If 3x² + 2xy + y² = 2, what is? dx

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6,    (3, 1)

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Q: cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour)…

A: This question is related to distance and speed, we will solve it using given information.

Q: Determine which of the graphs below have Euler circuits. Vo Vg VI 3 m (US S 5 e6 4 33 V3 Ug (US 27…

A: Euler circuit: An Euler circuit starts & end at same Vertex Here in the given problem we have to…

Q: 3. Find the volume generated by revolving the ellipse whose equation is a² x-axis. 4 лab² (Ans. 3 )…

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Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p=…

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Q: 1. The simplified form of the logarithmic expression log6 + 2log3 is a. log36 b. log54 c. log81 d.…

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Q: Find the derivative of the function. f(x): = sin ¹(6x) f'(x) = | −6 cot ( 6x)csc(6x)|× Need Help?…

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Q: Find the absolute minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the…

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Q: y = 7 cos(x), y = 7 - 7 cos(x), 0 ≤ x ≤ π

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Q: Determine which numbers could not be used to represent the probability of an event. Select all that…

A: Here we have to determine which numbers could not be used to represent the probability of an event.…

Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: Find the center of mass of the given system of point masses. (x, y) = mi 5 1 3 (Xi, Yi) (2, 2) (-5,…

A: In this question, we want to find the centre of mass of the given system of point masses.

Q: Differentiate implicitly to find the first partial derivatives of z. 2x2 + 11y2 + 3z2 = 36

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Q: lim x²+3x sin x x-0 0 3 01 O does not exist 0 0

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Q: Find and sketch the domain of the function. f(x, y) = √√√√4x²-√√25-y² O -6 DO -4 -6F 4 6 -6 -4 4 4…

A: The set of points (x, y) where the function f(x, y) is called the domain of f(x,y).

Q: Find the acute angle between the line joining A(1,2,3) and B(5,1,7) and the plane containing point…

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Q: Solve the following differential equations of d²y +9y=2e³x +18x+18 dx²

A: First i I have find the complementary function and then particular solution then adding these two…

Q: Determine whether the series sum. 1 12 16 3 4 The series is divergent. n=1 4n-1 is convergent or…

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Q: 3 Find the area between the curve of X = and the y-axis on the interval [2, 5]. 2.749 3.296 4.159…

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Q: Find fx, fy, and fz, and evaluate each at the given point. f(x, y, z) = x2y3 + 2xyz − 7yz, (−3,…

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Q: valuate the integral j√16-³ dx.

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Q: Find the scalar and vector projections of b onto a. a = (1,6), b = (-7, 1) compab = projb =

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Q: 1. In x x² dx

A: The given integral is: I=∫16lnxx2dx   So, we can also write as; ∫16lnxx2dx=∫16lnx·1x2dx=∫16lnx·x-2dx…

Q: If the demand for a pair of shoes is given by 2p+ 5q = 200 and the supply function for it is p-2q =…

A: In this question, we want to compare the quantity demanded and the quantity supplied for a pair of…

Q: Use the Table of Integrals to evaluate the integral. 6 1 dx X 4x 7 Select the correct answer. The…

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Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: The base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1].…

A: Here, the cross-section is perpendicular to the x-axis. Therefore, the area is a function os x.

Q: Find the domain of the following function. 5 f(x) = 81-x² The domain is (Type your answer in…

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Q: In one area, the lowest angle of elevation of the sun in winter is 20° 11'. Find the minimum…

A: As we know that for a right angle triangle tanθ=HeightBaseAnd conversion formula from minute to…

Q: Integrate => = dr ( (bsin) dø => lnr = Letiu 1-b cos / dy = - (-bsin D) 14 1 (trusteena aid) b sing…

A: Integral question

Q: Find the domain of the following function. 1 f(x) = 2 25-x

A: Given function f(x)=125-x2we know that fraction abis defined when b≠0the function is not defined…

Q: 23 In the graph below, determine whether the given walk is a trail, a path, or a circuit. VI V5 V2…

A: We have to determine the path of given walk.

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: Evaluate: S (5 — 2 sec 0 tan 0) de - O 0.79 0.68 O 0.95 0.84

A: ∫π6π4(5-2secθtanθ)dθ

Q: form: 2)If z=(2√3-2i)² then the angle 0 in polar 71 117 6 6 خیار 1 117 3 خبار 2 خبار 3 O

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Q: If f(x) = 2x²e*, find f'(1). 2e 6e 0 4e

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Q: Evaluate the integral f sin²x cos³xdx.

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Q: Find , given y = log(ev+x²). dy dx

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Q: State the coordinates of intercept(s), end behavior, and domain and range of the logarithmic…

A: Lets have the graph of the given function to better understand above requirement

Q: Find each function value and limit. Use - ∞o or ∞o where appropriate. 7x+2 f(x) = 2x-2 (A) f(10) (B)…

A: Solve the following

Q: x - ln x + 1| + C

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Q: Calculus I In the exercise f(x)= cos x + sin x; [0,2pi], find the following 1.) Search for…

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Q: The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections…

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Q: Evaluate the integral. 5 0 √ x² + 25 dx

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Q: ind area bounded by y = 0, y =√x-x² using double integration.

A: We have to find area of given region.

Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: Q6A)If y sin find Zxy.

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Q: (I) Find the critical points of the function f(x) = x + x² + 1

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Q: a) y || (т. 3x 5x-x2 3

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Q: How many paths spell MANAGE? A N A A E a) 15 b) 100 c) 10 d) 20 M ΣΖ A E N G A

A: Use: Pascal's method