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A: To solve the given double integral.
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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…
A: Washer method
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A: The given function whose integral is to be found is called the integrand.
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A: Use the chain rule of differentiation and then solve . As per the bartleby guidelines I am allowed…
Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…
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Q: Suppose that it + [[ f(x, y)dA - 26 and ₂⁹(2, 3)dA R R (A) The value of [kf(x, y) + g(x, y)]dA is […
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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 improper integral A B if the 0 1 0 e dx is
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Q: Evaluate: L{cos(3+2t)} s cos3+2sin3 A s² +4 S (B (s+3)² - 4 S (s+3)² +4 s cos32sin3 s² +4 (c) (D)
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Q: Find the area bounded by : f(x)=e*, g(x)=e¯* and x=3. A (e²+ 1)² e² sq. units B (e³+ 1)² e3 (e³-1)²…
A: Given that,
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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: S Given dx, determine all value/values of P for which the improper inte хр A (-∞,1] B {0,1} C…
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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…
A: Definite integral Property : ∫ab fx±gx dx = ∫ab f(x) dx ± ∫ab g(x) dx. ∫ab k f(x)dx =k∫abf(x)dx ;…
Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and the x-axis.…
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Q: Solve the integral: √√ 3√x dx x²
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Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx (3e)3+cosh2x A +C 2 + 2ln3 (3e)3+cosh2x 2ln3…
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Q: Solve for the area of the region bounded by x² = 4y + 4 and x = y = 2 (A) none of the choices 128 B…
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Q: Find the area bounded by : f (x)=e*, g(x)=e* and x=3. A (e²-1)² e2 sq. units B (e³+ 1)² e3 sq. units…
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Q: dx using miscellaneous substitution will yield to secx + 1 Transforming 1+z² Ⓒ √ 1 + 2/²/d= (A) -dz…
A: First of all, note that sec x=tan2x2+11-tan2x2⇒sec x+1=tan2x2+11-tan2x2+1⇒sec…
Q: To reduce the DE (x+2y-4)dx-(2x+y-5)dy=0 to a DE with homogeneous coefficients, use the…
A: solution:-x+2y-4dx-2x+y-5dy=0dydx=x+2y-42x+y-5the system of linear equation…
Q: Compute the Fourier sine series for the given function f. a) f(x) = x², 0<x< π
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Q: In the indefinite Integral in(cosh x + ex)- In(cosh x + e*) sinh x tex In(cosh x + e*)- cosh x + ex…
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Q: S dx Evaluate: (x+1) log(x+1) 1 A ¹-In 10 log² (x + 1) + C 2 B In 10 In[log(x+1)] + C 1 C…
A: We will evaluate the given integral using simple Integration rules.
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: √__(x+1) dx (x+2)(x-1)² 1 9 3 2 0-11/11 - 01/17 9 3 2 3 1 2 9 3 -io 1 9 - = 1[ A B + x+2 x-1 + C…
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Q: y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x
A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other…
Q: 26. (2xy2-3x²)dx + (x² + 2y)dy = 0 A. Exact B. Not Exact
A: As, the student has posted multiple questions but we can solve one question at a time according to…
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: y = 3Arcsin (2x³) -- Arccos(2x³)
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Q: If f(x) = A B D tanx S™ 0 1+tan²x 1+etanx sec ³x l+etanx In (secx)√1+tan²x 1+etanx sec²x tanx 1+12…
A: Using the Leibnitz rule:
Q: dx Transforming S using miscellaneous substitu secx + 1 A S²= 2-2z² -dz 1+z² 1+z² B 1-z² 1-z² © √ 1…
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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…
A: Given that , fx=x2+1 and gx=-x2+2x+5 find the volume of solid generated by revolving the region…
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: Find the area bounded by x² = 4y + 4 and x = y - 2. Using vertical element, what is the integral…
A: The area bounded by the curves x2=4y+4 & x=y-2 is:
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: . The implicit solution for the differential equation y' = x³y is A. In x = y² + c B. 3 lnx = y² + c…
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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…
A: Here we have to find the integral
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: √²/pdx. хр (1,00) B {0,1} C) (-∞0,00) D (-∞,1] Given (Α dx, determine all value/values of P for…
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Q: fx(2x + 5)³ dx
A: Integral
Q: 6. Find the area enclosed by the curve x² + 8y + 16 = 0 the x-axis, the y- axis and the x-4 = 0…
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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: 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: S 1 Solve the integral: √√√X = n/1+x²³²|+c A C {/in/1+x²³ | +c B © 6n/5+x²³²|+c C in/1+x³| +c D X +…
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Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. cos y A =C sin x sinx cosy…
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Q: x²+3x-7 X-2 +5x+31n|x-2|+C + +In|3x-6|+C 2 x²+5x+In/3x-6|+C x² + 5x + n/x-21 +C 2 3 In Evaluate the…
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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…
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