Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

Q: Given that a, =3 and if a is even; a n+1 5a -1 if a is odd. Then tern number four, i.e., a, is

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Q: Jared was receiving rental payments of $4,000 at the beginning of every month from the tenants of hi...

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Q: 3x - 7x- 4 Find the derivative of y= .2

A: The objective of the question is derivative the given function.

Q: III. Solve each by factoring then chec- 31. x-x-2 (0 32. x²+ 16x - 36 = 0 33. 8x? - 6x – 5 = 0

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Q: Evaluate the integral dx 2xx - 3x? A -In 4 V2x + V3 +C 1 V3+ 2x B In +C 2/3 V3-2 +C In 2/3 "/7x + /3...

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Q: Find two functions f and g such that (f ∘ g)(x) = h(x). (There are many correct answers. Use non-id...

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Q: Function g is related to the parent function. Identify the parent function f. g(x)= -x³-2

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)4 = f(x) = D %3...

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: We have to find: limn→∞sin2022n+n20222022!+n!. We can take the limit inside of sin as the limit is o...

Q: 22. Determine f(x) so that cos(In²x) f(x) dx = sin(In²x) + C (a) 2 In x 2 In x (b) Inx (e) NIK

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Q: tan - de 3 3 sec

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution for q...

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: The given sequence,  522-12, 632-22, 742-32,.........

Q: Find the radius of convergence of the power series. (If you need to use o or -0o, enter INFINITY or ...

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Q: 11. y = coS x COS X -2 tan x 12. y = x? sin x tan x 13. у %3D 1 14. y = --3 sin x 15. y = x cot x

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Q: Find the derivative of the following functions using the definition of the sine and cosine function....

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Q: 1+ In x 6. Find f(x) so that when u = f(x) the integral J tan(f(x)) dx can be rewritten as | cot u (...

A: Solve by integration

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 f(x) = 8.

A: The given function,        f(x)=11+x5

Q: Find range of function f(x): b) f(x)= (2 – x)V 4x – x²,xE (0, 4) -

A: b)   f(x)=(2-x)4x-x2 , x∈(0,4)         plot the function on the graph    

Q: Use sigma notation to write the Maclaurin series for the function 11 In(1 + x) -1*+1. 11 · k = 1

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A: According to question,Given differential equation,y4x + y  dx -2x2 -y dy = 0

Q: Solve the differential equation below: y"+9y=(6+3)x^2+5cos[(9+2)x]; when x=0, y=0, y′=3

A: Given that y''+9y=6+3x2+5cos9+2x   ; when x=0,y=0, y'=3Solution :y''+9y=6+3x2+5cos9+2xD2+9y=9x2+5cos...

Q: 8. rix of A using LU decomposition. 4 6 0] 6 12 2 8 4 A = %3D

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Q: 1. Consider the integral | 2'nx g(x) dx . There is a function g(x) such that when u = In x the resul...

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Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

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Q: 7. dx For the integral which of the following options is correct? A. lim (x – 1)½ |", + lim (x – 1)½...

A: ere, the given integral is: ∫-12dx(x-1)23 which is an improper integral of type 2 because the integr...

Q: At 10:00 Philip started to cycle along the road from his house towards the city centre. He was cycli...

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Q: Consider sequences n+1 n+2 (1) tan 2n (i) n+ (- 1)". Which of the above sequences are monotonic: A. ...

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Q: Jaspreet set up a fund that would pay his family $4,500 at the beginning of every month, in perpetui...

A: We can evaluate the following as follows

Q: For each of the following problems, Set up the integrals representing the volume of the solid genera...

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

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Q: Solve. y+2 y-10 = 3 4 3 Select the correct choice below and, if necessary, fill in the answer box to...

A: We will find the solution of given equation as shown below

Q: 14. If we let u = 4x – 1 for the (2tan(4x-1)-3 cos“(4x=1) dx. what will be the cos(4x-1) resulting f...

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Q: Find an equation for the graph sketched below 8- 7- 5-

A: Given: - The graph is, To find: - The equation for the graph.

Q: Given the improper integral dr. Which of the following statements is TRUE? A Integral converges to -...

A: We will find the statement which is true for the given integral in the following step.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the fu f(x) = -, C...

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Q: Find the coordinates of a second point on the graph of a function  f  if the given point is on the g...

A: Since we know that the graph of an odd function is symmetric about origin. i.e if the graph has a po...

Q: Solve. 7 6 x +

A: Given :     57+16=1x

Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f '(1). f'(1) = %3D %3D

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Q: Consider the following approximations for a function f(x, y) centered at (0, 0). Linear approximatio...

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Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 8x + y - 8y + 2 on the closed tr...

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Q: An swer the po llowrng lim f (x) xータ-2f 2. Im t(x) Inn

A: Given

Q: One of the following is an improper integral. cln 3 e* dx dx J, xV16 – In x In 2 V4 - ex In 2 CA dx ...

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Q: Use the table of values to calculate the derivative of the function at the given point. 1 4 6. f(x) ...

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Q: 2. The seventh term of a geometric sequence is -2 and the tenth term is 128. Find the fifth term. 3....

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Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n>1              ..(i) We have to show that Sn  is not an...

Q: Angela leased equipment worth $45,000 for 7 years. If the lease rate is 5.50% compounded quarterly, ...

A: This question can be solved by applying the formula of Present value of annuity due.

Q: 6. Let P, Q, and R be points in space that do not fall on the same line, and let u = PQ and v = PR. ...

A: Triangle law of addition of two vectors

Q: A stone is dropped from the upper observation deck of a tower, 150 m above the ground. (Assume g = 9...

A: Given

Q: Calculate the limit. lim (-1)"n? (Give an exact answer Use symbolic nototi

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