Calculate x dy dz + y dz dx + z dx dy where is formed by the upper part of the sphere x² + y? + z2 = 9 and the plane z=0

Q: Consider the 3 x 3 matrix A and the vector & e R³ given below 0 1 0 1 0 1 0 1 0 1 A = i = Prove that…

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Q: Question 5. Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: To find a 4×4 matrix A with non zero entries only such that 3 eigenvectors coming from a single…

Q: X – 1 is to be se ethod. If the ini en the absolute ation is

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Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (v2,0). What is its…

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Q: Let the characteristic equation of a 3 X 3 Matrix A be X3 + aX? + 47A eigenvalue of A is 4 and a is…

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Q: A. Let p(x) = 2x + 5x-3,m(x) = 2x- 1,and h(x) = Find: 1. (m-p)(x) 2. p(5)+ m(3)-h(1) +1 %3D x-2 3.…

A: A Given px=2x2+5x−3, mx=2x−1and hx=x+1x−2. 1 We have to find the m−px.…

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x? ,y = 4.

A: Volume of the solid (V) =∫∫∫dxdydxGiven solid bounded by z=0, z=4-x, x=y2 and x=4 Limits of…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: We have to find Distance.

Q: Q3) Evaluate triple integral , dz dy dx.

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Q: Problem 2. Forward elimination changes Ar=6 to a row reduced Rx = d. Suppose that the complete…

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Q: Pe/ Use fixed-point method to ind the real root of equation 3. X°=6X_4 on the interval Co,)). put Xo…

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Q: Find the values of a and b for the curve r'y+ay =b if the point (1,1) is on its graph and the…

A: Let us consider the given curve y=f(x) The slope of the tangent to the given curve at point (a, b)…

Q: 3+ V9 – 4(3 – i) 21 = 3+ V4i – 3 2 How do you solve for the equation above ?

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Q: 10 x? + sin(y) = 20 x + 5 y %3D

A: Follow the steps and python script.

Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Q2) Convert the polar function r tan20 to cartesian.

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Q: g"(x) sin(x- 1) -4 13 h(x) = kr - 8x + 6, 1SIS3 -1 10 x>3 8. (2) e -1 E) Find all x value(s) on the…

A: We have to find the point of inflation

Q: 4-y2 QI) Evaluate the integral * dx dy using polar coordinate

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Q: Find plane area inside the polar functionr 2 and outside polar function r 2 sin +0) in second…

A: Area using polar coordinates is given by  A=∫∫A r dr dθwhere x=r cos θy=r sin θ

Q: Solve the following equations transformable to quadratic equations. A. 1. 1 -+-= x 11 2. 2 x+1 4 2…

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

Q: Q2: Find the integration by applying substitution method: 7 dX (X - 1)VX- 2x - 48

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 9 Y 8. 4 -1 8 4 6 6…

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Q: Q3) Find the Area bounded by the curves y² = x and x = 2y - y?.

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d²y z + 2y = 3 ,y…

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

A: We have convert the given problem into polar coordinates.

Q: Q3) Evaluate triple integral , dz dy dx.

A: Q2)

Q: Q2) Solve the D.E xy(x² + 1)dy – (y² + 1)dx = 0 %3D

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Q: A man borrowed 24000 from two money lenders. For one loan he paid 15% annum and for the other 18%…

A: Let x be the amound borrowed on 15% and (24000-x) at 18% Given taht total interest paid is Rs 4050

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r= -2cose in second…

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx 19x2 + 16 y

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Q: (1+x)-3=1-3x+6x2-10x3........ Is this series convergent or divergent? Simply explain why

A: We have to check whether given series is convergent or divergent.

Q: Q4) Find plane area inside the polar function r 2 and outside polar function r = -2cose in second…

A: Solution

Q: Q4/ solve the equation by Newton-Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy 0.001

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Q: |I+ sin? 0 2. Cos? 0 4 Sin 20 Sin?0 一t Cos 0 · 4 Sin 20 %3D Sin 20 Cos20 I tA sin 20 KIKY

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Q: 2 -1 3 -1 3 If A = and B = 2 2 -1 find: ЗА - 2В A +2 (В — А) -5 (A + 2B)

A: Given matrices are A = 2-13012  and  B = -13-12-11

Q: Suppose o, p :Z → G are homomorphisms such that q(1) = 4(1). Prove o = 4.

A: Given that                      φ,ψ : ℤ→G are two homomorphisms such that φ(1)=ψ(1). To solve the…

Q: Is the following series convergent or divergent? Explain your answer. ex= 1+x+x2/2 + x3/6.......

A: Ratio test: A series ∑n=0∞an is convergent if limn→∞ an+1an<1 and  divergent if limn→∞…

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.9 0.397…

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Q: Which represents equal sets?. O A EB and BEA O IAI-IBI O All numbers in Set A are in Set B. O MCNand…

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Q: Q4) Find plane area inside polar function r 2 and outside polar function r= -2sine in third quarter.

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Q: If A is 3 x 3 matrix such that (A + I3)² = 0 %3D Show that: A is invertible.

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) + 2y = 3 , y (0) =…

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Q10: Following are the differential equations and their respective solutions. Select the incorrect…

A: We have to check whether the given solution is solution of actual differential equation or not.

Q: Exercises: 1) Determine the eigenvalues and the corresponding eigenvectors for the following…

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Q: Find the curvature of the function y=ln(3x) at x=3x=3. Find the radius of curvature at x=3x=3.…

A: Given function is:  y = ln(3x) First we will calculate the radius of curvature : Radius of curvature…

Q: Three coins are tossed, what is the probability of the showing at least one tail? Your answer

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Q: Q1) Evaluate the integral S S dy dx using polar coordinate

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Q: 2 34 5 6 7 8 9 X (b) 9 3 716 5 2 X 4 8 (c) (abc)(cad) (d) (213)(3421)(153)

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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