Suppóšé thất thế fuñčtións h and f are defined as follows. 3 h (x) = x#0 8x f (x) = 7x-3 Find the compositions h °h and f of. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the (4 [| •h) (x) = ? (6os)(x) = ] Olo

Q: Given f''(x) = - 4 sin(2x) and f'(0) = 3 and f(0) - 3. - Find f() T 4

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Q: Consider the following functions. f,(x) = cos(2x), f,(x) = 1, f(x) = cos²(x) g(x) = c,f,(x) + c,(x)…

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Q: If f(0) = 0 and f"(x) exists for all x>0, then show that %3D f(x) f'(x) xf"(5), 0 < § < x. Also…

A: Let's find.

Q: Let f and g be differentiable functions such that f'(0) = 3 and g' (0) = 7. If h(x) = 3f(x) - 2g(x)…

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Q: The function f(æ) has a continuous second derivative, and it satisfies f(8) = 0, f'(8) = 0 and f"(8)…

A: Answer is- Option C is correct

Q: The domain and the range of z=cos-¹(x²-y-3) are represented respectively by OA. D={(x,y) ERXR: x² ≤…

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Q: 3. Find all values of a, b, c so that the following function is continuous for all values of x x-1…

A: Please see the below picture for detailed solution.

Q: if g(x)  = x Sin-1(x/4)  +  √(16 - x2) , find g'(2)

A: The product rule is used for the LHSwhere as power rule  for the RHSg(x) = x sin-1x4+16-x2g'(x)…

Q: 1. For the given functions f(x) = vx – 1 and, g(x) = x2 + 3x + 1 find the indicated composition. %3D…

A: Explanation of the solution is given below...

Q: 2. The limit of the following function equals: a. 0 b. 1 c. -1 d. None of the above answers x2/3 +…

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Q: The domain for the function ex y = x ln(3 - x) is {x/x 3} O

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Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find.

Q: Given a periodic function -x, -L<x<0 { f(x)= x, 0<x<L f(x+4) Therefore L = 4.

A: Given function is fx = -x, -L&lt;x&lt;0   x,   0&lt;x&lt;Lfx+4

Q: Which of the following functions passes through the point(0,12) and satisfiesf"(x)= 8? (A) f(x)= 12x…

A: A) f(x)=12x+8 so f'(x) =12       (×) B) f(x) =8/x so  f'(x) = -8/x2       (×) C) f(x) =8x+12 so…

Q: L=2-36X, y'co) =5, and ylo)=S x)

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Q: Given a function f(x,y,z) = (x+10) In (5y - 6) sin (5z). Find the domain of the function.

A: To find domain of function

Q: Find a point e satisfying the conclusion of the MVT for the function y(x) = 2e* on the interval [0,…

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Q: In evaluating 4 2 2 dx x√√x²-4' is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

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Q: The periodic function with L=2 is presented as f(x)= 0 if -1<x<0 and f(x)= x if 0<x<1. Find the…

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Q: If f (x) = (-2x)tan- (x³), what is f' (x) ? o f'(x) = –2(3x³ + tan¬1 %3D t3 o f'(x) = 2 ( - tan-!x'…

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Q: Got stuck on this problem! Please help, thank you.

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Q: e* – 4 , x< 3 - Let f(x) =- cos(x) %3D x2 3 lim f(x) = x 3 O DNE e3 – 4 - O 3 O cos (3)

A: Here we have to find the limit value.

Q: Find the nth Maclaurin polynomial for the function . f(x) = cos x, n = 4

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Q: If 1 1. f(x)dx = n(x) - tan(x) - 4² + x² + 6x + 0 4e C 3 then find f(x)

A: We can find f(x) as below, by finding the derivative.

Q: Given the relation x³z² + sin(3xz - 2y) - 3√9+7x3 = 5y -23 implicitly defines z as a differentiable…

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Q: Given that f(x)× ₂(x)= even function. If (x) is an odd function, therefore the correct f(x) is f(x)…

A: Given: The product of f1x and f2x is an even function. f1x is an odd function. To determine: The…

Q: Given f (x) = sin (z) and g (x) = x, the graph of the combined function h (x) = f (x) g (x) most…

A: Given  f(x) = sin(x) and g(x) = x

Q: 2. Given f(x) = Vx and g(x) =5 -x. Find a). (fo g(x); b). (go f)(x) and give the domain for each…

A: Given f(x)=√x and g(x)=3√(5-x)

Q: Given f(x) = cos(x) - 2x² + 3x - 1, then f"(0) is equal to- Ο -5 Ο Ο Ο Ο Ο Ο -3 Ο -1 None of them O

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Q: b) Solve the limits of the following expressions. x3+8 lim x→-2 x+2 iii) sin?x iv) lim x→0 3x2 '

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Q: 2. The limit of the following function equals: a. 0 b. 1 c. -1 d. None of the above answers x2/3 +…

A: See this solution in.

Q: If f  is a quadratic function such that f(0 )=1 and   integral  f(x) / x 2 (x+1) 2 dx    and is a…

A: Given: If f  is a quadratic function such that f(0)=1 and   ∫fxx2 (x+1)2dx is a rational function To…

Q: If f : (-a/6, t/6) –→ R is defined by f(x) = 2* tan(3x) for every x E (-–1/6, t/6), then f'(0) is

A: Given: A function is defined as fx=2xtan3x for x∈-π6,π6 To find the value of f'0.   Differentiate…

Q: Consider the following functions. 1,(x) = 6, 1,(x) = cos?cx), f3(x) = sin?(x) g(x) = c,,(x) +…

A: See the attachment

Q: Given: f(x) = /x+2 and g(x)= n (1-x²). Find the equaton for f(g(x)) A) f(g"x)) = V1-evi -25xs-1 O B)…

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Q: 4. Let f(x)= 5Vx and g(x)= 4 + sin x. (a) Find (f ° (x) and (f ° g'(x). (b) Find (g ºf)(x) and…

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Q: 1. Find the domains of the following functions. x2 - 2x 2.x-3 (a). f(x) = (b). f(x) = (c). f(x) = 3…

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Q: Suppose that h is differentiable and h(x + y) = h(x)h(y). Find a formula for h'(x)consisting of a…

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Q: 19 a What is the domain of g (x) = sin-x + sin- V1 - x2? 1 b Show that g'(x) = Vī 2. | c Hence…

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Q: cos(3x) if x 1 5 if x = 0 or x = 1 hen f has removable discontinuity at A) x = 0. B) x = 1. C) x = 0…

A: We will solve the following

Q: 2 The difference between the greatest and least values of the function is 2 2 - f(x) = sin 2x- x on…

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Q: 1. Suppose f(T/3) = 5, f'(T/3) = -3,and g(x) = cos(x)/f(x). Find g' (T/3). Give an exact answer.

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Q: Given f''(x) f(0) = - 4 sin(2x) and f'(0) = 3 and 3. - Find f(G) ||

A: We will solve the problem

Q: Suppose that f(x) = 0.5 cos x for -T/2 -"/4) %3D e. Determine x such that P(X < x) = 0.95

A: Solved below

Q: Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure. a =…

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Q: 2. For g(x) = cos³ (2x - 1), find g' (#). %3D –

A: topic - derivative of a function

Q: 19. Any rational function of the form f(x) where b 0, always has a y-interce %3D

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Q: 1) the Maclaurin term of degree two for f(x). a) b)

A: The solution is : (As per rules we can solve only one question.)

Q: 1) Find the absolute maximum and minimum values offon the given closed interval, and state where…

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