What is the graph of r cos 0 + r sin 0 = 1? Oline with slope m-1 and intercept b=0 Oline with slope m=-1 and intercept b=1 O horizontal line through (0,1) O circle center at the origin with radius 1

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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Q: The value of x for which the series - n³(x-3)" OA. 2<x<3 or 3<x<4. O B.2<x<3 or 3<x< 4. OC. 2<x<4. O…

A: We need to find value of x.

Q: Use polynomial long division to write 2x² + x³ 3x² + 4x-9 - = Q(x) + 1²+1 = p(x) 1²+1

A: To divide using the long division.

Q: 3. Convert the following polar coordinates to rectangular coordinates. 7π b. C. a. -3,- 2. 2…

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Q: Evaluate the following TT f(x) dx if f(x) = definite integrals. if x ≤ 0 X sin x if x >0

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Q: Part II: Find the first partial derivatives of the given functions. z = (y/x³)(x/y³) ENTIA EDIA…

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Q: 4. If A = 3xyz²i + 2xy³j- x²yzk and p = 3x² - yz, find (a) V-A, (b) A-V4, (c) V-(Vo) at point (1,-1,…

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Q: fx ln x dx.

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Q: If w = eb₁x-b₂y-b³z, where b₁,b2, b3 are constants and b3 + b3 + b3 = 1. Show that อพ อพ อพ 02 อ 0z2…

A: Here in this question, we need to solve the given partial differential equation. The solution can be…

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. The y-coordinate of the centroid of the…

A: We first sketch the given region using a graphing calculator.  We will consider the graphs about…

Q: 7. Evaluate * (D5 – 3D¹ + 8D³ + 16D² – 9D – 13)y = 0 y = (C₁+C₂x)e¯x + Сze* +C₁е²x cos3x +C5e²x…

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Q: Compute the partial derivative of the function * f(x, y, z)= el-roos(y) +2e=1/(1+²)

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Q: The value of a is Blank 1. [²1² sin³r cos³r dr == where a =.

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Q: The integral can be rewritten as 6u³ (a). Joudu u+1 6u4 (c). du u²+1 ܐ | dx √x+√x (b). Sū 6u² u²+1…

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Q: Find and classify all critical points of the function 3 f(x, y) = x³ + 2y - In(x³y³) Item 5.pdf

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Q: The cylindrical shell method is to be used to compute the volume of the solid generated by revolving…

A: Here, the given curves are: y=2x-x2 &amp; y=0 The area bounded by the curve is:

Q: Choose among the following suitable to define the given integrations * :fx √x + 1 dx Not suitable…

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Q: iven u=[3,-4, 5] and v=[ 8, 15, -17]. Find (a) u dot product v (b) v dot product u (c) u cross…

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Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: Consider the region on the 1st quadrant bounded by y = √4 - x², x and y- axes. If the region is…

A: Given problem:-

Q: Which of the following describes the partial fraction decomposition of a rational function of the…

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Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

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Q: What is the value of f(1) + g(1)?

A: This question can be solved using integration by parts.

Q: The value of x for which the series Σ- O A. x<2 or 4<x. OB.2<x<3 or 3<x≤4. OC.2<x<4. O D. 2<x<3 or…

A: Given

Q: lim [(x²-In(x + 1)) cot x] x-0-

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Q: Find all points on the curve y = x³ + 2x² - 6x + 5 where the tangent is parallel to the line 2x + y…

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Q: Find the partial derivatives of 2z+y²+2 Ja 8z 2zyty2 81 (エール) (z+y)² 2zy+y² Ob. 82 2zy-y² (z+y)…

A: Given the function, x2+y2x+y

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

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Q: 12

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Q: find the limit as x approaches to infinity (x-3 / x+1)^x/a

A: We need to evaluate the value of the following limit limx→∞x-3x+1xa Formula Used:  limx→∞1+mxx = em…

Q: Consider the following differential equation: dy : 2xy² dx i. Use the method of separation of…

A: using method of separation

Q: Find the area of the plane region bounded by y=-x+2 and y= x2 −2x 7 s.u. 9 S.U. S.U. 9 s.u.

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Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0 using a vertical element

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Q: 1 n³(x-3)" The value of x for which the series - A2<x<3 or 3<x<4. B.2<x<3 or 3<x≤ 4. C.2<x<4. D.…

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Q: Set up the integral representing the area of the region between the curves x = -2, x= 3, y=x²-3, and…

A: Given problem:- Set up the integral representing the area of the region between the curves x = - 2,x…

Q: Consider the region on the 1st quadrant bounded by y = √√4 — x²,x and y - axes. If the region is…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = S [² f(x) dx + √° 9( g(x)…

A: Given the region is bounded by y = x3 , y = 2x+4 and y = -1. Intersection of y = x3 and y = 2x+4 is…

Q: Find dy/dx by Implicit Differentiation 2xy³ – x²y = 2

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Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

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Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to…

A: Please follow the next step.

Q: Using √√x + 1 √x-1 express the final answer in terms of X. Substitution Rationalizing dx = y² + 4y+…

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: We need to find equation.

Q: The power series representation of f(x) = n(x²-1) is given by ΑΣ (-1) -1. I =1<x<l #ΞΙ 8+1 B. None…

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Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

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Q: find dy/dx : y =3√tan3xx2

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Q: The graph of the area between the curves f(x) = x and g(x) = x^2 on interval [0,2] O. O X & Y in…

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Q: d'y dx2 -sec³t -csc³t Find a. O b. O c. sec³t Od. csc³t Oe. in terms of t of x = sint, y = cost none…

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Q: Pleaase help me in my subject Calculus   The volume for solid revolution between the curves y =…

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Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 1. y= 2x² - 12x…

A: A detailed solution is given below.