Check the differentiability of the function f(x, y) = √xy | at the point (0,0). Also check the continuity of fx and fy except at the origin.

Q: Q2) show that: X(0)8(f) a) x(t)dt → + X(f) 2πJf 2 b) if x(t) = x(-t) (even symmetery) then all the…

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Q: Let X₁ and X₂ be the payoffs of two investments with E(X₁) = E(X₂) = 10. The expectation of the…

A: Given, X1 and X2 be the payoffs of two investments with EX1=EX2=10.

Q: Suppose S is the lower hemisphere S = {(x, y, z) x² + y² + z² = 9, z ≤ 0}. Further, define a vector…

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Q: he columns of Q were obtained by applying Gram-Schmidt process to the colum 5 -4화 || 4 오= 글 56 16 16…

A: The columns of Q are obtained from A  Therefore the columns of Q are e1=561616-12 and…

Q: The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. Use Lagrange…

A: Note that here we have to extremize x2+y2+z2 , whch is eqivalently ,to extrimize x2+y2+z2.

Q: Question 6 (a) Write down the augmented matrix of the following system of simultaneous equations:…

A: # As per the guidelines we are entitled to solve one question at a time, Since (a) and (b) are…

Q: Draw the Has

A: Given: Set A=1, 2, 3, 4, 6, 12, 24. We have to draw the Hasse diagram representing the divisibility…

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

Q: Suppose in an autocatalytic chemical reaction, compound A reacts to form compound B. Next, suppose…

A: Given that an autocatalytic chemical reaction, compound A reacts to form compound B. The initial…

Q: Use the following information to answer the next two questions. At a local restaurant, the following…

A: 1. To make the breakfast, as per the given condition write the possible combination.

Q: Solve each system + y +2= y +14: x + 2y x a) (3x 11 non 11 6 = -5 (2x + b) 3x + y +2: = 3y + " 11 17…

A: We need to solve the system of equations given in part a) and b) We will use elimination method to…

Q: n of parameters to find the general solution of the

A: Use the method of variation of parameters : The given differential equation is y''-2y'+y=et1+t2+3et…

Q: An isosceles triangle with a base of length b and height of h has a rectangle inscribed. Find an…

A: Given: An isosceles triangle with a base of length b and height of h has a rectangle inscribed. The…

Q: 13. On the graph below, point A(3,4) and BC with coordinates B(4,3) and C(2, 1) are graphed. A C -X…

A: Introduction: A dilation is a transformation in which a figure is enlarged or reduced with respect…

Q: Use Green's Theorem to evaluate: [F F.n ds where F =(√x + 5y, 3x + 5y) and C' is the boundary of the…

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Q: Calculate 26 where z = 1 − 2j. [Hint: Pascal's triangle.] Calculate z¹0 where z = √3-j. [Hint: Use…

A: To obtain the solution, use the following formulae. Pascal's triangle:…

Q: A. Solve the following matrices using the following methods (a) matrix method, (b) determinant…

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

Q: Q3// Find the value of sin лz²+ сos лZ² $c dz (z-1)(z-2) Where C is a rectangular with vertices at…

A: As per the question first we have to evaluate a conture integral, then we have to find the laplace…

Q: Multiply 974x23 using the galley method. Construct a rectangle for multiplying 974x23 using the…

A: To find- Multiply 974×23 using the galley method.

Q: “Assignment problem is a special case of transportation problem where the number of sources is equal…

A: To discuss: Assignment problem is a special case of transportation problem.

Q: D C 1010 A E 510 B

A: Here in the given figure, Lines AB and CE are parallel, AC and EB are parallel. So the quadrilateral…

Q: Use the Sales information above to answer this question. What is the expected profit if Jesaki Inc.…

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Q: Find the linearization of the function at the given point. f (x, y) = e sin y, 0, 7).

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

Q: One among the 4 students Mary, Ingrid, Chito, and Chad did not do his/her homework. Their teacher…

A: We have to find the person who did not do the homework.

Q: Find the وال dx² Please solve in a quarter of an hour please 9(0) = 1 g(0)=2 dy-129=0

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Q: Use trial and error to find all replacements for x that are less than the modulus that make the…

A: To find- Use trial and error to find all replacements for x that are less than the modulus that make…

Q: Let A = {(x,y) = RXR; 0<max{|x-3], ly- 2|}<1}, then: *

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Q: A. Solve the following matrices using the following methods (a) matrix method, (b) determinant…

A: Given the simulation equation,…

Q: 1. Evaluate the following limits: |x+61 2. lim G(x) if G(x) = x-→-00 x+6

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Q: Determine the validity of the following argument: (Show the three-step procedure for determining the…

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Q: The function f:P (₂)→Xº for X is a two-element set (0,1) is?. a) Bijective b) Surjective c)…

A: Bijective

Q: let V = M2x2 (R) M = { A € V A = A} N = {AEV A = -A²} Subset of the vector space V The answer must…

A: Direct sum of the subspaces

Q: 2. (Short-run costs, Evren wants to go into the donut business. For $500 per month he can rent a…

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Q: (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) = Investigate…

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Q: Write the first four terms of the sequence: an = 3n + 4 . If a1 = 2 and a3 = 8 of an arithmetic…

A: We have to write the first four terms of the given sequence. Then, we can proceed further.

Q: 6. Suppose that the IQ scores of students at a certain college follow a normal distribution with…

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Q: and the Maclaurin series of f(x) = tanh ¹x

A: According to guidelines we solve one question.thanku

Q: 1. Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x =…

A: Note: Hi! Thank you for the question As per the honour code, We’ll answer the first question since…

Q: 2. Find the Maclaurin series of f(x) = tanh-¹x

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: Use the mid-ordinate rule with four intervals to evaluate the integral Type your final answer below…

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Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 245

A: There are two bigger semicircle of radius 1/2 each has area [π(1/2)2]/2 = π/8 There are four…

Q: Find T(10 + 7t) when T is a linear transformation from P₂ which is a vector space of polynomials…

A: A linear map (additionally called a linear mapping, linear transformation, vector area homomorphism,…

Q: 7. Suppose that Professors Wells and Zeddes have final exam scores that are approximately normally…

A: mean μ=75 standard deviation of wells scores σW=10 standard deviation of zeddes scores σZ=10 a) with…

Q: Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies…

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Q: What is 377 in Roman numerals?

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Q: Use the Simpson's rule with six intervals to evaluate the integral Type your final answer below…

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Q: 3. For each of the following normal curves, identify (as accurately as you can from the graph) the…

A: Follow the steps.

Q: (10) Suppose that the transtormation given by u=2x-g is used on the н наад) A where D integrat…

A:

Q: a. Let A be an p × k matrix, with columns a₁, A2, . ...,ak. Let x = (X1, X2, ... Xk) be a vector in…

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

Q: = 0-3 3 3 -5 3| B= 6-64 -3 1 -7 5 -1 -6 6 6-2

A: The given matrix is: A=0-333-536-64 B=-31-1-75-1-66-2