Given the f(x)=cos(x5)+ln(x), find f’(9) at h=0.8 using: (Round off the final answer to 3 decimal place. No need to round in each step.) Forward Difference. Backward Difference. Center Difference.

Q: Let x, y € R" be given. (a) If ||z||||y||=1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and ||y||…

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Q: Problem non Find y as fi ofa y" _7y"_y² + 7y=0; y(0) = 7; 9²601 = 1; 9²4(0)=7 уск TV = entory Xey…

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Q: Given: y' - 2 = −e¯4x – 2y, y(1) = 0.25, h = 0.05. At what value of x will the % error in the…

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Q: ; Let x, y ER" be given. (a) lf ||x|| = ||y|| = 1 and x - y = 1, show that x = y. (b) If ||x|| ≤ 1…

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Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

Q: 5: Let R=(Z,+, .). Find Chan Idempotent element of R e) Is R a field? Why? c) Nilpotent elements of…

A: We have to find the nilpotent and idempotentent element of R.

Q: In Exercises 1-3, find the general se S 1. d²y ,dy dt² dt +6- +8y=2e-3t

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Q: Solve equations: 10. y == y x+y 8. y 3y+M(1;1) x M (0; 0). -; 9. xy = x + 29: 11. g =2ry+1;M(0;0)…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Kulvir's sales last week were $31 more than five times Stuart's sales. If together their sales…

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Q: Given a differential equation of y’=ln(x+1) and y(0)=1. Find the value of y when x=1 using Euler’s…

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Q: The wave equation 2-10² may be studied by separation of variables: u(x, t) = X(x)T(t). Which of the…

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Q: Given the vector field F=rcoso ar+ -sine ae +rap After solving for the question, what is the scalar…

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Q: Find the zero-divisors of Z6.

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Q: A population of rabbits grew from 10 to 3000 in 24 months. Determine the doubling rate.

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Q: 1: (A) Write True (T) in front of the true statement and false (F) in front the false atement: 1.…

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Q: Given the system of linear equations, X + Y 2, X + 2y + Z 3, X + Y + (k²-5)z k, where k is a…

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Q: Consider the given differential equation: + = cos x - sinx, y(0) = 1, h = 0.25, at what value of x…

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Q: Find the maximum and minimum values of z-a 1 - āz on z ≤ 1 (where a with |a| < 1 is fixed)

A: As per the question we are given a complex valued function : |(z-α)/(1-zα̅)| , |z| ≤ 1 , |α| &lt; 1…

Q: (a) Let a, b, c E R³. If det (a, b, c) 0, prove that a, b and c are non-zero. (b) Prove that x x…

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

Q: Consider the surface S shown on the graph, whose parameterization is given by: r(u, v) = (v², uv,…

A: Given- Consider the surface S shown on the graph, whose parameterization is given by:  ru, v = v2,…

Q: ( Minimize z = (x₁ − 4)² + (x₂-4)² subject to 2x₁ + 3x₂ ≥ 6 -3x1-2x2 ≥-12 x₂20;x₂20

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Q: Suppose the functions f, g, h, r and I are defined as follows: f (x) = log+log x 3 g(x) √(x+3)² h(x)…

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Q: Solve for x.

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Q: Using spherical coordinates, the volume of the solid inside the sphere 3√3 x² + y² + z² = 9 and…

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Q: 3- The interval (0,1) in (R, T;) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d-…

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Q: A field of characteristic p *0 such that each element of the field is the ph power of some member of…

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Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, ß are positive…

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Q: Find the surface area of the following figure. Round your answer to the nearest tenth. 14.2 m 11 m…

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Q: 9) If f(z)=u- iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: 3x+4y-2z+ cos6x+9 exp(x)=-9 5x+2y+z=-3 x-y+5z=-11

A: Note:- This system contains some trigonometric terms. so, we'll use graphical method for solution.…

Q: c) sulue: Q (y) = f(t) > y (0) = 22,4 (0) = 1, 9" (0) = 4 and fet) = { 10 000 S 10 wst+laet +2 if…

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Q: Let a ER. Solve the inequality for real values of x. log[x] (x − a) +log[x] (x+a) <0 [...] floor…

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Q: 1. What is the volume of this prism? 3 3 6.97 3 54 cubic units 63 cubic units 36 cubic units 16…

A: The height of the prism is 4 units, length is 3 units and wide is 3 units. So, the volume of the…

Q: 3. For each matrix shown, choose one of the following phrases that best describes the matrix. Give a…

A: Matrix A : is not in echelon form because in column 3 zero are above leading 1's

Q: 3- A discrete topological space (X,T) is: a-To-space, b-T₁-space, c- T₂-space, d- No one.

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Q: Show that the inner product (,) on an inner product space X is a bounded sesquilinear form h. What…

A: Given that X is an inner product space with an inner product ·,· defined on it. We know that a map…

Q: Which of the following shows the correct substitution of the variable u into the integral S₁ x√3x -…

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Q: Prove 10^47+67 is not a prime(use Fermat's). Thank you :)

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Q: a 2. Is the set of vectors of the form b a subspace of R³? Show your proof. a+2b] 3. Show that the…

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Q: Evaluate Sc (5x+2√y) ds ds where C is given in the accompanying figure. CH (1,1) 1- Z y=x y=x² X…

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Q: (B) Find the zero-divisors of Z6.

A: Here we have to find zero divisors of Z6 . If in a communicative ring  (R, +, x), two non zero…

Q: Example 8.27. Using trapezoidal, rule, evaluate I = ²² dxdy, taking four sub-intervals. 11 J1 x + y

A: problem is solved using trapezoidal rule.

Q: 1) For ellipse, consider the following graphs 0 O Please use your own words to summarize the…

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Q: Let us solve the following equation via separation of variables du(x, t) Ət = 3 Pu(x, t) dx² a)…

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Q: Let D be the portion of z = 2z + 5y inside z2 + y² = 1, oriented up, and let F = (y, z, -z). Compute…

A: Solution :  Options ( 3 )  is correct

Q: 4. Show that a sublinear functional p satisfies p(0) = 0 and p(-x) ≥-p(x).

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Q: Seven line segments with lengths no greater than 15 cm and no shorter thatn 3 cm are given. That 3…

A: Solution:By the triangular inequality theorem, a side of a triangle must be less than the sum of the…

Q: 3s²+2s+27, +9) (s²+1) =²+62s+92

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Q: Suppose that f and g are both continuous functions. Also f, ge [a, b] and b that f f = fg. Prove…

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Q: f(x) = (219+d) x¹ + (9+d) x ³ + (4+d) x²-allxd² in [0, 1] up to 10-4 secent method using f(x) = 228…

A: As per the question we are given teh following function : f(x) = 228x4 + 18x3 + 13x2 - 211x - 9 And…