dx Using Trigonometric Substitution 3 sin e+C. 3 express the answer in terms of x. (x² + x + + x+1) 4/3 +C 6 x2 + x+ 1 4x + 4 + C 3x2 + x + 1 4x + 1 +C 3 x2 + x +1 4x +2 +C 3 x2 + x + 1

Q: V x2 + 4x – 5 dy using Trigonometric Substitution find x- Consider x+2 O -2+3 sec e O 3 sec e sec e…

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Q: Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = x6…

A: For critical numbers, Put g'(x) = 0 and solve for x.

Q: 15х2—х3— 43х — 19 Ax + B C The integral /- D + rx +s -dx can be rewritten as dx. (x+1)2(x²– 6x + 13)…

A: The integral ∫15x2-x3-43x-19x+12x2-6x+13 dx can be written as ∫Ax+Bax2+bx+c+Cmx+nt+Drx+s dx.To…

Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] %3D s- 3 minimum (s,…

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Q: Find the consumers' surplus at a price level of $8 for the price-demand equation p=D(x)=50−0.6x…

A: Given:   D(x)=50−0.6x    p = price      x = demand

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Evaluate the definite integral. '5 3 9 Vx2 dx

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Q: Evaluate the integral cot5 x csc3x dx O Lesc" x - ese" x + cse" x - c 2 csc' x + 5 글csc3 x + C 1 X +…

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Q: In how many ways can the digits in the number 8,400,000 be arranged? ways (Type a whole number.)

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Q: 4. Find dy/dx og y = xsinx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Region bounded by: y = x+1, y = -x + 4, x = 0 Rotate about: y-axis %3D

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Q: If ở x w = i- j+ k, and v · w = 4, and 0 is the angle between v and w, then (a) tan 0 (b) ө

A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…

Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

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Q: T = i+ R+1 +1 1 N = i+

A: answer is in next step

Q: Using Integration By Parts, x3 V x² +4 dx = u v- -[vdu Find UV-

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Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

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Q: evaluate intel9a) Evaluate intelga

A: Use property of integral.

Q: Consider the following function. f(x) = x – log, x (a) Find the critical numbers of f. (Enter your…

A: The given function is: f(x)=x-log4x       =x-ln xln 4

Q: Differentiate the following and simplify: y= log, (sinhe") h(x)=3sinh(1–3x² )cosh(1– 3x² ) 1. 2.…

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

Q: evaluate intelga)

A: Consider the integral  ∫1x3dx

Q: 2 - V2r + 10 a. lim 1-3 r2 +x – 6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)

A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai

Q: 2х — 1 dx x² – 6x + 18

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Q: 10. Consider the function f (x) = x³ + 6x2 -36x + 4. Then I. f decreases on (-6, 2) and increases on…

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Q: After watching the Section 9.10 vidco, solve the following problen. Make sure that you show all…

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Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A: Solving

Q: sin dx. Use trigonometric groups- 4. cos

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Q: c. r cos y = " - - log(x³ + y)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let f(x) be the function 1 Then the quotient x + 8 f(5+ h) - f(5) -1 can be simplified to h for: ah…

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Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) = x? + xy + y? - 9x…

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Q: 2 - V2r + 10 a. lim 1-3 r2 + x – 6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

Q: (x In 2x dx = u v- Jv du -Svdu- Using Integration By Parts, Fand uv- fvds uv- Jvau 3 3 xVX In 2x-V지…

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Q: Express the limit as a definite integral on the given interval. 5 V 3x; + (x;) Ax, [2, 3] * lim n →…

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Q: 2x³-x²+ x +2 D dx X +1 C Consider find A+B+C+D x4 + x3 4 O 2 O 3

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Q: 1. Evaluate the following limits. 2 - V2a + 10 a. lim 2-3 22 +r - 6 4x – 7 lim с. -1- (3r2 – 2.r 5…

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Q: Fird the area bounded by the curve: a) y=x° and y=2x43 a)Curve accurotely drown with important…

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Q: Using the rule of 72, how long does it take for country X's production to double? 19 years Using the…

A: answer is in next step

Q: puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan to rall of your…

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Q: Using Integration By Parts, x Arcsec 3x dx = u v- |v du

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Q: 5x |(x²+ a) The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers. What…

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Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

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Q: x2 sin 2x dx 2.1

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Q: 4. Given [2r + 5], if r2 I = -1 and at r = 2. If discontinuous, classify the type of a. Discuss the…

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Q: Solve the system of equations. If the system does not have one unique solution, determine the number…

A: In this question , we can solve the system of equation by eliminating the variables .

Q: Find the general solution of the differential equation. 121y(3) + 132y" + 36y' = 0

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Q: Evaluate the integral 8) da 21 3-8. by making the substitution u = NOTE: Your answer should be in…

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Q: Find the second derivative. 14) y = 4x² + 12x + 4x-3

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Set the partial fraction decomposition of the given form