4. S(x² – 1) Vx + 4 dx

Q: 4. Assignment For group presentation. Select 2 from the following list of items. Submission link can…

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Q: Find the Laplace transform of the following periodic function? 0 <t < t TT <t < 2n cos t 1- f(t) = {…

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Q: The following series is divergent: 3n 3n Зп — 6. - 3 — 2п | n=1 Select one: O True O False

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Q: How did he get the second derivative step by step and a clear line please 9 -- F(x) = 1+e siny x…

A: To find out the second derivative.

Q: - (x - 2y) dy + (5x² - 5y³) dx = 0 %3D

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Q: fex) = I+ sinu x f(x) = 1T fcx) =-15 * sinux - secos4X %3D = -15 e sin4X- se"cos4X mL

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Q: Find the equations of the horizontal and vertical Tangents b. x3 + 3x2 - y? = 0

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Q: b) Performing the substitution yields the integral c) Once we integrate and substitute, the final…

A: We can solve this as follows:

Q: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle.…

A: Explanation of the answer is as follows

Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: Determine the value of lim,00 7²+5 a +3r+7

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Q: Find the arc length of the curve with parametric equations x = e-t cost and y = e-t sint on the…

A: We have to find the arc length.

Q: dx S. 2x - 1 e

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Q: What is the answer for C I cant read that hand writing

A: We can solve this as follows:

Q: а. 4(е?) b. 4(e² – e*) с. 4(e* — е?) d. 4(e*) e. None of the above DA DE D.

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Q: Suppose a(t) = 2 m/s²gives the acceleration of a particle moving along a line in…

A: We have to find the velocity function, displacement and distance.

Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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Q: e definite integral o5 tan(x)dr using strips of width for the trapezium rule correct to three…

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Q: f(x+h)-f(x) 8x3-4х-2 sing ļim find the slope of the tangent line at y = at x = -2. h Зx+6

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Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

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Q: Sx? cosh 5xdx

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Q: Solve the triangle. (a) AABC, where ZA = 41°, a = 3.3, b = 5.4. %3D (b) AABC, where ZC = 50°, b =…

A: To solve for the triangle using given data.

Q: ) Use the Integral Test to determine whether the series 1 is convergent or divergent. n=1 (3n – 1)?…

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Q: what is the curl f?

A: Let F(x,y,z)=f1(x,y,z)i+f2(x,y,z)j+f3(x,y,z)k be a given vector function. Then curl F is given by,…

Q: (d) In(2x - 3) + In(x) – In(x + 1) = 0

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Q: what is the growth rate of the cells after 6 hours has gone by

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Q: The answer seem to be incorrect. By the way, this is a calculus question and not physics. The…

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Q: Find the second derivative of + e® sin y + 3xy = 0 y? %3|

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Q: Find the area of the shaded region. r = Vcos 20 r = 2 cos 0 NOTE: Enter the exact answer. 11

A: We have to find area.

Q: I would like to ask how 00 became 1? I think it is undefined.

A: Given;  Limx-0+Sinxtanx.

Q: 13 Fimel thenadiuy.of.commergene afthe serves Σ 2m+2)(2mq4)

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Q: +1)dy/dx+y=lnx If what method of differential equation

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Q: Find the distance between points P, and P2. P,(4,5,2), P2(6,2,8) The distance is (Simplify your…

A: The distance between two points P and Q is given by: d(P1,P2)=(4-6)2+(5-2)2+(2-8)2

Q: dy 18. 0 do 2y = 0 sec 0 tan 0, 0 > 0, y(7/3) = 2

A: Given problem:- θ dy/dθ -2y=θ3 sec(θ) tan(θ) , θ&gt;0, y(π/3) =2

Q: x'dy +xydx x²dy + 2y dx

A: Given problem:- x3 dy+xydx =x2 dy +2ydx

Q: 1) Š(-1)"- n² 2" n=1 a) Show that the series is convergent.

A: We have to show that the series is convergent.

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given that a function f(x)= x2 + ax + b . And local maximum at point (17,-5) we find the value of a…

Q: Finding Area by the Fundamental Theorem Find the area of the region. See Example 2. y = 7eX/3 2 -2 2…

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Q: How did you get the volume of the hole and the ball? Referring to 4/3pi in the beginning

A: We know volume of a sphere of radius r=43πr3 cubic unit

Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: -2 is a critical number of the function f(x) = V2x - x². Select one: True O False

A: We can solve this as follows:

Q: Find the equation of the tangent and the equation of the normal to the curve y = x + - at the point…

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Q: Question 2 Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of…

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Q: 12

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Q: sin* x cos? x dx

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Q: Question 3. Motion with Gravity: su Neglecting air resistance, the motion of an object moving…

A: Let's find.

Q: Change the following rectangular equations to polar form. Show work on separate paper. 14. x² +y°…

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Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

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Q: 3. f(x)== 4. f(x) = + 1

A: 3) f(x)=1/(2x)  4) f(x)=(2x-4) /(3x) +1

Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? a. Concave upward on (1, 0)…

A: Here we have to check the concavity of the graph.