Let the characteristic equation of a 3 X 3 Matrix A be X3 + ad² + 47) – eigenvalue of A is 4 and a is an integer value, then what is the smallest eigenvalue of A? 60 = 0 if one

Q: -4-y Evaluate triple integral , S dz dy dx .

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Q: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

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Q: Q: find area inside r=2cose and outside r = 1?

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Q: Evaluate the following integral using Trigonometric Substitutions Method: 2. y = 1- x dx

A: Here to solve the given integral, we can use trigonometric substitution  x=sin2t

Q: Venn Diagram WEEK I After going through this module, you are expected to: 1. Solve problems…

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Q: 5. Find the radius of convergence for (a) (b) Č (1 +) n2 + 5n + 3i" z" (c) an 2n + 1 n-0

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Q: 1.5 3-y 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: 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: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

A: Given distribution function is  F(x) = 0ifx&lt;1k(x-1)4if1&lt;x&lt;31ifx&gt;3

Q: o Find area inside r=2cos6 out Side

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

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Q: Question Completion Status: Moving to the next question prevents changes to this answer. Question 9…

A: Volume bounded by the xy-plane

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

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Q: xi = 2x1 – 5x2 x2 = 4x1 – 2x2 X1 (0) %3D 2, х2(0) — 3 2х1

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Q: A sure event 0.5 0.01 0.1 0.75 0.25 1

A: We know that P(x) = favorable outcome / totel outcomes

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 dy dx using polar coordinate

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Q: What is the equation of the normal to the curve x^2 + y^2 = 25 at (4,3)? 5x+3y=0 3x-4y-D0 3x+4y=D0…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: Find area inside r=2eos6 out side

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Q: Solve. y" + 16y = u6(t). y(0) = y'(0) = 0 S f(t) for t 6 The solution can be written as y(t) Find…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x2 ,y = 4.

A: Volume bounded by xy-plane

Q: office.com received an $8000 invoice dated April 10. Terms were 2/10, 1/15, n/60. On April 14,…

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Q: Use the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

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

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Q: +xy = xj + TP Solue D. E %3D

A: Given differential equation is Bernoulli's differential equation.

Q: Match the following improper integral with the improper integral below in which you can compare…

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

A: We will use given graph and table to find values . Note : According to guidelines maximum 3 subpart…

Q: 9. Determine all maximizers and minimizers of the function 1 f(x1, x2, 13) = af + x3 + x subject to…

A: determine all maximizers and minimizers of the function fx1 , x2 , x3=1x12+x22+x32…

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

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Q: -11 -5] A = 30 14 The eigenvalues are (Enter your answers as a comma separated list. The list you…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = -2cos0 in second…

A: Solution

Q: 50 (s² + 15s + 2) 25s2 + 202s + 25

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

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Q: (b) The diagr cubic fune it passes t

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Q: 5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x ,y 4.

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Q: Consider the solid bounded by the planes: z=x+y, z=12, x=0, y=0. Determine the volume of the solid.…

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Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

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Q: Three coins are tossed, what is the probability of showing 2 tails and one head?

A: Solution:   SAMPLE SPACE IS :H-H-HT-H-HH-T-HH-H-TT-H-TT-T-HH-T-TT-T-T

Q: divergent? (1+x)-3=1-3x+6x2-10x3........ explain your answer

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Q: Find the Maclaurin series for f(x) and use it to approximate the integral 1+ x3 correct to 4 decimal…

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A: Given ,point : P1, 4, 5and plane : 2x+4y + z = 0 We know that equation of the plane parallel to…

Q: Give an example of each of the following: • A function f e L²(T) and a point where f(x) does not…

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Q: 1 (i) Find the unit vector having the same direction as B – 2A+÷C. (ii) Draw the vector you obtained…

A: We have given three vectors A, B and C .

Q: Use a power series to solve the differential equation (1+x²)y" – 4 x y + 6y = 0

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