Find the second derivative of F(t) = (1 − 2t²)i + (tcost)j – tk. O-1-(2sin(t) + tcos(t)) - (2sin(t) + tcos(t))ĵ O-4î - (2sin(t) + tcos(t))ĵ Oî+ (2sin(t) + tcos(t))

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A: gradf =∇f =i∂∂x+j∂∂y+k∂∂zf .

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A: Answer: the solution is as shown below:

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A: Follow the procedure given below.

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A: It is given that, C(x)=7+2x+48     ,    0≤x≤50 We have to find the value of C'(8).

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Q: If f(x) = = ∞ n=0 n ∞ -2” and g(x) = Ỹ ( − 1)" mæª, find the power series of(f(x) – g(x)). n n=0 Σ…

A: The objective of the question is evaluate the sum of two series.

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A: Given  fx=ln1-x

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A: Given :∫-23x2dx    ,n=5

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A: See this solution in below

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Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

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Q: Find the partial fraction decomposition: 7x²+11x+20 x³+4x²+6x+24

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Q: 2. Let f(x) = nx² - 2x + 5 and g(x) = 6x² - 5x + m. The functions are combined to form the new…

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Q: 6.F. F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

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Q: What is the symmetry of f(x) = 2x4 - 5x² +9? Select one: a. odd b. neither O C. even

A: Solution of given question is written in below steps.

Q: Find an equation for the hyperbola that satisfies the given conditions. Asymptotes: y = x, hyperbola…

A: To find an equation for the hyperbola that satisfies the given conditions.Asymptotes: y=±x,…

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A: The given triangle has measures 22, 29 and 45°

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Q: If sin x = sin(2x) cos(2x) tan (2x) 3 7' x in quadrant I, then find (without finding x)

A: NOTE: Refresh your page if you can't see any equations. . here we have  and the angle is in the…

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A: We can answer the question as below.

Q: f(x) =l10x2 -4xI , g(x) = 9x - 6;Find (f ∘ g)(1).

A: This question can be solved using the concept of composition of function.

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Q: Consider the following function and graph. f(x) = x + 2 1 -3+ Determine whether f(x) approaches ∞ or…

A: In this question, we want to find the left hand limit and right hand limit of the function.