True or False: If we use substitution the substitution x = tan 0, then, the integral dx V1 + x2 transforms into tan 0 sec 0 de Select one: True False

Q: :6. Bet“ dt.

A: (6). Given: I=∫t3et4dt   ...1   We know that; ∫eax+bdx=1aeax+b+C   Note; As per Bartleby guidelines ...

Q: The given integral is Te-x³(-3x²)dx. Let -x. Now differentiate u with respect to x. That gives U = d...

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 4. y = x...

A: 4 y = xcosx now fist derivative y' = x(cosx-1)cosx(-sinx) y' = (-1/2)sin2x x(cosx-1) now again diffe...

Q: (-1)n+l2nx" n2 + 3 Determine the interval of convergence of n=1

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Q: (x- 2. A tonk initially contoins 100 galons of brine whose concentration is ½ lb/gal. Brine whose sa...

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Q: Solve the differential equation (D3 – D² – 4)y = 2x² – 4x – 1+ 2x²e2x + 5xe2x + e2x - - -

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Q: x' +3x² +3x+1 (i) Find lim x→1 2x° +3x² – 1

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Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

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Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the poi...

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Q: Find the absolute maximum and minimum values of f(r, y) = r-3r-y+12y, closed region D, where D is th...

A: Given problem:-  Find the absolute maximum and minimum values of f(x, y) = x²-3x-y³+12y, on the clos...

Q: Evaluate the given integrals. 3x?dx 1. S 2х4-1 2 dx 2. S tan x(5+ln sin x) 3. Seš(6– ei)" dz 1 4. S ...

A: according to our guidelines we can answer only three subparts and rest can be reposted thanku.

Q: maximize z=8.50x1+12.10x2 subject to 2x1+3x2 <  24,000 x1 < 6,600 x2 < 5,500 x1+x2 < 10,000

A: topic- linear programming

Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

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Q: 3 2 y X-3x-x t3 From X = -1 to X= 8

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Q: ſcos (x/2) cos (x/3) dx * 3/5 sin(x/6) + 3 sin(5x/6) + C None of the choices 3/5 sin(5x/6) + 3 sin(x...

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Q: Question Find an algebraic expression equal to sin(sec- (5x + 1)). (You may assume that -5 < sec- (5...

A: We are given expression . Now,                  sinarcsec5x+1Use the following identity: sinarcsecx=...

Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

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Q: Use the second partial derivative to Find the relative extrema OF the Function f (x, y) = x°t 2xy-6x...

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Q: Maximizing Yield An apple orchard has an average yield of 36 bushels of apples per tree if tree dens...

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Q: KIDAPAWAN CITY CA sin a = 1 to obtain the limit of the following: II. Apply lim a-0 a sin5x 1. lim x...

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Q: This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter spha...

A: A)n(t)=n0 2taAt t=0,n(0)=1515=n0 20n0 = 15The bacteria doubles every four hours;At t=4 hours, 2(15) ...

Q: 1. Evaluate the integral JS aA, where R is the region: {(x,y)|0 < x < 1, –3 < y< 3] x²+1

A: To evaluate the integral: ∫∫Rxy2x2+1dA where R is the region (x,y)|0≤x≤1,-3≤y≤3.

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: 2 + x², -2 < x < 0 f(x)dx; f(x) TX + 2, 0<x<4 21 -2

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Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the ...

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Q: ex dx 8. 1+ e2x

A: Given; I=∫ex1+e2xdx   ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f (x) In(3 - 2.x) b) Fi...

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Q: Question Find an algebraic expression equal to cos (csc- (3x - 3)). (You may assume that-< csc- (3x ...

A: Let's find. 

Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: 1. Find the differential equation for the family of: 1. Circles passing through the origin with cent...

A: Topic:- application of derivatives  Note :- as per our guideline if more than one question uploaded ...

Q: 7 - 7 cos (x) + 3x? Evaluate the limit: lim 10x2 Answer: Submit Answer

A: Please see the solution below.

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: EXERCISE Find the slope and the equation of the tangent line to the following functions at the given...

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Q: Evaluate the iterated integral. /2 x. 4 cos (x + y + z) dz dx dy

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Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

A: Solve the following

Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: 3.) 124-1|dx Evalnate: dt given taat Ina = 9 Evalmate t

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Q: substitution x = tan 0, then, the integral dx 1 + x2 transforms into tan 0 sec 0 d0 Select one:

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Q: Derivative of T Determine the derivative of 1. y = 100 cos 3x 2. y = 5 tan (6x - 1) 3. y = 12 cot (-...

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Q: If x + y = 0 and x # 0, then what is the value of x 2007 y 2007 O -1 O 2 O 1

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Q: 4- x Find the equation of the tangent line tof-l at the point P (G, 1) for f(x) = x+1 Provide your a...

A: Topic:- application of derivatives

Q: To evaluate the integral / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0...

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Q: Find a power series representation for the function. (Center your power series representation at x =...

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Q: Choose from these statements. The proof starements in correct order. Let (2, y) satisfy R and (y, z)...

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Q: Find the solution of y" +10y +25y = 49 e with y(0) 8 and y' (0) = 5.

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Q: ( 2 + x², -2 < x< 0 4 1. f(x)dx; f(x) = 5x + 2, 2 0 <x< 4 -2

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Q: (a) f(x) = (3x² – 1)/T +x/4 (b) y(x) = r-1 r³+2 (c) g(t) = [(t³ + 4)(t² – 1)]/

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

A: ∫ xn dx = xn+1n+1 +C ∫ab f(x) dx = ∫ac f(x) dx + ∫cb f(x) dx , where , a&lt;c&lt;b.

Q: Write TRUE if the statement is correct, otherwise, write FALSE. If your answer is false, provide a c...

A: To answer the given question about continuity and differentiability.