Example 11 Determine the points at which the limacon defined by the polar equation r = 3+2 sin 0 has horizontal and vertical lines. Sketch the graph and show these tangent lines.

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A: Find the total amount of medication absorbed within the first 20 minutes

Q: Find the most general antiderivative or indefinite integral. 14 5x Зх+ 2) dx -3x+ 14 5x -3x+2) dx% =

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Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: We will evaluate the Integral of left hand side and right hand side then we will compare them .

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

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Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: %3D 15. If the vector field F(x, y, z) = xz i+ xyz j-y k, find curl F.

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Q: Find the indefinite integral. (Use C for the constant of integration.) x - 8 (x + 4)2 - dx + 64

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Q: Solve the differential equation y tana+y = 3 sin r. %3D sin I A sin a B sin r + C Cos a c - sin I +…

A: We have to solve the differential equation: y'tanx+y=3sinx

Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A: These questions are related indefinite integration, we will solve it using given information.

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 10 x² dx M4 =

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Q: A function f(z) and interval (a, b) are given. Check if the Mean Value Theorem can be applied to ƒ…

A: Given query is verify the mean value theorem.

Q: (6) When David was born, his grandparents deposited $10,000 in a college account that promised 6%…

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

Q: Could the following vector field. F. be conservative F(z,9) = (6z" cos (y), 4y²cos (z)) Select the…

A: Given vector field Fx,y = 6x4 cos(y), 4y3 cos(x)

Q: ds ds Draw a dependency diagram, and write a chain rule formula for др where s = g(x,y,z), x =…

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Q: A 5 ft tall soccer player is running at 13 ft / sec, away from a big light source 30 ft above the…

A: I am attaching image so that you understand each and every step.

Q: 1. Find (sin?) A 2 sin z cos a x* B 2 sin r" coS T* 1²-1 1. C 2 sin r? cos T² r² Inr D 2 sin r*…

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Q: Evaluate the iterated integral: e' dydx

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Q: Determine the equations of the vertical and horizontal asymptotes of the graph of the function f(x)=…

A: Given functionf(x)=xx-4

Q: 5 Evaluate the integral 2x cos(xy)dydx 4 0.

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Q: What would be the shape of the graphr= 2 cos 0, given that 0 = 0, 7, 5, ? semi-circle in the first…

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Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: Let f(x, y) = (x – 6)? Graph the boundary of the domain of f below. 7+ 5- 4 3 -7 -6 -5 -4 -3 -2 -1…

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Q: Question A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall walks…

A: Here we use the similar property of triangle

Q: 5. y = (x? - 4) / (x² - 2x)

A: The given function,   y=x2-4x2-2x

Q: Evaluate the iterated integral: e dydx

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Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: x2 sin 2x dx Use integration by parts

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Q: If cot (x) 23 (in Quadrant-I), find 30 sin(2æ)

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Q: (t – 1,t 2

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Q: -3 if x 2 4 -5 -4 -3 -2 2 3 5 -1 -- 4 -2 -3 -4 -5-

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Q: <O<T. (Show all work separately and submit on HuskyCT immediately after submitting yokr answers) 3.…

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Q: Find the total area of the shaded regions. ... Ay 64 y B+x y 64-xf -10 8-6 -4 | -2 2 46 8 10

A: -8≤x≤9Intersection points:8-x=64-x2x2-x-56=0(x-8)(x+7)=0x=-7, x=8Area bounded=∫-8-7[(8-x)-(64-x2)]dx…

Q: The rational function 340t V(t) t + 2 models the velocity, V(t), in miles per hour, of a dragster t…

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. p5-y y dx dy 3y

A: the solution is as follow

Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

A: Given query is to find the solution of the differential equation.

Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 1 5. Evaluate when x 1,…

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Q: Find the general solution of the differential equation. (Use C for any needed constant.) dy = 5 - y…

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Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

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Q: 22 - 12x To solve -dx, partial faction is to be employed. What is the most appropriate form of the…

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Q: Solve the differential equation. (Use C for the constant of integration.) 4x2 dy dx V2 + x .3 %3D

A: See below the answer and calculation

Q: Evaluate the integral. 4 2х e dx 4 2x e dx = (Type an integer or decimal rounded to the nearest…

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Q: 1 The domain of the function f (x = e VI-2 js O a) [2, 00), or, equivalently, {x > 2}. O b) (2, 00),…

A: Consider the function  f(x)=e1x-2

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8. x° dx

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Q: 4y V16+16g Find the divergence of the vector field F(z, 9) i+ V16z + 16g Provide your answer below

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Q: 3.) S, t°(1+ t*y°dt 4.) (x²-5x)e*dx 5.) S(4x²-7)dx/2x+3

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