sec¹ (3x) b) ›1$ 3 tan³ (3x) dx

Q: 1. Which of the following relations is a function? a) {(1,9), (2, 4), (2, 3), (4, 15)} {(2, 7), (7,…

A: Recall:  A function can be defined as a relation between "each of its inputs" to "exactly one…

Q: 9. Compute the area of the region in the ry-plane wich is bounded by the z-axis and the curve r(t) =…

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: 16. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

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Q: = Using calculus, find the absolute maximum and absolute minimum of the function f (x) [-3,2].…

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Q: у=ех

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Q: Let a = -17-23 + 3k and 6 = 67-53-4k. Find a b Check Answer

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

Q: 191. f(x) = x³ + 1

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Q: 17.The volume of a parallelepiped is given by the following formula: a. c.(axb) Calculate the volume…

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Q: Determine the real number a such that u x v and i are orthogonal, where u = 5i + j - 9k and v = 6i -…

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Q: Evaluate the triple integral g(x, y, z) dV over solid B. B = {(x, y, z) | x² + y² ≤ 10², x ≥ 0, y ≥…

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Q: Evaluate the following indefinite integral. 1 √2 + 3x² Note: Don't forget your C! And be sure to use…

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Q: Evaluate [ f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: z = x + y, x² + y² ≤ 1

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Q: 2.fe-2y dy

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Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³ - 13x + 11 b)…

A: 9. Which of the following is f(x)=x3 parent function for.

Q: The function f is shown below. What is the value of answer in simplest form. -10 -9 -8 -7 -6 -5 4 3…

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Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: Find the linearization of the function f (x) = x³ at x = 1. L(x) = Using this linearlization, ƒ…

A: Answer is in next step.

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y=-x² + 7x between x = 1…

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Q: Write a limit using summations that would equal n Answer: lim Σ N→∞ k=1 1 2 [ (²-5) dz. Submit A

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Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

Q: Find the work required to move an object in the force field F = (x,2) along the straight line from…

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Q: Let f be a continuous function such that -6 [', f(x) dx = 9. What is the value of -3 f(x) dx = -10…

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Q: Use cylindrical coordinates to calculate: Sw(x² + y²) dV = [[[_x² + y²³ av W: x² + y² ≤64, 0≤ z ≤ 16

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Q: Exercises: Use the theorems on limits to evaluate each of the following, if it exists. 1. lim (2x³…

A: See this solution in below.

Q: J 9(x, y, z) dV over solid B. B = {(x, y, z) | x² + y² ≤ 9², x ≥ 0, y ≥ 0,0 ≤ z ≤ 4} and g(x, y, z)…

A: Please see the below picture for detailed solution.

Q: · (b + c) = a · = a · b + a · e for all a, b, c € R³. . 7. Prove that a.

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Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

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Q: Differentiate the following function. You do not need to simplify the derivative. ƒ'(x) = 5 f(x) =…

A: Derivative of function f(x)=lnx5

Q: Find the average value of the following function where 9 ≤ x ≤ 11: f(x) = X C 81 dx

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Q: Evaluate: (In x)² x -dx - +C

A: Topic - indefinite integral ∫xndx=xn+1n+1+C

Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

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Q: Consider lines L₁ and L₂. L₁: x = 1 + t, y = t₁ z = 2 + t, t€ R, L₂: x-3=y-1=z - 3 (a) Verify…

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Q: Solve the differential equation xdy]=0 xdx +sin? (%) [yde 4x ln || - 2y + x sin ( ² ) = 0 2x a. 2y…

A: Given :   xdx+sin2yxydx-xdy=0

Q: Find a plane through the points (-3,-8,7), (7,-2,6), (-2,8,-4)

A: answer is in next step.  as per guideline i can answer only one question .

Q: Below is the graph of y = x² +5. 141 12- 10 -2 -1 8- 6- 4- 2 0 1 2 3 The area bounded by y = x² +5…

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Q: m M|L II k=0 CO M« Σ N சிய

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Q: What are the associated roots forR (x) in the differential equationy''- y = R(x) where R(x) = 4cosx?…

A: Given differential equation:- y"-y = R(x) Where R(x) = 4 cosx

Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: xy - Y lim(x,y)→(1,0) (x − 1)² + y²

A: Please see the below picture for detailed solution.

Q: Find the domain and range of the function.   ​G(t​)=1/t2-25

A: Given,            Gt=1t2-25To find : Find the domain and range of the function.

Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Let f be a continuous function such that D -3 f(x) dx = F 3. What is the value of f(x) dx = -2 and…

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Q: Evaluate [/FO f(x, y, z) ds. f(x, y, z) = xy Z S: z = x² + y², 9 ≤ x² + y² ≤ 81

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Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

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Q: 14. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

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Q: Differentiate the following function. You do not need to simplify the derivative. f(x) = (lnx)5…

A: Geven : f ( x ) = ( ln x ) 5 To find : Derivative f ' ( x ) = ?

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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Q: 5. The movement of the crest of a wave is modelled with the function h(t) = 0.2 cos(4t) + 0.3…

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