The value of | 1/a da is O e+C O +C O a 2 + C O In(r|) +C O None of the others.

Q: x² + y² = (3x² + 2y² – x)², (cardioid) 0, y 0.5 -0.5 0.5 1 -0.5

A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

Q: (2² – V)7*. Find dy using any method. dx Let y = - dy dx

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Q: In the system of constant. For w ехас exactly one dist

A: Concept:ax2 + bx + c = 0can have only one solution when,when the discriminant is zero.b2-4ac = 0b2 =...

Q: non m Q4) Solve the D.E= %3D dx ya

A: Differential equation

Q: 7–√7

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Q: The polar coordinates of a point are given. Plot the point. (9. ) n/2 10 7/2 10- 5 -5 -5 -5 - 10 T/2...

A: Consider the polar coordinate  9,5π4

Q: 2. Find the family of orthogonal trajectories of the given family of curves in the following equatio...

A: x2+2y2=kf(x, y, k) = x2+2y2-k =0differentiating w.r.t  x,2x + 4y dydx-0=0dydx= -x2ysubstitute -dxdy ...

Q: Choose 1. Determine the radius of convergence and interval of convergence. (x- 2)" ' (n+ 1)3" 00 n=1

A: Radius of convergence = 3

Q: | sin x (3cos*)dx 2:

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Q: Find y' and simplify: y = cot(tan x³) - %3D -3x²sec? x 13 y' = 1+tan?x3 %3D X. 3x2sec? x3 y' = 1+tan...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: Given :                                        ∑n=0∞(-1)n+1(n+8)xn       an    = (-1)n+2(n+9)xn+1   ...

Q: Number of phone surveys A research institute conducted phone and mail surveys. The total cost of con...

A: topic - linear function

Q: Given a function whose graph is shown below. The function is continuous on(-1,0]. 14 Always True Som...

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Q: х-2 Determine lim x→2- 2-V4x-x2 Your answer

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Q: Select ALL possible answers. Which of the following is/are true of f (x) = x²(x + 3)²? A. The functi...

A: answer C the function is continuous everywhere because here  not any value of x in denominator  so i...

Q: dy x+3у 5- dx 2х

A: Given:      -dydx=x+3y2x

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)3 f(x) = E n ...

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Q: fmd the laplaco oof -St e t Cost de

A: Let's find. 

Q: 3. Given the matrix below, determine the following: a. Transpose of the matrix b. Determinant of the...

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Q: 1 Use the trapezoid rule and Simpson's rule to approximate the value of da with n = 4. 9 + x3 Note t...

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2f(x0)+2f(x1) + 2fx2+...+2fxn-1+fxnwhere , ∆x = b-anSimps...

Q: 4

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Q: Select ALL possible answers. Which of the following statement/s is/are true of the function whose gr...

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Q: Find a domain on which f(x) = (x −3)2 is one-to-one and non-decreasing, then find the inverse of f r...

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Q: shadow moving? 3 25 ft åbove the ground. What is the rate of change of the length of her shadow when...

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Q: Select ALL possible answers. * Which of the following is/are the point/s of discontinuity of the fun...

A: For a function to be continuous - The left hand limit should be equal to the right hand limit and bo...

Q: Suppose f'(x) is continuous over an interval a < a < b, and a <c <d < b. If f'(c) = 9, then (check a...

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Q: Find an equation of the tangent line to the graph of the function at a given point. Note: Do not use...

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Q: Average speed (mph) Number of laps 0<s < 140 140 < s < 145 20 145 < s < 150 32 150 < s < 155 57 155 ...

A: From given table

Q: Can you please answer both

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Q: り)

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Q: answer

A: We will find the value of x

Q: There are some sweets in a container. When the sweets are put into bags of 4 or 10, there are no swe...

A: topic - lowest common multiple

Q: 7. If y 6e5, then y' = 30e*. The derivative of a product will never be equal to the product of deriv...

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Q: Which of the following is the orthogonal trajectories of the family of curves y^(5) = kx^(4)? There ...

A: To find orthogonal trajectories in the curve substitute -dx/dy for dy/dx in the differential equatio...

Q: VIn 2xe** cos (e**) dx Q5:A/ Find

A:

Q: Find the sum of the convergent series. 6 0.6 +0.06 + 0.006 +. .

A: Given,Sn = 6 + 0.6 + 0.06 + 0.006 + 0.0006 + ..... = 6.66666...    110 Sn = 66.66666....            ...

Q: Q2) A) Find the quantities for the following 6.р 12+3x 4

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Q: Determine which law applies. Then solve the triangle. A = 44.7°, B = 35.3°, C = 100° Which law appli...

A: We have to solve the problem by finding wheather it is solved or not.

Q: The infinity in the V6-ydy can be eliminated by applying lim V6-y dy O True False

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Q: Evaluate the double integral. /1,72(64 + y*) dA; R R is the region in the first quadrant enclosed by...

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Q: G. Find the derivative of the following functions using the limit definition. 1. g(t) = 2-5t 5t+2 2....

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Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x...

Q: 4" – 3" 00 Determine whether the series converges or diverges. If it converges, find its sum. n= 0

A: Solution: ∑n=0∞4n-3n5n Apply series ratio test an+1an=4n+1-3n+15n+14n-3n5n

Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x2y2 O 34 O -28 40 O-32

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Q: Question 13 d?y of y = 4x dx' Find the 3. y" = 4 Eethis reapon

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Q: Given that y = (1In(x))?m(=), find dy using the method of logarithmic dx differentiation. dy dx ||

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Q: Which of the following is/are the point/s of discontinuity of the function whose graph is shown belo...

A: The given question can be solved as shown instep2.

Q: Find y' and simplify: y= cot(e Sin ) -esin t y' = 1+e2sin t sin t cos t y' = 1+e?sin t %3D sin t cos...

A: Topic:- derivatives 

Q: 3 Q 11 -3 -2 -1 1 2 For the above rational function f( x ) = identify the interval on which f is con...

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Q: valuate the function for the indicated va F(x) = 6 |x|| + 3 (a) f(0) (b) f(-2.8) (c) f(4) (d) f)

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