What is the 2nd derivative of x9 cos x

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Q: Find the derivative of the following function by first expanding the expression  f(x) = (4x +5)…

A: Expanding the expression

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A: Let's solve.

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A: The given equation is; d2r/dt2=5eti-e-tj+18e3tk.

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Q: Question Find the antiderivative of r' (t) = {√t, cos (4πt)) that satisfies the initial condition r…

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Q: Evaluate Answer: tan³ t cos4 t dt.

A: To evaluate: I=∫tan3tcos4tdt=∫tan3t sec4t dt=∫tan3t sec2t sec2t dt=∫tan3t(1+tan2t)sec2t dt

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A: Concept: The equation of the line passing from through the point (x0,y0,z0) and parallel to the…

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Q: -5 -4 3 1 2 7 1 1 -2 -3 -4 2 -5+ q Use the graph of f(x) above to estimate the value of f'(-3) to…

A: From the above graph the two points near x=-3 are approximately (-3,0) & (-3.5,0.9)

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Q: Q26 Sasha is trying to bound the error of her M10 approximation of S f"(0) = 0 and f"(T) = 0 and so…

A: We have to find part a,b and c .

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Q: 2. Find the equation y=x²-3x² of the normal line at a given point on the given curve. + 4 @ (2,8)

A: Solution: y= x4 -3x2 + 4  @ (2,8) dydx=4x3 - 6x  at x =2=32-12=20

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Q: f(x) = X-6 2 X x° + 5x − 66

A: The given function is; f(x)=(x-6)/(x2+5x-66).

Q: 388.636 x 10^19 simplify it according to rules of exponents; for example, use 2^2 not

A: follow the procedure given below.

Q: Determine the value of k such that y=4r²-3e2r is a solution to x(1-x)y"'+ (2x² − 1) y' + k (2x − 1)…

A: I am attaching image so that you understand each and every step.

Q: Sketch a graph of the function f(x) = 5 cos 6543 2 1 -8 -7n -6 -5n -4 -3 -21 -ī -1 -2 -3 -4 -5 -6+…

A: The given function is f(x)=5cos14x

Q: Q5/Solve the following ODE using Laplace transform y" - 2y' - 3y = e-2x, y(0) = 2, y'(0) = -1

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Q: DIFFERENTIAL EQUATION  UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS IN THE SAME FORMAT GIVEN…

A: Let's solve given differential equation  order,type and linearity also verify the solution.

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A: First, integrate with respect to z, with respect to y, and then with respect to x

Q: Poll 3: What logarithm rule do we us A) change of base B) In(ax) = ln(a) + ln(x) C) In(x) = a ln(x)…

A: Topic = Algebra

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Q: Can

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Q: ƒ(x) = { C = cx + 4, cx² - 4, For what value of c does lim x→→6 x < -6, x ≥ −6. f(x) exist?

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Q: In Exercises 9-12, determine the nth term of the given se- quence. 9. 4, 7, 10, 13, 16, ... 3 10. 3,…

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Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: 3. Show √4+2√3 - √3, √6 + 4√2 – √2 are rational numbers.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The expression provided is called the quotient rule True False f(a+h)-f(a) h ,h #0

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Q: Q2 Find the values of x for which the series converges b) Σ=o(x + 5)",

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Q: 11. Graph the the parent f(x) = ln x. Then use the graph of f(x) and translation to graph g(x) =…

A: Given a parent and translated function, f(x)=ln(x), g(x)=ln(x+2) respectively. We need to plot graph…

Q: Find the unit tangent vector and the equations of the tangent line to the curve R(t) = (2sint, t,…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: Complete the table to find the derivative of the function. Function y 2 7x4 Rewrite y=(0) Need Help?…

A: Topic-derivative of a function 1xa=x-addxxa=axa-1we are giveny=27x4

Q: Given f(x), find g(x) and h(x) such that f(x) = g(h(x)) and neither g(x) nor h(x) is solely x. f(x)…

A: The function is given by fx = 5x2-13-2 To determine: The expression of gx and hx such that fx = ghx.

Q: Sketch a graph of the function f(x) = 6 5 4 32 3 2 1 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 3 sin 1…

A: Topic = Graph

Q: Question d Siven r(t) = 5t¹i — 5 cos (t)j + eſtk, find — [7t³ - r (t)]. dt Provide your answer…

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Q: In Exercises 17 -28, determine whether the sequence con- verges or diverges. If convergent, give the…

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Q: T 1) Evaluate the following, if it exists: lim √√√√x+x³ cos x→0

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Q: Find the stationary points of the function y = x¹ - x³ +1. = • Use a sign diagram to classify each…

A: The given function is y=x4-x3+1. Differentiate with respect to x, to get dydx=4x3-3x2 The stationary…

Q: Evaluate: * 01 2 $ z² dz z²+3z +2 -6лi Злі inside the circle |z| = 4 4 3 -6 πἱ

A: The complex integral is given by ∮z2z2+3z+2dz Formula Used: ∮z2z-a1z-a2dz = 2πia22a2-a1+a12a1-a2 To…