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Q: S cot5 x dx

A:

Q: S V25 – 4x²

A: For the solution follow the next step.

Q: Change the Cartesian integral to polar coordinate | +y*)dx dy

A:

Q: In x

A: A detailed solution is given below

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Q: f (x) = (x + 1)º – 9x – 2 %3D (a) Find the intervals on which f is increasing or decreasing (b) Find…

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Q: (D² +1)y = sec x. %3D

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Q: In(x) -dr

A:

Q: Find r'(t). r(t) = (tan (6t))i+t cos(t)j – Vik I| NOTE: Enter your answer in terms of i, j, and k.…

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Q: 16 Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33. a n = 2 + (n -…

A: The nth term of an arithmetic sequence is an = a + (n - 1)d  a is the first term. d is the common…

Q: differential cgnatuin as A. Identify the given to the dependent variable, degce z the eguati degre 3…

A:

Q: S(cosh4x + sinh2x)dx

A: Given: ∫cosh4x+sinh2xdx

Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: In(æ) -de (2)/ 1

A:

Q: 2- A radio station conducts a poll about gun control. It invites listeners to call one phone number…

A:

Q: Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt' the product directly and…

A: r1(t)=cos⁡(t)i+sin⁡(t)j+6tk,r2(t)=5i+tk Given:  ddtr1(t)⋅r2(t)=r1(t)⋅dr2dt+dr1dt⋅r2(t) and…

Q: dr Let A be the area of a circle with radius r. If dt dA = 2, find dt when r = 5.

A: Given :drdt=2r=5

Q: 2. fx Arctan xdx

A:

Q: Evaluate the definite integral. i +e´j+tk )dt O e 7 – 1 e17 - (e-' – 1) + - (e~) - 1) j + k 17 O el7…

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Q: Evaluate the following limit using Taylor series. 7 7 tan 1(x) – 7x+: lim 4x° 7 .3 7 tan (x) – 7x +…

A: Given problem:-

Q: Find r'(t). r(t) = (tan-'(5t))i+t cos(t)j – Vik NOTE: Enter your answer in terms of i, j, and k.

A: r(t)=tan-1(5t) i+t cost j -t kddt tan-1(5t)= 11+(5t)2 ddt(5t)ddt tan-1(5t)= 51+25t2 ddtt cost=cost-t…

Q: 4- to --6 -5 -4 -3 -2 -1 5- ver which interval of z values is f'> 0? о (2, о) O 12, 0) 0(- 00, 2)…

A:

Q: Determine the vector field of F. F(1, y) = 9i – 3j

A: kindly attached following graph.

Q: 3 (a) | (7)dx (c) dx (sin x + 1)dx (b) L (x° + 2x + 1)dx (d) 0,

A:

Q: Evaluate the limit using L'Hospital's rule 4* – 97 lim

A: Limit

Q: dw given w = a2 + 2y2 + 22 and a = cos (st), y = -2s Int and Use chain rule to find 2 = 3s' Vi.

A:

Q: S-2 ds (s-1)(s-5)(s+3)

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Q: 3) f(t) = t*e?t %3D

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

Q: Find the limit. If the limit does not exist, type DNE. lim (1,9) →(-4, -2) 32 – 5zy =

A:

Q: 5. f(x) = (3x² + x)e5x² %3D

A: Explanation of the answer is as follows

Q: Use the Rules of Differentiation to differentiate the following functions: a. f(x) = 2x³+ 6x d. h(x)…

A: Given data

Q: Evaluate the limit using L'Hospital's rule 4* – 97 lim

A:

Q: long

A: We will use long division method.

Q: p.564/ use Trapezoidal method and Simpsons' rule to evaluate.

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

Q: Use a truth table to determine whether the two statements are equivalent. (p v q) a r and p v (q A…

A: Here we have to find the truth table.

Q: 1. For the autonomous differential equation = y(4 – y²) find the equi- librium solutions and…

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Q: Find V· (V × F), if F(x, y, z) = e®²i+ 4xe®j – 5eV²k. V.(V × F) =

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Q: Describe the graph of the equation. r =-18i+(1-j+:k O Itisa parabola in the plane: = -18, with…

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Q: Find the constant a, such that the function is continuous on the entire real line. ( 2x², f(x) = if…

A: Given the function is f(x) = 2x2,if  x≥1ax-1,if  x<1

Q: no1

A: Topic:- application of derivatives

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: Let's find.

Q: View Policies Current Attempt in Progress Find r'(t). r(t) = (tan-(9t))i+t cos(t)j – Vik | NOTE:…

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Q: 2)

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Q: e the formula k(t) = F(t) × r"(t)|| to find k(t) r(t) = t’i+ t°j

A:

Q: Consider the system of differential equation x' = 5x – 3y - y' = 9x + 9y Write the system in matrix…

A: To find the matrix A.

Q: Solve the equation on the interval 0s0<2x. 50 = 2 sec 50 What are the solutions to sec T=2 in the…

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Q: Use L'Hospital to determine the following limit. Use exact values. In r lim glnz

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Q: FP Use the Fundamental Theorem of Calculus to evaluate: /2 13. xp x zJ55 9/u5

A:

Q: Find r'(t). r(t) = (tan¬(11t))i+t cos(t)j – vik NOTE: Enter your answer in terms of i, j, and k.…

A: This is a problem related to derivative of the function. Based on the general formula and concepts…

Q: cos2x dx sinx

A: