Use the forward difference formula to approximate the first derivative of f (x) = In x at x= 1.8 using h = 0.05. %3D O 0.57924611 O 0.5479795 O 0.5540180 0.5406722

Q: Let f(x, y) = x sin ry. Find: fyy (x, y) fyz(x, y)

A: f(x,y)=xsinxyfx=sinxy+xycosxyfyx=xcosxy+x(cosxy-xysinxy)=2xcosxy-x2ysinxyfy=x2cosxyfyy=-x3sinxy

Q: O f(x)=x2, when f: Z Z O f(x)=x?, when f: Z-z O f(x)-x2, when f: Z Z O f(x)=x2, when f: Z Z

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Q: Let an be the nth term o structed by including the

A: Given, an be the nth term of the sequence                    1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, ...

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Q: - 4y" – y = e2 + 3

A: Solution :-

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Q: circle. (2) PQ. A B 48

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A: From the given equations we have,mF+mPvfx=mF+mPvfcos∅       ...........(1)mF+mPvfy=-mF+mPvfsin∅     ...

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Q: – 21 and A8 = XÃ + yI

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Q: Vrite the first five terms of the sequence: +oo Vn2 + 7n – n}n=1 Determine whether the sequence conv...

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Q: is 28 and the 7th term is 448, then find the 9th term of this GP. Show all steps.

A: Introduction: A geometric progression is a sort of progression in which each term has a fixed ratio ...

Q: Solve the following complex numbers in their rectangular form. Use the given formula and use 4 deci...

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Q: QUESTION 6 The graph of f(x)= mx -3x - nx +5 has a relative maximum at (-1,12) and a point of 1 3 2 ...

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Q: 2 1 31 Find the inverse of A = 4 -1 3 -2 51

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Q: 3) (i) Let X be a set containing elements a and b. Define T= {X, Ø, U| a E U and b E U}. This is a s...

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Q: Find the inverse Laplace transform 3s +1 b) s(s? +1)

A: We need to find Inverse Laplace of ,  Fs = 3s + 1ss2 + 1 First we need to Partial fraction of  F(s)....

Q: If the 5th term of a geometric progression is 224 and the 9th term is 3584, then find the 13th term ...

A: a5=224⇒ar4=224a9=3584⇒ar8=3584a9a5=ar8ar4=3584224=16r4=16r=2ar4=224a16=224a=22416=14a13=ar12=14×212=...

Q: f(x)

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Q: • Use the IVP to prove that r3 – 4z+2 has a zero in the interval [0, 1] • Use the IVP (and a similar...

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Q: () 4 -2 -1 4 1 3 If A = 3 -1 and B 5 1 find BA. -2 1 -5 6. -1 2 | na () ? ? ВА%3 ? ?

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Q: What is the estimate of the integral using 4-segment Trapezoidal Rule? +x 0.708334 b. a. 0.697024 0....

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Q: a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1 – 2x2...

A: Since there are multiple question , we will solve the first one, post the question again by mentioni...

Q: 3. Suppose that the characteristic polynomial of a square matrix A is fA(^) = –X³ + 3A (a) What is t...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three subp...

Q: Bessel's Function Tutorial sheet J, (x) Find ý and ý 2. y =

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Q: Solve the laplace transform Z(cos (at)sinh(at)

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Q: Find J, ()dx Chint:let Z=Jx)

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Q: Q.1. Prove that if the series En=1an is convergent then the sequence an is convergent.

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Q: Obtain the inverse Laplace transform: 4s+4 s² (s-2)

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Q: Kevin

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Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: To find- Find Solution using Newton's Divided Difference Interpolation x = 301?

Q: 4 8. A = -3 -5

A: Solution

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Q: 1+ i -7+ 8i 4i 3+ 0i If A = and B find AB. 3+ 3i 2 – i 2+ 0i -14i ? АВ — ?

A: We have to multiply the given two matrices.

Q: Question 2. Solve the following differential equations: a) 4 dy dx2 dy 42- 3y = cos 2x. - dx

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Q: 10 13 (p). (d) 16 (b) (ii) i)

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Q: e**Ydx – e2ydy = 0; y = 0 when x = 0

A: ex+ydx=e-2ydydydx=exeye-2ydydx=exe3y∫e-3ydy=∫exdxe-3y-3=ex+cPut x=0,y=0, we get c=-43So, e-3y=-3ex+4

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A: We have to find the balance at the end of 17 years.