Let A be a n x n real matrix. If the rank A =n find the following: (a) Col A (b) Nul A (c) nullity A

Q: 2. Elen Serug needs P70,000 to repair her roof. Find the face value of the note that will provide…

A: To find- Elen Serug needs P70,000 to repair her roof. Find the face value of the note that will…

Q: Find the relative maximum / minimum values of the function S(x)- *-2 x+2 State where the function is…

A: Disclaimer: As we are currently not providing any hand-written solution, therefore, the solution to…

Q: Solve Y"' – 6Y" + 11Y – 6 = 0 -

A: Given differential equation is Y''' - 6Y' + 11Y - 6 = 0

Q: a) By using integration by parts, find the integral Inx dx. b) Hence, find In Vx dx.

A: We have to apply the integration by parts.

Q: (c) Prove that L{Cost Si(t)- Sint Ci(t)} Logs s +1 %D

A: The complete solution is in given below

Q: 16. t cos 4t 18. cos2 2t

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: dv 18, 000 – 0. 150? dt 3000 – 6t and solve this numerically using Euler's method in MATLAB with the…

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Q: G14. Draw two 'different' graphs with five vertices and degrees {1, 2, 2, 2, 3).

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Q: Find the Laplace Transform of the following functions 4) f(t) =t sinh(at) 5) f(t)=2te' 6) f(t) = e"…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Q1. Solve the following first order equations: (a) (r²y² + 1)dx + 2x²dy = 0, use the substitution ry…

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Q: Q4. (a) Show that the substitution r= e' reduces the equation ar'y" + bry' + cy = g(x) to an…

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Q: (a) Find a functionf such that F = Vƒ and (b) use part (a) to evaluate ſ F•dr along the given curve…

A: Here f is potential function of F .1st we will find f by using integration and then will use…

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A: Introduction: Suppose, there are n different objects. Out of the total number of objects, r objects…

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A: When 10 people are arranged in a circular way. This is also the number of ways that 10 people can be…

Q: 5. Use the given Taylor Series Expansion on Cosine and Sine function cos I 1 2! 4! 6! E(-1)" (2n)!…

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Q: G13. Construct the graph for the adjacency list: a: f, g, i, j b: g, J f: a, i, j g: a, b i: a, f J:…

A: Use the given adjacency list and construct the required graph.

Q: en that yi = -3x²e-, y2 = 7r are solutions of a linear homogeneous equation a constant coefficients,…

A: Fundamental set of solutions

Q: (c ) Find the S(sin q + cotq – e5q+1 + q5) dq 11 2x+5 (d)Using the method of Partial fractions find…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A O (A)° = A – int A…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the Legendre symbol (55|179) using only the definition and multiplicative and mod p…

A: We need to evaluate Legendre symbol , 55179 We know that , Quadratic reciprocity law ,  If p and q…

Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

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Q: L[af(t)+ Bg(t)] = aL[f(t)] + BL[g(t)].

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Q: QUESTION 2 The two triangles below are similar. Determine the value of x on the larger triangle.…

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Q: Find the value of x, y and z using Gaussian Elimination Method: ax + y + z = 1 x + ay + z = 1 x…

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Q: You deposit $13,000 in an account that pays 5.5% interest compounded quarterly. A. Find the future…

A: We have to find the future value.

Q: Find the volume of the region lying above the cone o = and below the sphere p = 7. (Use symbolic…

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Q: How many factors does the number 223.048.980 have?

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Q: Find the maximum and minimum values of f(x, y) = 4x + y on the ellipse a² + 36y² = 1 %3D maximum…

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Q: Let f(n) = n and g(n) = log2 n. Show that g E 0(f) but ƒ ¢ 0(g). %3D

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Q: Determine the surface area of f(x,y) = 2+ (2/3)x^(3/2) + (2/3)y^(3/2) over the region R, a triangle…

A: If we look x varies from 0 to 2  y varies from 0 to 2

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -8, 4), and the plane given by…

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Q: Determine a root from the given function using Secant method with the terminating condition Ea…

A: In secant method for a function f(x) if x0 and x1 are initial approximation of root for f(x)=0 then…

Q: Iigure oblain by removing sque 12 12 ce each square so that the bottom left corner is at (0, 0) and…

A: Introduction: The centre of mass of a body or system of particles is defined as the point at which…

Q: r3 Consider the function f(x) whose graph is a parabola with a hole in it. Give the equation of this…

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Q: farking scheme: marks for illustration and or show of analysis marks for correct solution that leads…

A: In this question, concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: Apri al) Consider the following differential equation, with time domain t e (0, 1): Sy = (t² – 1)y,…

A: Given the differential equation dydt=t2-1y,     with  y0=1 By using Heun's method given that…

Q: urchased a new washer and dryer for $1,310.66 (including sales tax ar full purchase price and the…

A: Given, the cost of a new washer and dryer is given. The loan was given for 10 months. The cost of…

Q: 2. Let 3nr? + cos nr In (r): %3D (a) Find the pointwise limit of (gn) on R. (b) Is the convergence…

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Q: Find the general solution of each differential equation, and when initial conditions are given, the…

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

Q: H.W 1-Find a point that belongs to the curve y 2x + 12x + 2 where the tangent at this point is…

A: Given curve is y=2x2+12x+2 and a line x+3y+1=0. We have to find the a point that belongs to the…

Q: Example 7. Show that the integral equation g(x) = 1 (sin x sin 2t) g(t) dt has no eigenvalues.

A: We have to show that the integral equation gx=λ∫0πsinxsin2tgtdt has no eigenvalues. We can write…

Q: Marcus receives an inheritance of $10,000. He decides to invest this money in a 14-year certificate…

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Q: For all u and v in R" with u + 0, show that u is orthogonal to v – u•v

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Q: Find the centroid of the quarter circle x + y Ix| assuming the density ő(x, y) = 1. (Use symbolic…

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Q: Out(4) G3. List the set of vertices for the graph above:

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Q: 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

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Q: USC Tolx)=1 and Ticx) = X to find %3D Te (X)and T3(X)

A: Given that, T0x=1 and T1x=x. It is known that, x2=12T0+T2 and x3=143T1+T3. Obtain the value of T2x.…

Q: 1. a) Define a fractal. b) Use the definition and defining nature of a fractal to create your own…

A: a) Definition: A fractal is "a rough or fragmented geometric shape that can be split into parts,…

Q: 2, and t = 3k – 2, find an expression for y = f(k). b) Express y as a function of k if y = 2x + 5

A: In the given question, the function yx is solved for yk. Given, yx=3x-2xt=3t+2tk=3k-2

Q: Solve the following first order equations: (c) ydr = (ye" – 2x)dy. %3D

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