3. Use triple integrals in spherical coordinates to find the volume of the solid bounded above by the cone x² + y² = 3z², below by the xy-plane, and on the sides by the sphere 2.² + y² + ² = 9.

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A: According to guidelines i solve first 3 subpart, so kindly request you to repost the remaining…

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Q: Let T = (Tm) be a tensor of the type and order suggested by the Indices. Prove that S=(T) = (T) is a…

A: Given:  Tj1 j2  ... jqi1 i2  ... ip=Ts1s2 . . . sqr1r2  . . . rp∂xi1∂xr1∂xi2∂xr2 . . .…

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Q: 7. Find A if eAr 2e²¹-e¹ e²1_e¹ e²1-e¹ 2e²¹-e¹ e¹-e²¹ e¹ - e²t 2021 201 20²1 201 201 20²1

A: Find derivative w.r.t. t Put t=0 We get required matrix A

Q: Fill in the table. Show your work and keep answers exact. Degrees 140° Radians 31 5

A: Since you have posted mltiple questions, we will solve the first question for you. If you want any…

Q: FIND THE VERTEX USING X=-B/2A, THEN USE TABLE OF VALUES AND FIND 4 OTHER POINTS FOR A PARABOLA…

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Q: 2. Convert the integral 16-x² 3-y ["* [X1²77²* f*³** (x² + y²) dz dydz 4x-x² to an equivalent…

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Q: 05q+6 = 0⇒> Similarly €6q+7 = Ω-(g) lim Ω(7q+7)n+6a+7 818 a6q+7 Πο Ω_(q+1)t-q +1 =0 t=0 (₁ 1 = 0⇒> -…

A: Given: The Information that leads to the required proof.We need to prove the equations marked in…

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Q: Use Green's Theorem to evaluate e f. F. dr, where F(x, y) = (- 8zy, y² - 6) and C is the rectangle…

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Q: Q7A. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b},…

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Q: Problem #1 The City Council proposed to utilize government-owned land with an area of 9,600 square…

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Q: Differential equations method: method variation a) y" - 7y' = −3 b) y" - 4y' + 3y = e 1 +6

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Q: Q3B. Consider the following graph: b a c and d a and e b and d c and f C e and f a and b d and f b…

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Q: Find the closure of each of the following sets: (a) (3,5) U {6} (b) (-∞, 0) U (0, 1)

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A: To find the level curves of the given gradient field, for high, medium and low values.

Q: b a d

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A: We will going to use cylindrical coordinates system to find mass of the solid bounded .  We need use…

Q: 3. Prove that √12 is irrational using the Fundamental Theorem of Arithmetic.

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Q: 6. State if the following function is even or odd algebraically f(x) = 3x5 + x³-7x

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Q: Given the graph of the parabola (0, 3) 2 0 (0.5, 0) I (1,-1) = 1 2 (1.5, 0) (2,3) Find the…

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Q: Find the vertex of the parabola that is the graph of the given quadratic function of x. (Give the…

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A: Light travels 186283 miles per second. We have to find the value in feet per hour.

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Q: Prove that for all integers n ≥ 8 that n = 3a + 5b for some a, b = Z+

A: We will use mathematical induction( inductive reasoning)  to prove the result.

Q: 11. 12. Solve for the unknown variable using a method of your choice. a) 16(x-1)=645x b) 11* = 493…

A: We will make the bases same and then will compare the exponents

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Q: Use the PBH test to prove or disapprove that, for any a E R, the controllability of (A, B) implies…

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Q: Evaluate the iterated triple integral using cylindrical coordinates 4-r²-y² √3 √4-1² 4-x²-y² fer: dz…

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Q: 2.5 Given the set of vectors B=(p= (1, -2,1),u =(-1,2,-1),w= (-6,12,-6)) The dimension of the span…

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

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Q: Let G = U(32) First Let H= (1, 15). Show that H forms a subgroup of G. Show also that H is normal.…

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Q: Pinverse aplace in of S 25²-1 1 (5² +49) ²

A: We have to find the inverse Laplace transform of the functions s2s2-1 and 1s2+492.

Q: Solve the system 2 -3 Y' = = Give your solution in real form. y₁ (t) Y₂(t) = 3 2 = Y with Y(0) = -2…

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