Let S be the surface given by the first octant part of the paraboloid z=4-x^2-y^2. Find the area of the surface S.

Q: Under Plane Areas. Use two methods to find the area bounded by y=y=e-1, y = 2e - 1 and the y axis

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Q: ing differential equation: y" + 2y"-3y = =x+4

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Q: 1. Our team of five runners (the Water-Break Five) is in a race consisting of a total of 100…

A: Solution :-

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: 3 absolute maxima 2 absolute minima 1 Approximate the critical numbers. x=3 Need Help? -1 relative…

A: Absolute minimum occurs at two end points in the above graph namely x=1 and x=5.

Q: Find the volume of the rotating body formed by rotating the region bounded by the y=6x-x² and xx²=2x…

A: Given  The curves y=6x-x2, y=x2-2x around the line y=-2.

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Q: x²+2x-3 > 0 Ox 1 Ox> 1 O-31

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Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

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Q: 19. The equation sin a csc r A. is an identity B. has no solution C. has two solutions with the…

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Q: Find the volume generated by revolving about the y-axis, the area bounded by x² + y² = a² and x+y =…

A: To find the volume of solid which is generated by  x2+y2=a2 and x+y=a when revolved around y-axis.

Q: D. Multiple Choice 1. Given: [(4x + 3)²D² - 12(4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (In|4x + 3)],…

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Q: Q16. Consider the graph with the following vertices, edges, and weights (weights are stated as the…

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Q: Consider the vector field F(x, y, z)=-yzi + (xz+y²)j +e³k, and let C be the curve illustrated below…

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Q: a) Rewrite the given third order scalar initial value problem as y' = f(t, y), y(to) = Yo: (y')³…

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Q: Which is NOT equivalent to cos2x? 2 cos²x - 1 cos²x - sin² x 2sinxcosx 1-2 sin²x

A: We have identity  cos2x=cos2x-sin2xcos2x=1-2sin2xcos2x=2cos2x-1sin2x=2sinx cosx

Q: You have a credit card that charges an interest rate of 18.35% compounded monthly. The table below…

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Q: Determine £¹{F}. s²-2s-12 (s+3)² (s+6) Click here to view the table of Laplace transforms. Click…

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Q: (7) Determine the upward flux of V x F through the part of the elliptical cone C = {(x, y, z)2 =…

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Q: if y = (1/3)x, which of the following indicates all possible values of y?   a. y>0   b. y≥1…

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Q: 9. Given the bases B = {1+2t, 2+t} and C = {1-t, 2-3t) of P₁. Find the change of coordinates matrix…

A: As per the question we are given two different bases B, C of same polynomial space {1, t} And we…

Q: Question 4: Consider the function (kt+1) = kt+1, where St = S(rt+1) = S(r(kt+1)). St Differentiate…

A: Given- Consider the function Ωkt+1 ≡ kt+1st, where st = srt+1 = srkt+1.  To find- Differentiate the…

Q: Let U and V be subspaces of R". a) Show that UnV = {veR": 7 € U and 7 € V} is a subspace of Rn. b)…

A: As per the question we are given two subspaces U, V of the vectsor space R3 And we have to : Show…

Q: Which transformation has been applied to the following change? from : y = x² to: y = 3(1-x² − 1)…

A: We havey=x^2 to : y=3(1/2x^2-1) We also write it as , Y=3/2x^-3 The transformation of g(x) of a…

Q: Which of the following values of angles is a solution to the following equation: (√3 tanz-3) (80 (8…

A: Sol:- 3tanx-38cosx+8=0Solving each part separately3tanx-3=0  or   8cosx+8=03tanx-3=0tanx=3x=π3+πn

Q: Let G be a group and let a e G have order pk for some prime p, where k ≥ 1. Prove that if there is x…

A: As per the policy, we are solving first question. Please repost it and specify which question is to…

Q: Problem #4: Suppose that an = a₁x² + 2a₂x³ +3a3x4 + 4a4x³ + .….. as 1 . We can write the expression…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Q2:al Use separation of variables to find the solution of the following Initial Value Problems.…

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Q: Solve the equation using Laplace transform y" - 6y' +9y t²e³t, y(0) = 2, y'(0) = 6. =

A: Introduction: There are many different ways that are applied to solve an initial value problem. One…

Q: Convert the following linear equation into a system of first order equation of the form y' = P(t)y +…

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Q: Q21A. In what order are the vertices visited in a breadth-first search of the tree below? (Enter…

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Q: • tan a = 2√√6, a € [0, π] 3 cos 3 = 5' Find the numerical value of the following: and sin 3 <0 1)…

A: We will use trigonometric identity . While using values of trigonometric ratio we need to take plus…

Q: llowing: [Ln(3+j5)]sin(-2-j)

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Q: 5). Write the first-order differential equation in standard form. (Use yp for y'.) −xy' = (8x + 7)y…

A: To find- Write the first-order differential equation in standard form. -xy' = 8x + 7y + xex…

Q: Compute cos(4x) -∞ (x²+2x+2)' dx.

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Q: APPORTIONMENT (COMPUTATION) 1. What leisure activities do you participate in? In the table below,…

A: Given- In the table below, there are five activities and the approximate number of participants (in…

Q: Which of the following expressions is NOT equivalent to sin75°? sin45° + sin30° O sin45°cos30° +…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

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Q: 9- The circle a² + (y-2a)²-4a² is rotated about the line y--1 where a > 0. A torus is obtained from…

A: Given- The circle x2 + y - 2a2 = 4a2 is rotated about the line y = -1 where a &gt; 0. A torus is…

Q: Problem 6. Let A and B be invertible n x n matrices such that det A = 2 and det B = 3. Then equals…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: For the following statements, state if the are true or false. If they are true, prove them. If they…

A: To Prove\disprove: (a) Let f:ℝ→ℝ be differentiable and one-one then, f is either increasing or…

Q: t 34.h(t) = +3¹-1, 6] t+3'

A: A function f(x) has a global maxima at x=c if the value of the function f(c) is greater than all…

Q: Meadow Company wants to invest its net profits of $81,000 for 8 years in either a credit union or a…

A: Hint: The formula of compound interest compounded monthly is, CI=P(1+r12)12t-P, where P is the…

Q: 3 Find the exponential equation whose graph passes through the points (-2, 16 y = -) and (3,192)

A: We have to find the exponential equation of graph.

Q: Find the location of the center of mass of the 2 dimensional planar lamina whose shape is the…

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Q: Find a general solution of the system x'(t) = Ax(t) for the given matrix A. A = -12 51 -3 12

A: Use the given information.

Q: Find the angle between the vectors. u = (4, 2, 0), V = = (-2, 4, 5) 0 = Need Help? radians Read It…

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