6 Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 3+x2 (Use decimal notation. Give your answer to five decimal places.)

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A: Given that,  Curve C on the yz-plane with equation y2-z+2=0                   1 Therefore, equation…

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Q: X= (y-3)2 and X= 16 about the X=- 5

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Q: 22 Suffosethent fco)-cosg()-e unedicalafforonimatson fncb f60-8),9G0) fox the Values ofhas…

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Q: Question 1: Prove that Sn is true for all natural numbern 23 + 43 + 63 + + (2n)' = 2n²(n + 1)² ...…

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Q: Suppose that X and Y are topological spaces and f: X- Y. Show that f is continuous iff for each…

A: Definition: Let X and Y are topological spaces and f : X→Y be a function. We say that the function f…

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Q: B. Determine which of the following sets W is a subspace of Rª for the indicated value of n. Justify…

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Q: 3. If the radius of the circle were 2, would that change the value of the sin, cos, tangent for each…

A: Let us write the reasons of the circle based problem in the next step.

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Q: 7n -n - 2 3n2 +n+4 ot test to determine whether the series converges or diverges.

A: We have to solve the series using root test.

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Q: Let S be the set of all 2 x 2 matrices A = (a;) such that a1 = an. Determine whether or not S is a…

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Q: Which of the following is not linear in the variable x and y? O 2x-3y =4 %3D O a? + y? = 4 %3D +2…

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Q: August eats a mix of Food X and Food ? Y for lunch. The amount of protein, calories,and sodium per…

A: We will form a linear programming from given data and then solve it by  graphical corner point…

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…

Q: 4 Find the arc length of y = (**)' + over [1,2]. 2(x+5)? (Use symbolic notation and fractions where…

A: Arc length of the curve

Q: 2. (i) Let A be an invertible matrix. Assume that A = A-1. What are the possible values for det(A)?…

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Q: Q2: Find a root of x- 0.5 – 2-2x = 0 by using Newton-Raphson method correct %3D 4 decimals so that…

A: Given: f(x)=x-0.5-2-2x To find: Root of a given function by using Newton-Raphson method correct to 4…

Q: 5. (i) Let A be an n x n matrix over C. Show that the eigenvectors corresponding to distinct…

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Q: 山(10)120)-

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Q: Find the inverse Laplace transform of each of the following: s+1 (a) Y(s) = s2 +5s+4 1 (b) Y(s) = -…

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Q: 2) Consider the function g defined by glx, y) • cos (TxJy)+ log3 (x-y) la) determine дудх

A: Consider the function defined…

Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} where a = (1 2 3 4) and b =…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the triangle…

A: We will find equation of boundary lines of triangle and then shade the region . Then rotate region…

Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D %3D where a = (1 2 3 4)…

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Q: theorem/ Letxis Hilbert Sface and T, SEBCK),26F then D Pracf %3D 3.

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Q: and ind scalars a and b such thai Dw.

A: given u=8i+4jv=i+jw=i-jWe have to find scalar a,b Such that u=av+bw

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = x 2y i  -…

A: To find the flux of the vector field F across the surface S. F=x2yi−zk S is the portion of the cone…

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A: Total surface are of a cuboid whose length= l unit,  breadth= b unit , height= h unit  is Surface…

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Q: Let U be a universal set and A, B, C CU. ITEM 1. Prove: A n BCAUB

A: # as per the guidelines we are entitled to solve one question at a time please resubmit the other…

Q: 2000+6000t The number of individuals of a species after t> 0 days is given by N(t) 5+t Q(t) R(t)' b)…

A: The no. of individuals of a species is given by N(t)=2000+6000t5+t where t>0 is no. of days. (a)…

Q: 1 Given that L-(4+9)) = 8in(Bt) – sin(Dt) L-'(+4)(s²+9) Match the following values. 10 is the value…

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Q: 6. (a) Express the function f(x) = x in on [0, T] as a Fourier cosine series S(x). What is S(-1)?

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Q: theorem/ Letxis Hilbert Sface and T, SEBCK),26F then D Pracf %3D 3.

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Q: School fees at a certain school are due at the beginning of the year. The fees are set at R12000 for…

A: Solution :-

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A: We have to show that inverse of invertible linear transformation is linear transformation.

Q: of the vector field F across the surface S in the indicated direction. F = x 2y i  - z k; S is…

A: Introduction: The flux of the vector field F is given by the formula, ∮CF.ndS=∫∫∫div(F)dA

Q: 6. 'The mapping T :R³ → R? is defined as T (x, y, z) = (x + 2y+ 3z, x + 3y + 2z) is a linear…

A: For linear transformation T:ℝm→ℝn Kernel T (also known as null space of T) is basis of the vector…

Q: do i prove this

A: Introduction: A triangle could be a 3-edged polygonal shape with three vertices. it's an elementary…

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Q: Let f be a continuous function on R such that f(x+y)=f(x)+(y) ¥x, yER. Show that f(x)3cx for some…

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Q: Rotate the region bouNded by X= (y-3)² and x= 16 about the x=-5

A: 1st we will find shaded region bounded by given curve and line