What is the second derivative of f(x)=x^2lnx

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

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Q: Use a sum or different formula to find the exact value of cos285

A: sum formula cos(A+B)=cosAcosB-sinAsinBnow285=270+15A=270, B=15and we know that sin15=6-24 

Q: Evaluate the iterated integral | (a+ 2y) dyda. Give your answer correct to 2 decimal places.

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Q: (y+ /x²ty? )dx- X dy = 0

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Q: Question Select your answer. 1 if r 4 4 16 does not exist 2 Answer

A: Topic = Limits

Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = ecos x

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Q: |r+7| 9. b. lim r-8- x2 + 7x -8, x + 8

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Q: If x= (5,-1,2), y=(1,-1,1) then x × y is

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Q: Given: sin A= { and A is in the second quadrant; evaluate the following expression. cos 20 = %3D -7/...

A: cos2θ = 1-2sin2θ

Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: cos( + B) = O V2(cosB + V3sinB) V3(cosB - V2sinB) O V2(cosB - V3sinB)

A: Value of Cos(π/3 + B) will be

Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

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Q: Given: sin A= and A is in the second quadrant; evaluate the following expression. %3D tan 20 = 4V5 -...

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Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg dec...

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at 12c...

Q: y2)dx = xdy when X2 ; Y- 3

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Q: 2.5.042. Find the derivative of the function. s(t) t2 + 8t-5 %3!

A: Topic:- derivatives

Q: ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

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Q: Activity x -1 a. Find lim f(x) if f(x)=. x+1 b. Complete the table of values. -2 -1.5 -1.1 -1.001 -1...

A: Limit  and function values 

Q: Use the difference an+1 - an to show that the sequence {n – 9"t0 Sn=1 is strictly increasing or stri...

A: Topic   Function decreasing and increasing  Given function is strictly decreasing.     

Q: 9.) f@)= 3x 2x + 4 at a point where x 0 10.) fx) = (x + 1)' at a point where x = 1

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

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Q: 7) Find dy/dx. Given: (2x + y)' - %3D 8.) Find dy Given: xy =1 xp %3D

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Q: In the decomposition a = aTT + aNN, what do aT and aN represent?

A: Tangential and normal component of Acceleration : Suppose that r→(t) is a smooth parametrization of ...

Q: A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes ...

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Q: Give linearly independent functions that are annihilated by: D5 (D- 2) (D + 3) D2(D2 – 2D + 10)

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Q: x (2x+3) f(x) = (x² +1)*

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Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: A baby rabbit moves 5 inches forward with each hop and his mother moves 14 inches forward with each ...

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Q: sin 20 + cos 20 = cot x tan x

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Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is =2...

Q: Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4.

A: The shortest distance of a point from a plane is said to be along the line perpendicular to the plan...

Q: What are the roots of the auxiliary equation corresponding to the DE 6y"+11y"-y'-6=0? Write the gene...

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Q: dy for: (x + y) = x – y + 8 da 1. Find 2. If a ball is thrown vertically upward with a velocity of 8...

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Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: The Ideal gas law is given by the equation: pV = nRT where p = pressure, V = volume, n = number of m...

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Q: 9) lim メフ16 ス- 16 4-ra

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Q: (0 -20 +2) y - 24esin 3x when x=0,y-0,y'=0

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Q: 3 tan x cos x cot x = _______

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Q: Compute the discriminant D(x, y) of the function. S(x, y) = x' + y* – 6x – 2y + 1

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Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: Given the functions below, find B. (P +Q+R+M+ N) u= 4- Vw +1 du Pw + Qw +3+R/w? +1 u" or dw 9u" (w +...

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

Q: sec®(x) dx S V cot(x V cot(x)

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Q: Find the derivative of the function. h(t) = (t5- 1)(312-5t-2) %3D

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Q: Find dy/dx and d²y/dx2. x = t?+ 3, y =2 + 7t 2t +7 dy dx %3D 2t 4t – 2( 2t + 7) dzy dx2 For which va...

A: We have to find dydx and d2ydx2.                                              x=t2+3, y=t2+7t

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. d, In (n² + 5) –...

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Q: Given: cos a= -, sin B=, aand Bare second-quadrant angles; find cos(a - B) 117/125 3/5 4/5

A: We have to find the cosα-β Given    cos (α)=-2425 , sinβ=35

Q: 20. DETAILS LARAPCALC10 2.7.021. Find the slope of the graph of the equation at the given point. (If...

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Q: 3. Let an be the sequence defined by a1 = 1 and an for - ... n > 1. (a) Calculate the first four ter...

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Q: cos² x d.x 4 sin* x 2.

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