Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the ry- plane.

Q: 2 t √3u Evaluate the integral: №³4 524 4²2 ds du dt s²+u²

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Q: If the total cost function is given by TC=300+5q+(3)/(q2), what is the marginal cost when q=3?

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Q: Evaluate: ƒ³, ƒ²₁ √√₁²[z³(x + y)³] dz dy dx -3

A: Given :∫-33∫-12∫01z3x+y3dzdydx

Q: v (2uv²-3) du + (3u²v² − 3 + 4v)dv = 0 Ov(u²v² +3u + 2v) = c Ov(u²v² - 3u- 2v) = c Ov(u²v² - 3u+ 2v)…

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Q: The sum of A. 0.432 2m (m²+32)1.5 B. 0.342 C. 0.423 D. 0.32

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Q: ع لح ل(۸ + ")APNPLPLg للع(۸

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Q: Evaluate the integral: t² ls teu du ds dt

A: Let's evaluate given triple integral.  There is no need to draw the graph.

Q: 4. Evaluate the double integral: Y SZ (Hint: Change the order of integration to dy dx.) dx dy. +1…

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Q: Show that (x+2)² = ln(x + 2) - x+2 + C.

A: Topic = Integration

Q: The value of A.cos(x²+)+C cos (x² + + C fx sin (x²+3) de dx B. - cos (x² + 5) + C D. -cos (x²+)+C

A: Option (B)

Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: Evaluate: ₁ [2³(x + y)³] dz dy dx

A: Please see the answer below.

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: 2 (xy + x) dx = (x²y² + x² + y² + 1) dy Oln(x² + 1) = y² – 2y — 4ln|c(y + 1)| O In (x² + 1) = y² +…

A: We have to solve given differential equation.

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√s s4

A: A detailed solution is given below.

Q: Solve the differential equation dx 4x+6y+5 - dy 3y+2x+4

A: Concept: The general form of non-homogeneous differential equation  dydx=a1x+b1y+c1a2x+b2y+c2 Check…

Q: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given

Q: f(x)=2x+1(3x-1)

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Q: The value of sin cos (x²+)+C C. cos (x²+)+C xp B. -cos (x²+)+C D. -cos (x²+)+C

A: Topic = Integration Correct option = B

Q: te: 2² £²,₁ ₁° (4x² yz – # ) dz dy dx -

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Q: Evaluate: ³₂(4x²y - 2³) dz dy dx

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Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: To find the characteristics of a Integral domain.

Q: ¹₁¹+x² x + 2y dy dx -12x²

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Q: 2 (x² - y²) ² Evaluate: ³₁² L 21 x+y du dt

A: We have to find value of given double integration.

Q: What is the component form of the vector with an initial point of (-2, 5) and a terminal point of…

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Q: Find the area of the region bounded by the curves y= (x+8)2 y = 4 and the x-axis using vertical…

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Q: 6. The value of A. sin ¹¹x + √1 + x² + C B. sin-¹ x - √1 + x² +C C. sin-¹ x + √√1- x² +C D. sin…

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Q: 1. Evaluate the assigned limit using L'Hopital's Rule. lim [cos (2x)]¹/(*-*) 2--

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Q: 3x(xy - 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.

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Q: Evaluate: (4x²yz - ) dz dy dx

A: Let,    I  =∫23∫-14∫10 (4x2yz - z44) dz dy dx           I = ∫23∫-14[∫10 (4x2yz - z44) dz] dy dxI=…

Q: The derivative of sec2 2x(cos2x−sin2x) with respect to x is

A: Given: f(x)=sec2 2x(cos2x−sin2x)   Simplify the function before finding the derivative: By  the…

Q: Find the particular solution of the DE y11 + 24y = 0 subject to the initial conditions y(0) = 2 and…

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Q: (x + 2)" Q4. Find the convergence interval and radius of the series : Σ (-1)**² n=l n

A: We need to find interval and radius of convergence.

Q: 3 -1 0 2 2 х -у 2 x+y 2 dx dy

A: Given

Q: Evaluate the limit using L'Hôpital's Rule. 11x³ lim x-0 sin(x) = x (Use symbols and fractions where…

A: Givenlimx→ 011x3sinx-x

Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: ./ which expression best to describe 31% ? (a) Just under a half (b) A tiny fraction (c) Nearly a…

A: Given data÷

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: Evaluate the following √ (2²2 + + 6x − 1)²(x + 3)dx (x²+6x-1)-5 + C 2 (x²+6x-1)-5 3 +C (x²+6x - 1)5…

A: We have to solve given integration.

Q: Find the point on the line y = 7x closest to the point (1, 0). (Use symbolic notation and fractions…

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Q: For f(x) = √ √2-4 4- ™ Of is not continuous at x = 4 Of is continuous at a Of is continuous at a 5…

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Q: What is the equation of the tangent line to the curve y = at point (0,0)? O none of the choices O y…

A: Tangent line

Q: xy' + (x +1) y xe sin 2x

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Q: Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis and…

A: Given problem is :

Q: Q2 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j + 7k.…

A: Solution is here

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Given that      Region R : 0≤x≤1 , 0≤y≤1-x2 , 0≤z≤4-x2+y2    Now, we take…

Q: If the total cost function is given by TC = 300+5g+then the marginal cost function MC = Ⓒa. 5g + / 3…

A: We have to solve the given 2 question.

Q: (1 + y²)dx + (x²y + y + 2xy)dy = 0 Ox+2y² (1+x)² = c O 2x+y2(1+y)2= O 2x+y?(1+x)2=c y² x)² Ox+y²…

A: Solving by seperation of variables