Express in terms of i. V- 4

Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

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Q: (1) The number of organisms of a certain bacteria at time t can be modeled according to the function...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Since I can not b...

Q: (x-G -0 +2) dx + 2(x+2y+2) dy:

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Q: dy (10) (8у — х?у)+x- ху? — 0 dx

A:   Note:- Since you have asked multiple question As per our policy, we will solve the first question ...

Q: Activity: Investigate limlx| through a table of values. Approaching 0 from the left and from the rig...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: 1 x²e dx = 1 2. %3D 2T 10- I

A: First we use symmetry of even function then we let x2 /2=u then using laplace transform. 

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

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Q: Find the area enclored by the x-axis and

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Q: Solve for A, B, C and D in the equation A B Cx + D %3D x² (x² + 1) x2 +1

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Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

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Q: 3. Given r(t) = 12ti + 5cos tj + 5 sin t k , find the unit binormal vector and torsion

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Q: Rewrite the following expression in terms of exponentials and simplify the result. (cosh 3x + sinh 3...

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Q: Title: Limit Definition of Derivative and the Tangent Line Tasks: Solve the following problems compl...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given:  fx=x2-3 To Find:  A To find the average rate of change ARC of fx on the interval 4≤x≤4.1.B T...

Q: HOW DO YOU SEE IT? Using the graph of f, (a) determine whether dy/dt is positive or negative given t...

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Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

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Q: Let f(x)={x2+2x+1, if x≤3 ax+b,if x>3 Find a and b such that the function f(x) is differentiable e...

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Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: r(t) defines a curve. Find the exact numerical value of the length of the curve where t goes from 0 ...

A: r→(t)=2t,cos2t3/2,sin2t3/2 we have to find length of the curve when 0≤t≤1. The length of the curve i...

Q: 2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m³/s. The critical depth y for such...

A: Q=20 m3sg=9.81 ms2A=3y + y22B=3+yy= critical depthfy=1-Q2gA3BAim: We need to find theapproximate val...

Q: Homework: Unit 5 AS: Trigonometric Functions A function value and a quadrant are given. Find the oth...

A: We will find the value of other five trignometric function. Cot θ = -4, Quadrant ιν

Q: s Vã(4 – x)dx

A: Given: I=∫19x4-xdx We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx, ...

Q: What type of the conic section is this given equation: 4x2 5x +23 = 2 (10 – 2y²) %3D | O HYPERBOLA O...

A: please check the given equation. for given equation, none type of conic section exist.

Q: Direction: Find the derivative of the function. I+5 w = 2x - 7 Select one: 17 (2г — 7)2 17 (2x – 7)2...

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Q: Learning Task 3: Give the COTERMINAL for each angle. ONE NEGATIVE AND ONE POSITVE 1. 128° 2. 382° 3....

A: Given:- 128°  382° 535° To find:- Give the COTERMINAL for each given  angle. ONE NEGATIVE AND ONE ...

Q: x3-27 dx 2. ズ-3

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Q: Calculate the work (in joules) required to pump all liquid out of a full tank. b Assume a = 4 m, b =...

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Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast...

A: d[r^n]/dr = n r^(n-1)

Q: Learning Task 2 Use reference angle and appropriate sign to find the exact value of each expression ...

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Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: Find the area of the sector of the circle. r= 28.35 ft, 0=24.401° O A. 345.28 ft2 O B. 171.14 f? O C...

A: We can find the area of the sector as below.

Q: 5. This is the graph of the function f. The dashed lines represent the asymptotes. Select the x-valu...

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Q: 16 13. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the t...

A: Given that: r=165+3cosθ

Q: dy Use implicit differentiation to find dx tan(x+y) = x + y

A: To differentiate implicitly the given function.

Q: Given the equation below. Give what is being asked. |(-1+ tanx) dx = atanx + Bln|secx| + C %3D Find:...

A: Given ∫(-1+tanx)2dx=αtanx+βlnsecx+C  To find  α-β

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Theorem(s). please sle...

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Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)...

A: Let's find. 

Q: a) Find the divergence and the curl of the vector field F × G, where F(x,y,z) = 2x²yi – y³z²j – 2z²k...

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Q: Set up the integral to find the length of J (X) = e from x = You don't have to integrate it. 0 to x ...

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: Solution of given question is written in below steps.

Q: 16. The first derivative of the function f is given by f'(x) = 3xª – 12x³. What are the x-coordinate...

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Q: a) Find the inverse of the function. b) Sketch the graph of f(x) and f-1(x) on the same Cartesian pl...

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Q: An equilateral triangle has a side length of 1.4x+ 2 inches. A regular hexagon has a side length of ...

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Q: f(x) = x² + /7 – x, a=4

A: We have sove limit and showing function

Q: Given f(x,y) = x-y-3xy³. Evaluate fdx O 14y-27y3 +C 6 O -6y³ + 8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x...

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Q: Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D...

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Q: Direction: Find the derivative of the function. 1² + 3z + 2 z² – 3z + 2 Select one: -6 (z² – 2) (z –...

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Q: 4. If one card is drawn at random from a standard deck of 52 playing cards, what is the probability ...

A: Given that: One card is drawn from a standard deck of 52 cards.