What kind of the polar graph has the equation r = 2 + 2 cos 0? limacon cardioid lemniscate rose/petal

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

A: We have to choose correct option

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and 1 A -unit² 3 B -unit² 3 -unit² 4 1…

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Q: Determine the integral: [x²cosxdx A x²sinx+2xcosx-2sinx + C (B) x²sinx-2xcosx + 2sinx + C…

A: On solving this we will get

Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 2+In3 +C (3e)3+cosh2x B) 2+2ln3…

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Q: Solve the integral: S- ® in/1+x A) an 1 B_5n/1+x' 5 6 1 √√√x + x + C + C c dx

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Q: 3 2 1 Evaluate the triple integral: S (x+y+z)dydxdz (A) 12 B) 18 24 (D) 6

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

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Q: aluate the integral [ sin³0cosº0d0 by trigonometric transformation, we use the identity; 1+ cos20…

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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: Question 31 Evaluate the integral: A B C D H|m 1 1 13 1|6 sin(3x)cos(3x) dx

A: To evaluate the integral.

Q: 2 Let f(x)=√3x-2 on the interval axis about the y-axis and find the volume of the resulting solid.…

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Q: √ Given A B CO f(x) dx = 0 and 11 55 6 √ √²+ f(x) dx = 1/201₁ 11 6 , evaluate √3 3f(x) dx - ₁2 f(x)…

A: To solve the integration using properties and given data.

Q: To evaluate the integral [sin³0cos 60d0 by trigonometric transformation, we use the identity:…

A: ∫sin3θcos6θdθ

Q: y = Arctan ( 2+x 1-2x

A: The derivative are

Q: Evaluate the triple integral: A) 6 B) 18 C) 24 D) 12 3 2 1 ²³√ [²√ √ 0 (x+y+z)dydxdz

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Q: Evaluate the improper integral 3 -2 X -dx

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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: integral sin ³0cos Odt sin20 2 sin²0 = 1 - cos²0 1+ cos20 cos²0= 2 1- cos20 (D) sin²0= 2 To evaluate…

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Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx 3+ (3e)3 + cosh2x A + C 2+2ln3 (3e)3 + sinh2x…

A: The integration are

Q: 1 √√√√√x + x S Solve the integral: 5 @ =³√√/1+ x ³²³/ + C A {m/1+x²³² |+c ==ınlı 5 6 B C ©…

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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: (x+1)dx (x+2)(x-1)² 1 / S If B -√2-1 + + *(x-1)2 ]dx. +2 dx, the values of A & C respectively are:

A: We can solve this as follows:

Q: Determine the case of the following proper rational function after simplification: x + 2…

A: We have to find out simplification

Q: Given the integral sec (x − 1) tanª (x - 1)dx, which of the following equations will be useful for…

A: Substitute sec^2u=1+tan^2u B option is correct.

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: Given the integral csc²u=cot²u+1 1+ cos2u 2 1-cos2u 2 sec²u=1+tan²u B cos²u=- sec (x-1) tan4…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: dx secx + 1 Transforming S Ⓒ 1 +²2² A 1-z² (В) / z²+z 1-z² 2-2z² © 1+z² -z² Ⓒ S 1=32/2/dz D 1+z² -dz…

A: Solve using miscellaneous substitution

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

A: Volume

Q: What is the integral of the shaded region? * 8(y)-f(y)dy A. OA OB Oc OD B. İf(y) - g(y)dy a C. f(x)…

A: To find out the correct answer.

Q: Which of the following can be determined given Ⓒ [² (4f(x) + 9h(x)) dx 3 ® √²³((x) + B © ²(f(x) -…

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Q: V = 8TT². Which is the correct expression for dV dr dh 16ПР- dt dt dV dr = 16Tr dt dt dV = dt dV dr…

A: Topic:- application of derivatives

Q: The improper integral A B if the 0 1 0 e dx is

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Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² − 4 = 0, using a vertical element.…

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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: Given g is a differentiable function and range of g is on the interval I and  F is antiderivative of…

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

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Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + ex)- sinh x tex A cosh x + ex sinh x…

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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: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83 (A) -unit3 125 83л (B) -unit³ 135…

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Q: Question 20 Determine the area bounded by the functions f(x) = (x + 1)³ and A unit² А 3 Ⓒunt² B 3 C…

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Q: S D dx (x+1) log(x+1) In[log(x+1)] + C Evaluate: A In 10 ® -log B log² (x + 1) + C In 10…

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Q: Transforming A B C D dx using miscellaneous substitution will yield to secx + 1 2-2z² -dz 1+z² z²+z…

A: Here, the given integral is: I=∫dxsec…

Q: X √√√3/2 x² Solve the integral: A 6√√x +C 3√√x² (B - + C 6 Ⓒ3√√√x² +C с √x (D 3 dx

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Q: If f(x) = A B C D tanx S 0 1+tan²x 1+1² Ite' -dt, then f'(x) equals 1+ e tanx In (secx)√√1+tan²x…

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Q: 19 Let u(x) = sin(x) and v(x) = x¹9 and f(x) = u'(x) = v'(x) = u'v - uv' f' 2² u(x) v(x)

A: sin(x)' = cos(x) dxndx=n.xn-1

Q: d If g(x)=- -S*[e' - In (21+1)]dt, find g(x) Se dx 4 A (2x+1)² 4 B e+ (2x + 1)² Ⓒe* -In (2x+1) 2 D…

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Q: dx using miscellaneous substitution will yield to secx + 1 Transforming Ⓒ S A 1-z² B 1+z² © √ 1 +…

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Q: Given the integral sec6 (x − 1) tan4 (x - 1)dx, which of the following equations will be useful for…

A: The given integral,       ∫sec6x-1tan4x-1dx

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

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Q: cos²u= 1+ cos2u 2

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Q: cylinder cone pyramid if this triangle is rotated about the x axis, what figure is formed?

A: