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: 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: 3. Use Use the disk method to determine the volume of the solid obtained by the revolving the region…
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Q: Using the method of variation of parameters, the form of a particular solution pof (D²+25)y=4x²-3e5x…
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Q: Question 32 dx Evaluate: (x+1) log(x+1) A) -In 10 log2 (x+1) + C 2 B --log² (x+1)+C 2 In 10…
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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: 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: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx
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Q: Compute the Fourier cosine series for the given function f. a) f(x) = π - x, 0<x<T
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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: 23/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 848
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Q: The function is x z = y² What is 8²% dy² 2/21/23
A: Let's find second partial derivative of given function.
Q: d If g(x) == _S^*[e' − In(2t+1)]dt, find g ''(x) . - dx -2 2 A (2x + 1)² 4 B (2x + 1)² 4 (2x+1)2…
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Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ A infinitely many B may…
A: We have to choose correct option
Q: The improper integral A 0 B 1 с e D 8 +∞ St 0 ex dx is
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Q: Determine the area bounded by f(x)=x2-x and x-axis. A — -unit² 2 B Ⓒ с D 16 unit² -unit² -unit²
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Q: Given A B 1 -dx, determine all value/values of P for which the improper integral converges? to…
A: Using p-test form infinite limit we know that: For a>0: If p>1 then ∫a∞1xpdx converges. Here…
Q: Initially 80 grams of radioactive substance was present. After 4 hours the mass had decreased by 6%.…
A: Let's find amount remaining after 40 hours.
Q: Evaluate the given definite integral [ 2x³ – 6x² dx, from x = 1 to x = 2 X²
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Q: Find d2y/dx2 for y2 + 2y = 2x + 1
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Q: Solve the integral: Seln(2x²+3x-4)³ (4x+3)dx eln(2x²+3x-4)³ A (2x²+3x-4) (2x²+3x+4)*(4) 3 B + C…
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Q: To evaluate the integral sin ³0cos (A) sin²0=1-cos²0 1-cos20 B sin ²0 2 sin20 sin cose 2 1+ cos20…
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Q: Which of the following is the antiderivative of the integral function: * f(xex) dx - ex + C none of…
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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: Which of the following CANNOT be solved by method of undetermined coefficients? 1 A (D²+1)y=. cos x…
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Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…
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Q: Given the domain 9 = {(1, y) | − 4 ≤ x ≤ 4, - 4 ≤ y ≤ 4}:: D the double integral of f(x, y) = 1 over…
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Q: dx Transforming - using miscellaneous substitution will yield to secx + 1 (A) S= -dz 1+z² ® √ ²²+2…
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Q: 1. x + y + xy = 21
A: We will use simple differentiation rules to solve this question.
Q: The orthogonal trajectories of the family of curves y = cx² is A x=ky² B C x²+2y²=k 2x² + y² = k
A: We have to find the
Q: y = 2 sin 3x 1+3cos2x
A: We can solve this as follows:
Q: Write TRUE or FALSE before each statement. Solve y + y = ry³. Statement 1. The integrating factor is…
A: This is a problem related to differential equation. Based on the general formula and concept we will…
Q: 1 √√√x + x² S- dx Solve the integral: 5in1+x² ² x ²³² | + c A C 5 n/₁+x²|+c B C Ⓒ 6in/5+x³ +C…
A: to evaluate the integral.
Q: Which of the following represents the volume of the solid generated by revolving the region bounded…
A: Given: fx=x-13 gx=x-1 Volume of solid generated by revolving around the region is…
Q: Evaluating (A) (B S -3 of */2 si 57/2 18 18 ofth 0 (D) 9-x² dx using trigonometric substitution will…
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Q: * The evaluation of So So x y ex² dxdy is 0.25 e - 0.5 0.25 e - 0.25 None of them
A: The objective is to evaluate the double integral.
Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…
A: To find out the integration.
Q: Lim X-0 √1+x-√1-x x
A: evaluate the limit limx→01+x-1-xx
Q: . The Minimum point of y = x3 3x+6
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Q: Determine which of the given differentials is/are exact. In case it is exact, find the functions of…
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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: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…
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Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83л A -unit 3 125 43л 135 43л 125 83л…
A: Let's find volume of resulting solid.
Q: Given the integral secº (x - 1) tan* (x − 1)dx, which of the following equations will be useful for…
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Q: lim (x-7) tan x x→2 플
A: The objective is to evaluate the limit.
Q: 1. Find the area between y = - x² + 4x and y = x² - 6x + 5. Graph and shade the area required.
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Q: Determine the area bounded by f(x)=x²-x and x-axis. 1 A unit² 2 Ⓡuni B 1 Ⓒ / unit² Ⓒ / unit² -unit²
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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…
A: If a function F is an antiderivative of the function f then F'(x) = f(x) , and ∫f(x)dx=F(x)+C for…
Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x+1. 3 A unit² 3 Ⓒunt² unit² D…
A: topic- area bounded by curves
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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