Determine the average rate of change of the function on the given interval. 2) f(x) = 3x2 + 3 on [3, 5] 2)

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Q: Solve the di fferential equatons (y-Jx*+y²) dx xdy when x= JE, y=I 2 1.

A: y-x2+y2dx-xdy=0

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/...

A: We want to find rate of change of area of circle. 

Q: 11 Find the arc length of y = e" on 0 < x < 2 No decimal entries. Find the exact value. L =

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Q: 10. x2(x-2) dx

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Q: Given the following table, give the best estimate for f'(3) 6 9. 12 15 f(x) 38 43 55 60 22 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

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Q: Rind the Domain Jx-3 x2 16

A: Given query is to find the attached domain of the expression.

Q: the plane according to the equations x = t² + 2t and y = 2t³ – 6t. Find dy/dx c. 3 d. 4

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Q: b)Consider the graph of y = (2x − x^2)^1/2 on the interval 0 ≤ x ≤ 2. Compute         the area of th...

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Q: For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively, on [1,0). Sh...

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Q: 4. An imaginary ant is walking on an imaginary cartesian plane so that at any point (x, y) it moves ...

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Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

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Q: solve for orthogonal trajectories y^2=4x^2(1-kx

A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of ...

Q: - 2x – 20 A B x2 + 10x + 24 r + 4 x + 6

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Q: Evaluate the following integral (please write it out, instead of tying if possible)

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Q: Find the differental equation of the family of plane curves described, Draw at least three members o...

A: Formula: Circle equation (x-x1)2+(y-y1)2 =r2 given, Centre on y=x is (b,b) And radius =k

Q: Lesson 4 1. Given the function f(x) = 3-x, graph and find lim f(x) a. b. lim f(x) c. lim f(x)

A: Topic = Function As per guidelines, At a time only one question can be answered out of different mul...

Q: -e4 lim x→2 x2-2x

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Q: Question 7 If 1 = (6,9) and v2 = (2, 6), then find 30, + 202. Type your answer in component form, (...

A: Topic:- vector addition

Q: Show that the limit xłycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: ckdown RODLL ND. Find the centroid (center of mass) of the top half of the unit circle. See the pict...

A: See the details solution in below

Q: For the given double integral, sketch the region of integration and reverse the order of integration...

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Q: 2 2. x = k +ct y = c²t²

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Q: Without solving for the solution, what would be the correct form of the solution of the DE when usin...

A: We have to find correct form of the solution and we have find complementry solution in ans 2

Q: 31. (a) Use the Quotient Rule to differentiate the function tan x f(x) see x (b) Simplify the expres...

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Q: dy 2. x + ( 1+x)y e -Xsin2x dx

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Q: 3 +1 mect

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Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element ...

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Q: 66. Find the volume obtained by rotating the region enclosed by y = In x and y = (In x)² about the y...

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Q: 1. lim f(x) = x-1 ; lim f(x) : lim f(x): f(x) 5 X-1 2. f(1) = 4 3 3. X-1 lim f(x) = ; lim f(x) = ; l...

A: According to bartleby guidelines I can only answer the first three subparts of the given question. P...

Q: h(x) = [square root] 5+4f(x) f(4)=5 f'(4)=2 find h'(4)

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Q: y + = x2+y2 dx xdy when x=J3', y=1

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Q: 18. If x? – xy + y? = 3 find y" (second derivative) %3D 18 12 12 18 В. (x – 2y) C. (x – 2y)² A. D. (...

A: Given:- x2 -xy +y2=3 To find:- y'' 

Q: Consider the following sequence: 9" {an} %3D 4n2 n=1 An+1 to show that the given sequence {an} is st...

A: This question is related to sequence and series, we will solve it using given information. 

Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A: Here, the given line is: y=-5x⇒yx=-51 So,  tan θ=yx=-51 (in II quadrant)⇒oppadj=51⇒opp=5, adj=1⇒hyp2...

Q: Vhich of the following is correct? A) dx = lim | 1 %3D xp- = lim 4 V.r+4 V.r+4 V.r+4 -2 V.x+4 B) S d...

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Q: Find the position vector i that corresponds to the vector graphed below. Note that each box in the g...

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Q: Evaluate the integral : S 8г2 +10х—6 (х—1) (х+1)2 dx = |

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Q: (a) Show that the limit xżycos y lim (x.y)→(0,0) 2x+ +y² does not exist. (b) If u = x cos y+ ye», wh...

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Q: (х+2)? x? - 4 dy 2y + dx х* — 4 |

A: dydx+2yx2-4=x+22x2-4

Q: Determine if the function is even, odd, or neither. State its symmetry, if a (a) f(x) = x° + 2x (b) ...

A: Given: a)f(x)=x3+2xb)g(x)=2x4-4x2

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z) w...

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Q: 3x2y + ey )dx + ( x³ + xev – 2y)dy=0

A: This equation is of the form Mdx+Ndy=0M=3x2y+ey ,N=x3+xey-2yChecking for exactness∂M∂y=3x2+ey ∂N∂x=3...

Q: Problem 5.1 List all the elements of Un for n E {2,3, 4, ..., 12}.

A: Un is a group in which all elements are relatively prime to n and less than n

Q: Step 2 14e-x2 and above the x-axis between x = 0 and x = 1 around the y-axis is Now we can say that ...

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Q: Evaluate | F • dr where F (0, y, – 4x), and C' is given by - F(t) = (t, sin(t), cos(t)), 0 <t<

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Q: (2) Consider the coin-tossing example we did in class (Lecture 9 on Feb 25). The coin parameters are...

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Q: f(x) = 1 is discontinuOUs at x=2 because %3D x- 2 A. f(2) is not defined B. lim f(x) is existing C. ...

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