54. Look for the volume of the solid produced by rotating the region enclosed by 1792# T y - x² = -3,x+y = 3 =-5| about y = -

Q: Ja 2s + 2 (s² + 1)(s - 1)³ ds

A: Given :∫2s+2(s2+1)(s-1)3ds

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A: Given problem:-

Q: 5. I. Evaluate each determinant. -2 -1 4 2

A: Finding the value of determinant

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Q: what substitution formula is used here ?

A: the substitution formula used here is-

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Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Evaluate the double integral: r2 Y To 0 √y¹/3 x7 +1 (Hint: Change the order of integration to dy…

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Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: VII. - ) Let C be the curve consisting of the line segment from (0,0) to (2,0), the the portion of…

A: Given that a curve consisting a line segment from (0,0) to (2,0) and a portion of circle from (2,0)…

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefined. -3 -6 -2 +69 4 -4 6

A:

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Q: क्ने Find the curl of F(x, y, 2) = (2x,3y, 52). depends on the point (x, y, z) ● 10 O

A: Let's find curl.

Q: Let f(x, y) = 10-3r² +4. (a) Find the gradient Vƒ(2,-3) of f at the point P(2,−3). (b) Find the…

A:

Q: -2 4.5×10 kg a. T= 2π 2.0×10³ kg/ s b. K = -(6.6×10² kg) (2.11×10¹ m/s)² = 2 -9.0×10 N·m²…

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Q: Question 2 A. B. A system of linear equations is given below. 2x + y + 2z = 1 x + 4z = 2 y = 2z = 1…

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Q: n Express the function n, lim 21³ n→+∞ n5 i=1 and then find the limit. in closed form

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Q: th each graph with its equation of a. r= cos(20) b. r = cos(40) c. r = sin(40) d. r = cos(50) e. r =…

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Q: The given integral is equal to cos 3t dt 5 + 3 sin 3t O (1/3) In 15 + 3 sin 3t| + C O (1/9) In 15 +…

A: To find out the integration.

Q: no working required just final ans

A: To solve the following problem

Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We state Divergence Theorem and explain it.

Q: into a conver the Following differential equation Perfect equation and then find general Solution…

A: Given

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A: follow next step

Q: Let F(x) = - [² 2 √t dt. Find F" (2).

A:

Q: (1² +21) dx dt = = 2x + 2 (t, x > 0), x(1) = 1

A: Given that: (t2 +2t) dx/dt  = 2x+2 ; x(1)=1. Find the solution of this initial value problem.   Here…

Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3x²+5x+6 X *+3 25x²-9

A: Please refer to the image below

Q: The equation P=25sin(2πt)+90P models the blood pressure, P, where tt represents time in seconds.…

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Q: Evaluate the integral. 37 (x - 1)(x² + +36) dx

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Q: 6.) I. Simplify. Write "undefined" for expressions that are undefin -3 -6 -2 6 619 1 4 -4 -4

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Q: This triple integral represents the volume of a cylinder. O True O False 2π V = f²f²f² r dz dr de

A:

Q: Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) x-1+…

A: We have to find value of given Limit.

Q: Question 16 This equation represents what? O a sphere an ellipsoid O a paraboloid O a double cone x²…

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Q: Find all the values of x such that the given series would converge. ∑_(n=1)^infinity((−1)^n x^n…

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Q: If s(t) = 6t³ - 9t² - 36t+6, where t≥ 0 represent the position of a particle traveling along a…

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Q: Use integration by parts to evaluate the integral. 9x Saxe dx dx = S4x ex

A:

Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

Q: Consider the position function s(t)= - 16t+96t representing the position of an object moving…

A: Given problem:- Consider the position function s(t) = - 16t2 + 96t representing the position of an…

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Given

Q: Find all solutions of the equation 2 sin² x - COS X = 1 in the interval [0, 2π) with x₁ < x2 < x3.…

A: The given equation is: 2sin2x-cosx=1 To find the solution in the interval [0,2π).

Q: Question 9 This triple integral represents the volume of a cylinder. O True O False V = f²" f² fr dz…

A:

Q: Evaluate csc(π/6)   Enter the exact answer.

A: Solution ) csc(π/6)  Angle in first quadrant  We know that  Sin x = 1/ csc x  x = π/6 Sin (π/6)  =…

Q: Find the volume of the solid that lies under the paraboloid z = 7² - x² - y² and above region R =…

A:

Q: The given definite integral is equal to x3 dx Jo x + 1 O 1.23 O 0.43 O 0.18 O 1.42 Onone of the…

A: The given integral:∫01x3x+1We need to evaluate the definite integral.

Q: 8x²-x+8 x(x² + 4) 2 lnx + 6 in (x²+4)-4 Arctan ¹ (1) + C Option 1 4 Inx+6 In (x²+4)- Arctan (+C…

A: topic -indefinite integral

Q: 1. I. Evaluate each determinant. -5 -3 3 -4

A: Given,            -5-33-4

Q: A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is…

A: Let's solve all given questions.

Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

A:

Q: USING DISC METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

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