Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

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Q: 1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the…

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Q: Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 + 2i)…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

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Q: 2 S Sec'x In cotx) dx

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Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

Q: Find the average rate of change of the function f(x), given below, from x = -2 to x = 5. f(x) = x² +…

A: Topic = Functions

Q: Find the points on the surface z²2=xy+1 that are closest to the origin using LaGrange multipliers

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Q: The Newton forward-difference formula is used to approximate f (0.3) given the following data. 0.0…

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Q: Given f(x,y)=e³x² find the directional derivative at the point (-2,0) in the direction of (2,-3)

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Q: Applied Calculus Class: Please see the complet review example for reference. and solve the given…

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Q: frequent problem in surveying city lots and rural lands adjacent to curves of highways and railways…

A: We have to find the total area of the given picture which contains one right angle triangle and one…

Q: Rewriete rhe following equations into standard form amd dentify the vertex, focus, axis the…

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Q: Find the extreme values of f subject to both constraints. (If an answer does no f(x, y, z) = x + 2y;…

A: using lagrange multipliers.

Q: Which of the following point is the projection of the point (0, 4, 2) on the yz-plane?

A: In this question we have to find the projection of the point on the yz-plane.

Q: 2. Find the first 4 terms of Taylor series for the function (In x4) about x = 3 ?

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Q: 4 B 6) Find the value of cot t if cos t = a) √/3 O b) 01/12 c)0 V₂ d) 0 1 Previous Next - and T < t…

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Q: D Operator: Solve the DE y" - 7y" +14y - 8y = 0 y = c₁e¹ + c₂e²x + c3e4x Oy=c₁e²x + c₂e4x + c3e6x y…

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: let (5,-7) be a point on the terminal side of 0

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Q: f(x) below, what is the open interval(s) over which f'(x) is negative? 6 5 4 3 2 1 1 -2 -6-5-4-3-2-1…

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Q: Ex Gen If dy = y cost and y = 3 when t = 0, then y = dt 56. A. esint +3 C. sint + 3 B. 3e sint D.…

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Q: A road perpendicular to a highway leads to a farmhouse located a = 1.3 km away. An automobile…

A: We can solve the given problem by using the concept of derivatives.

Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

Q: 3 fx²³√₁² + x² dx X 2 a

A: Sol

Q: x² dx √1+4x³

A: Solution of given question is written in below steps.

Q: O. p. S sin 2x cos 3x dx 3dx /1 + 9x²

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Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

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Q: 8. Given the space curve r(t) = (sin²t, cos't, tant), find an equation of the tangent line in…

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Q: 1. Evaluate the iterated integrals. In 3 In 2 (a) f f e** dydx S S 00 (b) ff X 00 (xy+1) dydx (c)…

A: This question is related to double integration, we will solve it using given information.

Q: Use MATLAB to PLOT and CALCULATE the following integrals. Label the x and y axes of the plot. -1…

A: We have to use MATLAB to PLOT and CALCULATE the following integrals.

Q: Evaluate the following double integral by converting to polar coordinates where J 5xy 2x² + 2y² R…

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Q: The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are…

A: I have explained the solution.

Q: 1: A :Find Laplace Transform of f(t) = sin²t By Rule.

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Q: 3. Use polar coordinates to evaluate the double integral. (a) ff sin(x² + y²) d4, where R is the…

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Q: Evaluate the integrals: 1. f2-* dx √x (ln 2-1) dx 2.

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Q: 2- Concisely describe what the following terms mean for a set of vectors and how we quickly check…

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Q: Find the slope of the line if it is defined. Through (-11,-5) and (-1,4) Select the correct choice…

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Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: DETERMINE THE SLOPE OF THE TANGENT LINE TO THE CURVE y=2 – x2 at the point (3,-7)

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Q: J sin(lnx) dx

A: Let's solve given integration.

Q: QUESTION 8 Write the given iterated integral as an iterated integral with the order of integration…

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Q: 63. ei (x) gouloeteluoisey aut Ho The graph of g consists of a semicircle and two line segments for…

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Q: R is the region bounded by the functions f(x) = sin(x) + 1 and g(x) = 2x/π + 1. Find the area of the…

A: Area between curve

Q: x = −1+5t y = 3-s-2t z= −2+s

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Q: Using lim 0-0 sin 0 0 =1, find the limit. lim 18x (cot x)(csc 9x) X-0

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Q: Could you explain in detail how you got tan^3(theta) = 3. Thanks

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