Question: Using Principal Component Analysis (PCA) method, find and plot the principal axes for the following samples: D={(0,4),(1,3),(2,2),(2,5),(3,4),(4,6)}

Q: Find y as a function of t if 64y" + 144y' + 106y = 0, y(0) = 8, y' (0) = 3. y =

A: Given DE is  64y''+144y'+106y=0.....(1) Initial conditions are  y(0)=8,y'(0)=3......(2)

Q: Jenelle bought a home for $350,000, paying 18% as a down payment, and financing the rest at 6% inter...

A: Given that Total amount of home is $350000 down payment is 18% So down payment is 350000×18100=$6300...

Q: 3-11 A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Ex...

A: We are only allowed to solve one question at a time so we will answer only the first question. Pleas...

Q: (2) The volume of a closed cylindrical can is V. Find the ratio of height to radius that will minimi...

A: Introduction: A cylinder is a solid figure. Its top and bottom are circular. When a cylinder is clos...

Q: Let f(x) = x° + 6.4x. We will use the interval bisection method to find an approximate solution to f...

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Q: -5-0 using Iterative fixed-point method by 2. Find one root of f(x) x+ choosing initial value as -2 ...

A: Given that fx=x3+4x2-5=0 To use iterative fixed point method to find one of the root of the above fu...

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: Activity 2: Find the derivative of each of the following functions: a. f(u) = (4u + 5)(7u² – 2u) 3s-...

A: Since  you have posted a multi subparts question according to guildlines I will solve first  three q...

Q: Biologists stocked a lake with 250 fish and estimated the carrying capacity (maximum pop- ulation fo...

A: 1st we will find a differential equation for number of fish in the lake and then solve it to find ex...

Q: 3-11 A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Ex...

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Q: Which of the following is a measure of dispersion? Standard Deviation Mean Median Correlation Count

A: To identify the which of the given is used for measure of dispersion.

Q: . Do the following lines (below) intersect? If so, find the point of intersection and the cosine of ...

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Q: Find the volume of the solid obtained by rotating the given curves about the specified axis.

A: Introduction: The formula of washer method to find the volume of the solid is given by, V=π∫abR2-r2d...

Q: Type your answer in the following order and format: a=0,b=4. DO NOT include spaces in between charac...

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Q: 2. Use the definition of uniform continuity to show that any Lipschitz function f on E is uni- forml...

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Q: Find a root of the function f(x) = 2x – sec(x-3) + 1 near x = 4.5 using any open method (3 decimal p...

A: To find the root of the below function near x=4.5. fx=2x−secx−3+1

Q: Let A = {1, 6, 9, 10} and B = {5, 9, 10}. Indicate if each statement is true or false. 8 E A|Select ...

A: A={1, 6, 9, 10}B={5, 9, 10}

Q: 4) Give all the values of a > 0, ß>0 so that the following matrix ominant. In thesc cases the Gauss ...

A: The problem is related to matrix. In the matrix strictly diagonally dominant matric to be defined an...

Q: On each chord of 9x? + 16y? = 144 perpendicular to the x-axis is erected an isosceles right triangle...

A: Given: A chord is drawn perpendicular to the x-axis on the ellipse 9x2+16y2=144 with the ends of the...

Q: 2. Compute the line integral of E from B(0,0,0) to A(2,1,3) if E = -4xyax - (4y + 2x2)a, + 8zaz. Use...

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Q: 2) (No graphing calculator should be needed here). Let P be the region in the first quadrant bounded...

A: Volume about x=-4

Q: F(x, y,z)= (4xyz) î + (-2xz+2yz) ĵ -3y² z k , find VxF

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Q: 1. Solve the following LP using the dual simplex method. At each iteration, choose the most negative...

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Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be selec...

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Q: Use the method of variation of parameters to find a particular solution of the following differentia...

A:

Q: he following DE

A: Given,         y''+3y'+2y=ex, y(0)=1, y'(0)=0

Q: A force of 7 pounds compresses a 15-inch spring a total of 3 inches. How much work is done in compre...

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Q: 106° a° 112° 212 56; 124 Points A, B, and D lie on OC. MLACB = 40. mAB < 13. mAB 40 14. MLADB 20 16....

A: We have the theorem which states that The angle subtended by an arc at the centre is double the angl...

Q: Find an equation of the tangent line to the graph of y=x at the point where x=e. ... The equation of...

A: We are given that f(x) = xx and x ​= e.

Q: 5. Evaluate | 3 ( cos 45°+ isin 45°) using De Moivre's Theorem.

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Q: Was absent and missed lesson. Confused with this problem. thank you. xy"+y'-y=0 a. show the given di...

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Q: r = 5 +4 cos 0 3. Draw and determine the area bounded by the curve in polar coordinates

A: We have to find the area bounded by the polar curve r = 5 + 4cos(theta)..

Q: Let f(x) = x° +6.4x. We will use the interval bisection method to find an approximate solution to f(...

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Q: Find the inverse Laplace transform of 720/(s-5)^7.

A: using know results of inverse Laplace transform.

Q: If Ax = ax for nxn matrix A, nx1 matrix x, and a E R, determine a scalar 3 with the property that A2...

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Q: Find the number of proper subsets for the following set: L {x | x is a letter found in the word assa...

A: We have to find the number of proper subsets.

Q: Question 1 State the order and linearity of the following differential equations i) cos(x²y) y" + 5x...

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Q: (a) For each of the cost coefficients c;, 1 < j < 4, find the range of values for Ac, for which the ...

A: According to guidelines I can solve only 1 questions 

Q: Perform the following equation using PEMDAS shown in the image. Write your answer together with its ...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: . Show that a complete integral of the equation f(ôu / ôx, ôu / ôy,ðu 1 az) = 0 is u = ax + by + 0(a...

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Q: dy -1+2, dx xx (a) Solve the homogeneous differential equation (b) Determine whether the following d...

A: (a) The given differential equation is :                                dydx = 1+yx+y2x2     ..........

Q: Consider the differential equation: 3y(7) 8y(®) x3 x4 f(r) By reducing the order of the equation, th...

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Q: PLEASE HELP WITH QUESTION 5 & 6 Find the critical point of each of the non homogeneous linear syste...

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Q: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2+64)^3 O (1024 - 48s...

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Q: (c) Find the value of the constant a, for which, the following function f(x) is continuous V1+ax V1–...

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Q: Given that X is a normal variable whose distribution has a mean of 10 and a standard deviation of 2....

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Q: Consider the power series (2x + 3)" 2n² + n – 1 n=1

A: To find: The radius of convergence of given power series.  The rule for finding the radius of conver...

Q: šhów thát, for n>U_multiplication of multipličátión óf nxn rotation matrices is generally not commul...

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Q: 3) Find the volume of the of the solid that results when the region endosed by the curves y = x, y= ...

A: Since you have posted multiple questions and we can answer one question. So, answered first question...

Q: Imagine you have some workers and some handheld computers that you can use to take inventory at a wa...

A: