dx x²+x-6 9-

Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

Q: Solve for the differential equation, show detailed solution. xy' = y e^(x/y) - x

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Q: Graph the line x - 2y = 4 and find its intercepts.

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Q: (b) Find an operator A that annihlates the following functions. i. In(x) ii. to , α ε R iii. sin(3 I...

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Q: lim g(x) =, lim g(x) ; lim g(x) 1. -1- 34 2. g(-1) = 2- 3. lim g(x) = lim g(x) = ;lim g(x) = x0- 1. ...

A: Topic = Limits

Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: A dice is thrown What is the probability of getting 1- Get number 1 2- Get the number 4 3- Get an ev...

A: A dice is thrown. We have to find the probability of getting: the number 1 the number 4 an even num...

Q: V Sove usig variation of parameters reduction of order or (D²+1) y = sectx seet,

A: Let's find. 

Q: Sketch the graph of a function such that lim f(x) = -3,f(0) = 2, ƒ(2) = 5, and lim X-2 doos not oxic...

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Q: Find the differental equation of the family of plane curves described, Draw at least three members o...

A: Formula: Circle equation (x-x1)2+(y-y1)2 =r2 given, Centre on y=x is (b,b) And radius =k

Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

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Q: Use a 45°-45° right triangle to find the exact value of the following trigonometric expression. cos ...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the radius of the circle i...

Q: Find the six trigonometric function values of the specified angle. 24

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Q: 2 Let R be the region of the 1st quadrant surrounded by a curve. X : + 2 straight straight line line...

A: The region is bounded by,       x=y2+2 ; y=4-x and x=2

Q: 6. - ydx + (x ++ |xy )dy = 0

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Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin ...

Q: A particle moves according to a law of motion s = f(t),t20, where t is measured in seconds and s in ...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: find the diff eq. of the family of curves described. draw atleast 3 members of the family. all circl...

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Q: dx =(x²yeº- 3xy²) dy |

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Q: Jse the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 20,000 -225p E...

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Q: Let f(x, y) = (x+(G))'. Determine the directional derivative of f at the point (1,0) in the directio...

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Q: 1. Solve the triangle. Include all possible triangles. Round each value to one decimal place a = 3, ...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 7-4х 3. У 3 5+ 2х

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Q: (b) Explain why the integral e- *x* dx is convergent.

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Q: 14. y(4) – 4y" + 4y" = 0

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Q: xy' = y elwy) – x

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Q: For real number p, let f and g be defined by f(x) = e- and g(x) = 1/xP, respectively, on [1, 0). f(x...

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Q: 3 +1 mect

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Q: Find the deri vative. y= tanx sec x t CsC X

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Q: f'(t) = sin tf (t).

A: Given that: f'(t)=sin t f(t)...(1)

Q: written

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Q: Find the derivative of the following functions.

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Q: Part 1 of 2 A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand ...

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Q: Find f'(x) from first principles, given f(x) is: a) x b) 1 c) -x^2 d) 2x^3

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of...

Q: Explain why the integral ex* dx is convergent.

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Q: Differential equation y+sqrt(x^2+y^2) dx = xdy

A: Differential equation

Q: Find the length of the curve 7 (t) (9 In(t), 4t?, 12t) for 1 <t < 6

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Q: 4. ( * x)dk =(2y-)dy 2Y- I+x?y2

A: For the solution follow the next step.

Q: Differentiate (xy)* = e a. y' = Y(1+lnxy) c. y' = Y(1-Inxy) b. y' = x(1+lnxy) d. y' =Y(1+ln xy) y

A: (xy)x=e Take logarithm on both sides: ln(xy)x=lne ln(e)=1: ln(xy)x=1  

Q: 4. dy/dx = sec ²xsec³y

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Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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Q: Find the lengths of the unknown sides in the right triangle.

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Q: 4. An imaginary ant is walking on an imaginary cartesian plane so that at any point (x, y) it moves ...

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Q: Use a system of linear equations with two variables and two equations to solve.   287 students enr...

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Q: and x :8 and stra ight : 1 y Let R be an area enclosed by a curve. Find all intersection points in R...

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Q: (b) If u =x cos y+ye", where x = s+2t and y = st, prove that %3D ди ди 2 (s – 21) (x² siny – xye" – ...

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Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: y= h(x) 2+ 1+ + -1 -2 1 2 -1 Identify all of the values of c for which h(c) is a local maximum of h....

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Q: -3x3 dx V5-x8

A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45