10 Σ (3n – 1): 125 n=1 10 Σ–1 (3) -1, 125 Σ (3n – 4): 125 10 Ο Σ(3n – 4): 125 Ο Ο O e Θ

Q: Evaluate the triple integral: 3 ₂2 0 (x+y+z)dydxdz

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

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Q: 1 3 x + x Solve the integral: S 6 ® ni.s.c A) 1+ x + C 6in|5+x²|+C B © h1+xel+c c) C Fin/1+ o D + x…

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Q: y = x Arccsc (+)

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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: wen 1₁² / 0x хо A) (-∞0,00) B (1,00) C{0,1} D) (-∞,1] -dx, determine all value/values of P for which…

A: Here  , we have two cases when p=1 and when p not equal to 1.

Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

Q: Given S dx, determine all value/values of for which the improper integral XP converges? (A) {0,1} B…

A: Please follow the next step.

Q: In the indefinite Integral fin(cosh x + e*). sinh x tex cosh x + ex B) In(cosh x + e*) In(cosh x +…

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Q: Evaluating ³√9-x² dx using trigonometric substitution will lead to: 15/2 A cos²0d0 B 18 cos²0d0…

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Q: tanx If f (x) = A (В) (ⒸC) D - St 0 sec 3x 1+ e tanx In (secx) √ 1+tan ²x 1+ e tanx sec²x 1+elanx…

A: Finding the derivative of the integral

Q: π Evaluate the integral: sin(3x)cos(3x)dx 11/13 B (c) D 1/1/00 H|m

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Q: dy Reduce the linear DE (2xy + x²+x¹) dx = (1+x²) dy=0 to standard form dx (A) +y dy dx -2x 1+x² =x²…

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

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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 represents the volume of the solid generated by revolving the region bounded…

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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+…

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Q: The improper integral A e B C) O D 1 if the 0 ∞ ex dx is

A: Solve the integration  From 0 to ♾️ for the integrand e-x.

Q: Determine the derivative of the following algebraic and non-algebraic functions. 1. f(x) = sinx +…

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Q: Which of the following can be determined O [ars) A (4f(x) + 9h(x) dx B [²³(f(x) + g(x) (f(x) + g(x)…

A: We have to find out

Q: Determine which of the given differentials is/are exact. In case it is exact, find the functions of…

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Q: Which integral below gives the volume of the solid of revolution obtained by rotating the bounded…

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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: 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: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1 A unit2 B unit² unit² Ⓒ /…

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Q: fx(2x + 5)³ dx

A: Integral

Q: Given [₁₂f(x) dx = 0 and A 0 B Ⓒ D √ √ ² f(x) dx = ²1 55 11 11 5 11 6 " •√²3f(x) dx - √₁2f(x) dx.…

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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+…

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

A:

Q: Which of the following can be determined given Ⓒx-d A (x) - )-g(x))dx (B S (4f(x) +9h(x))dx g(x)dx…

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Q: iven ·S. A (-∞0,00) B) {0,1} Ⓒ(1,00) D) (-∞,1] dx, determine all value/values of P for which the…

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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: That statement "We can use the General Power Formula of Integration for indefinite integrals…

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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: 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: Find the area bounded by : f(x)=e*, g(x)=e*, A) (e²-1)² e² sq. units B (e²+ 1)² e² (C) (e³-1)2 e3 D)…

A: In the given problem we have to find out area of region bounded by given curve with the help of…

Q: Determine the integral: x²cosxdx x²sinx + 2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C с…

A: Here we have to determine the given integral.

Q: √√ Solve the integral: √√x A (В 33√x² +C Ⓒ 3√/x² +6 +C D 6√√x +C √√x dx x²

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Q: 1 11 Given 1 [²_f(x) dx = 0 and [ f(x) dx = 1 1 ₁ ¹3f(x) dx - 2f(x)dx. evaluate 6 0 -1 55 A 6 11 B 5…

A: A detailed solution is given below.

Q: (D) 1

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Q: Evaluate each of the following line integrals. Sc [(x² - y2)dx + (2xz)dy + (xy-yz)dz] where C: x =…

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Q: 2x-1 a. √ (2x + 1) e ¹-¹ dx

A: The given integral is ∫2x+1e2x-1 dx We solve the integral using integral by parts formula. From…

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

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

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Q: Let f(x)=√√√3x-2 on the interval √[²/3, ¹1] y=1 and y-axis about the y-axis and find the volume of…

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Q: X+2 Determine the case of the following proper rational function after simplification: (x² - 4)(x³ -…

A: The given expression is:…

Q: Find the volume of R using shell method, when R is bounded by y = √x - 2, y = 0 and x = 4 about the…

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Q: A B (C) D dx -2 (2x + 1)² (241) 2 2 (2x + 1)² ex - ln( 2x + 1) 8

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Q: Determine the area bounded by f(x)=x²-x and x-axis. 2 A 3/3/14 unit² ® 1/1/¹4 B unit² 1 (C) unit² D…

A: The area bounded by fx=x2-x and x-axis