(1) ₁³ 1 x² + y² + z² dV, where E lines between the spheres x² + y² + x² = 25 and Evaluate x² + y² + ₂²: = 49 in the first octant.

Q: 3. The equation of a circle centered at (1,1) with radius 4. a) x? + y? + 2x + 2y – 2 = 0 b) x2 + y?…

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Q: Q2. Let a2 – 1 = y4 + y? be given. Test the equation for symmetries (a) about the x-axis, (b)…

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Q: a.) √ 1 csc² x+sec² x cosx-cos³x - dx

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Q: 2. Suppose ALXry) = 2xy-ix"y. Find D.A

A: We have to find out ∇.A

Q: - check the exi's tence of limol of the Lunetiom 41n at X= 1 %3D 2X+/ こ Xラ-3

A: To check: The existence of the limit of the function. Given: The function is fx=2x+1     -1≤x≤1x22-3…

Q: Evaluate the double integral 1+ 4x² + 43²&A where D is the bottom half of the circle x? + y? = 16.…

A: In polar coordinates,                                   and

Q: HW If r(H)=6 sin zt ċ+ 6cas ztj + 5tk find T,Ñ, V, a and speed at t-2

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Q: Find y, of+ 3+2y 14x2 + 42x + 6 d'y dx a.) y, = 7x2-4 b.) y, = 7x2 + x-5 c.) yp 7x2-x- 3 d.) y, =…

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Q: 9.) Use spherical coordinates to evaluate 3/2 (x² + y² +2²) ³¹² dydzdx. 9-1² √√9-1²-₂² √√√9-x²-2²

A: To find the given integral using spherical co-ordinate system :-

Q: Let the circles C, :x + y = 9 and C2 : (x – 3) + (y – 4) = 16, intersect at the points X and Y.…

A: Sketch as per the conditions given:

Q: 5. plot x?-y?=z (Elliptic paraboloid) in 3D.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Evaluate 1 x² + y² + z² between the spheres x² + y² + 2² = 9 and x² + y² + z² = 36 in the first…

A: x=rsin⁡θcos⁡ϕ, y=rsin⁡θsin⁡ϕ, z=rcos⁡θFor the region E, 3≤r≤6, 0≤θ≤π/2,…

Q: dx =?

A: Given: ∫x2-1xdx

Q: Numerically integrate y=x-X+4 from a-0 to b= 2 using single segment trapezoidal rule. O 12 0 8 0 6 O…

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Q: Find SS₁² z dV, where E is the solid tetrahedron with vertices (0,0,0), (6,0,0), (0,1,0), and…

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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: c.) 3 (1+1) dy = 2ry (y" – 1) dz d.) (z+1) +(* +2) y = 2ze e.) 2y dy - (3y cot z+ sin z cos z) d

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2- is the D.E:(3x² + y cosx )dx + ( sinx-4y )dy = 0 | a- - Exact b- linear D.E (show that)

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Q: 3. Graph the circle a) (x – 3)2 + (y + 2)² = 16 b) x² + (y – 1)² = 4 c) (x + 8)² + (y – 1)² = 9 d)…

A: Follow next step

Q: az If z? = y sin(xy), find ду at the point (-1, ", 1) a) - 0.5 b) +1 c) - 2 d) -- 1 f) 1 e) 0 g)…

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Q: at the one-dimensional and n are constants.

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Q: 18. Evaluate L (s² + 1)²

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Q: Find dyldx for the following equation: 2x+ y -9y+9=0. A) dy dx 2-2y В) dy dx 9-2y 2 C) dy dx 9-у 1…

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Q: 1. Classify the equations below according to the type : * i) Uxx- 2uxy – 2uy = 0 O hyperbolic O…

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