1. Calculation of derivatives: Show that cos' z = – sin z, sin' z = cos z by using definitions (a) of derivatives. az + b (b) Calculate f(z) = a, b, c, d E C,ad + bc. cz + d'

Q: Complete the following truth table PQ P=Q Q=P_ (P=Q) ^ (Q = P) T T T F FT F F

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Q: a. Find the solution by graphing. b. Check if the point (F-16, F+4) is a solution for the system.

A: This is a problem of linear inequality, system of equations.

Q: .f(x) = x10 – x5 +3; a=2, n=5 %3D

A: We can solve this using Taylor series formula

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Q: 2) In your own words, explain when you need to use the chain rule. Demonstrate with an example.

A: The chain rule is used to find the derivative of the composition of two functions .

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Q: y = Ce- 2 + C2e3

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Q: er the following: The memE 1, A, T, H. The following tabl Number of votes 18 12

A: consider the table as given below number of votes 18 12 5 3 2 2 first choice H(4) T(4) M(4) A(4...

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Q: E. Solve the differential Equotions O Czxy + xIn3x)dy + xtyJdx *0 (2xy + xIn 3x)dy+ (xty) dx =0 (3 w...

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Q: are 2, 1, -3 аre he third eigen

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Q: 9. 4m Vm Vm 3 2 vm + Vm Express in the form Am +B, where A and B are integers to be found. 5

A: Solution

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A: We have to find the linear approximation for given function at x=1

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A: a. the critical points are the points where the derivative is zero or undefined. The given function ...

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A: Newton Raphson Method:- For a function f(x) xi+1=xi - fxif'xi; i=0, 1, 2,....   Given equation is 2x...

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Q: Let A be a subset of some universe U. Prove that AN A° = Ø.

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A: Note- “Since you have asked multiple question, we will solve the first question for you. If you want...

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Q: 36. Let the universal set U = {r |x is a non-negative integer}. Let A = {r EU|x is divisible by 6}, ...

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: 4. Simplify the following: Note: m=7 n=8 (x³ y4 z=7)(m+4) x" Vy4 z? (x³ y)0 x yz x³ y-2 z7

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Q: fomily of pone - members of the formily. Find the differential cquotion of te Curves ck scribed. Dra...

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Q: a) Find a basis for the null space of A b) Find a basis for the row space of A c) Find a basis for t...

A: Introduction: Assume A is an m by n matrix. The space spanned by A's rows is known as the row space ...

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A: Use the identity cosα+β=cosαcosβ-sinαsinβ Use tan2x+1=sec2x to find cosine function. Use cos2x+sin2x...

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