use second derivaictive to find derivaitve 1 Crihalralues -3 and I (-a3) V(I, I'ntervals ofinerease Interals of deerease (-3,1) Ideintihy maxmunsaspoints minimums as points Use second de riva chive toideuhify iatervals where fa) is concave up. use second deriviuhve to rdlahfy intervals uhere fx) is concavedown any inflechon pouts

Q: Evaluate * cos (e + a?) dx 24 +1

A: To find: The integral ∫44cose3x+x2x4+1dx Concept used: ∫aaf(x)dx=0

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Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

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Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x-...

A: Let's find. 

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Q: +00 n Σ n² + 2-n n=1 WI

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A: Given problem:- Determine the values of a, b, and c such that the cubic function f(x)=ax3 + bx2 + cx...

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A: As per bartleby guidelines we only give first question answers. 

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Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

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A: Let's find. 

Q: Differentiate y = 4sin (x) + 11x and evaluate y (0). Enter the value y (0) in the box and upload you...

A: topic - derivative of a function

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Q: Solve the inequality. x-2 < 0 X+1

A: Given,            x-2x+1&lt;0

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Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: 2. 5x 2 -4 [4, o) )(-00, 1] or [4, o) D[1, 4] )(-0∞, 1]

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Q: 1.5 (0,7, 0.2y f0.7,0.2) O5 ー15 - O.5 0.5 1.5 -0.57 (-1,2,-1) -15 -2

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Q: 17. Multiply. 2(Ax - 65) 18. John has a piece of rope. The rope is 144 inches. He cuts the rope into...

A: Please see the answer below.

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Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

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

Q: 10. x= cost; y = sin't

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Q: (1x) +3 . Is-3 Check the continuity of f(x) ={-2x , -3 <x< 3 12 3 (6x + 2 ,

A: Here we have to check the continuity of the given function f(x).

Q: The expression below is an evaluation of which integral? * 6x + 3 ln|æ – 2| – 18 ln|æ + 4| +c 2x2 – ...

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Q: Determine whether the definite integral converges or diverges and evaluate it if it's convergent im...

A: ∫0∞ xx+1dx

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Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: A solution to the trigonometric equation 2 sin² x = 2 – - V3 cos x i. 90° ii. O° iii. 30° i only i a...

A: Given: 2sin2x=2-3cosx   As we know that; The Pythagorean identity; sin2θ+cos2θ=1    

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: Question 7 4dy Evaluate the integral ; 5y +2 (A In|5y +2| +C 5 (B -2미by+ 리 + C In|5y +2| + C (D In|5...

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Q: Exercise 7. Let (1 3 0 A = 30 1 0 1 1 1. Find the eigenvalues and associated eigenvectors of A. 2. C...

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Q: IV. Problem Solving: A. Write the expression as a single Integral = xp(x)f S +xp(x)fT 2. f f(x)dx – ...

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Q: Let {an}n=1 be a convergent sequence such that a1 = v5 and an+1= /5an Compute lim an

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Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a) Expr...

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:...

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Q: Evaluate the integral .8 xV x+1 dx

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