What is y2 = 3x in polar form? r = 3 sin 0 sin 0 O Option 4 r = 3 csc 0 cote Option 2 r = 3 sin 0 - cos²0 Option 1 r = 3 cos 0 - sin²0 Option 3

Q: where b₁,b2, b3 are constants and 8² w 8² w ឃ 8² w + əx² Əy² az² If web₁x-b₂y-b32, = b+b+b = 1. Show…

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Q: Part III: Approximation and Differentials. (no using of calculator present all manual computations).…

A: To estimate the value of (217)(1/3) by approximation and differentials.

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

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Q: Given the partial decomposition of the rational function for some numbers A, B and C. What is the…

A: Given :x+1(x-1)(x-2)(x+3)=Ax-1+Bx-2+Cx+3

Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x <2 or 4<x. C. None of the choices in…

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Q: Find fy for the function f (x, y) = yx³ – 2x²y³ y - y³ x³ - 6x²y² Option 3 y - 6xy² 3 _ 2xy® -…

A: Topic:- application of derivatives

Q: dx Evaluate ·S- x1/2 + +x213 A none of the choices B С) ℗ D E using rationalizing substitution. 3 ln…

A: Let's evaluate given integral by rationalizing substitution.

Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: Here we have to find the value of r and then plot the polar graph.

Q: Evaluate S dx √x² +25

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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 =…

A: Given :y=x3+2x2-6x+5line : 2x+y=4

Q: The face of the gate of a dam is in the shape of an isosceles triangle 4-m wide at the top and 3-m…

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

Q: Not yet Simplify 3-3-1-3-2 O a. 5(3-2) O b. none of these Oc. с. 3(53-2) O d. 33-2 o e. 3³-n

A: To simplify the given expression .

Q: Suppose that the price-demand and the price-supply equations are given respectively by the…

A: The price-demand equation is p=Dx=40-0.2x and the price-supply equation is p=Sx=27.5+0.001x2. (a)…

Q: Set up the integral representing the area of the region between the curves x = -1, x = 4, y = 2x -…

A: Consider the figure

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Solution is here

Q: A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f, the tangent…

A: Given problem:- A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f,…

Q: Find the derivative of the following using the differentiation rules. (x²-2x) (In x³-3 tan x) x√x y…

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Q: x-y SS² dA over a square region Using the transformations u=x-y and v=x+y to evaluate Rx+y with…

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Q: The numerical value of the lim n+3 nln (2) "→ ∞ \ 11 + 1 is equal to

A: We need to evaluate the value of the following limit limn→∞n+3n+1nln2 Formula Used: limx→∞1+axx = ea

Q: 2. Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal,…

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Q: 1.ƒ(x) = 4x³ – 7x² + 2x − 8 -

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Q: dx Consider S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z. A…

A: find out the integrand in terms of z.

Q: Part I: Polar Points 1. Name the point (-2,7) in three other ways on −2ñ < 0 < 2ñ

A: Here, the given polar point is: -2,2π3

Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.

Q: The integral can be rewritten as 6u³ (a). u + 1 6u4 (c). u² + 1 :). -du du dx 3³√x + √√x 派 派 6u² u²…

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Q: Given the function f(x, y, z) = z ln(x + 2) + following and simplify your answers. a b) fry cos(x -…

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Q: Q2: A company plans to update its equipment so that its trucks are replaced after ten years from…

A: To find out the amount that company needs to pay each year.

Q: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.5) 5 1 -7 -6 -5 -4 4 y…

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Q: stion 12 The power series representation of f(x) = ln(x²-1) is given by OA. None of the choices in…

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

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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

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Q: 6x+13 1. Sx²+5x+6 - dx Co² (²) du

A: Dear Learner,We expert are following bartleby expert guidelines to answer the Questions. In case of…

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: 4.Determine the area bounded above by y: 5 + x² and below by y = 1 + 2x²

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Q: x³ - y = 0 Determine the area bounded by the curves x² and y + 3x² 4 = 0, using a vertical element.…

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Q: The integral can be rewritten as 6u³ (a). Su + 1 di du 6u4 (c). √ ₁² + 1 du dx ³√x + √x S 6u² (b). √…

A: Given :∫dxx3+x

Q: The volume for solid of revolution between curves is the volume of the object between a curve f(x)…

A: We have to find the volume.

Q: If F(0) = 2 and F(5) = 5, then F'(x) dx =? 05 3 O

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Q: The area between the curves f(x) = x and g(x)= x^2 on interval [0.2] * 02 Me: wow I finally…

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Q: (π/4 sec4x dx

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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: B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

A: Given :∫cosxcos4xdx

Q: Suppose sec(0) = 3 and the terminal side of 0 does not lie on the first quadrant. What is the value…

A: Given sec(theta) = 3 and (theta) is not in the first quadrant. We know that sec(theta) is +ve when…

Q: Find the area bounded by x2 = 4y + 4 and x = y 2. Using vertical element, what is the integral…

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Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…

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: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

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Q: The function f(x) = x² - 16 The function f(x) = |x|e² an inflection point at c = 0 since an…

A: Let's find inflection point  of given function.

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to determine where…

A: Here, given that f''(x)=x2(x-7)(x-2)