to evaluate the integrals using substution method.

Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: The first three terms of a sequence are given by 5x + 8, -2r+ 1, x-4 (a) When x 11, show that the…

A: To find out the terms of the geometric sequence.

Q: 3. Let f(r, y) =rsin ry. Find: %3D (a) fz(I, y) (b) fy(r, y) (c) fyy(1, 9) (d) fyz(r, y)

A: Given f(x,y)=xsin(xy) Now fx= d/dx (f(x,y)) fy= d/dy (f(x,y)) fxx= d/dx(fx(x,y)) fyy= d/dy (fy(x,y))…

Q: Q3/ Find the area of zone bounded by curves: y= x² , y= 3x+8

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ti+ t°j к()

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Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

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Q: Evaluate the following double integral .3 a) Evaluate I | 8xy dxdy= ? 1 0.

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Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: tan 0 =-1, 0 in QIV

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Q: 3-x, x + 1 1. Let f(x) = 0, x = 1 Determine the following limit using the graph. limf (x) x-1 6 + 3.…

A: We can answer the question in the below steps.

Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

Q: 1. Find the area bounded by a curve y? = 9 - x and the y - axis. %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Given,            fx,y,z=xy+yz+xz , P8,9,-8 , v=16i+j-kTo find : Find the directional derivative of…

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

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Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

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Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

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Q: Question 4 of 10 m(x) = sec²(e2r+1) %3D Select the correct response. o e2a+1 e2u+1 sec(e2+1)…

A: I am attaching image so that you understand each and every step.

Q: 12.) Find the area inside r = 4- 2cos(e) and outside r -6 + 2cos(e)

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Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

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Q: Question 7 of 10 f (x) = x – 6x² + 9x - 2 Select the correct response 2.x2 + 12x – 9 - 6x - 12 372 –…

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Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: 3. Integration by parts a.j 18x ( x+ 4)»

A: Given

Q: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

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Q: D. Write four related conditional statements (if-then form, converse, inversé, and con each of the…

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Q: (-1)"n²n! 2n n=1 IM³

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Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: 2x3 + 1 x3

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Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

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