Find a unit normal vector to the surface 6x2 + 2y2 + z2 = 225 at the point P : (5, 5, 5), and determine the direction of maximum decrease of f

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A: Given differential equation used to 2nd order linear homogeneous differential equation with constant…

Q: 10.If a, b  and p are positive integers, what is the LCM of ap, bp^3 and a^2p^2 ? a.a^2bp^3 b.1…

A: LCM = Least common multiple GCD = greatest common divisor

Q: y 10 8 6 4 2 X -5 5 -24 Amazing work. Find the domain of the function. (Enter your answer using…

A: Solution :  Domain of the function is  (- ♾️ , 3] union [3, ♾️)

Q: The mean of four numbers is 71.5. If three of the numbers are 58, 76, and 88, what is the value of…

A: Here given that the mean of four numbers=71.5 the three numbers are=58,76 and 88 let the unknown…

Q: TRUE or FALSE: 1. (3141, 1592) = 1 2. The LCM of 2b and 3b^2 is 6b 3. The complete set of positive…

A: 1) (3141, 1592)=1 2) The LCM of 2band 3b2 is 6b. 3) The complete set of positive factors of 24is 1,…

Q: span0001 a. 2b+c O & [[ 2b + c b ]:b,CER} 0 Ob.{[-2b + c b ]:b.CER} 0 Oc.{[-2b-c b]:b,CER} 0 d.[[ 2b…

A: 1) The span of the two matrices 2100 and 1001 is the linear combination of these matrices. span…

Q: The wave equation W 0 = 10%

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Q: ) Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we…

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Q: 3279 5 3 6 -5 5-3 -16 9 -6 27 -12 25

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Q: Suppose H is a n-dimensional subspace. Let A = Let T H H be a linear transformation. Then [T] =…

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Q: Find the radius of convergence for the given power series: Σ(43) ta tanhn n=o

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Q: Sketch the solid whose volume is given by the following integral and evaluate the integral. S/2/4…

A: Note : φ= constant  , represents a cone  and ρ= constant  , represents a sphere .

Q: 1. Solve the equations below using Doolittle's Decomposition method 4 -2 -3 X1 1.1 12 4 -10 X2 0 -…

A: The given problem is to find the solution for the given system of linear equations in matrix form…

Q: 2. Evaluate dr dx JJol ·S d. f. 2√x+3+x x√4x+1 dx x√4x²+1

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: The temperature T at a point (x, y) is T(x, y) and is measured using the Celsius scale. A fly crawls…

A: Given- The temperature T at a point x, y is Tx, y and is measured using the Celsius scale. A fly…

Q: (d) 7 3 6 دیا -2 -4 0-2 -2 -3

A: To obtain the eigenvalues and eigenvectors of the matrices.

Q: 4. Find (a) Fourier Sine Series, and (b) Fourier Cosine series for the func- tion f(x) = sin(x),…

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Q: Consider the function f(x) = rlogr-x+5. It is known that there is a minimum of f in the interval…

A: To solve this problem, we will use Fibonacci and Newton's method.

Q: Problem: The concentration of salt x in a home-made soap maker is given as a function of time by: dx…

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Q: VIII. C ) Find the mass of the surface S, with density function 6(x, y, z) = 3r, parametrized by…

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Q: (c) 4 6 13 -1 -5 2 -5-2

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Q: F9-3. Determine the centroid y of the shaded area. 2m y 23 1 m F9-3 1 m

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Q: The function u(x, y) obeys, 8²u Ərəy = -2e

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Q: Given that λ = 1 is a twice-repeated eigenvalue of the matrix 2 1 -1 A = -1 0 1 -1 -1 2 how many…

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Q: dy = f(y). dt The following problem involves an equation of the form Sketch the graph of f(y) versus…

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Q: x - y + z = 8 = = 9 2x+3y-z 3x - - 9z 2y - 9z -2

A: We have to solve the system of equations in excel . After solve in excel i will share screen shot.

Q: The 3 x 3 symmetric matrix A has eigenvalues 6, 3 and 2. The eigenvectors corresponding to the…

A: Problem is solved using concept of eigen values and eigen vector.

Q: b) Let T:R³ R¹ be a linear transformation, and let B = {e1, ez, e3} be the standard basis for R³.…

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Q: please answer the same way above the former one. j) When is the particle speeding up? k) When is…

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Q: The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the…

A: Let a, b, c, d and e be the weights of the five computer stations. This implies that the weights of…

Q: Prove that sinh ≤h for all h E R.

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Q: Solve the given initial value problem. y" + 4y' +29y=0; y(0) = 4, y'(0) = -6 y(t) =

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Q: Prove by induction E 3₁ = (3^+¹ -1) 2 i=o

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Q: e-s s(s+ 1))

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Q: Find the general and Singular Solution of the Following differential equation y-2px + yp²=0

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Q: 2. Evaluate da da dx a. "LIVE" /1+√ √ √² = √² Sa b. ST. c. -

A:

Q: 6. Prove that for all n E w, the equality 0 n = 0 holds.

A: We will prove by induction. We need to prove for all n∈w, the equality 0·n=0 holds Let n=1, then,…

Q: 2 1) Solve : (D² − 6D+9]y = x²e³x cos2x -) Solve : (x² D² − xD + 4)y = cos log x + x sinlog x :)…

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

Q: Compare and contrast the Fundamental Theorem of Calculus and the Fundamental Theorem of Line…

A: compare and contrast the fundamental theorem of calculus and the fundamental theorem of line…

Q: Let X be a Banach space and T = L(X, X) have ||T|| < 1. Define Tº to be the identity map (that is,…

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Q: s, end behavior and shape.

A: Given: fx=x-100x+125x-702+40

Q: Explain the process of correctly determining Horizontal Shifts. Include a mathematical example to…

A: We have to determine the process of horizontal shift.

Q: d b ☆ Graph A Graph B Graph C 4. For each of the graphs shown above (Graphs A,B,C), determine if it…

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Q: Using a linear-regression equation to predict values outside the range of the data is an example of…

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Q: 22. Which of the following integers are the possible one's digits of a fourth power of any 0, 1, 5…

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

Q: PART#C Use the divergence theorem to calculate the flux of the vector field F(x, y, a) + (2y-3x³y)]…

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Q: The periodic function 7(x) obeys T(x+2) = T(x) and T(z) = >={¹,₂ -1 Its Fourier transform is given…

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Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of

A: In hyperbolic triangles, the sum of the angles is strictly less than 180° i.e π. Now, π2+π2=π

Q: I. 4. Evaluate each determinant. 2-5 2 -1

A: Solution :   Given that  2-52-1

Q: 19. Which of the following pairs of integers is NOT congruent to modulo 9? 1 and 10 4 and -32 -2 and…

A: .