-5 Secondary Topic 4. Compute 1 dr

Q: Find the area of the region shared by the cardiods r=12(1+cosθ) and r=12(1-cosθ)

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Q: Prove: If x, y, z are integers with x2 + y? = z², then either x or y (or both) is even. Hint: Do a…

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Q: Question 1 Let: p: You study hard. q: You eat your Wheaties. r: You fail the exam. What is the…

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Q: Let P, Q, and R be statements. Which of the following logical equivalence is False? P=Q = ¬P=¬Q P=Q…

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Q: let f [od]R begiven fa show whethe the %3D functionis PointConVelgentand Vegular ConVorgent

A: Given :  fn : [0, 1] →ℝ  defined by ;                      fnx = nx1+nx To find : We have to check…

Q: Convert 487 to base 5.

A: The quinary number system uses 5 as the base. Any number in the quinary system can be represented…

Q: 7 1*11 X2 --2 -4 7 8. |-9 |-4 10 -6 12 9 -12||X3 -11] Lx4 9. -5 8 -12 -8 -3. ||

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Q: Find the arc length Lof the graph of r(t). r(t) = t i + t j+ Vor k, 3 <t < 4

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Q: 1. In this problem, you will prove the following Theorem: r E C if and only if there exists a…

A: (a.) To prove: x∈Ci if and only if xi∈0,2. (b.) To prove: x∈C if and only if there exists a ternary…

Q: X-0+ lim (sinx)tanx X0+ 4.

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Q: sin 3t 4. f(t)

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Q: Use Stokes' theorem to evaluate curl(F) · ds. F(x, y, z) = exYi + ej + xzk, Sis the half of the…

A: Given: F(x,y,z)=e4xy i+exz j+x2z k The half of ellipsoid 8x2+y2+8z2=8 To find:  ∫S∫curl(F). dS Use…

Q: Use a Maclaurin series derived in class to obtain the Maclaurin series for the given function. (a)…

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Q: (vi) If A is a 2 x 5 matrix and B is an 5 x 2 matrix then AB+ BA is... (a) a 2 x 2 matrix (b) a 5 x…

A: We have to find AB+BA when A is a 2×5 matrix and B is a 5×2 matrix.

Q: Con Sider the in itial volue problem: X = 2x, +3xz+5e? X,(O)=1 X =3x,+2xz=6e“ x,(6)=-2 131 %3D find…

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Q: Sketch y =-x3* (you may need to use index laws). 3.

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Q: (a) The plane y+ =9 intersects the cylinder x+y- 25 in an ellipse, Find parametric equations for the…

A: Given that the plane y+z=9 intersect the cylinder x2+y2=25 in an ellipse.

Q: (1 2 3 The matrix A = 4 5 6 may be written as S + T, where S is a symmetric matrix and T is a 7 8 9…

A: Use the given matrix.

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the T curve C : x = 10 cos t, y = 20 sin…

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Q: Please help: Why is the Leibniz test (Alternating series test) inappropriate for the given series?…

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Q: 3) 2) f(x) = ex at a = 2

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Q: 19 Suppose that Ts Cx) centered at 2 for f (x) is gicn by Ts Ca):345Ca-2)+5 Cx-2)?ょ2x-2)+(x-2) Than,…

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Q: 1. Let P(x1, Y1) be a point on the parabola x?: be the angle between the parabola and the line…

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Q: Find two nonzero matrices A and B such that AB= 0

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Q: f (x) = {(4 – x) Interval: -4 < x < 4} |

A: A Fourier series is a means of describing a periodic function as the sum of sine and cosine…

Q: 10. True or False: If A, BE M, are nonsingular matrices, then A-+ B- is nonsingular. (a) True (b)…

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Q: Consider the differential equation (x + y)dx - xdy=0 with the initial condition that y=1 when x = 1.…

A: The fourth order Runge-Kutta (RK-4) method uses the formulas below to perform the iterations and to…

Q: 34+34 + 3% + 3y = 에 + 3y =D 이 2 dx dx dx

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Q: Consider the differential equation (x+y)dx- xdy3D0 with the initial condition that y=1 when x = 1.…

A: We first calculate fourth order  runge kutta method next week calculate order of differential…

Q: Soluing liner differentil equations dy +2xy=2X 3.

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Q: Find the derivative us ing the defini tion O fx). %3D

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Q: TOPIC: Z-TRANSFORM Solve: yn+1 – 3yn = 4n with y0 = 0. SHOW THE SOLUTIONS

A: Solution otlf the intial value problem using Z-tramsform

Q: d³ y 3 dx3 d²y dy + 3– dx² + 3- + 3y = 0 dx y = C1e¯* + C2etx + C3e¬ix y = Ce-* + (C2 + C3x)e¬ix O…

A: Solution

Q: Find a Taylor series expansion around x = 1 for f (x) : %3D Input the values of the highlighted…

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Q: The table below has indicated per unit profit at the upper right hand corner of each cell. Find the…

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Q: 1. (x² + y²)dx – xydy = 0 %3D 4 dy

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Q: 3 -1 2 4 Vị and v3 1 1 4 Use the Gram-Schmidt procedure to produce an orthogonal set with the same…

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Q: (vii) The eigenvalues of A = are...

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Q: n + n² 2.

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Q: An integer n is divisible by k e Z when there exists another integer m satisfying n = Integers that…

A: Given is a definition of a factor and a perfect number.   To Prove: (a) At least one perfect number…

Q: Linear transformation. (a) Let L: R3 → R³ be given by (E)- x + y + z L 3x 2у + 2 2z i. Prove that L…

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Q: y" + 4y = 3 csc²(2t)

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Q: A code with minimum Hamming distance of 20 can correct up to errors and detect up to errors. а. 19;B…

A: Solution :-

Q: 9. Suppose F:R³ → R has many derivatives. Explain how to use a shooting method to approximate a…

A: Given,F:R3→R has many derivatives.Boundary value problem is -u"(x)=F(x,u(x),u'(x))     ;…

Q: j sin 125 cos 11 1. Simplify 47T . Express answer in rectangular form. 47 +j sin cos

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Q: Find the product of the following matrices, if possible. 4 1 7 5 0 - 9 -2 - 3 6 - 7

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Q: What must a be equal to such that the following equation is true? 1 a log10(3) log; (100) 2log3(10)

A: We have, log103-1log3100=a2log310 ⇒log103-1log3102=a2log310 ⇒log103-12log310=a2log310…

Q: 2) x = -3X,+ X2 ~12t X = - 4x+ 2X, + (2t X6)=o,メ2(o) =6 Xz(0) =6 こ0)

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Q: For the next three questions, consider what integer values of a, b and c would satisfy the following…

A: Here given equation ∑x=1k-13x-12-∑x=1k-23x-12=ak2+bk+c ......(1)

Q: Use your knowledge of transformations to sketch y =1-e.

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