ixi + (2 – i)r2 = 4 – 3i (1+ i)x1 – 12 =-3 - i

Q: Determine the value of k such that the system of linear equation has no solution. x + 2y + kz = 6 Зх…

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Q: (5a?y? - xy? + 17y2) dæ (a³y + 2a?y + 9xy + 18y) dy = 0 Solve -

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Q: II. Consider the function g defined by 1 g(1, y) = cos (7I)+ log3(x – y) Do as indicated. 1.…

A: Directional derivative of a function g(x,y,) in the direction of unit vector  u^=a,b  where ∇g=gx,gy…

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations х —…

A: We have to solve given Questions

Q: Fit a straight line y = ax +b to the following data 3 8. y 3. 21 4.

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Q: Which óf thé fóllówing directión fiéld will represent the differential equation y' = y + 1 Option 1…

A: Direction field: A graphical representation of solutions of a first order differential equation is…

Q: Are the following series conditionally convergent, ab- solutely convergent, or divergent? Show all…

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Q: V = R' = {(x.y)|x, y e R}, with standard operation of addition on R² which is (x,.y,)+(x,, y2) = (x1…

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Q: The 12th roots of a complex number would have arguments that differ from each other by __?__…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: As per the guidelines i am solving first question. 1. Consider the given curves, y=x2, x=3 and y=0.…

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx/T) + log3(r – y)* Do as indicated. 1.…

A: Given data The function g defined by g(x,y)=cosπxy+1log3x-y

Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 11C, + C, = -27830.1 C1 - C3 = 1035 6C1 – 6C3 - C4 = 3348 C3 - Cs = 2025 9C3 + C4 – 9C5 – C6 = 12150

A: To Solve for C1, C3, C4, C5, & C6.

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) 4r + 2y + z %3D subject to…

A: The given function is f(x,y,z)=4x+2y+z     andConstraint g(x,y,z) = x2+y+z2-1 The Lagrange…

Q: Measure of minor arc SH= _____?

A: This is a problem related to circle. Let us find the measure of the minor arc SH in the next steps.

Q: b) d²y + 5y = 2t, given that y = 0 and = 1 when t = 0 dt dy %3D dt2

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Q: 3. A farmer has 1,200 meter of fencing and wants to fence off a rectangular field that borders a…

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Q: (ii) Show that for Joel to save $ 10 000 after 5 years, he must earn interest at a rater determined…

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Q: ZD=32°, v=15, d=18

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: II. Consider the function g defined by 1 g(x, y) = cos (TLV) + logg(r – y)" Do as indicated. g 1.…

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Determine a definite integral that represents the area of the region enclosed by r = 7 sin 0 . de…

A: Given:                     r = 7sinθ

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations x –…

A: Here we can use following formula  AB→=B-A Angle between two vectors a→ and b→ is…

Q: 1. Fit a straight line y = ax + b to the following data 1 3 8. y 3.

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Q: Clarify that f :R → R defined by f (x)= 1 is uniformly continuous. 1+x?

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Q: 19. Find the general solution of the system of differential equations (2)-( )(:) Sketch the phase…

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Q: Find the all the roots of f (2) = 522 – jllz – 2. For this question, whenever permitted by the…

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Q: Show that the integral equation TT g(x) = 1 (sin x sin 2t) g(t) dt has no eigenvalue

A: Solution:-

Q: Let C be the curve represented by the equations 5t, y = t, (0 < t< 1). In each part, evaluate the…

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Q: Find the value of d. 3.

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) 4x+ 2y + z %3D subject to a…

A: To solve: Maximize fx,y,z=4x+2y+zSubject to x2+y+z2=1By using lagrange multiplier.

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Consider the given surface, y=x2+z2 Distance of the point 0,c,0 to the surface will be,…

Q: How many degrees apart are the roots of (-2+j)i from each other? O none of the choices O 90 45 30 65

A: Solution:-

Q: Evaluate the surface integral ff, F · dS for the given vector field F and the oriented surface S. In…

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Q: a) The shaded area enclosed by the curve y = x? - 4 and the x-axis is rotated around the x-axis to…

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Q: Which of the following differential equation has the same order and degree? A. +8+ 5y = e*…

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Q: completing the proof. Example 2.1.1 Let 2 = R, ar - F(x) by O You are sharing your entire screen.…

A: We will use the basic knowledge of real analysis, in particular, the convergence of sequences, to…

Q: Solve for x when x– 3A + 2B = 0 -4 01 1 21 A = = 1 -5 and B =-2 1 -3 21 4 4] --14 7 -14 -4 4 7 -17…

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Q: Solve the following system of differential equations. dx 6х + Зу — 82 dt dy 2y dt dz = x – 3z dt

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Q: if was Fife(R)R² Lanearidentifier Teatbxt€ X)= ca,ogb rand father o kert @ EmT

A: We have to find the (1) KerT and (2) ImT

Q: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

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Q: Find the Fourier series for: 1 f(x) if – n<x< 0 if 0 < x < n -1,

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Q: 目 Our aim is to write gcd(200,113) as linear combination of 200 and 113. Below is the table related…

A: Correct option is none of the mentioned

Q: 3. A student wishes to estimate the area of a garden. He measures the width of the garden at regular…

A: We have to use Simpson 13  rd  rule here  ∫abfxdx≈Δx3​fx0+4fx1+2fx2+4fx3+2fx4+⋯+2fxn-2+4fxn-1+fxn…

Q: Verify the Divergence Theorem by evaluating F.N ds as a surface integral and as a triple integral.…

A: Solution:-

Q: PART IV v IF N= 3A"-(2B+c') find the value of the following s n21 425 s nu 29 32 26 33 27

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Q: Let V R°, the vector space over R of dimension 3. (a) Give an example of a subspace of V. (b) Write…

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Q: Solve (x-j2y) + (y-j3x) = 2+ j3

A: