Evaluate the line integral |-ydx + xdy along the curve C : y² = 24x from (24, 24) to (0, 0).

Q: S. dx 2. x²V4-x2

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Q: Consider the following. f(x) x(x2 – 11x + 35) - g(x) = x²

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Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A: Given :

Q: dx 2. x²V4-x?

A: Just use the trigonometrical substitution to make integral easy and then solved it.

Q: The differential equation (xy2 + y)dy = (x + 1)dx is separable. Select one: O True OFalse

A: We have to find

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Q: QUESTION 3 Three machines turn out all the products in a factory, with the first machine producing…

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Q: S- (1+x²) = x*dx Using trigonometric substitution, tan ode A sece sin Ode B cose S tan od0 sec20 sec…

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Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the…

A: We have to find the area of the enclosed portion.

Q: Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x…

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Q: Lef foo) the Gempesition (foj)G) 2001 2nd gG6) = e²7#Defermine

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Q: Evaluate the iterated integral / / хуdydxdz. Do not round. Give the answer in the form of the common…

A: Given: I=∫02∫04-z2∫0xxydydxdz   As we know that; The Power rule: ∫xndx=xn+1n+1+C

Q: 1 Find the equation of the line tangent to y = e 4X at x = - In 3. 4 The equation of the line…

A: We have to find the equation of tangent.

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

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Q: 2003 yo0, Find he Let, hC), 9 gph of h la) where the fangenf bnd is or2ontal where the foogen…

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Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of…

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Q: 5 y = 4x+3y+2 3r+2y+1

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: Evaluate the double integral over the rectangular region 9(a sin(y) – y sin(x)) dA; R= {(x,y) : 0…

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Q: The decay of a certain substance is modelled by the function N(t) = 100 (3+ e), where the number of…

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Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2-x). Answer:

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 10…

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Q: For the function f(x) = 2x² – 4x, evaluate and simplify. || f(x + h) – f(x) | h

A: Given query is to find the value of expression.

Q: 2n Graph the sets of points whose polar coordinates satisfy the inequalities Osrs1. Choose the…

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Q: ||r(t) × r"(t)|| ||M(t)|| Use the formula k(t) to find k(t). r(t) = t²i + t'"j 242 t7 K(t) = (4+ 121…

A: Cross product

Q: Use the substitution u = x + 14 to find the following indefinite integral. Check your answer by…

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Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: QUESTION 12 Suppose the demand function D(x) = x² – 12× + 36 and supply function S(x) = x2. Find…

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Q: The graph of f shown below has vertical asymptotes at X= - 2 and x = 4. Find the following limits.…

A: Solution is given below

Q: x = 3 sin? (2t) – 2 ;teR y =1-3 cos (2t)

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Q: Ql use the gauss elemen tution find? X-3Y+42=D0 2W-2x+3 -b+4X+34-82=0

A: Firstly , write the given system of equation in augmented matrix form and after that apply row…

Q: You are going to build a rectangular shed. You will put four walls around the shed and leave an open…

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Q: x*dx Using trigonometric substitution , (1+x²) = A) None sec³9d0 B tan20 tan*Ode sec®

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Q: 5) FIND THE MACLAURIN MALLAL fOR SERIES fa)=x cos (2x) %3D

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Q: Find the velocity, speed, and acceleration of a particle moving with position function r(t) = (3t² –…

A: Velocity: Let r(t) denote a differentiable vector-valued function that represents a particle's…

Q: Write an equation for the ellipse that has vertices (+7,0) and co-vertices (0, +6). Provide your…

A: Vertices : (7,0) and (-7,0)Co-Vertices: (0,6) and (0,-6)Vertices are of the form : (h±a , k)h+a=7 ,…

Q: So 3a (a + 4) dx = 5120 Select one: O True O False

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Q: Water is being poured at the rate of 2z m' /min into an inverted conical tank that is 12-meter deep…

A: We need to find rate of water leaking.

Q: From 1990 to 2000 the student tuition at a University grew from $12,000 to $18,000. (a) Using the…

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Q: - 0.26t ng If C(t) = 53.3t e measures the concentration, in of a drug in a person's systemt hours…

A: Given query is to find the time when concentration will be maximum.

Q: dy 1) dx y-x 2) y+x

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Q: 17) Find the area of te senface genereted by revolving the curve X=3¢, y= 2f about fue x-qxis on tue…

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Q: Evaluate the integral. 4 S(5x+ ) dx (5x + Vx) dx 1 4 |(5x + Vx) dx =D %3D 1 (Type an exact answer.)

A: We want to integrate the given function.

Q: (x+ct u(x,t) f(x- ct) +f(x+ ct)] + g(y)dy x-ct

A: solution

Q: Evaluate the definite integral. e18i i+ i- (*" - 1) j + k O (el" - 1) i - (e" - 1) j + - (e" - 1) +…

A: Given query is to find the value of the integral.

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

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Q: Find the area of the region bounded by y = (1/8)(-x² + 6x +7) and y = -6. Answer:

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Q: 2. Find S +l" dudy by first snitching the order of integration 4

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Q: 3 dy – sin-! 3y -12+C %3D sin-1. 4- 9y 3

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Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…