3) f(x) =9x/チxー3 %3D

Q: 6. |x²e-2*dx

A: Solved below

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A: Solving the problem by finding the solution of the integral.

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A: Question- Suppose that f(0) = - 5 and f'(x)&lt;=4 for all values of x. Use the Mean Value Theorem to...

Q: 10. Homogeneous Equations: Solve the differential equation: xdy – ydx – x? –- y²dx = 0 O arccos() = ...

A: dydx=y+x2-y2xdydx=yx+1-(yx)2y=vxdydx=v+xdvdxv+xdvdx=v+1-v2x dvdx=1-v2  ...(1)

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Q: Find the sum of the infinitie geometric series. (If an answer is undefined, write UNDEFINED.) 64+56...

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Q: 36,37

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one. ...

Q: ue Q(t) = 2400e-0.05t where t is measured in years, answer the following questions. (a) What is the ...

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Q: r = sec(20)tan(28)

A: To find the derivative of the function.

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Q: TE: Enter the exact answers in terms of i,j and k. Same direction as – 3i + 5j. u = Oppositely direc...

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Q: If f'(x) = x(x – 1)(x + 3), then f(x) has a local minimum at: Select one: O a. ? = 0 only O b. x = -...

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Q: c notation and fractions where needed.)

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Q: ind any critical numbers for the function f(x) = 6x - 3x +8 and then use the second derivative test ...

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Q: Rush

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Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

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Q: Sez? dx + x* dy + y dz, Cis the line segment from (1, 0, 0) to (4, 1, 2)

A: For the solution follow the next step.

Q: 5. 5 and f are vectors such that S = 15 with a direction of 73° and = 22 with a direction of Mugnitu...

A: Find your answer below 

Q: f(x) = (3x + 1)(x – 4) / (x + 2)(x – 2) %3D Domain x-int = Intercepts y-int = V.A. Asymptotes and Ho...

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Q: 2. If y = xlnx,

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Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+ 3k w = i+ 5j + 7k Find the ...

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: here the vector make 0 degree with x axis it means it is on x axis  so its components are (x,0,0) [[...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = xo and then find the nth Taylo...

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Q: 1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the me...

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Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: The objective is to write the required differential equation.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Here, given that u=9, v=2, θu=0°, θv=60°

Q: aie of sin(4x)+8 cos(x)+2x2 cos(4x)+8x sin(4x)+.

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Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

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Q: 11. An airplane is flying parallel to the ground at an altıtude of 2 km and at a speed of 4 km/min. ...

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 4 y + 7 = z +...

A: The equation of the line is x-43=y+75=z+5

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

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Q: Use vectors to find the lengths of the diagonals of the parallelogran that has i +j and i – 2j as ad...

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Q: 1.0 0.5 2.0 1.5

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy + 3y², Po(4, - 2), A...

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Q: Let f (x, y) = 3x – 2²y. x = -t, y = s + 2t dz dz Use an appropriate chain rule (involving , , etc.)...

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Q: Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). I 5( . sin...

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Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da. ...

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Q: Determine y' by using the formula for the derivative of arcsine function. a. 1 b. sinx c. COSX d...

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Q: (t -x)dt – tdx =0; when t = 1, x = 5

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Q: t in 30 minute please duopoly with homogeneous goods. There ar

A: When there are only two firms in the industry, it is in their advantage to collude and set the price...

Q: 4 5 y = x? – 8x – 6 + - 8x – 6 +a

A: We have to differentiate the given equation. 

Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-4y)^9 ax^4y^5

A: The given binomial,     3x-4y9

Q: Let y 522 + 2x + 3. If Aæ = 0.4 at x = 3, use linear approximation to estimate Ay Ay =

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Q: dx x2 | C 2 sin-Vx+C sin-Vx + C -2 sin-1Vx+ C sin-1x + C 2 - O A E None of the Above 12

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Q: Find the are length of the curve y² = 3x between the from x=0 to x=9 ! Use integral approximation! %...

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Q: What is the directional derivative of the function at the point (1, 0) in the direction of the point...

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Q: Solve for all vectors X so that × X = .

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Q: Evaluate. S*+ 2y)dx dy 3.

A: