S Solve (2-2)² 3 3 ln | x − 2 | −³₂ + C 2 ln | x − 2 | |-2| − — ²/₂ + C None of the Above 2 ln | x − 2 +¹₂ + C -21+₂+

Q: -) Consider the sequence 1, - Determine tg- 128 2187 64 b) 79 33-80 27' 128 2187 64 79

A: Above question is solved.

Q: 8 For the function y = f(x) = 7+2²' a. Find the slope of the line tangent to its inverse function at…

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Q: Test the convergence and divergence of the following series, find the sum of convergent series. 13…

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Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

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Q: y=x²-1 R1 7 Y y = x³ + 1 R₂ A →y=1 y = -√√√x+1 x

A: To find the coordinates of the point A.

Q: H. Evaluate coordinates. 4-y² 4-x²-y² 1 x²+y²+z² So dzdxdy by using spherical or cylindrical

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Q: 2. Find the differential equations by eliminating the arbitrary constants of a) y = C₁x + 2² b) y ex…

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Q: Problem 1 Solve (x + ex sin y) dx - (y + e* cos y) dy = 0

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Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: 13. Evaluate the indefinite integral fx cos x dx x sin 2x cos 2x a. + c 2 x sin 2x cos 4x b. + c 2 2…

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Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

Q: 6. Use a triple integral to find the volume of a solid enclosed by the elliptic paraboloids z = 2x²…

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Q: 23. fx² sin 2x dx is a. b. x² cos 2x -x sin 2x-cos 2x + C x² cos 2x -x sin 2x + cos2x + C -x² cos 2x…

A: Given problem:-  ∫x2 sin(2x) dx

Q: Use the following information to answer the next question The following five statements, numbered 1…

A: Explanation of the answer is as follows

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 9 mi from…

A: Concept: We have a boat on the water, and let the closest point on a straight shoreline be x, In…

Q: 17. The equation A = 400(3)* models the growth of bacteria over time. Let A = the amount of bacteria…

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Q: 0,4) A B) 3 C) 5 D 23 5 गज 2 C 11 A - x² 3 (3,-5)

A: Topic:- application of integration

Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A: The given series is ∑n=1∞3n51-n

Q: The point x = 0 is a regular singular point of the differential equation x²y" − x(x+3)y' + (x+3)y=0.…

A: The given differential equation is x2y''-x(x+3)y'+(x+3)y=0…

Q: ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

A: Please see the below picture for detailed solution.

Q: Question 1 of 14, Step 2 of 3 1/20 Correct When a factory operates from 6 AM to 6 PM, its total fuel…

A: Given query is to find rate of consumption at 10 AM.

Q: 2. A cylindrical tank of radius 20 feet is being filled with water at the rate of 600 cubic feet per…

A: Given that,  Radius of cylindrical tank= 20 feet Water is filled at a rate of 600 cubic feet per…

Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain…

A: Graph of the function is given, we have to find its asymptotes and domain

Q: . Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: 3 sin 0 = 1 and ㅠ < 0 < 1. then tan 0 is equal to 2 4 마음 54 100

A: Here we will find tanθ,

Q: 1.5+ 1 4 In the figure, is f(x) squeezed by u(x) and 1(x) 2 1. at x = 37 ? 2. at x = 2? IT 14(X)…

A: Concept: Squeeze theorem: Suppose that g(x)≤f(x)≤h(x) for all x close to a but not equal to a.  If…

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find position vector

Q: non-permissible values of x for the identity cscxtanx=secx are?

A: non-permissible values of x for the identity cscxtanx=secx are?

Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

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Q: 4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1 following expressions) luxv| + u.W

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Q: 16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

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Q: absolute absolute error when you vo (12) with T₂(x) at od: Jest Trond.alq2] vib 10 TO 90AU973V803…

A: Let's find absolute error.

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

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Q: option that best describes this function. unction is both even and odd. inction is even. unction is…

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Q: Find the volume of the solid formed by rotating the region enclosed by about the x-axis. Answer:…

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Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =…

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Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

A: Please see the below picture for detailed solution.

Q: A factory is dumping pollutants into a river at a rate given by dx/dt = t3/4/600 tons per week,…

A: A factory is dumping pollutants into a river at a rate given by dxdt=t34600 tons per week, where t…

Q: -0.2 e2x sin(x) dx

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Q: Air is being pumped out of a spherical balloon at the rate of 25 cm3/s. How fast is the radius…

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Q: A rate of change of H is given by Solve for k where H> -25. O 0.458 0.346 0.255 0.144 ап = k (25 +…

A: This question can be solved using the concept of differential equation.

Q: 41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the…

A: Above question is solved.

Q: If the following equality is known to be true: -Ax + B x² - 2x - 3 What are the values of the…

A: see below the answer and calculation

Q: 1. Find the trigonometric Faurier Series of the function ..defined... by... f(x) = x+# if π..<X.…

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Q: Use Integration by parts to solve: (3xsin(5x) dx

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Q: iv) Sº³ §¾½5 √xª + 1 dxdy

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Q: Factor the difference an+1-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

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Q: 2) A bacteria culture which started at 2, 000 became 6, 000 after 4 hours. After how many hours will…

A: