Hawad Findthe areas fak the fallowing regions 2 Area af the region insidethecircle (r=1) and outside the cardiod (r=1+cos0)-

Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

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Q: For Item # 1- 2: The IOM company describes the cost C in pesos of producing x units by the function,…

A: Given cost function.

Q: Find the area of the shaded region. The y=- Consider c=64. Enter the exact answer. ver. Area

A: To solve the following problem

Q: *xp: Evaluate the integral Jī+x

A: The given integral is: ∫x1+xdx

Q: Determine whether the planes are parallel or identical. -5x + 2y – 8z = 6 10x – 4y + 16z = 11 The…

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Q: Does the series defined below converge or diverge? Give reasons for your answer. 5 a, = 5, an + 1=7n…

A: Here, the given terms are: a1=5, an+1=5nan So, a2=52a1=52(5)=522a3=52a2=52522=5322... So, an=5n2n-1

Q: x2 – Evaluate the integral = 2.x +3 dr.

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: Jse cylindrical shells to find the volume of the solid generated when he region enclosed by the…

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Q: Write the following first-order differential equations in simplified standard form. dy (5х + 3)у +…

A: We have to write the given first order differential equation in standard form .

Q: Determine all the critical numbers of the following function: f(x)= x² + 10x+25 a. None of these. b.…

A: Let us consider a function f(x). To get critical points of f(x) we put f'(x)=0

Q: Solve for ((1 integral 0) x3(2+2x4)5 dx) instead

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Q: dy Solve dx x +y and find the particular solution when y(1) = 1 dy = x – y and find the particular…

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Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

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Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.

Q: Solve the following initial-value problem using Laplace transforms. y′′−y′−2y= 5 sin(x); y(0) = 1,…

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Q: lamda A= ay %D MD 10

A: Given λ=ay/MD

Q: dx 1-S 4+x?

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Q: ニ1 近。 Question 2 D. O E OA 3. (A) 3. 3. (). 32 3. (C) 16. (B) zg (7) The area of the region enclosed…

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Q: Solve

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Q: Find the area of the shaded region. The image is not y =

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Q: uate the integral dx. /1+x

A: Given  jkjbb

Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: The given condition, a Petri dish containing 3000 newly discovered flesh-eating bacteria makes a…

Q: (b) Oppositely directed to 18i – 12j + 6k. - 3 i 1 j + k V6

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Q: 200 N 250 N 120° 145° V

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Q: Problem 1. Which gives the Laplace transforms of the given time-domain function? Let a = %3D 2 O…

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Q: cosh? Vx 4-S- dx Vx csch vx

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: given  r(t) = cos(πt) i - ln(t) j + √(t-4)k ; t0 = 5  Have to find domain of r(t) and valu of r(5).

Q: 6х3 + х2— 5х —7 –dx. Use Зx2 —х — 2

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Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

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Q: Find the total area enclosed between y = x and y = a over the interval [-1,5]. NOTE: Enter the exact…

A: The region bounded  by y=x3 and y=x over the interval -1,5

Q: b. = log(a + b) a If log + log- %3D a then we can conclude that O a. a-b-1 O b. a?-b2 =1 O C. a+b=1…

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Q: Ans: 2x(x - a)y' = y(3x- 2a) 7. The cubics cy? = x² (x - a) with a held fixed. %3D

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Q: x+4x+3 dx 5. 24—5х2+4

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Q: 1. Find the Maclaurin series for the function x2 In(4+ x). Also find the associated radius of…

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Q: 3) Water is being poured at the rate of 2TT m3/min. into an inverted conical tank that is 12-meter…

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Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: The error in the estimate of the cost of the wood is 120P

Q: What is the volume of the solid formed by revolving the region bounded by y? = 4æ and a = 4 about…

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Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

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Q: 3x+1 7. 9e ax

A: The given integral,       ∫9e3x+1dx

Q: 7. Determine the magnitude and (-2,–1) and a terminal point o

A: Given query is to find the magnitude and the direction angle.

Q: VI. Write the equation of the line that has the indicated slope and contains the indicated point.…

A: We know that equation of line passing through the point (x1 ,y1) and having slope m is,…

Q: f(x) = 4e−2xsin(x2) 1. What is the first derivative of the equation? 2. Find f′(−1) manually.

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Q: 5. Eliminate the parameter to find a Cartesian equation of the following curves. et (a) x = vt+1, y…

A: Eliminate parameter t.

Q: da Evaluate the integral dx. sin x cos x (a) In sec a| - In |sin r| + C (c) In |csca- cot c+ In sin…

A: Given problem:-

Q: C is polygonal path from (0, 0) to (3,0) to (3, 2); the sur- face is f(x, y) = 2x +y

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Q: !Solve the boundary-value problem y" +9y = 0, y(0) = -3 and y(/3) = 2.

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Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

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Q: Question 7 of 10 The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m.…

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