Q/ Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 |f(x) 10 17 22

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Q: 1. f(x) = e² and g(x) = -e + 2.7

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Q: If a function f: D R is differentiable at a point (a, b)ED, then f is continuous at (a, b);

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Q: Given two matrices: -- - [1 A = |2 2 1 ] -1 and B = [1 |0 1 lo 0 -28] 2 1 -3 [3 -2 -: -1] a) Check…

A: To show A is row equivalent to B we perform row operations on A. The elementary matrix is formed by…

Q: (a) and value ot odiv arad - R Bind the and Curd gras te AX A = Le2 (b) gt Ř -Îx +âtêz and rolRi…

A: Using partial differential.

Q: I dv= 3x y dx

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Q: Q2: Find a root of x - 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

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Q: 3:) Consider the function g defined by g(x ,y) = cos( TX Vj) + log3 (x-y) (b) calculate the…

A: Given the function is gx,y=cosπxy+1log3x-y and point (4,1,2)  and v→=1,2

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Q: Determine the Slope of. |(12, -8) and F(1, -1) X1 = Y1 = Step 1: Identify the (x1, x2) and (y1. y2)…

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Q: b. 14 d. 36 11.What is the probability of getting an even number in tossing a die once? а. 25% b.…

A: Solution:-As per guidelines I submit first question only

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Q: gener dx 1+2y? (6 marks)

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Q: Let E be the surface with equation (y – 4/2)2 1. | 32 52 42 (a) Give equations of the traces of E in…

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Q: Can you please help me th

A: Given,              x1=011, x2=2-10, and x3= 10-2 be eigenvectors of A which corresponds to…

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Q: gb the veetor field is given by Ě F-(2x-+z)i+ OHy Z²) j+(3x-2y+4z)R then evaluate the line integrad…

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Q: Use The Runge-Kutta Method SoNe the: dy X(I+x), y(0)=3,h20.2

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Q: 1.0 F7 so for 0<x < 4, for 4 < x < 6. 0. Let S(x) = {6 - a Compute the Fourier sine coefficients for…

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Q: 4.) Consider the function g defined by g(x, y) = car ( 7X Jj ) + logg(x-y) does 9 have the maximum…

A: Given: gx,y=cosπxy+1log3x-y

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Q: et A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

A: This is a problem of 3D geometry and multi-variable calculus.

Q: F = 6x i  + 6y j + 7 k; S is "nose" of the paraboloid z = 2x 2 + 2y 2 cut by the plane z = 5;…

A: This is a problem of vector calculus.

Q: If 1 d 1 d a a det b = -1, and det 6 2 = 3, e e 1 f 3 f then a d det and e f d' det 1 e 2 f]

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Q: Calculate the instantaneous rate of change of g at the point (4, 1,2) in the direction of the vector…

A: Instantaneous rate of change of a function g in the direction of a vector v is  =∇g.vv Maximum rate…

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A: If [a, b] be a closed and bounded interval. Let f:[a, b]--&gt;R be a continuous bounded function on…

Q: Consider the function defned by f(x, y) - y-e* (a) Find the domain and ran ge of f. (b) Draw a conto…

A: For a function: z=f(x, y), the set of real values of x, y for which z is defined is called the…

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Q: 3.12 (c),(d),(f) Suppose S is a subspace of the topological space X. (c) If (p.) is a sequence of…

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Q: Let y = and u = Write y as the sum of two orthogonal vectors, y, in the span of u, and y, which is…

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Q: A store owner bought 28 swimming caps for P 2, 436.00. He sold 3/14 of them at P 100.00 each and…

A: Given , Cost price of 28 swimming caps = P 2436 Now, (3/14) of caps = 28 x (3/14)= 2x3 = 6 Selling…

Q: . A rectangular tent is made to have a square base with two partitions inside that divide the tent…

A: We will find the function to be minimized and then use calculus to minimize it

Q: Consider the function g defined by 1 g(x, y) = cos (Tx/y) + log3 (x – y) Calculate the instantaneous…

A: Instantaneous rate of change (Directional derivative )  of a function f(x,y,) in the direction of…

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Q: 1)Determine S[f] (Fourier series) if: a) f(x) = 2x; x ∈[-1, 1] such that f(x) = f(x+2) b)…

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Q: Write a stochastic matrix corresponding to the transition diagram. 0.1 0.2 A B 0,4 The stochastic…

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Q: find the equation of the line which cuts off an intercept 4 on the positive direction of x-axis and…

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Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of…

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Q: vestion 32 ICLO-21 Using the Priority List B, E, A, C, D schedule the project with N=2 processors…

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Q: A rectangular tent is made to have a square base with two partitions inside that divide the tent…

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Q: Find the Directional Derivatives of f (x, y) = ey at (2, 3) in the direction v = 3i – 4j

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Q: А. Determine the domain and range of f. В. Draw the contour map of f using four values of k. С.…

A: This is a problem of multi-variable calculus.

Q: What is the y-intercept of 5 times x plus 6 times y equals 9? 3 2 3. 2. b: 3. b= %3D 23 23

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Q: , then A'(V) is a free K – module of rank

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: 5) suppse z is a function of x and y, and asc =+ye:2Y evinx Solve dz for and dz

A: Suppose z is a function of x and y and x2+yz =zyesinx ……………………………(1) Squaring both side, we get…

Q: and Suppose z is a function of a and y, and tan Vy2 + x² = z*e6y. Solve for dx dy

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