12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

Q: Consider the sphere x2 + y2 + z? = 4. In cylindrical coordinates this sphere can be expressed as r2…

A: Given Sphere is x2+y2+z2=4 Explanation of sphere in cylindrical and spherical coordinates

Q: 15. Consider a box with dimensions 3 cm × 5 cm × 11 cm. If all of its dimensions are increased by x…

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Q: r(t) = (x(t), y(t), z(t)) where = - 4t? – 5t – 3 æ(t) - 5t2 + 5t + 3 y(t) = - 5t? z(t) : || Since…

A: Given a curve, rt=xt,yt,zt, where,  xt=-4t2-5t-3yt=5t2+5t+3zt=-5t2 Curvature of a curve rt, κ is…

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: Solve the given differential equation. All solutions should be found. (6y5+2x¹y) dx = (5xy² + x³) dy…

A: We have to find Solution of given differential equation (6y5 + 2x4y)dx - (5xy4 + x5) dy = 0

Q: (学) j+: lj=0

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Q: Find an equation of the tangent line to y = f(x) when r = 2. The slope of the tangent line is f'(2)…

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Q: Find the solution of the given initial value problem. cos t y' - 10 t y = Y(T) = 0, t> 0 t-10¹ y(t)…

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Q: Exercise 1: Let X be any set and consider the set of all functions S = {f: X → R}. Notice we can add…

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Q: Could someone explain to me how to graph : y=-1/2 cos(pi/4 * x) -7/2 what is the domain and range

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Q: Find the volume of the solid bounded by the paraboloids z = - 5 + 2x? + 2y² and | = 6 – æ² – y?

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Q: Problem 4 from Section 4.1: "Let, A, B, C be sets. Write the following in “if... then" format and…

A: The sets A, B, and C are given. We have to prove that (a) x∈B is a sufficient condition for x∈A∪B.…

Q: 4. mRP = R 68

A: Here, Q is the inscribed angle.

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: LThe article: "Motion Sickness in Public Road transport: the 8- Effect of Driver, Route and Vehicle"…

A: Given: Observed frequency Oi   Nausea no nausea total Front 58 870 928 Middle 166 1163 1329…

Q: Express in its most simpliflied form

A: We have to simplify the given term that is    (27m)2/3    =  (27)2/3 m2/3    =  ( 33 )2/3  m2/3    =…

Q: r(t) = (x(t), y(t), z(t)) where = -2t? + 3t + 3 æ(t) y(t) = 2t – 2 = 2t? + 5t = - z(t) || Since all…

A: Given vector rt=xt, yt, zt where xt=-2t2+3t+3yt=2t-2zt=2t2+5t We need to find the binormal vector Bt

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 2, t > 0 t² 7 Y 17 60…

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Q: I[ Tv° dz dy = x dx dy = y? x dx y dy

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Q: 5. MZLNM = M 108

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Q: r(t) = (x(t), y(t), z(t)) where ¤(t) = y(t) z(t) = – 5t? – 4t2 – 5t – 3 5t? + 5t + 3 Since all…

A: We are given that r(t)=x(t),y(t),z(t) where x(t)=-4t2-5t-3, y(t)=5t2+5t+3, and z(t)=-5t2. Now, we…

Q: 2. Sketch a graph of the set of points which satisfy the following conditions. The coordinate…

A: In rectangular co-ordinate system:x= 2, is a yz-plane passing through x= 2.

Q: (5 points) A multiple choice test has nine questions, each of which has four possible answer…

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Q: I am unsure how to simplify this expression

A: Simplifying the given expression:

Q: 67. Explain what is wrong with the following statements. Use complete sentences. If there is a 60%…

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Q: r(t) : (x(t), y(t), z(t)) where x(t) = – 2t + 3t + 3 y(t) = 2t – 2 z(t) = 2t2 + 5t Since all…

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Q: r(t) = (x(t), y(t), z(t)) where æ(t) = – 2t + 3t + 3 y(t) = 2t – 2 2t2 + 5t z(t): Since all…

A: Given that rt→=xt,yt,zt where, xt=−2t2+3t+3yt=2t−2zt=2t2+5t And also given r'''t=0,0,0 (a) We have…

Q: question

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Q: lution of the given initial value problem in explicit form. 1 y' = (1 - 3x) y², y(0) = 8 2 -2-2x-16

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Q: 9. (~Ch16 Review #13) Find the work done by the conservative vector field F(x, y) = along the curve…

A: given a conservative vector field  Fx,y=4x3y2-2xy3,2x4y-3x2y2+4y3 and a curve  rt=t+sinπt,2t+cosπt…

Q: Simplify 0a)+(-3a*+ 5a2 – 12a) 4. (9at- 3a²+ 10a)+(-3a+ 5a2 - 12a) За?

A: Simplify