The vector field F(x,y) = (5y + 3x)i + (3x + 5y)j is not conservative. Select one: O True O False

Q: What is the volume of solid generated when area bounded by y=x, y-axis and y=2 is revolved about…

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Q: 2. The limit of the sequence {cos cos an n+1 is

A: The given sequence is: an=cos(πn)n+1

Q: 6. Are vectors (-1,2,3) and (2,-1, 1) orthogonal? (YES or NO)

A: To determine whether the vectors -1, 2, 3 and 2, -1, 1 are orthogonal.

Q: Verify the following identities 2c05¹ √√x=cos (2x-1) 0<x<1

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Q: Let a . Find a unit vector in the direction of a = 1 35 i + 5 √35 =j+ k 3 35 X Invalid notation.

A: Let's find unit vector in the direction of a.

Q: (3) The derivative of y = In √√x is (A) y' = √³ 2 (B) y' == / 1 (C) y' = 2√/x (D) y' = = 1/2 2x (E)…

A: As we know that, The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And use the common…

Q: A painting is purchased as an investment for $175. If its value increases continuously so that it…

A: A painting is purchased as an investment for $175.If its value increases continuously so that it…

Q: 9.- A market analysis reveals that the profit P that a store will obtain with a certain item depends…

A: 9.- A market analysis reveals that the profit P that a store will obtain with a certain item depends…

Q: 2- Sketch T and Evaluate the Integral M, divÑav, being ♬(x,y,z) = yĩ+ xyj – zk Where T is the region…

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Q: Find the following expressions if a = (6r, 0, ½r), b = (4s, –s,8s), and c = 1. a. b = 2. a c= 3. b.…

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Q: Find the DERIVATIVE of the following functions using Rules for Differentiating Alg Forms. Show your…

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Q: 0 Find the derivative of the vector function r' (t) = ( r(t) = ln(12-2)i + √5 +tj+4e²¹ k

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Q: Question 8 Find f'(x) if f (x) = log (cot 8x). 8 tan 8x In 6 - csc² 8x tan 8x In 6 8 csc 8x sec 8x…

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Q: Find the equation of the sphere centered at (4, 9,-5) with radius 4. Normalize your equations so…

A: Given :Centered : 4, 9, -5Radius= 4

Q: The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay =…

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Q: 5. (- The length of a rectangle is increasing at the rate of 4ft/hr, and the width of the rectangle…

A: As we know that, The expression for the perimeter of the rectangle is: P=2l+b Where l is the length…

Q: draw the graph of the in inequality y < 2x - 4

A: Topic:- application of functions

Q: Evaluate x +4 lim₂+−1+ f(x) if f(x) = { -x+1 x -1

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Q: Find the arclength of the curve r(t) = (3√/2t, e³, e-³), 0≤t≤1

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Q: A. Find all the partial derivatives of f(x,y) = 12x²y + 2xy + 5y²

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Q: Consider the curve given by x² – 6y² = 5 – 4xy . x+2y dy dx 2(3y-x) Show that

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Q: Find the DERIVATIVE of the following functions using Rules for Differentiating Algeb Forms. Show…

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Q: Consider a function f(x) whose derivative f ′ (x) is given below. Find (i) all critical values, (ii)…

A: Given f'(x)=(x−2)3(x−1)2(x+1)

Q: 1/9 100% Sets: solved exercises b) B= Exercise 1. Tell whether the following sets are bounded from…

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Q: 6. Solve for the volume of the solid after rotating the region bounded by y = x³ and y= 2x² about…

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Q: Use the 2 solutions Bernoulli's equation dy y + = x²y² dx x

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Q: Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t) =…

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Q: what is -16 IT 3 52" ST 5² p²rin & dp dp de 0

A: Recall the formula:

Q: If ƒ(x) = x² + 6, g(x) = x − 3, and h(x) = √x, then (fog)(x) = (gof)(x) = (hog)(x) =

A: The given functions fx=x2+6, gx=x-3, and hx=x. We have to find the functions f∘gx, g∘fx, h∘gx.

Q: The graph of an equation x² + y² + 2² − 2x + 4y + 6z + 14 = 0 is a/an

A: Given equation: x2+y2+z2-2x+4y+6z+14=0

Q: 11. Solve the following Bernoulli equation with initial condition: - y = e²xy³ with y(0) = 1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 5. k(t) = -5t²e-4t + sin(31)

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Q: Repeat the approximation using left endpoints. Ln =

A: Given f( x ) = 1x + 3 [ -2 , 3 ]

Q: on b led by the graphs of f(x) = g(x x+2 4, and the vertical line x base of a solid. Cross sections…

A: We will find the required.

Q: (D² - 2D + 2)y = 0

A: To solve the given differential equation

Q: I 1 (8t +9) 2.1 -dt

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Q: (²x² (2x²-3x + 1) (x² +1)* a @y=x²e²

A: The given function is: y=xxe2x2-3x+1x2+112

Q: Businesses can Buy multiple licenses for a data compression software at a total cost of…

A: Here we have to find the derivative of a function.

Q: Step 1 To find the x-intercept, set y = 0 in the equation 3x - y - 9 = 0, and then solve for x. 3x -…

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Q: For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given…

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Q: Where is the centroid of the area bounded by y=x² and y=4?Hint: Centroid is ocated on the line of…

A: A detailed solution is given below.

Q: 10. Find dy/dx by using partial differentiation 2 arctan = In(x² + y²).

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Q: QUESTION 16 What is the area under the curve between x=0 and x=П y=xcos 2 A=2-2 A=27-4 A=2.83…

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Q: Find sin 2x, cos 2x, and tan 2x if sin x = √5 and x terminates in quadrant

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Q: One whole + six-eighths - 2/4

A: One whole + six-eighths - 2/4

Q: Examine 2x² - 4xy+3y² - 8x+8y-1=0 for maximum and minimum points. Max. at (-3,-1): Min. at (3, 5)…

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Q: Evaluate x² +1 - - (x − 1)(x − 2)(x − 3) dx.

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Q: 4. The graph represents the reciprocal of which quadratic function? 6-4 ya 2 on! N + Ny 10 A…

A: The graph of the function is given and We have to find the graph represents the reciprocal of which…

Q: A company's cost function is C(x) = √4x²+ 1600 dollars, where x is the number of units. Find the…

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Q: Find the solution of the exponential equation 7e* - 19 = 6 The exact solution, in terms of the…

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