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Q: 1-a limz→1 =? O -2 O 1 O Does not exist

A: find limit

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: A) y=3x^2+3x B) y=(e3x+e-3x)/2 C) y=log5(tanx).

Q: If y = x2 is expressed with parametric equations such that = 6 when x = 1, what is ? dt dx %3D dt

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Q: Determine the general solutions of the following differential equations. 1. (2x - xy2 - 2y + 3)dx –…

A: We can solve 1 problem only.

Q: Find both first partial derivatives. Z = cos(4xy) %3D Oz %3D ду

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Q: 18 of 20 Find the equation of the tangent line to the curve y = Vx+2 at the point (2, 2). y = 금z + 2…

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Q: Solve the following problems. 1. (x²-2y²) dx+3xydy=0

A: This question can be solved using the concept of homogeneous differential equation.

Q: +, ×

A: Given problem:-

Q: If f(x, y) = x cos y + ye", find the second-order derivatives %3D af a²f ах ду" and ar" dy ax'

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given:-the region bounded by x=y4,  x=1rotating about the line x=7using washer/disk…

Q: 9. S (6eº+1)/½ eo 10. |(1 + 2x)³ dx

A: We can solve as follows

Q: The guen

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Q: 2 ー (4-x²) dx -2

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Q: Question 3 Suppose C=0, so that 2y 24y 5x3 = 0. Find all points (x,y) at which the tangent line to…

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Q: dy Find of sin x + cos y = ety. dx

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Q: Consider the differential equation xy" + 3xy' - 3y = 3x - 2x. (a) Verify that yi = x and y2 = x…

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Q: 3. lim X→n/2

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Q: 1 - dx = x² – 6x+8 -4 +C х-2 (A) In x- 2 In 2 (B) +C - 4 (C) 극미(x-2)(x-4)|+ (D) n|(x-4)(x+2)|+c (E)…

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Q: X+3 Q4) Find the integration by using: J: dx 2x3-8X

A: This question is based on indefinite integral.

Q: Glven fx) dx = 9 and fx) dx = -4, evaluate the following. Exercise (a) Step 1 To evaluate the…

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Q: lim TDC – 1 2x?

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Q: 2. A rocket is launched in the air. Its height (in meters above sea level) as a function of time t…

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Q: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

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Q: I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin…

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Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

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Q: Fnd the average value of the function over the glven Interval. (Round your answer to three dedmal…

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Q: Consider h(x, Y, z) = cos (xy) + eY% + ln (xz). Determine the directional derivative of h at the…

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Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral

Q: sid problem: |-Int in 200 =lin %3D

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Q: Fnd the Indefinite Integral and check your result by differentlation. (Use C for the constant of…

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Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

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Q: 49 x dx -7

A: answer is in next step

Q: f(x) = x* - 32x + 5 (a) Find the critical numbers of f. (Enter your answers as a comma-separated…

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Q: Find the exact value. Show all work, including a sketch: cos(sin-1 (),

A: We have to find the exact value

Q: 4 6 Find A-1, if A 2 4

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: 1. 2x2 + 4x + y = 0,y = 2x %D %3D

A: Given :

Q: Evaluate the definite integral by the limit definition. Step 1 To find the definite integral 9 dy by…

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Q: Convert the differential equation x''' = x'' – 2x' – 4x +t into a system of first order equations by…

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: Use the ratio test to determine if the following series converges or diverges. 7" n=1 n!

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Q: A ladder 10 m long is leaning against a vertical wall. If the bottom of the ladder is pushed…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = t3+3°dt f'(x) =…

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Q: 14. If a baby is dropped from a height of 300 meters, its height s at time t is given by s(t) =…

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Q: Which identity is most useful in evaluating sin² x dx? sin? x + cos? x = 1 cos 2x x = 1- 2sin? O…

A: The given integral,         ∫sin2x dx

Q: Obtain the inverse transform of the following 2s-3 1. s2-9 10 (3s2+12) + (s²–25) 3s-2 3.…

A: As you have asked multiple questions so I have answered only first question as per the…

Q: 10) Eind the eçuation of the plane Contaihins the two vectors 2and ,and the point PU2ー)

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Q: Select the correct answer. Which hyperbola has both foci lying in the same quadrant? O A. (- 24)2 (y…

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Q: C. 5 3 B. A

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Q: Find the area bounded by y = x+ 4 and y = x2- 2. Answer:

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