Using Taylor Series, show that sinr can be approximated by x-x within 0.01 on the interval [-1, 1].

Q: Question 3. Prove that L(e^)(«) = * & dt.

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Q: Prove that √3 is irrational.

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Q: Find f(0) from the next table by (F. D. D) method X -1 1 3 5 Y=f(x) 3 5 -7 0.7532 O 0.6321 O 0.5326…

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t) [U(t-4) -…

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Q: Prove that there are no integer solutions to the equation x2 = 4y + 3

A: Given equation:- x²=4y+3  We have to prove that the given equation don't satisfy integer pair of x…

Q: 24. Order: nivolumab (Opdivo) 240 mg IV q2 weeks infuse over 30 minutes. The label states "40 mg/4…

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Q: Let u(x,y,z) be a three-dimensional function, convert this equation into its corresponding numerical…

A: As per the question we are given the Laplace equation in 3 dimentional cartesian coordinates. And we…

Q: Find the area that enclosed by the circle r-2sin 0 for 4 ≤ 0 ≤T/2 | (+-#) V=2sin o ty

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Q: Determine the type of the quadrilateral of this equation, for every a belongs to Real numbers 2x² -…

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Q: y(1) = 8 Y₂x a) Find the response to the following IVP: ty' - y = t, b) Find the general solution to…

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Q: Use two truth tables to show that each of the propositions are equivalent.  e.  (p \/ q) /\ r and p…

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Q: 2. Solve the following LPP using Simplex method. Max P = 12X + 16Y Subject to: 10x + 20y =0 and Y >=…

A: To solve a linear programming problem by simplex problem we first writte into standard maximization…

Q: Find the derivative dv/dpsi of v(x) V()| V(vi) where V(y) = (1 - e-√2 and 16 V (vi) = (1 - e-√2…

A: Given v(ψ)=VψVψi           (1) where Vψ=1-e-16π3ψ2 and Vψi=1-e-16π3ψi2 Since ψi≠ψ and ψi is the…

Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t− 4) –…

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Q: 5. Given two vectors a = and b=. Find (i) (a + b). (ax b) (ii)the angle between a+b and axb.

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Q: Show that the set of rational numbers Q is countably infinite, with |Q| = |N].

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Q: Hand written plzz : Find the Laplace transform F(s) = L{f(t)} of the function f(t) = (8-t)…

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Q: Let f be differentiable on [a, b]. Prove that there is a sequence {x₂} ≤ (a, b) such that xñ ⇒ a and…

A: Please see the attachment

Q: Calculate the area for the following closed quadrilateral, given delta E (departure) and delta N…

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t)…

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Q: If S is a function of (x, y, z) coordinates, and P = Ai - Bj - Ck where i, j, and k are the unit…

A: S is the function of (x,y,z) and P→=A i-B j-C k i, j, k are unit vectors. Solution 1: ∇×∇·∇S Since…

Q: * find f(3) from the following table by Lagrange polynomial X 2 2.5 4 Y=f(x) 0.5 0.4 0.25 0.264 O…

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Q: Consider the solid Q bounded by the surfaces S₁: y = 4x², S₂: z=4-x, S3 z = S4 : y = 0 whose…

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Q: [1 Find Al from A where A = 4 * 0 31 5 1 а-57 b-67 c- 77 d- 87 e- 97 a ьо C do e L2 7 8J оо ооо

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Q: Find the first 3 terms in the Maclaurin series for the function f(x) = sin²x

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Q: 6) Let F(x, y, z) = 2ri+xyj+r²zk be a vector field and S the surface with equation x = In (y - 1)…

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Q: 7. Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t) [U(t-4) - U(t-8)].

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Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: Integers Fractions Negative Positive Figure 4 The real number system Exercise 5 Copy and complete…

A: We need to complete the table.

Q: Consider the piecewise smooth curve 0) to point B(4, 6, 1), shown in the following figure: 2=4-…

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Q: 1. The following frequency distribution of marks has mean 4.5. Mark 1 3 Frequency 2 6 (a) Find the…

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Q: (1) I= z²dz, C: z(t) = t² + it (0 ≤ t ≤ 1) (2) 1 = √ zdz, C:z(t) = t² + it (0 ≤ t ≤ 1)

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Q: Allow T to be the surface with equation +3² = (2-3√2)² – 1 32 1. Provide the equations of the traces…

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Q: 5. Find the standard matrix for the linear operator T: R³ R³ that first transform by the formula…

A: Consider the given transformation formula, Tx,y,z=x-y+z,-x+y,y-z so, the standard basis of ℝ3 is…

Q: (d) (A - BK, B) is a minimal realization for the corresponding Hƒ(s). Let (A, B) be a minimal…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Q2

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Q: Q2: Check the symmetry and graph the curves in rectangular and polar coordinates (? Ar=3 √cose

A: To check the symmetry and graph the curves. Given r=3cosθ

Q: Q4 Find the area of the region that lies inside the circle r-2 and outside the cardiod r-2-2cos 0

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t-4) -…

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Q: an example of a cue/cues as per cereal. Remember cues can vary by all/any of the 4 Ps of the…

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Q: (z-3√2)² Allow T to be the surface with equation 1 42 3² 1. Provide the equations of the traces of T…

A: here we use general equation of ellipse to conclude that the trace is elliptical.

Q: 789 1500.568 x mod (2663)

A: Given 1500·568789≡ x mod2663 Now, 1500mod(2663)=1500568271mod2663=271 Then  1500·568789…

Q: part

A: Here part C and D are both same.

Q: (b) Each integer has the property that its square is less than or equal to its cube. i. Original…

A: We use rules of logic.

Q: Q1: Find the general solution of the y - 4y - 5y = 2sin2 x

A: Given differential equation is y''−4y'−5y=2sin2x. We have to find the general solution of the given…

Q: [t²cos n=tdt 2 Solve the integration by table or zeroing method, then arrange the integral and the…

A: Sol

Q: (laplace transform) 3u If L (e³t) = ¹, then L( e³u du) is... S-3'

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Q: Q2 Find the points of intersection of the polar curves r=1+cos and r= -cos

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