The Maximum point of y = 9-x² x²-4

Q: Q3/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 818 ex+2x 3. lim 818…

A: According to the question, we will calculate the limits of any two subparts.

Q: The expanded form of the differential operator D(xD-1) is A XD²+1 B XD² C XD²-1 (D) XD²-D

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Q: Find L-1 ((₁+1)² (s+1)(s²-1)/

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Q: Find L(te²t sin 3t) 2t

A: Given:       Lte2tsin3t  Use Laplace transform table:          Ltkft=-1kdkdskLft For te2tsin3t:…

Q: What is the differential equation corresponding to the general solution y² = Cx³. dy 2y = A dx 3x dy…

A: solution:-y2=Cx3where C is only one arbitrary constantdifferentiate both…

Q: Lim (sinx)* -0+

A: Given query is to find the limit of the expression.

Q: Determine the area bounded by f(x)=x²-x and x-axis. unit² B unit² Ⓒunt² D unit²

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Q: x³√/x² + 1dx

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Q: + 1) dx A B C (x + 2) (x - 1)² = √ [++^2 + == 1 + (0-12 dc. ]dx. dx, the values of A & C…

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Q: An equation of a hyperbola is given. (x+3)²-(y - 3)² - 1 9 16 (a) Find the center, vertices, foci,…

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Q: In the indefinite Integral Sin(cosh x + ex)- A In(cosh x + e*) B sinh x + ex C In(cosh x + e*)- sinh…

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Q: efv. Evaluate dx Use rationalizing substitution. A B 8 √e² - 2 - 2√2 Arctan — √e² - 2 + C e³ − 2 −…

A: Let's evaluate given integral by using rationalizing substitution.

Q: dx 2 X - 25

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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: Solve the integral: Seln(2x² + 3x −4)³ (4x + 3)dx eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) A + C…

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Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and…

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

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Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and g(x) =…

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Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line…

A: We can find the area as below.

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

A: The functions are f(x)=x2+1 and g(x)=-x2+2x+5

Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

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Q: Find the area bounded by the curves y=sinx, y=cosx between x=0 and x=π/2. PLEASE INCLUDE HOW TO GET…

A: To find out the area bounded by the curves.

Q: (os(t) 2 = Ste S₁ canned with CamScanner cos(+ sin(t)) dt

A: F = 12π∫02πecost·cosπ3+sintdtThis is a complex integrand, hence numerical technique is used. F =…

Q: d^3-5d+4)y=0 when, x=0, y=-2, dy=9, d^2y=0

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Q: If a horizontal element is used to find the area bounded by y=√√√x, x=4 and the x-axis, the limits…

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Q: Find Ə2z ?хду of z = x3 + 5x² y + 6

A: The objective of the question is evaluate the partial derivative .

Q: y = x²sin (3x)

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

A: The volume of the solid is 63π unit3

Q: 25

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Q: Which of the following is a third degree partial differential equation? 3 дz J2z A др (В D др2 дz др…

A: given data  to find the degree of the partial differential equation

Q: e integral be 'solvable' using trigonometric substitution. What is the correct choice of u given J…

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Q: The improper integral +∞ [+00 0 ex dx is

A: Our Aim is to evaluate the improper integral given below:-∫0∞e-x dx -(i)

Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

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Q: Evaluate the given definite integral [ 2x³ – 6x² dx, from x = 1 to x = 2 X²

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Q: How many antiderivatives does a function of the form f(x)=x" have when n*0? A may vary depending on…

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

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Q: Determine the area bounded by f(x) = x² — X and x-axis. 1 A -unit² B -unit² Ⓒunit² 2 Ⓒ -unit² 1

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Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

A: We have to solve a part 1 and part 2.

Q: tan (3x) lim x→0 sin (2x)

A: Given query is to find the limit of the expression.

Q: C) (-∞,1]

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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: 2. S(-18z +36)( - 2z - 4) dz

A: We need to evaluate the following integral ∫-18z+36-2z-4dz Formula Used: ∫zndz = zn+1n+1+C

Q: B/A block of ice in the shape of a right circular cone is melting in such a way that both its height…

A: rate of change of volume of cone

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: To find the work done.  Option D is correct.

Q: We can apply General Power Formula of Integration on which of the following integrals? A / fes…

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Q: Evaluate each of the following line integrals. cy²sin³x √1+ cos²x ds where C: y = sin x going from…

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Q: 1. Find the area of the region that lies inside the cardioid r = 1+ sin and outside the circle r =…

A: We need to find area.

Q: y = 3 Arcsec 3x

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Q: Find the area bounded by : f (x)=e*, g(x)=ex and x=3. (e²+ 1)² A sq. units e2 B (e³ + 1)² e3 sq.…

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Q: 6. Find a²z дгу of z = In(xy)

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