(b) let ( X, Ź M) be a mea Sure pace for A, BE E Show that MLAUB) = MCA) + M(B) MCANB)

Q: FIND F'): a. (ax+)*

A: TO FIND: f'(x)

Q: Given f(x) = 2x^3 + 1

A: Given - A function To Find - Its derivative by using difference quotient method

Q: Can you find the stationary points of V and classify each of them by using the 2nd derivative test?

A: Introduction: A real-valued function defined on a closed or bounded interval can have its absolute…

Q: 15 estimate, root of fa) =x²-7.

A:

Q: Evaluate the expression a+b a+b when a=23a=23 and b=45b=45. Write in simplest form

A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

Q: Given fex) End (f-')'(5) 2X

A:

Q: Let f(x) = 1. f'(2)= 2. f'(5)= 3 √x Evaluate each of the following: A

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Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: Let f(t) = 3t – 8t + 5e'. - Then f'(t) =

A:

Q: Let 7(t) = Find (t) 7' (t) =

A: Given query is to find the derivau of r(t).

Q: Let F(t) = (4t³ - 1)j + (5t+2)k. Find F'(t). 7"(t) O 288t 288t³j 05+288t³ O 36t³ +5 O None of these

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Q: 2) Find the derivative of each a. f(x) = 2tan¹(3-x³) b. y = 8in (2x + 8x - 2)

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Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: Let 7(t) = VE + 4, cos(t), te-'> (t*), te¯t >

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Q: f(t) = (t + 4t + 8)(7t¯² + 6t).

A: Given function is: ft=t2+4t+87t-2+6t-3 Then we get,…

Q: \+etari), find f.. S, and f.- xyz 3. If f(x,y,z)= hn 2

A: We have to find fx , fy , fz.

Q: f (n) + g(n) = 0(max(f(n), g(n)))

A: Big Theta notation (Θ) :  f(n) is said to be Θ(g(n)) if there exist positive constants C1 and C2…

Q: Let f(x)=x²- 3 g(x)=Vx+7. Find f(g(2)) 8 О 12 О -12 O O O O

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Q: 1) If f(x) = x²(2), find f'(2)

A: f(x)=x2∫2xdtt2+5we know  d dx(∫axf(t)dt)=f(x)×d dx(x)-f(a)×d dx(a)

Q: B) If fx) =-3x² +13 and g(x) =x'+8r-2; find the following. i) (g+f)(x) ii) Ax) - glr) C) 1) If f(x)…

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Q: Let f(t) 5t4 - 2t + 6et. Then f'(t) = =

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Q: Exercise 3. We derived Equation (10) which expresses the two 2-point DFT's DFT (ao, a2) and DFT (α₁,…

A: Given: Expressions of two 2-point Discrete Fourier transform in terms of the 4-point Discrete…

Q: Suppose f(x) = 6t²√1+tº dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

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Q: Let 7(t) = FindF (t) 구' (t) - <| Question Help: OVideo Submit Question

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Q: 5. What are the coordinates of the JNBS if J'(-2, 4), N'(3, 5), B'(2, 3), and S'(0, 2) after R(90".…

A: Given: J'(-2,4) , N'(3,5), B'(2,3) and S'(0,2)

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: Use the linut definition to Compute f(x) when f)-at. the derivative f(x) when f)-2+L

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Q: Suppose that S(m)3(4#-4)*(32+ 1). Find f'(#), and then evaluate f' at # = 1 and # = -1 (1)= 1(-1)=

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Q: Find the derivative of the function y=In{x√x² +11). O 1) 1 0 21 O 3) O4) 1 -+ x √√x² +11 X x+√√x² +a…

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Q: If f(t)=(t^2+6t+2)(7t^2+5). find f'(t) and f'(4)

A: Given: f(t)=t2+6t+27t2+5

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.