- Let T: U₂ P3 be defined by T Prove that T is a linear transformation. ax³ + cx² + cx+b

Q: A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of…

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Q: Objective Function Maximize: Z = 30X₁ + 50X2 Subject to: Constraint 1: 2X₁ + X₂ ≤ 16 Constraint 2:…

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Q: Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS   of the vector field F…

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Q: S(curl F) · n dS  where F  =  4yz i  +  6x j  + 5yze x2 k  , S is the portion of the paraboloid  z…

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Q: e Lay xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: We find required integral by parametrizing x and y .

Q: Use Stokes' theorem to write a line integral that is equal to the surface integral c curl F. ds,…

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Q: 2z Sc (2²+273 dz (z-w)³

A: CAUCHY THEOREM-: IF F(z) IS AN ANALYTIC FUNCTION IN A SIMPLY CONNECTED REGION ,THEN ∫cF(z)dz=0 ,…

Q: Find the matrix P that transforms S₁ to S₂ for the following pairs of bases. 1. S₁ = {(2,5), (1,…

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Q: Supppose A is an invertible n x n matrix and is an eigenvector of A with associated eigenvalue -4.…

A: An×n matrix  and v→ be the eigen vector of  A The associated eigen value is -4

Q: (D3 - 4D²)y = 5, Find Yp O a. 5x² 4 O b. 5.x² 4 Oc. 5x² 12 O d. 5.x² 12 O e. none

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Q: d (t) = 6(1.490-). Notice that this equation suggests that at t = 0, the rim was 6 inches above the…

A: According to the guideline, only one question can be answered with maximum 3 subparts. Please repost…

Q: Evaluate the surface integral. [6 ( ² + x²y) ds S is the part of the cylinder y2 + z² = 9 that lies…

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Q: Consider the function f(x) = sin (x7). a. Differentiate the Taylor series alfout 0 for f(x). b.…

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Q: Consider the intervals A = (-1,2], B = (0, 3), and C= [0,4). Give an argument which shows AUB & C.

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Q: Consider the function f(z)= |z|2 defined for all z ∈ C. Answer whether the following statement is…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. (If not…

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Q: 1) Estimate the derivative at each point using a right hand approximation where possible 0 1 2 3 11…

A: Given data: x 0 1 2 3 f(x) 5 11 14 22 We have to estimate the derivative at each point using…

Q: 4. Let E be the elliptic curve y² = x³ + 7x + 11 defined over the field F17. Let P = (4,16) and Q =…

A: Given the elliptic curve is y2=x3+7x+11    ----(1) and P=(4,16) and Q=(11,5) compare equation (1)…

Q: Write x as the sum of two vectors, one in Span {₁,2,3} and one in Span {u4). Assume that {u.....4}…

A: The given vectors are u1=01-6-1, u2=5711, u3=101-6, u4=7-5-11, x=11-540. The set {u1, u2, u3, u4} is…

Q: How did you get f(x) = 2-2x, can you please let me know.

A: (a) there may be a lot of examples of function f such that      f : [0, 1) → (0, 2] is bijective.…

Q: Decision Variables: x1= Variety, x2= Bakery Supplies Objective Function: Maximize Z =…

A: Objective function MaxZ=18000x1+315000x2 subjected to constrain…

Q: Find the solution of the Differential Equation (D³ - 3D²+4) y = 40cos2x+6

A: D3-3D2+4y=40cos2x+6

Q: 2. (a) Let A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9} and C = {1,4}. Let f: C → B be the function…

A: Let A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9} and C = {1, 4}. Let f : C → B be the function given by…

Q: Consider r¹7 in Q[r]. (a) Find the splitting field E of over Q. (b) Compute [E : Q].

A: Given: x7-7 in ℚxTo find: a) Splitting field E of  x7-7 in ℚx              b) E:Q

Q: The left end of a rod of length I is held at temperature 0, and the right end is insulated. The…

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Q: For a certain drug, the rate of reaction in appropriate units is given by 3 3 R'(t)= + 1+1 √t+1…

A: If rate of change of a function y=f(t) is y'=f'(t) then total function value from [a, b] is…

Q: 2. The first order differential equation 2ydx = (3y - 2x)dy is a. Non-exact and Non- Homogenous c.…

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Q: Suppose that the monthly​ cost, in​ dollars, of producing x chairs is ​C(x)=0.005x3+0.07x2+18x+700​,…

A: We will use derivative to find marginal cost

Q: For x>0, differentiate the function g(x) defined by eg(x)= xe-2x, The required derivative is g'(x) =

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Q: (b) Let f [a, b] → R be a function which is continuous on [a, b] and differentiable on : (a, b).…

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Q: Q3B. Consider the following graph: b a C b and d a and c and f e and f a and e d and f b and c f d e…

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Q: 6. Match the graph of the polar equation to its graph. i. ii. . r = 3 cos(20) sin 0 b. r=0 cos 0 ਸਾਡ…

A: Polar equation  Graph a r=3cos2θsinθ i b r=θcosθ iii c r=θ54 iv d r=1-3sin5θ2 v e…

Q: 18. Maximize P = 4x - y subject to 2x-3y 2-6 2x+y≤6 x + 3y 23 Hint: use 2 squares per step in the…

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Q: 31. Let f(x) = [x²/3]. Find f(S) if a) S= (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: The given function is, fx=⌊x2/3⌋. To Find: f(S) for the following set S, (a) S=-2,-1,0,1,2,3 (b)…

Q: Question: I need help with this Discrete Mathematics problem. Prove by induction that integers n> 9…

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Q: Use the method of reduction of order to solve the equations 2 (D²-1) ex - e-x

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Q: Compute T₂(x) at x = 0.5 for y = e and use a calculator to compute the error lez - T₂(x)| at x =…

A: Taylor series for y = ex is      y = ex ≈ 1 + x + x2/2! + . . . .    So, T2(x) = 1 + x + x2/2 Then,…

Q: The linear tranformation L defined by maps P4 into P3. (a) Find the matrix representation of I with…

A: The given linear transformation, L:P4→P3 is defined by Lpx=15p'-13p''. a) We have to find the matrix…

Q: The left end of a rod of length I is held at temperature 130, and there is heat transfer from the…

A: Given: The left end of a rod of length L is held at temperature 130, and there is heat transfer from…

Q: vector u. 30° x y v b a 13       Question content area bottom Part 1 The horizontal component of u…

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Q: Consider the Boundary-Initial Value problem where bn = and 8²u u 0 0 8.x² It u(6, 1) = 0, t>0 u(0,…

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Q: Let [a,b] be a closed and bounded interval, let k∈ℝ, and let f:[a,b]→ℝ be a function. Suppose that f…

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Q: 3. Given the data 01 6 f(z)|19|23|93 259 construct the divided-difference table, and compute an…

A: NETWON DIVIDE DIFFERENCE TABLE IS GIVEN AS-:

Q: Use Stokes's theorem to evaluate fF.dR or ff(V x F) ndo, whichever appears easier: F = xyi-yzj +…

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Q: The Richter scale is used to rate the severity of earthquakes. An earthquake is measured in…

A: Given

Q: Define the linear transformation T: R³ → R¹ by T() = A. Find a vector whose image under T is b. 2=…

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Q: you have wrong 3rd derivarive and 4th as well

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Q: The function f from R to R is defined as f (x) = x²(x − 1), determine (a) whether f is one to one.…

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Q: a = 8. (f(x) = Ση(x – 8)") - n=0 Co C1 C2 C3 || Find Taylor series of function f(x) = ln(x) at C4…

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