1. Use the definition of differentiability to find the first derivative of the function f at a point c given below. a. f(x)=√x at CER* b. f(x) = cos x at CER

Q: 12' 191 15 10'

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Q: #3. Prove that 2 = tan [ = log (T_-_ iz)

A: To Prove:z=tan1ilog1+iz1-iz12.

Q: Please solve, first image is part a and second image is part b

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Q: (2) Find the Fourier series for the func f(t) -T 0 T

A: Since there is more than one questions, find the solution of the first one.

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A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

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A: The given expression is F(x,y)=x¯+y. The sum of the product of expansion can be obtained by the…

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A: From the given information to find:

Q: For the transition matrix P = 0.1 0.9 0.3 0.7 solve the equation SP = S to find the stationary…

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Q: Count the number of permutations of the letters in MISSISSIPPI.

A: Number of permutation in given word is =Factorial of total number of lettersProducts of factorial of…

Q: Find Least Squares Solution. 9 2b + 4c = -3 -за - 36 - Зc = 1 9-46+2c= -5 1

A: Given that a-2b+4c=-3-3a-3b-3c=1a-4b+2c=-5-a+2b-5c=2 Compare to Ax=b Where A=1-24-3-3-31-42-12-5 and…

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Q: Consider the set an (-1)+1 "¹(1). (i) Write the subsets S2k and S2k-1 of Sn explicitly in…

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Q: 3. Determine the Laplace transform of f(t) = uz(t)(t − 3)³e²−3.

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Q: Find the probability of going from state C to state A in three trials, given the transition matrix P…

A: The probability is the state C to A...is

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Q: ber} c) = V52 − 3 -

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Q: 5. Find parametric representations for a) the portion of the cone z = √√x² + y2 inside the cylinder…

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Q: Let P3[x] be the vector space of all polynomial of order at most 3. Suppose that B = { 1, (x-1),…

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Q: Four partners (Alonzo, Brenda, Camille, and Donald) are dividing a parcel of land valued at $240,000…

A: Total Value Of the Land Parcel =$240,000   s1 s2 s3 s4 Alonzo $70,000 $50,000 $50,000 $70,000…

Q: Complete parts (a)-(c). X y 1 2 -2 -1 O Linear O Cubic 3 4 0 1 5 5 6 14 d *** a) Find a cubic…

A: Given data, X Y 1 -2 2 -1 3 0 4 1 5 5 6 14 Scatter plot:

Q: 2. Find 52019 (mod 13).

A: Here,given  52019(mod 13)Now we find 52019(mod 13) using Chinese Remainder Theorem and Fermat's…

Q: Suppose that f(x, y) is a smooth function and that its partial derivatives have the values, fz(-1,…

A: Given that, f(-1,-3)=-4; fx(-1,-3)=-5 and fy(-1,-3)=3. Now find the following:

Q: 2. Evaluate the function for the values of x = -6, 2, and 3. 12-9x if x≤0 f(x) = x² + 3x if 0<x<3 4x…

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Q: Complex analysis question involving maximum principle:   Let f(z) = e^(2z), find the maximum of…

A: Let us denote the given region by D. Then D=z∈ℂ: Re(z)≥0, Im(z)≥0 and Re(z)+Im(z)≤1. We have plotted…

Q: (¹ x sin(4) dy = (y sin [2)-1]dx. ; YLE) = x

A:

Q: Let τ be a linear operator R5 on with minimal polynomial mτ (x) =(x2 + 1)(x2 − 1). Find the rational…

A: Since the minimal polynomial of τ is a product of distinct irreducible factors, we know that τ is…

Q: A pair of dice is rolled. Find the probability of rolling (a) a sum not more than 11, (b) a sum not…

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Q: A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a…

A: t 2 4 9 16 21 24 28 V 300 456 1104 2268 2760 2868 2940 Here,         t represents the number of…

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Q: 5. If f(t)= +1, -< t < 0 -1, 0<x< T & f(t) is periodic over 2π then find the Fourier series of f(t)…

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Q: 1. Fully factor f(x) = 4x²³-7x-3 given that (2x+1) is a factor of thal

A: Given that the function fx=4x3-7x-3 Given that 2x+1 is a factor of fx  .

Q: Determine the inverse Laplace transform of the function below. 65+24 2 S+6s+13

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Q: Find the sum 3 + 6 + 12 + 24 + ... + 3(2)^10

A: The given series is 3+6+12+24+...+3(2)10.

Q: The Leslie matrix below describes a female cheetah population with four age groups consisting of…

A: c=0.62 (a) The population dies out because the long term growth rate c is less than 1.

Q: (1) Q1 MULTIPLE CHOICE One answer only Let f [0, ∞)→ R be continuous. Which of the following…

A: We show that option b is the correct choice rest are all false.

Q: L'O 7 út LO w ea e 2 4 The above is the graph of the derivative f '(x). How many critical points…

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Q: (a) Calculate the exact length of the curve r- 1-sin0 for 0 ≤0 ≤ 2.

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

Q: Write an equation for the function graphed below -7-6-5-4-3-2-1 y = 4+ 3- 3 4 5 6 a

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Q: 1. (a) How are the functions e², √sin z, log z defined? Which functions here are multiple- valued?…

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Q: In an attempt to predict the growth of the population of the U.S. biologist studied census records…

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Q: Find the inverse of the given matrix, if it exists. Use the algorithm for finding A¹ by row reducing…

A: The given matrix A=102-414-334. We have to find the inverse of the given matrix.

Q: Find y as a function of a if y(0) = -2, (0) = 9, '(0) = -62. y(x) = y" - 4y" -y + 4y = 0,

A: Given that y''' -4y'' - y' + 4y = 0 ,   y(0) = - 2 y(0) = 9 '(0) = -62.

Q: z-i) in the following (6) 1 <시리 <2 (C) r

A: