xcosx 2. Lim: xo sin²x 2

Q: Which of the following statements is an exponential function? A y=14x+2 (B) y=(6x)² Ⓒ y=(2x+5)3…

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Q: Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13…

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Q: The hyperbolic paraboloid (saddle) f(x, y) = x² - y² + 4 is shown in the 3D model below. Find the…

A: Here, to find the volume f(x,y)=x2-y2+4 between the rectangle R=[-2,4]×[-1,2]

Q: The triple integral ¹²-x² √4x²-y x dzdydx is equal to 0.33 0.08 None of them O

A: Let's evaluate given triple integral.

Q: ƒ (x, y) = ln (√√x²y³) f

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Q: II. Draw a sketch of the given arc C and evaluate Sc [(x² − 2y)dx + (2x + y²)dy]. → 1. C is part of…

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Q: Find the linear equation of the given below using any of the 3 methods. Show your solutions here. X…

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Q: The Maximum point of y= (x²+2x+10) (x-3)

A: Given    find derivative

Q: Find the measures of the angles of the triangle whose vertices are A=(-2,0), B=(3,3), and C=(1,-1).…

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Q: In evaluating S dx is same as evaluating lim C-3+ (In(f(x))). Determine the value of f(x) if x=3.4.

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Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

A: Note: Unit of temperature °FTs1=Outdoor temp or surorunding temp 1          = 15°FTo=Thermometer…

Q: (√t-9) dt

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Q: 4. Find the general solution to each of the following differential equations. (a) 2xy² - 1 +…

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Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: A critical point is a point where the derivative of the function is 0 or does not exist. At critical…

Q: If x = t² and y = t³, then y O t O o O 3/4t O 3/t O Other: =?

A: In this question, we have given the values of x and y in the form of the variable t and we want to…

Q: Evaluate Dy tan(y) + 1 tan(y) - 1

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Q: 3. The auxiliary equation of the differential equation (D² - 6D+9)y = 0 falls under Prove your…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: II. Solve the following problems. Enclose final answer. 7.Find of z = 2x³ - 5xy² xy

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Q: 1 -4 The reverse order of SO SAY ex² dxdy is equal to e-1 8e None of them O

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Q: Find x/2 x-3 lim 148 x+1 O limit does not exist e^-2 Oe^-4 0-2 O-4 O Other:

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Q: Suppose that f: R (0, ∞) and that f'(x) = f(x) ‡ 0. Prove that (f-¹)(x) = 1/x for x > 0.

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Q: Evaluate: lim (1cosec²x + 2cosec²x + 3cosec²x + ... + n° x-0 +ncosec²x)sin²x

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Q: x² - 2x² + 3x² -x +3 "x²³ - 2x² + 3 3

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Q: The general solution of (D²-2D+1)y=2sin x y=C1eX + C>XeX + sinx By=c₁еx+c₂xe* +2sinx Cy=c₁еx+c₂xe* +…

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Q: 2 d So (x + 2)²0 Using Trapezoidal method spaces) dx for n=4 is equal to Blank 1 (use 2 decimal…

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Q: S. S. (x + 2y)dydx = 10, Jo a

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Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under_ Prove your…

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Q: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

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Q: 02/Use the l'Hopital's rule to find the limits in t3-4t+15 a) lim t--3 t²-t-12 X-8x² X-00 12x²+5x b)…

A: Given problem:-

Q: 3 If the function u = ln (2³ +2²4-²) then x ou + you is 2e^u e^2u 02 1/2 Other:

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Q: formula for the sum of the first n terms of a geometric sequence to find the sum of the first 11…

A: Given query is to the sum of the 11 terms

Q: when the first nine terms of an arithmetic sequence is added. its sum is 72. what is the value of…

A: The fifth term will be ,a5=a+4d=8

Q: Cx²e*dx

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Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: Sketch the region enclosed by the following curve and find its area. x = y^4, y =√2 − x, y = 0

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Q: (b) Determine the rate of change of area A, of a circle with respect to its circumference C.

A: We have to find the rate of change.

Q: Prove 3. The auxiliary equation of the differential equation (D² - 6D+9)y = 0 falls under. your…

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Q: Question 2 Given a differential equation as d²y-5x dy +9y=0. dx² dx By using substitution of x = e'…

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Q: Calculate the points of intersection of the curves x² = 4y and aup ert neswted biloa ent to y²/4 = x…

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Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

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Q: The Critical Point of y = xe*

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Q: 8. The general solution of y"- y = x²ex + 5

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Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^3 – 2D + 4)y = 0 ; y = –2 , Dy = 8, D^2y = 0, when x =…

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Q: [ * ² {( x=-62² ) + x ² (2 X-67 ° S - XP(x - 5] [9_xP ( _ex-b^) -b). E [+5₁ dx=6₂ 3 My = 3dx = 1/2/2

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Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: 3. Look at the figure below. Find the value of x and the measure of each angle. n 1.x = 2.42 = 3.26…

A: We know that alternative interior angles are same Therefore 5x-14=3x+18 Subtract 3x+18 from both…

Q: 2 S²3 (x²-3x+18) 9x-X³

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Q: Q1/ Find the area of the region bounded by the given curve (y=x²-5) and the curve (x = = -) by means…

A: Given y=x^2-5 & x=-y/4

Q: The reverse order of 4 So Say ex² dxdy is equal to e-1 8e None of them

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