If Z= x Ln (xy) +y³ and y = cos(x²+1) find dZ ? dz dx

Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

A: given total cost C=500e3x8 and production function x=5t6+1

Q: Consider the following ODE system: = x² + xy³ =zy subject to the initial conditions x(0) = 2 and…

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Q: 3. Solve the linear system using Gauss-Jordan method I 2x+y+z=2 y+z+w=2 x+y=z=0 x + 2z-w=1

A: augmented matrix of the given system 211020111211-100102-11

Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: We can solve this using given information

Q: 3+z Given the points R (1, -1, -3), the vector v = and the line d: ¯x+¹=1+y= 3 2 3. Calculate the…

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Q: Let V be a finite dimensional vector spac there exists a linear functional f € V* such f(v) * 0.

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Q: A square piece of paper has side length 1. Esha cuts it in half along one of its diagonals. She…

A: Solution :-

Q: 3 III. 1. Using the technique in Item II., find the general solution of the system ty' = 2 3 2.…

A: Since solved similar ones, Let us start solving the problem step by step  1.Finding the general…

Q: 10 y = 2x or x = 2 (5,10) a

A: The conical tank shown here is filled with olive oil weighing 55 lbft3. How much work does it take…

Q: 5. D = 2000 2 1 -5 Evaluate D.

A: 2  0  0   0-5  3  0   0   3  2  4   0   4  2  1-5  =  (2)(-1)1+1 3  0   02  4   02  1-5…

Q: Suppose you have an mxn matrix A and its Singular Value Decomposition (SVD): A = UEVT Pick all of…

A: Solution

Q: Saddle points - Pure Strategy Find the saddle points of the following payoff 0-1 -6 668 -5 -1 1

A: The saddle point of the payoff matrix is given by  0-1-6668-5-11 we apply the minimax principle…

Q: Resume 1.pdf Use Venn Diagram to find answer to this question. In a party we have these people: 35…

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Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

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Q: Find two vectors of norm 1 that are orthogonal to the vectors u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2)…

A: Let X=x,y,z,t be the vector that is orthogonal to u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2) and w= (3,…

Q: Consider the polar curves in the image then answer the ff: a. Find the point(s) of intersection of…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then area of the region…

Q: The population size of the bacterial culture growing under controlled conditions is doubling each…

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Q: Q/// rational numbers is connected or disconnected in R

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Q: Consider the polar curves C₁: r = 3 (blue) and C₂: r = 2 − 2sin0 (red) and let R be the shaded…

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Q: A mass of 15 kilograms stretches the spring 0.5 meters. Use this information to find the spring…

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Q: 2). Write each symbolic statement in words. Use the variables m, n, and r as defined below. m:…

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Q: 7. Find the equation of the circle with center (2, -4) and tangent to the y- axis.

A: As per guidelines we are supposed to solve the maximum one questions at a time. plz repost another…

Q: Area of the Surface obtained by rotating the curve about the x- 0 ≤ x ≤ 1

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Q: draw and identify the graph of the following surfaces a. x² + y² = sin²z, z = [0, π]

A: Any surface in the 3D plane can be represented in the form of f(x,y,z). A graphing utility can be…

Q: (a) The eigenfunctions of the following eigenvalue problem: X" + XX=0, X(0)= X(x)=0 are given by…

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Q: Find the maximum value of f(x, y) = 2x²y³ +5 on the unit circle. (Give an exact answer. Use symbolic…

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Q: The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy dx²…

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Q: (Fundamental theorem an module homomorphism) Let M, M' be an R-module homomorphism. Then Ker (f) is…

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Q: Consider S as a quadric with equation 4x² − (y − 3)² + 4z² = 4 1. Classify quadric type of S. 2.…

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Q: Let S be the surface with equation 4y² + 4z²x² - 16 = 0. 1. Find an equation of the trace of S on…

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Q: Show that (x + 1)² sin y lim (x,y)→(−1,0) (x+1)4 + y² does not exist.

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Q: A mass weighting 64 lbs stretches a spring 2 inches. The mass is in a medium that exerts a damping…

A: We must have all the units are in same system

Q: Find the volume of the solid generated by the region bounded by y - x² = -3,x+y = 3 about y = -5.

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Q: Given any two Euclidean spaces E and F, w ension m, for any linear map ƒ: E→F, we have Ker f = Ker…

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Q: 4. y" - 4y + 5y = g(x); y(0) = 1, y'(0) = 0 where g(x) = x if 0 < x < 1, and g(x) = 0 if x ≥ 1

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Q: using steffensen's method

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Q: II Find the maximum value M of f(x, y) = x4y5 for x ≥ 0, y ≥ 0 on the line x + y = 3. (Use symbolic…

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Q: z = x siny + y sinx

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Q: A wrecking ball attached to a crane may be thought of as a pendulum. The period of such a pendulum…

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Q: 1. Evaluate the line integral of E = xax - y ay along the segment P₁ to P2 of the circular path as…

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Q: Given: quadric surface S with equation (y - 3)² 1 2 2 (a) Determine and identify the traces of S on…

A: We will find traces on co ordinate planes and also at given plane . From traces we can get idea of…

Q: Find the x and y-intercepts of x² -8x+y+7=0.

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

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (a) If R(0) = (-1,4,-5),…

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Q: 1). Which of the following are propositions? Give the truth value of each proposition. a). It is an…

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Q: y = √x-1, y = 0, x = 5, 16. Find the volume of the solid produced by rotating the region enclosed by…

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Q: Mrs. Cruz asked her 30 students who among their mother, father, or sibling will attend the quarterly…

A: Let us consider A , B, C be three sets then  Some Properties of the set theory n(only…

Q: Find the complete solution of ds dt = 8t³ √√s. =

A: Here we have given dsdt=8t3S ds=8t3sdt dss=8t3dt ∫dss=∫8t3dt ∫s-12ds=∫8t3dt s-12+1-12+1=8t3+13+1+c…

Q: 0 -2 2 -1 B = 1 4 -1 3 4

A: We have to solve given problems:

Q: Find the area enclosed by r = √2 sin 0 and r² = cos 20.

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