Let f(x) = √√x+3 and g(x) = 6x − 2. Find each of the following composite functions and state the domain: (a) fog (b) gof, (c) fof (d) gog

Q: Use the information in the following table to find h' (a) at the given value for a. x|f(x) g(x)…

A: Step 1: Understanding the ProblemWe're given:A table of values for functions f(x), g(x), and their…

Q: Evaluate the following integral. x/6 S tan 2x dx x/12

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Q: dx Y+2 h dy x + Z " dz X+Z find three Soultion indepared

A: Approach to solving the question: To solve the system of equations: y+zdx​=x+zdy​=x+ydz​ we equate…

Q: Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]

A: Approach to solving the question:To find the Fourier expansion of  f(x)=eax in the interval [−π,π],…

Q: Find f[g(x)] and g[f(x)]. f(x)=√x+4, g(x) = 18x² - 13

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Q: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

A: Since R(x) is a polynomial with real coefficients, its complex roots must occur in conjugate pairs.…

Q: Find: lim x →-6 f (x) limx-4 f (x) lim x-1 f (x) lim x →4 f (x) (-6,3) • (-1,5) -8 -7 (-6,-2) 4+…

A: Step 1:Step 2:Step 3: Step 4:

Q: Please refer below

A: First, we need to find the composite function f(g(x)). This is done by substituting g(x) into…

Q: The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up…

A: To find the Fourier series of the given 4-periodic function f(x), we need to:Define the piecewise…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 4 Consider f(x) periodic function with period 2, coinciding with (x) = -x on the interval [,0) and…

A: Step-by-Step Detailed SolutionYou are given a periodic function f(x) with period 2π, defined as:f(x)…

Q: (1) Write the following quadratic equation in terms of the vertex coordinates.

A: The vertex form of a quadratic equation is y = a(x − h)2 + k, where:(h, k) is the vertex of the…

Q: 7. The concentration of a drug in a patient's bloodstream h hours after it was injected is given by…

A: Detailed Explanation: Problem: The concentration of a drug in a patient's bloodstream h hours after…

Q: find the zeros of the function algebraically:   f(x) = 9x2 - 3x - 2

A: The given function is a quadratic function, which can be written in the standard form ax^2 + bx + c…

Q: Solve the initial value problem. dy +5 -2(x+5x)y= (x+5)- dx x+5' x> -5, y(0)=5

A: Given Initial Value Problem:(x+5)dxdy​−2(x2+5x)y=x+5ex2​,x>−5,y(0)=5.  Step 1: Convert to…

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Q: Good Day, Kindly assist with the following query. Regards,

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Q: "I have written solutions in text form, but I need experts to rewrite them in handwriting from A to…

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Q: 6. Researchers who have been studying the alarming rate at which the level of the Dead Sea has been…

A: Given FunctionThe density of the brine is given by:d(x)=1.66−0.9x+0.47x2where x represents the…

Q: EXAMPLE 3 Find S X √√2-2x2 dx. SOLUTION Let u = 2 - 2x². Then du = Χ dx = 2- 2x² = 信 du dx, so x dx…

A: Question 1Explanation:   Question 2or,  ∫1+25x2tan−1(5x)​dx=101​(tan−1(5x))2+C

Q: ~ exp(10). A 3. Claim number per policy is modelled by Poisson(A) with A sample x of N = 100…

A: (i) A Priori Estimate of the Number of Claims per PolicyWe are given that the prior distribution for…

Q: 2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.015. Use the Trapezoidal Rule, the Midpoint Rule,…

A: Approach to solving the question: Let's break this problem down step by step. The given integral…

Q: 53,85÷1,5=

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 4 4 +…

A: The given function is:y=4x4​+8x21​ The formula for finding the arc length of a curve in rectangular…

Q: Calculus lll  May I please have the solutions for the following exercises? Thank you

A: Ans(a):Ans (b):Ans (c):

Q: The 60-lb collar A can slide on a frictionless vertical rod and is connected as shown to a 65-lb…

A: I hope this is helpful.

Q: Question 15 ✓ 6 pts 1 Details The function shown below is f(x). We are interested in the transformed…

A: Now, let k(x)=3h(x)=3f(2x).The graph of k(x) will obtain by stretching the graph of h(x) 3 times in…

Q: - 2. In words, interpret the inequality |x8|> 7 the same way I did in the videos. Note: the words…

A: The inequality means that the distance between x and 8 is greater than 7. In other words, x is more…

Q: Solve the following heat equation by method of separation variables: ди = at subject to u(0,t) =0,…

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Q: Find f[g(x)] and g[f(x)]. f(x)=√√x+5, g(x) = 12x² -

A: Approach to solving the question:Please see attached photo for detailed solutions. Thank you.…

Q: Question 8 Find the domain of y = log(62x). The domain is: Question 9

A: If you have any questions let me know in the comment box ,I hope you will clearly understand my…

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Q: #15

A: Growth Rate=Change in Weight​/Change in Time (months)Part (a): Between 12 and 18 monthsWeight at 12…

Q: Find g'(x) for the given function. Then find g'(-3), g'(0), and g'(2). g(x)=√√7x

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Q: Graph y= log(x − 1) +4 10+ 9 8 7 6 5 4 32 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -1 6 7 8 9 10 -2…

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Q: 4. Evaluate the following integrals. Show your work. a) -x b) f₁²x²/2 + x² dx c) fe³xdx d) [2…

A: Step 1:Step 2: Step 3: Step 4:

Q: Find the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of…

A: Step 1:Step 2:Step 3: Step 4:

Q: Total marks 15 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima…

A: 5 (i)(ii)6(i)

Q: Draw the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least…

A: Step 1: Step 2: Step 3: Step 4:

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A: QUESTION 1: x-coordinate when the ball enters the green Step 1: Find the equation of the circle…

Q: The expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14…

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A: Key Concepts:Tangent and F'(X):The f'(X) curve represents the slope of the curve f(x) at any point…

Q: Total marks 15 3. (i) Let FRN Rm be a mapping and x = RN is a given point. Which of the following…

A: Part (i): True or False Analysis(a) If F is continuous at x, then F is differentiable at x.Answer:…

Q: ● Question 7 Solve the equation. log2(3m - 5) = log2(m +8) m n = Question 8

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Q: rmine the immediate settlement for points A and B shown in figure below knowing that Aq,-200kN/m²,…

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Q: Integral How 80*1037 IW 1012 S е ऍ dw answer=0 How 70+10 A 80*1037 Ln (Iwl+1) du answer=123.6K…

A: Step 1:GivenThe given integrals are ,(a)   I=π10−12​∫7π×10380π×103​e−5∣w∣​dw(b).…

Q: Q6 cons dy= x^" [ x + x^ (1+/mx)/mx] dx Q7) aus. In (cash/ + F Qs) AMS. 252 cosh ++c +A Q₁) aus. e +…

A: It seems you have uploaded answers instead of questions. To assist you effectively, I kindly request…

Q: Question 14 6+ 5 4 3 2 -8-2 2 3 4 5 6 + 2 3 4 -5 -6 The graph above is a transformation of the…

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Q: 8. On what intervals, each function continuous? (a) f(x) = 3x11 + 4x²+1 3x²+5x-1 (b) g(x) = x²-4 X,…

A: Step 1:Step 2: Step 3: Step 4: