5 — 4г — 2? dx

Q: /9-x² dx. Use trigonometric substitution. x2

A: This question is related to indefinite integration, we will we will solve it using given…

Q: cos 2 dx O 32 -cos -5cos2 ()+7] + c 35 32 35 - cos(4)- 32 -cos) +c O 32 COS +C 스4

A: We have to find integral

Q: 1 2. (33.6) Use the building block > a", |r| < 1, to find a power series representation 1–x n=0 for…

A: Solve the following

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 2x3 – x² + x + 2 -dx = A + dx find A+B+ C+D- X+1 Consider x4 + x3 2 O 5 O 4 3

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Q: 4 3 2- O 1+ -2 -1 1 2 x 1,

A: Solved below

Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

Q: Answer the following questions for the function f(x) = a/a² + 9 defined on the interval – 6 <a < 7.…

A: According to the guidelines, I am answering the first three subparts. Please repost the remaining.…

Q: Using Integration By Parts, Vx In 2x dx =uv- -Svdu Jv du Find UV- du O 2 늘 xVX In 2x-| Vx dx Xx In…

A: A detailed solution is given below

Q: the substitution formula to evaluate the integral. 4 cos³ x sin x dx T/3 27) 15 A) 15 B). 15 3276 D)…

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

Q: Using Trigonometric Substitution J JA€)d® ,find f(e) (x2 + x + 1) 2 4 3 sec? e 4 3 sec e O 3 sec e 4…

A: Here we have to apply trigonometric substitution.

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Consider the following sodium content of 26 randomly picked canned food. Propose appropriate data…

A: answer is in next step

Q: .4 V x2 + 4x - 5 Consider dx using Trigonometric Substitution find x- x+2 3 sec e -2 + sec 6 sec e…

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

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Q: If a rock is dropped from a height of 290 ft, its poistion t seconds after it is dropped until it…

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Q: Find all values of A E C such that A(1+2i, 5+4i) = (3+2i, 6-1)

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Q: For the integral, / tan'x sec*x dx, if we let u = tan x, what is the re-written form of the…

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Q: Evaluate the proper Integral X-X aJ Simplified form b) Values of A, B,C,D CCD P needed) C)…

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Q: Question 4 When x°cos (x²)dx is evaluated using IBP, the value of J v du is? A B -cos (x2) cos (x2)…

A: We need to choose correct option.

Q: Use the method of Lagrange multipliers to find the maximum and minimum of f(x,y) = 5xy subject to x…

A: We have to find the maximum value.

Q: Find the partial fraction decomposition. 2x-2 (x-2)(3x-5)

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Q: How many times will integration by parts be used in evaluating In'x dx? once twice thrice no need to…

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Q: x² + x +2 Evaluate x2 - 1 x+1 +C (x- 1)2 (x- 1)2 In- + C x+1 x+1 X+ In- +C (x-1)2 (x- 1)2 x + In- X…

A: Given problem:-

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: Find the Area of the hegion baudded by the ghaphs Of y=x3 and Y = 4x Using integtation Determine the…

A: Given:      y = x3       y = 4x

Q: |v|dt. Then find the Find the arc length parameter along the curve from the point where t= 0 by…

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Q: 14. Find the third order Taylor polynomial T3(x) of the given function at the given point. (a) S(1)…

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

Q: cos2x – sin2x cos2x dx = For -F(x)+C What is F(x)? cosx – sinx 2 2 sinx + =cos'x+cosx + =sin³x 3 3 2…

A: For ∫cos 2x-sin 2x cos 2xcos x-sin x dx=13Fx+C, to determine Fx.

Q: Evaluate the indefinite integral. 15 +°dx

A: Given query is to eveluate the integral.

Q: Determine whether the Mean Value Theorem can be applied to f on the dosed interval [a, b). (Select…

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Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

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Q: S****2 x² + x +2 Evaluate x2 – 1 x+ In- (x – 1)2 +C x+1 x+1 x+ In- (x- 1)2 +C x+1 In- +C (х-1)2 о.…

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: Given: Now, fxx=∂2∂ x2x5+x2y2+y5+x+y    =∂ ∂ x5x4+2xy2+1    =20x3+2y2 fyy=∂2∂ y2x5+x2y2+y5+x+y…

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: When J x°cos (x-)dx is evaluated using IBP, the value of J v du is? A - cos (x2) B none of the…

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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: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: Sveluate esing Sub method 7.

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Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis. Answer:

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Q: Find the area bounded by y = x+ 4 and y = x2 - 2. Answer:

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: We need to use mid point rule to approximate integral.

Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

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Q: 0. f"(x) = 12x; f(1) = 2 and f'(1) = -2 3. ((a)

A: Given query is to find the function.

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0,-3, -8 Leave…

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Q: 31. Jul = 9.0 = 335°

A: Given query is to find the component of the the vector.

Q: nd the indicated derivative. 8 dv 7) if v=t+- dt t

A: We are asked to find the derivatives.