Find dy/dx fc (1) y = x³ Inx ,,2

Q: Solve the given differential equation. All solutions should be found. 3x² - 3y - y³ 3x + 3xy² dy dx…

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Q: 13. f(x)2(x-4Xx+3y³ a. b. C. lim x-2+ f(x) = f(x) =

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Q: Solve the differential equation dy dx x²(y²+3) + y (x³+1) = 0.

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Q: y = x ² √√9-x² = x²(9-x²) ¹/2 WwS =/0²7 xF-P y² = x² [² (9-x²) ²¹/²2 (2x)] + (9-x²) ¹2 (2x)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1. The point P(2, −1) lies on the curve y = 1/(1 − x). (a) If Q is the point (x, 1/(1 − x)), use…

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Q: Find the area bounded by y = Round to four decimal places. O 1 21 2 2 36-4x2 " 3 x 0, y = 0, x = 2.

A: This question can be solved by the concept of area bounded by curves.

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

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Q: The shaded region between the graphs of y y = 3x - 15 is displayed below in orange. 2x² + 20 and

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve for x, y, z, and win the matrix equation (X, Y, Z, W) wx 2 {]+=[xx]-

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Q: When the temperature T of a refrigerated food product is between 5° F and 35° F, we can model the…

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Q: 12. Simplify with the goal in mind to cancel the h that is in the denominator. -1 -1 2(x+h)² 2x²…

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Q: Determine where the function F(x)= 4x 2 x +49 is continuous. The function is continuous on (Simplify…

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Q: 13. Let ƒ(x) = 1 3 1+(3x+2)² 2√√3x +2 Find f (17). 12

A: The given function, fx=11+3x+22.323x+2 we have to find the value of f-712

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: For the point P(-20, -3) and Q(-13,0), find the distance d(P.Q) and the coordinates of the midpoint…

A: For P(x1,y1) and Q(x2,y2)⇒d(P,Q)=(x1-x2)2+(y1-y2)2Midpoint M of segment PQ=x1+x22,y1+y22

Q: limx→0 sin 2x 2x²+x

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Q: Find f(x) + g(x), f(x) g(x), f(x) · g(x),. F(x) ,f(g(x)), and g(f(x)), if defined. See Example 5.…

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Q: A differential equation is an equation A that contains a derivative like y'(x) as well as the…

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Q: Calculate, to four decimal places, the first ten terms of the sequence. 3n 1 + 4n an =

A: Given, an=3n1+4n

Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

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Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: 3. g(u) = √u+√4=u

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Q: 6. Write the following power functions in the form f(x) = kx² a. f(x) = -³/3 x3 b. f(x) = ³² c.…

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Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

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Q: Obtain the General Solution of dx + xydy = y²dx + ydy.

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Q: Question 2 Nontando kept water bottles in a rectangular box with ice cubes in order to sell them to…

A: To find out the diameter of the water bottle in millimetres.

Q: 3. The dot product of two orthogonal vectors is: A.undefined. B. Zero, C. Infinity.

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Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

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Q: 13. Find the area of the region bounded by the graphs of y = x, y = -x + 8, and y = 0

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Q: 14. Evaluate to 4 decimal places: csc 153°

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Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

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Q: 1. Prove if the given DE is exact or non-exact and find its general solution. (2xy - 3y)dx + (x² –…

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Q: Change the following integral to polar coordinates and evaluate: 4-x² [2² 0 x² + y² dy dx Sketo

A: To convert Cartesian coordinates into polar coordinates we use the following transformation, x=rcosθ…

Q: 3. Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) = 2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

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Q: question 7. x + 128x + 96x = 0 answer 7. x = C₁e(-64+20√10)t + C₂e(-64-20√10)t

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Q: Calculate $o (3x + 5y - cos(y)) dx + x sin(y) dy if C encloses a region of area 4.

A: To evaluate the given integral.

Q: The locations of three receiving stations and the distances to the epicenter of an earthquake are…

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Q: Solve the differential equation by separation of variables: (x²+4) dy + x²y²dx=0 Ⓒ 1 y There is no…

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Q: 1. h(x) = √4x²

A: Given function h(x)=4-x2

Q: 17. Determine the equation f(x) = cosx as a sin function.

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Q: Write 11 Stan¹¹ iftan x dx in terms of 9 tan x dx

A: The integration of tan11x write in terms of tan9x.

Q: determine the,unknown function and the independent variable in each of the following differentail…

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Q: 2x усха=<,ex + Czerx + зе + 3х. у сол=а, ў' сог=0

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Q: You are calculating a tip on a restaurant bill. The service was good, so you would like to tip about…

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Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: 2. Use implicit differentiation to find tangent at the given point: (a) xy + y² = 3-3x² at (-1,1).…

A: use implicit differentiation, I try to provide typed solution, if it is helpful like it.

Q: 6. Let [√16-X² Find y(2√3) 16-x? 2 16

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Q: Sketch the region and find its area. The region bounded by y = -8 00 8 Y -00 X 36 9+x² Calculate the…

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Q: Verify if the indicated equation is an explicit or implicit solution of the given DE. y = ln…

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