2.12.8: Explicit formulas for compositions of functions. The domain and target set of functions f, g, and h are Z. The functions are defined as: f(x) = 2x + 3 g(x) = 5x + 7 h(x) = x2 + 1 Give an explicit formula for each function given below. (c) f ο h

Q: Find C1, C2, and C3 so that the given functions will satisfy the prescribed initial conditions.

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Q: Let f(x) = (x - 1)2, g(x) = e-2x, and h(x) = 1 + In(1 - 2x). (a) Find the linearizations of f, g,…

A: Given:

Q: EXERCISE 1. Find equation 2. For the E different- Xフ5 -h (x 5oɔ 9-T)(XUIS h+ X) =(x) J () a) f(x) =…

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Q: Theorem 9.6.4 The function V(x, v) = ar + bxy + cy is positive definite if, and only if, a> 0 and…

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A: The given function,   fx,y,z=xe2y+ye3z+ze-x

Q: How to solve this problem ??????

A: Solution: dPdt=5P1-P5000 dPdt=55000P5000-PdPdt=-11000PP-5000Apply integration∫dPdt=-∫11000dt

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Q: 3 Given k ER, the function f(x, y) = (k +1)x² + ky? + 4zy admits %3D (A) a maximum point, if k = 0…

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Q: 5. Find the linearization, L (x) f (a) + f' (a) (x – . a) of the given function "f" at "a". %3D - f…

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Q: The fixed point/s of the function g(x) = In(e²* – 3e* +3) + x on [0,1] is / are: Select one: O a.…

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Q: 2. Given measured data 1 -1 2 Xi 0 -5 -2 Yi -3 -15 39 -9 what should be f(3) if (a) (: is) Yi f(x;)…

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Q: If c is a critical number of function , and if f" (c) < 0, then which of the following statements is…

A: To solve the following problem

Q: 15.8 Consider the equation x³ + 3y² + 4xz² – 3z²y = 1. Does this equation define z as a function of…

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Q: Where, if any, are there relative maximum or minimum values of the given function? f( x) = 5 x-2x…

A: Topic - points of relative minima and maxima All crtical points of function are points of relative…

Q: $ 1.4 List all lôcal extreme points of f. O Separate Vour points (x

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Q: Exercise 4.3: Use the Newton Raphson method to estimate the root of the function e-X = X employing…

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Q: The function f has a local/ relative minimum value when x= A 2 B) 2 c) none of the given choices E

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Q: 7.15. Show that if h : R? → R and f = 2h3 + ih is an entire function, then h is a constant.

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Q: The function f(2) = 2 a – 15 a2 +24 a +4 restricted to the interval |-5,5] has a global maximum at O…

A: Given function is fx=2x3−15x2+24x+4 Differentiate fx=2x3−15x2+24x+4 with respect to x, we get…

Q: -4 Find the linearization L(x) of the function at a. 3. f(x) = /x, a = 4

A: fx=x=x12 f'x=12x12-1=12x-12   At a=4,  f4=412=2 f'4=124-12=1212=14

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Q: find the values of C1 and C2 so that the given functions will satisfy the prescribed initial…

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Q: Define analytically the periodic functions shown. 1 f(x) 2 2 4 6 8 -1

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Q: 4. Find C1, C2, and C3 so that the given functions will satisfy the prescribed initial conditions.…

A: y(x) = c1ex+c2e2x+3ex  y(0) =y'(0) = 0  We have to find c1 and c2 . Note: According to Bartley…

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A: Given : f(x) = (2x2-1) ( x2 + 3 ) x2 + 1 Derivative of f(x) with respect to x is given by,  f'(x)…

Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions…

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Q: For a E [-12, 15] the function f is defined by f(1) = 2°(x – 8)5 On which two intervals is the…

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Q: 10

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Q: Зх-4 (5) Let f(x) x E [-2,2], find the absolute maximum and minimum x²+1 values of f(x).

A: We will find out the required value.

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Q: Consider the following. h(x) = ex2 − 4   Find  h '(x)  . h '(x) =        Solve  h '(x) = 0  for x. x…

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Q: 4. Given function f (x,y)=e-(x° +y"), and classify them into maxima, minima and saddles. then find…

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Q: Suppose that we don't have a formula for g(x) but we know that g(1) = -4 and g'(x) = V x2 + 15 for…

A: g(1)=-4, g'(x)=x2+15 Finding the value of g '(1) g '(1)=12+15=1+15=16=4

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A: Definition used -             Trigonometric function -                         y = Asin(kx)+C or y…

Q: The Wronskian of the given function (e2x, e*/2 ) is 5x 3 e z

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Q: Question * A natural cubic spline S(x), for a function f (x) is defined by x2 ax3 4 2' 1<x< 2 3 S(x)…

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Q: 1 Given f(x)=³-57² +24r, which of the critical number found in the previous number is f(c) a…

A: You must have an idea about to how to find relative maximum or minimum using critical points.