0Y Find the direction derivative of fcxy)=xy at the paint (2,1), by the dirction of v- i-j

Q: DO NOT include spaces in between characters. * The point (3,2 )is on a curve, and at any point (x,…

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Q: 1. Write T if the given statement is true with respect to the underlined term(s); otherwise, write…

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

Q: o find the root of fW =Q-x)e"_1 of use N.P.M

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…

Q: . Find the maximum value of f(x) = In(x – In x) on the interval -sxs. Show all steps .

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Q: 2 II. Consider the function defined by 1 g(x, y) = cos (7x 7) + log3(x – y)' Do as indicated. 1.…

A: Given the function is gx,y=cosπxy+1log3x-y

Q: I. III. Do as indicated. 4. Using laws of set theory aided by two-column proof, show that AU(B – C)…

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Q: Q4) Solve the boundary value problem y - 3y' + 2y 0 with y'(1) = 1, y(3) = 2e* – e? h = 0.5 %3D %3D

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Q: If F is a held and Pra) be a of positve degree orer Then there is a field f. am ctension KE Fa) a…

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Q: 5. (a) Let z = (a + ai) (b + bv3i) where a and b are positive real numbers. Without using a…

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Q: f(x) = x* +16

A: Solution :-

Q: Q4: Solve the following differential equation using Laplace transform (0) y" = 4y, – 4e' yı(0) = 2…

A: The solution is given as

Q: II. Let U = R I = {x € R|x° – 14x³ + 45x = ( J = {x €R|x° 2}. Find the following. All infinite sets…

A: I={-3,-5,0,5,3} We have I={x∈ℝ|x5-14x3+45x=0} Solve for x in  x5-14x3+45x=0 We get I={-3,-5,0,5,3}…

Q: Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). %3D |

A: We want to prove the set identity A-(B∩C)=(A-B)∪(A-C) using membership table . Here we will use…

Q: A company determines that the marginal revenue, R' , of selling the xth unit of its product is given…

A: The revenue function is calculated by integrating the marginal revenue function. It is known that ln…

Q: G(t) = t5 – e-9t + 5(t – 1)?

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Q: 7. (a) Shade the region in the complex plane defined by {z€C: |z+2+ 2레 < 2} . (b) Shade the region…

A: Solution : A) Z=x+iy z+2+2i=2x+iy+2+2i=2(x+2)+i(y+2)=2  squring both side(x+2)2+(y+2)2=4 equation…

Q: 2. Calculate the divergence of D = (÷)[10xyzảy + 5x²zãy + (2z3 – 5x²y)ã,] at P(-2,3,5).

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Q: II. Let U = R I= {x €R|x° – 14x³ + 45x = ( J = {x €R]x* 2}. - 아} Find the following. All infinite…

A: 1. J'={x∈R | x^2 &gt; 6} 2. S'={x∈R| |2x| ≤ 2} 3. I U J ={0,√5 ,-√5,3,-3} U [-√6,√6] 4. I U S =…

Q: Q4) Find the largest eigen value for the matrix 1 2 A= 5 4 with x' (0) = (7/17 1)

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Q: Find the Maclaurin series for f(x)=sinh(x) and its associated radius of convergence

A: Solution :-

Q: Identify the type of quadric surface defined by the equation x2 y + z = 1, 49 9. and find all x-,…

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Q: IF S= 5A<(2E-D']find the value of the following #1 P11 # 4 P21 #7 P31 #2 P12 #5 P22 #8 P32 #3 P13 #6…

A: To find the required matrix :-

Q: 1. How can two pencils (representing lines) be held so that a plane can be passed containing both;…

A: Please submit parts 2 and 3 separately for them to be answered. For the first part, Two lines, in…

Q: Problem 2: 2.5 Evaluate the integral using the composite trapezoidal rule with the indicated number…

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Q: 3. Let X = {a,b,c} with and 7, = {ø, X,{a,b},{b},{b,c}}and Y={1,2,3} with topology T, =…

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Q: II. Let U = R = {x €R|x – 14x + 45x = 0} J = {x €R]x° 2}. I Find the following. All infinite sets…

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Q: 4. Te uran nynx+ q)+1.9014

A: According to the guidelines We are supposed to do one problem

Q: Determine the real root of f(x)=x4-8x3-35x2+450x -1001. Using false-position method to locate the…

A: Solution : Consider the following function, Use false position method and consider the following…

Q: Apply the theorem of integration of transforms to find the Laplace transform of f(t)=2sin5t. Show…

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Q: for the following matrix A and let 5 be th- 1 1 2 -4 A = 0 -1 8 1 3 1.

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Q: ez = -2

A: Solution :-

Q: Find the nth Taylor polynomial for the function, center f(x) - In(x), n- 4, c=7 Pa(x) =

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Q: An experiment consists of three fair, different coloured dice being rolled (the dice are 6-sided and…

A: Given that A is the event that none of the dice shows 1. To find: (a) the sample size S.…

Q: II. Let U = R - 아} I = {x € R|x5 – 14x³ + 45x = | 1= {x €R]x° 2}. J = Find the following. All…

A: Given that U=R I=x∈R|x5−14x3+45x=0 that is I=−5,−3,0,5,3 J=x∈R|x2≤6 that is J=−6,6 S=x∈R|2x&gt;2…

Q: Advanced Math Determine alln >0 such that the decimal expansion of 1/n has period 1.

A: case1: let the decimal expansion of 1n has period 1 after 0 non repeating decinmals: 1n=0.d1d1d1....…

Q: II. Let U = R I= {x €R|x° – 14x³ + 45x = 0 J= {x €R|x? 2}. Find the following. All infinite sets…

A: 1st find possible values of x in given sets and then find set after using given operation  Note :…

Q: In computations, increase the step size to minimize truncation errors. O True O False

A: Solution

Q: II. Let U = R I= {x €R|x° - 14x + 45x = J= {x € R|x* s6} S = {x €R| |2x| > 2}. - 아} Find the…

A: Union of the two sets: The union of two sets contains all the elements of both the sets Intersection…

Q: Determine whether the series converges absolutely or conditionally, or diverges. no Vn + 1 O…

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Q: 2. Use membership tables to prove that A - (BnC) = (A – B) U (A – C).

A: To Prove: A-B∩C=A-B∪A-CUsing the membership table.

Q: 1. Using Cramer's Rule а.2х + у —z%3D33 b.x + y+z= 1 с.X-2 у—3z%%34 |

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Q: For items from 10 to 14 Refer to this given polynomial function. y = 12x2 – 4x³ 10. What are the…

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Q: Q1: Find the Laplace of the following Periodic functions: 1. f(t) = t 0 <t < 2 2. f(t) = ksin(wt) 0…

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Q: Find the arc length of the curve on the interval [0, 27). Hypocycloid perimeter: x - a (cos(0)), y =…

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Q: Let n be a positive integer. Show that every connected graph on n vertices has at least n – 1 -…

A: This is a problem of Graph Theory.

Q: Solve for the laplace transform using the formula. F(t) = e-2t-5 G(t) = t5 - e-t + 5(t – 1)2

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Q: Let P be the vector space of all polynomials. Then the set H = {p(t) : p(t) at2 1h %3D and h are…

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Q: Express each of the following in the form a + bi. cosh(1 – i2)

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Q: 7. Given 2x2y" + xy' + 3y = 0 show that 2x² yn+2) + (4n + 1)xy(n+1) + (2n² – n+ 3)y(n) = 0 %3D

A: To show that the given relation is true we will use the mathematical induction. In mathematical…

Q: 5 i 2. (-;-2) 3-2i

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