Given f(2) = | 1+ cos²(1) t2 + 2t – 63 -dt 1+ cos?(t) - At what value of x does the local max of f(x) occur? At what value of x does the local min of f(x) occur? - el

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: dx -= In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) A + - B 6. + 3 D + 6 + -15 -15 -15

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Q: Q1/: a: Using the relation showthat Jv2 (x) =, cos x

A: See the attachment

Q: c) Solve f(x)= -2√2 on the interval [-2,4x]. What points are on the graph of f? d) Use the graph…

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Q: (t) = sin(t+tan√t) + ln(2t+1).fnd derivative Answer:2/xsquare+1 + 4(cosx)(sinx+5)power3

A: Given, f(t) = sin(t+tan√t) + ln(2t+1) fl(t)=?

Q: dx For - = In[F(x)]+C• What is f(/3) if C = 0? (x+x³) (x Tan-'x + 1) -1 - 6. + -1 - -15 -is -is

A: Integrate ∫dx(x+x3)(xtan-1x+1)

Q: LetX∼N(7,4). (a)  Find P(6 < X ≤ 10). (b) Find ξ so that P(6 < X < ξ) = 0.1716.

A: The following information has been given: A random variable X follows normal distribution with mean…

Q: Find the fe) Timd the Sixth deituative f6 ei f) e é sixth dertvative (6) evalat evaluate at x =0 .…

A: Given Data The function is: f(x)=e-x². The point is x=0.   The Taylor series e-x is,

Q: Choose the correct graph of F(x) = 2 sin (2x+ t): 1 27 37 -1 -2

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Q: f (x) = { ₂x² (²/²) ² 2=1 Coso f(z) dz= ? 23

A: We have to calculate

Q: Prove that f(x) =- 2x(sinx+ tanx), is an odd function, where [] denotes %3D X+ 2n -3 the greatest…

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Q: 2-x Q.1 Write the function f(x)= as the sum of cosx+3x an even and odd functions.

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Q: MacB = (x),ƒ o (1)fp хр = (x),f o %3D (x)fp = (x),f O %3D xp = (x),f o = sin x, which of the…

A: To find the correct option.

Q: Assuming that the derivative of arcsin(x) is indeed 1/√1 − x2, supply the justification that allows…

A: Recall the power series expansion for 1/√(1 − x2) The same  can be written as: 1/√(1 − x2) = c0 +…

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: B. Find a root of the function f(x)=x²-x-cosx by using Fixed point method (Do five iteration and…

A: Given equation is…

Q: Show that the function f(x)= x^3 − 15 cos(pi x) + 1 has three zeros in the interval [−4, 4]. Do not…

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Q: 1 x+1 f(x)=-tg 3 3-x ·+ln(x²+x+1)-√√2x-1

A: Differentiation is defined as the rate of change of the dependent variable with respect to the…

Q: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

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Q: a) f(x) = 1+ Sinx b) f(x) = x² + 2x- 1 c) f(x) = 2* + 2 for all x eR for all x eR for all x eR

A: Given function are: [1] f(x) = 1 + Sinx   for all x ∈R [2] f(x) = x2 + 2x - 1  for all x ∈R [3] f(x)…

Q: 00 | f(x) cos axdx = S2 – a,0 2

A: Value of f(x)

Q: Esc [3] Use a first derivative test with a well written conclusion to state the local min and max…

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Q: 3. Determine the exact value of f"(0) for f(x) = (cos5x + 5x²)*.

A: Given