If C is given by r(t) = (cost, sint, t), 0 ≤ t≤ π, then 2 2√2 √2 None of the above Lydais y ds is

Q: Given f(x)dx = 12 and g(x)dx = -2, find the following: S₂13³f(x) + 2g(x)]dx + f(x) dx O a.) 40 O b.)…

A: ∫-25fxdx = 12∫-25gxdx = -2

Q: Q2. If x x (x z) = ( ×y) × 2, then which of the following option is correct ? < (a) andy are…

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Q: If R = {(x, y) : 0 ≤ x ≤ 1,0 ≤ y ≤ 1}, then find (²+1) +2 0 1 arctan O 2√2 3 0 √2 3 O √2 3 (√³/₂2)…

A: Please see the below picture for detailed solution.

Q: For atims (3) to (8) refer to the À = x2i + (2x"-y)j - yzk and = 3x²y + y² z? followning = X? %3D…

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Q: 1. Differentiate: y = √2 - 3x²

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: The volume of the hot-air balloon from the previous 4 3 Tr If the radius is given by 3 problem is…

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Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

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Q: C is the circumcenter of APQR. PC=3x+7, RC=5x-15, & QC=51-x R P PC=[? ] Q

A: C is the circumcenter of ∆PQR. PC=3x+7, RC=5x-15, &amp; QC=51-x

Q: If f(r, y) = 3y? - 6xy + 11a, then is given by: O 12 O 6 O -5

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Q: 4. Given f(x) = x² +9 and g(x) =-x-7, find (f+g)(x). O A. -x2 – x - 16 O B. 2? - a - 2 | O C. a? - x…

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Q: So I've √x 2 xcosy y³ dy dx

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Q: 8. Show how the Gaussian quadrature rule can be used for a [₁1(a), 5 dr-f - V ( -√² ) + ( + √(√² )…

A: Given : I=∫abf(x)dx To prove : ∫-11f(x)dx≈59f-35+89f0+59f35 To find : ∫0π2 x dx

Q: Q. 43 If a variable X-N (5, 4) and P {x - 5] > c) = 0.01, find c. Given 2.58 √√2x -1/2:² dz = 0.495…

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Q: 6. What is the domain of the equation, y = 3x2 - 4x? a. {x:x E R,x <-1} b. {x:x E R,x # 1} C. {x:x E…

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Q: Find a such that the distance from (−1, 2) to ax − y + 9 = 0 is √5 units.

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Q: √2-y² X √x² + y² dx dy

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Q: 3. Let f(x) = x² - 6. With po = Use the Secant method. a. b. C. 3 and pi Use the method of False…

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Q: 3. Fimd the exact atea of the Sure Pace curve y=V5-x 3{x55 by Yotating the our X-aris.

A: The given curve is  y=5-x  ; 3≤x≤5

Q: (V)Determine whether the equality is true or false Select one: O True O False Give your reasons…

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Q: 3 Solve dx₁ de dx2 dt = the 2x1 1 following 5x2 -cost x12x2 + sint system. a) by using the method…

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Q: if a > 2b > 0, then find the positive value of m for which y = mx-b√1 + m² is a common tangent to x²…

A: y=mx-b1+m2 is a tangent to the circle x2+y2=b2 for all values of m.If it also touches the circle…

Q: 2z -√2 = $ 2²²4 -0.231² dz, where C⇒ |z+ i = 1, CCW C Find I =

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Q: 3 let (6x)=x-2₁ g(x) = ³√x₁ hG) = x4 j(x) = 4x Express each of the function gover below as a…

A: We have to find to the composite function.

Q: axay (4.1,2.9) Q6:- If we and u= √√x² + y² by used approximate method (3)

A: w = e-uu = x2 + y2therefore, w = e-x2 + y2 ∂w2∂x∂y = ∂∂x(∂w∂y) ∂w∂y = e-x2+y2 *-yx2 + y2 ∂w∂y = -y…

Q: g(0, 0, 0) = g(-5, 4, −3) =

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Q: If g (x) = 3x² + 12x – 96 on the interval [-8, 4]: What value of C satisfies Rolle's theorem?

A: here we have to use the result of the Rolle's theorem.

Q: 5. Let y = √5r²+2+7, determine from first principles dy

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Q: Q4. f(x)=5 and 1(x)de=8 dx = 5 and f(x) dx = 8 then f(x)dx a) -3 b) -13 c) 13 d) 3 dx is given by

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Q: ke For what values of the constant k will the Second Derivative Test be inconclusive for f(x, y) at…

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