Question 7 In evaluating 4 2 dx X√√x²-4 s-¹(f(x)). Determine the value of f(x) if x=0.35 is same as evaluating lim cos c+2+

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Q: Evaluate the integral: e3+ cosh2x33+ cosh2xsinh2x dx

A: We know that integration of ex is ex + c .     Here i attached the solution of this question.

Q: 25

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Q: Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b] th then A True B False [ f(x)dxz…

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Q: xdx (x+122

A: The objective of the question is evaluate the indefinite integral.

Q: Q3/Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

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Q: Question 18 Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+…

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Q: IV. INDETERMINATE FORMS Show if the following limits produce an indeterminate form. Then, evaluate…

A: The objective is to evaluate the limit.

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Q: Which of the following is homogenous of smallest degree? (A) In x - In y B x+y x-y C √x-y x² + y4 X…

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Q: Which of the following can be determined given 3 3 3 [ f(x) dx = 5₁ g(x)dx=7, and 1 [n(x) dx = -5 ₂3…

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Q: Which of the following is NOT a method for finding volume of solids of revolution? (A) shell method…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Determine the general parametric solution of the following unsolved differential equations for the…

A: See the details solution in below

Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

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: The reverse order of fo Say હરે e² dxdy is equal to e-1 8e None of them

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

A: Volume

Q: The general solution of the equation (D4 +D²)y= -12 is Ay=C₁ + c₂x + c3cOSX + csinx - 6x² B y=C₁ +…

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Q: dx A B C S (x+2)(x-1)² = √ [+4+2+ = -1 + (-1) 2 ]dt @ - - - - 13/12 A 9 If dx, the values of A & C…

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Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1₁ 3 A 2-unit² B -unit² с…

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Q: What kind of polar graph has the equation r = 3 ? * cardioid lemniscate circle rose petal

A: Solution: equation r=3

Q: Find the average value of the function f(x, y) = xy over the triangle with vertices (0, 0), (1,0)…

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

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Q: If g (x) = — _ _[e¹ — ln(2t+1)]dt, find g''(x) dx -2 (A) B C) D 4 et + (2x + 1)2 4 et + (2x+1)2 e* -…

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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)

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Q: f(x)=√x+1and g(x)=x²+1. 1. Find the area of the region bounded by the given curves.

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Q: Question 9 Which of the following represents the volume of the solid generated by revolving the…

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Q: If y = arcsin (e5e), Check Answer dy da

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

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Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

A: The given curves are; y=4x and y=x-32 So, the bounded region is as shown below. Apply the disk…

Q: Using Trapezoidal method √²³x² dx for n = 4 is equal to

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Q: 3. The Critical Point of y = xe-*

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Q: 4. When solving an auxiliary equation of a certain differential equation the roots m = 1 ± 2j are…

A: I am attaching image so that you understand each and every step.

Q: lim x→1 √2-x-x x-1

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A: Find out the minimum point of the function.

Q: Evaluate: L-¹{. S-2 (s+ 2)² - 49 4 Â) e-2t(cosh7t - -sinh 7t) 4 B e²t(cosh7t + sinh 7t) (C) e2t…

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: If given integrand is x² cos 2x dx and dv is equal to cos 2x dx, what is v?

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Q: Which of the following can be determined given A [²(f(x) + g(x) + h(x) dx 4 ® B √g(x) dx © (4f(x) +…

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Q: Əz 5. Givenz = y -4x ?х 6. Find of z = In(xy) a²z 7.Find of z= x³ + 5x²y + 6 əxəy Find дz

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Q: van [ f(x)dx = 5, [_o(x)dx=7, and [_n(x) dx = - -5 Which of the following can be determined given…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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: . The implicit solution for the differential equation y' = x³y is A. In x = y² + c B. 3 lnx = y² + c…

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