In(n+24)158 In(103+12 n)200 The sequence is and its limit is

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

A: Given : f(x,y,z)=9x2y+5z2   To Find : Conservative Vector field by finding it's gradient

Q: exdll Values of the six trigonometric functions of the angle. (-7, -4) sin 8 =-0.496 cos e =-0.868…

A: Find your answer below

Q: x3 (x2 + 1)3 dx

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Q: Compute the area bounded by the cardioid r(0) =1– sin(0) on 0, Express your answer as a decimal…

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Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

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Q: y = xx, x 4, and y = 0 Revolve the area of the shaded region about the x-axis. Using circular disk…

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Q: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

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Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t2 (in…

A: Let's find.

Q: .9 dx The integral of the given function is equal to 4 x-Vx a. In2 b. In3 c. In4 d. In5 e. None of…

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Q: y y = x² + 1 5. y = x 2.

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Q: The equation o=- in spherical coordinates represents sphere. Select one: True O False

A: Here, the given equation is: φ=π5

Q: q. [sec' x/1 + tan x dx

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

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Q: Solve the equation (y - x + xy cot x)dx + xdy = 0

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Q: xArctanx - Invx² + 1 = y

A: Topic:- derivatives

Q: If f(x) = 4 Tln(x), find f'(x). %3D Find f'(2). Submit Question

A: Differentiation

Q: Find the following using the table below. 123 4 f(x) f'(x) | 3 | 1 | 4 2 2 3 4 1 (x)6 2 3 4 1 E|…

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Q: Evaluate the defınite integral. e? i +ej+t k)dt e? i + (e- - 1) j+1 k 7 e? - 1 i - (e- - 1) j+ 1 k 7…

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Q: Find the area of the region bounded by the given curves. Show the computed areas of sections using a…

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Q: sin x cos x -dx (2 sin x – 1)(sin x + 1)

A: To solve: ∫sin⁡xcos⁡x(2sin⁡x−1)(sin⁡x+1)dx Let I = ∫sin⁡xcos⁡x(2sin⁡x−1)(sin⁡x+1)dx Substitute sinx…

Q: 12. Which of the following is equal to dx upon decomposition? х3 — x2 -2х 1. 6 A. C. 2+ х - 2 dx x…

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Q: Use the integral test to determine the convergence or divergence of the series. 1 20) E k = 1 6k- 1

A: Let's find.

Q: 7/2 SAT sin" x cos3 x dx

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Q: The position of a point at time t = 1 is (2, 4) and velocity of the point at time t is . Wha the…

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Q: Find the limit algebraically. lim 1 x--4 Select the correct choice below and, if necessary, fill in…

A: The solution is given below

Q: Given a non-exact differential equation(x - sin?y)dy + sin y dx = 0. Find two integrating factors.

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, ) = 4x + 2y +z subject to z +…

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Q: Solve the second derivative(y") of the following

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Q: The integral of the given function sin³x cos x dx is equal to а. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

A: To evaluate: I=∫0π2sin3x cos x dx

Q: 1) Use the Integral Test to determine whether the series 1 is convergent or divergent. (Зп — 1)? c)…

A: The given series ∑n=1∞1(3n-1)2

Q: Find lim f(x). lim X--6 X-6 (Type an integer value.) (-6, 2) -2, 2) -12 -6 2, -2 (- 10, -4)

A: solution:-right hand limitlimx→-6+f(x)=0 f(-6)=0

Q: Evaluate the defınite integral. i+e"j+t k)dt O el2 12-( - 1) + O el2 – 1 i+ (e-' – 1) j + k el2 – 1…

A: ∫01e12ti + e-t j + t kdt=e12t12i -e-t j + t22 k01=e12112i -e-1 j + 122 k-e12012i -e-0 j + 022…

Q: The table above gives values of f, f'. g and g' for selected vahues (A) -14 (В) -13 (C) -2 (D) 7 (E)…

A: We will use integration by parts and will take values from table to solve this.

Q: dx 2. To evaluate | by trigonometric substitution, we let (5 – 4x – x - A. x+2= 3tane B. x+2= 3sine…

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Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

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Q: Find the absolute maximum/minimum value for f(x)= x² – 4x +1 on the interval [-3, 3]

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Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

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Q: ady す。e o 25+x2 メp

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Q: Find the limit. (ti – 6j + r² k) lim t→4 lim (ti – 6j + r² k) = i+ j+ i i i k

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Q: P2: |(e* sin x + x In x) dx

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Q: 8. Sketch a graph (different for each) that satisfies the given conditions: a) f'(x) 0 if x -2 (x…

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Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: Find the general solution of the given ODE * (y² – y) dx + x dy = 0. - y=c 5 +4x + k Option 1 Option…

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Q: x-1 y = log x+1

A: Topic:- derivatives

Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: 1 dx x(x3000+1)

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Q: Exercise 2. Find the following limits 3x +1 1) lim 2x +5 1-3x2 3x +1 2) lim X 2x +5 3) lim x- 2x+5

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Q: I. Show that the function f defined by (1, y) = (0,0) %3D f(r, y) = (1, y) # (0,0) I+ y is not…

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