Suppose that the functions q and r are defined as follows. q (x) = x²+6 r(x) = /x+1 Find the following. (2 r)(3) = 0 (ro q)(3) = D %3D

Q: Let h(x) = f(x)g(x). If f(x) = 4x² – 3x and g(x) = In(3x – 1), what is h' (x)? Select the correct…

A: The given functions are fx=4x2-3x and gx=ln3x-1. Here,  hx=4x2-3xln3x-1.

Q: 1-х 26. f(x) =- х+2 27. /(х)- Vx* - 3

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Q: 3. Verify that the following functions are solution of one of the equations in part 1 and match the…

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Q: 4. Given that (fog)(x)3= 4. and f(x) = Sx+4 9x-2 Determine g(x). Hence, find g(0)

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Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We need to derivate f(x) and g(x) to find if the given derivate is right or not.

Q: a. f(x) = e-6x about x = -4 b. f(x) = ln(3+ 4x) about x = 0 c. f(x) = – about x = -3 d. f(x) = 7x² –…

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Q: The function f(x)=2x^3−24x^2+72x−2 has two critical numbers. The smaller one equals=     and The…

A: We have to find critical numbers  First we have to differentiate of f(x) with respect to x  After…

Q: Question #3 a) Find the x-position of all critical points for f(x)= 4x' – 15x² – 18x +1 (Show work,…

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Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as a differ- entiable function of the…

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Q: 2 If f(x) = and g(x) then (g of)(x) is equal to x + 3 1 + 3x A x + 3 D 2x x + 3 2х 1 + 3x 2x

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Q: 1. Differentiate the function f(x) = (4x + 3)(2x – 5). You may use the substitution u = 4x + 3 and…

A: Solve

Q: 2. If f(x) = x-1 and g(x) = - x2+ 2 a) Find (fog)(x)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4. If f(z) is the principal branch of z3, find f'(–1– i).

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Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the…

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Q: Please

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Q: Find all critical points of the following function. 3. 3 f(x.y)=- + 8xy

A: To find critical points of f(x, y) we find ∂f∂x and ∂f∂y then equate to zero .f(x, y ) =…

Q: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: 7. Find and sketch the domain of the function f(x, y) = 2 ln(49 – x² – y²) + 8/ -

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Q: For what value of the constant c is the function f continuous on (-o S cx2 + 8x x3 – cx if x 3 с 3

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Q: If f) (E-1) and g(x) = (-1) then the function () (x) is (2z-5) %3D (2x+5) (2x-5) (2x+5) (x-1) (x-1)…

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Q: Determine

A: We will find the critical points by equating the derivative to zero.

Q: 14. If f(x)= x+4 and h(x)= 4x-1, find function g(x) such that gof =h. %3D

A: Given that , fx=x+4 and nx=4x-1We have to find gx such that got=h

Q: 0, x4. then P(2<X <4) is equal to

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. If 2. If f(x) = 5x- 3x² – 2x + 7 f(x) = x* In x find f'(x) and f'(1). find f'(x) and S'(1).

A: Given:  1. fx=5x4-3x2-2x+72. fx=x4ln x

Q: 3) Given that f(x) = 2x + 5  g(x) = 2x - 6   and h(x) = x2 - 5…

A: This is a problem related to function and inverse function. Based on the general formula we will…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, currently…

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: Find a formula for f(n)(x) if f(x) = e' -3x fln)(x):

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Q: if x 2 1. Determine the constant k such that the function f(x) = is continuous at x = 2.

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: 1/ Find the domain of the following functions : 1 1) f(x, y) = x²+y²+z²+16 2) f(x,y) = In(9 - x² –…

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Q: 4. Find the domain of the function: g(x) = Va2 – 9 + In(x² +3x – 4) + ebr=2+ 4.x + 1 1 x2 - 5x %3D

A: Given: gx=x2-9+lnx2+3x-4+e5x-2+4x+1x2-5x-1 we know that domain for x, lnx, fxgx is given by…

Q: -5-k -5 If L f(x- k)dx = 1, compute f(x)dx. %3D 3-k 3

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Q: if x 2 1. Determine the constant k such that the function f(x) = {1 is continuous at a = 2.

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Q: Evaluate: g(f(-3)) y fx) y = g(x) 10 10 6. 3 3456789 10 10-9-87-6 "5 -2 -1 2345678 9 10 -2 -4 to

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Q: Find the critical points of the following function.   f(x) = (e3x + e-3x)/7

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Q: If f(x) = 3X, then f'(x)= 3TX A In 3 3TX B In 3 1(3Tx-1) D TIN3(3 )

A: We have to solve

Q: Let h(x) = f(x)g(æ). If f(x) = ln(3x² – 2x – 4) and g(x)= = 3x – 1, what is h' (x)? Select the…

A: Answer and explanation is given below...

Q: Find the critical points of the given function. a) f(x) = √2²-4 b) f(x) = 3x + 21-1

A: To find the critical points of the given functions.

Q: (a): Find the value of k that makes function continuous at x = 4 %3D S 2x + 8 x > 4 x < 4 f(x) = 5x…

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

Q: If f(x) is Lipschitz with constant L and |f(x)| < B, then [f(x)]² is Lipschitz with constant 2LB.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 1 Given f(x) = and 2x -3 g(x) = Vx+2. Find (fog)(x) and its domain. 2.

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Q: Let f(x) = x^4 + 3x^3 − 4x^2 + 3x − 2. Find f(1.6) and f'(1.6) by Horner’s method using a table form…

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Q: Find a simple function g(x) such that f(x) is O(g(x)), where f (x) = (-5x20 + 3)(-3x² – 4x²) + 7(4x²…

A: Given, f(x)=-5x20+3-3x7-4x2+74x2-2.3xx6+4 In In x Therefore,   g(x) is also a function…

Q: 1. If h(x) = (f(x))² - (g(x))2,f' (x) = -(x) and g' (x) = f(x), then h'(x) = %3D

A: Given h(x) = (f(x))2-(g(x))2 On differentiating both sides , we get h'(x) = 2f(x) f'(x) - 2g(x)…

Q: 4. Suppose f(1) = 5 and f'(1) = 3. Let %3D 3.a-5x2 h(x) = 2f(x) +1 Find h'(1).

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Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…

Q: dæ Evaluate: æ/9x² + 4 9x2 + 4+ 2 + C V A f (x) = -4 ln 3.x f (x) = -2 ln V9x2 + 4 + 2 + C None of…

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