Evaluate the line integral -ydx + xdy along the curve C : y? = 9x from (9, 9) to (0,0). NOTE: Enter the exact answer. -ydx + xdy

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: 4.)S V dx Use only The Method of substitution/u-substitution on this item. Final answer should be in…

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Q: A = (0, -3) and B = (5,9) A = (3, – 11) and B = (9,-3)

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Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: Find the exact area under the curve between the indicated values of x. y =x2 - 6x + 9; between x= 2…

A: Solution: ∫24(x2-6x+9)dx

Q: Using appropriate substitution 1 dx V9x² – 36x + 37 Is equal to

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Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral x³Inx A x² dx 3 O ---fa…

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Q: dx а. x V4+ln?x

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Q: Find div F and curl F if F(x, y, z) = x’i – 7j + yzk. - div F= curl F=

A: Given that     F(x,y,z) = x5i - 7j + yzk

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: We need to find speed at given point.

Q: The linear system with corresponding augmented matrix 2 -1|4 is consistent. True False « Previous…

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Q: 2) Find and of the following equation then simplify whenever possible. dx² x = Cos ß + Sin ß y = Sin…

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Q: Find the arc length of the graph of r(t) = ev2'i + e-V24j+ 2tk, 0<t< v2 In 9 NOTE: Enter the exact…

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Q: Hi there, please help me with answering this question. I am a bit confused here. It would be highly…

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Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 9 cos(5x – 6y)j+ 10zk.

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Q: 3 4 dx . (5+2x)' 3. Evaluate

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Q: 3.5n 7n+1 n=1

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Q: Find the exact length of the curve. =글Vy (y-3), 16 <y< 25 X =

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Q: y" + 9y = 9 sec² 3t, 0<t < T/6

A: To solve the following differential equation

Q: Determine the equation of the tangent plane and normal line to the surface at the given point.…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: The following table gives the sunrise and sunset times for various dates of the year in Lincroft,…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: cx2 + 8x if x < 3 Let f(x) = 1 x3- cx if x 2 3. For what value of the constant c is the function f…

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Q: Find the exact area under the curve between the indicated values of x. 3 ; between x = 1 and x = 3

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Q: Find the area bounded by the indicated curves. x = 2y2 - 1, x = y2 + 8 For visualization, input the…

A: Topic:- application of integration

Q: 1- cos4x lim→0 5x e N – 1 O 1

A: This is 0/0 form so use L hospital rule and Solve.

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: 4.) on this item Pinal (Vx+Vx)* dx Use only The Method of substitution/u-substitution answer should…

A: We have to find the integral

Q: Use the given vectors to find v•w and v.v. v = 61 - 4), w= - 21 -J v•w= 2 (Simplify your answer.)…

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Q: t cos t?dt can best be evaluated by: A None B Trigonometric Transformation Integration by Parts…

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Q: 1. Find the area of parabola y = x² from 0 to 1.

A: This is a problem related to integration. Based on the integral formula for area calculating we will…

Q: 4) Find the critical points of the parametric equations x = 5 – In t y = t + Int

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: Find the differential equation whose general solution is y = c,x + Cze* . A. (x – 1)y" – xy' + y = 0…

A: The simplest approach to do this question is to verify through options.

Q: Determine whether the series converges or diverges. Make sure to clearly state the test that you're…

A: Given,  ∑n=0∞2xnn!

Q: Quéstión lốf 4 f(x) = (x³ + 2x)(2x – 1)5

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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Q: integral

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Q: y" + 2y' + 5y = 4e¬t cos 2t, y(0) = 1, y'(0) = 0

A: Given:       y''+2· y'+5· y=4 e-t cos2t      y0 =1   ,    y'0=0

Q: Solve the De as follows via Laplace transformations: y"- (14/3)y" - (55/3)y' + 14y = 0; y(0) = -1,…

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Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: A function f has the following graph: 4- 3 2 -1 0. 2 3 5 7 9 -1- Which of the following is true? O…

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Q: Describe the graph of the equation. r = 7 sin 6t i – 7 cos 6t j O It is a circle of radius 6 in the…

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Q: x²dx с. (х-1) (х?+2x+1)

A: Topic:- application of integration

Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

Q: Please

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Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo. dy dx?

A: Consider  ∂3y∂y∂x2=

Q: d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Find the general solution: y" + 5y' + 6y = 4e¬t cos2t + sin2t A - BI -

A: Differential equations