= 4 sec 0. Find the Cartesian equation for the polar curve r =

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A: Given; r(t)=6cos(t)i + 6sin(t)j.

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A: Given data:- The given function, g(x)=ln(x2+1)x         for (0<x)

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A:

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Q: Find the indefinite integral. (Use C for the constant of integration.) (15. (15x38x) dx

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Q: Needed urgently... do it as fast as possible

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Q: 11. Find L-¹ {F (S)} for each function: (a) s²F (s) + SF (s) — 6F (s) = (b) F (s) = (c) F (s): s 1…

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A: Topic- Area using definite integral

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A: Solution is given below:

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Q: (a) Find a number x in the closed interval [2] such that the sum of the number and its reciprocal is…

A: We need to find x.

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A: Given.

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Q: 2 Verify that the Mean Value Theorem can be applied to the function f(x) = x 3 on the interval [0,…

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A: Answer of the above differential equation is

Q: Use sigma notation to write the sum. 1 7 (2) + 7 (3) j = 1 1 7(1) + 1 7(10)

A: The given sum 171+172+173+.....+1710

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A: We can find the answer as below.

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Given figure:-

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A: Given problems:- Find the derivatives of following  fx=∫0xt1-t33dt gx=∫7x3etcos7tdt

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

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Q: Recall that cos(bt) = = 1 -(eibt - e-ibt). Use the linearity of the Laplace transform to find the…

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Q: a f'm f(x) dx for the function f(x) graphed below. [Hint: No calculus is necessary-just as we used…

A: We can find the value of integral  of a function f(x) by using the area under the curve f(x).

Q: 22. Here is the region of integration of the integral ILS c. dx dy dz e. dz dx dy. (0, -1, 1) (1,-1,…

A: Given data:- Region of integration of the integral ∫01∫-10∫0y2dzdxdy

Q: Suppose (-3,6) is a point on the graph of y = g(x). (a) What point is on the graph of y = g(x + 6) -…

A: Given the point (-3,6) is a point on the graph of y = g(x) It means  6 = g(-3).

Q: If √√x + √y = 6 and y(9) = 9, find y' (9) by implicit differentiation.

A:

Q: RO= {0, 125 P(C) Complete the integral(s) that defines L(f(t)}. L(((()) = 17, 0st 0) Date

A: Given:- ft=70≤t<50t>5 Find:- L{f(t)}

Q: did i type this in right?

A: Yes you need to type 3t2+6 in the box.

Q: 5. Use Newton's method to find all four solutions of 4z cos(2r) - (r-2)2 = 0 in [0, 8 accurate to…

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Q: Part 2 of 6 (b) Use the function to approximate the Canadian population on January 1, 2030. Round to…

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Q: g(t) = 9(t) = tf - 2t+ 12 4 그리

A:

Q: Find the inverse Laplace transform of F(s) f(t) f(t) = f(t) = f(t) = = f(t) = 37 8 43 8 43 8 37 8 37…

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Q: Find a degree 3 polynomial that has zeros -3, 2 and 5 and in which the coefficient of ² is - 12. The…

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Q: Use Euler's method to approximate the solution of the following initial-value problem at t=12t=12:…

A: Given: y′=ln(y+t)          0≤t≤1           y(0)=1         with h=14

Q: A manufacturer can produce 5130 cell phones when a dollars is spent on labor and y dollars is spent…

A: Topic- Implicit differentiation

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Q: Find a polar x² + y² = 2y

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Q: Use the Laplace transform to solve the given initial-value problem. y""+ 2y" -y - 2y = sin(4t), y(0)…

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Q: Answer true or false. If f is not plecewise continuous on [0, 00>), then {f(t)} will not exist. O…

A: Note that, L{f(t)}=F(s)=∫0∞e-stf(t) dt...(1)

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the inverse Laplace transform 01 2 Ou44(1-4) usinh(t — 4) O sinh4(1-4) 0 1 u4cosh4(1-4) 01 4…

A: Given problem:- Find L-1e-4ss2-16

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Q: Locate all relative maxíma, relative miníma, and saddle points, if any. f(x,y) = 8x² + xy - 3y - 6x…

A: Given function, f(x,y)=8x2+xy-3y-6x+2.

Q: Find the exact value of the trigonometric function given that sin u = - 8 17 sin(u + v) Need Help?…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given functio 5s² - 10s + 50 s(s² +25) Your…

A: