Solve using the U-Technique Question 18 dx du The integral S; reduces to f ka", where u = f(x) and for some constant k . Compute f(1). ex+1 А) е+1 B е - 1 e +1 e D

Q: Use sigma notation to write the Taylor series about x = xo for the function. 4 In x; xo = 1

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

Q: f(x) = 15- (3-t)(r - 8t + 7)

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Q: k If u = f (x), then f dx x4+2x2+1 +C for some constant k . Compute kf (1). x2+1 %3D

A: We have to find kf(1).

Q: A pair of parametric equations is given. x = Vt, y = 9 t (a) Sketch the curve represented by the par...

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

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Q: The graph of one complete period of a sine curve is given. y 9- 3 A -9 (a) Find the amplitude, perio...

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Q: 5. у'+2у %3D х2

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Q: graph the folloring f un Ction %3D

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Q: An+1 -to determine if the sequence is strictly increasing or strictly decreasing. Use the ratio 1 5n...

A:   The given series is n5n+7n=1∞ Let the sequence  an=n5n+7. Now, an+1=n+15n+1+7.  

Q: Given: 5x cos 3x dx. If u = 3x, then the resulting integral is f(u)du. Find f ): 5/2 18 18 5/2 12 5/...

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Q: ollowing functions: b) y = (cos x)Vx*

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Q: Find the derivative of the function at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +...

A: To find the derivative of the function  g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of u=3i+4j=<...

Q: the

A: We will find the derivative. 

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: sin S S. cossx (3-2secs)

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Q: 8 구 6 5 4 10 -9 -8 -7 -6 -5 -4 -3 -2 2 -4 -6- -10- Find the parametric equations for the graph shown...

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Q: (9cosx+y°cosx) dx +2ysinx dy = 0, y(5)= -4 the value of the constant (c) of this D.E will be:

A: Solution is written in below steps.

Q: For the binomial series: (1+x)" = 1+ mx + m(m-1) 2! 1 + E m(m-1) k=1 8. %3D laurin series for V1 + x...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: To find the Taylor polynomials of orders n=0, 1, 2, 3, and 4 about x=x0 and then to find the nth Tay...

Q: Find the derivative of the following function using the limit definition f(z) = 2z4 − 4z2 . Find ...

A: f''(z) derivative of the function  f(z) = 2z4 − 4z2  using the limit definition

Q: a. When the observer initially spots the ship, the angle of depression for the observer's vision is ...

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Q: 3. A statue 3 mhigh is standing on a base of 4 mhigh. If an observer's eye is 1.5 mabove the ground,...

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Q: Using u-substitution, the integral f(x)dx reduces to a new integral f g(u)du. If g(u) : u+1 evaluate...

A: ∫f(x)dx = x + ln(x-1) +c we have to find f(x) so we have to derivate the ∫f(x)dx so f(x) = 1 + 1/(x-...

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 2 In x; xo = 1 k =

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Q: -1)k+12 11 17.-(6k – 7) Use the formula for the binomial series: (1+ x)" = m(m-1)2 t … + m(m-1)(m-k+...

A: Here, the given function is: f(x)=1+66 And, the given binomial expansion is: (1+x)m=1+mx+m(m-1)2!x2+...

Q: Evaluate the integral using tabular integration by parts. 4 x V2 x +1 dx +C %3D

A: LetI=∫ 4x32x+1dxPut 2x+1=u2x=u-1x=u-12differentiate 2dx=dudx=du2I=∫ 4u-123udu2I=∫ 4u-138udu2I=∫ 14u-...

Q: B In Problems 31-40, find the intervals on which the graph off is concave upward, the intervals on w...

A: Find your answer below 

Q: Solve the given differential equation by separation of variables. (e + 1)?e-Y dx + (e* + 1)Se-* dy =...

A: Given:- (ey +1)2 e-y dx +(ex +1)5 e-x dy=0 To find :- General equation of given differential equatio...

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = xo and then find the nth Taylor...

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Q: Find the derivative of the following functions using the limit definition.  1. z =7y2- 11/y 2. f(z...

A: From limit definition of derivative we know, f'(z)=limh→0f(z+h)-f(z)hand f''(z)=limh→0f'(z+h)-f'(z)h

Q: Evaluate the integral. 7 sin-x dx +C NOTE: Enter the exact answer in expanded form.

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Q: Fcx)-2メー3)ー4

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

Q: Evaluate the limit. If dne, explain. (2cos(4x² + 7) + [6x² + 4] lim X→+∞ 4x2 + 7

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Q: 2 tan(4x-1)-3 cos² (4x-1) If we let u = 4x – 1 for the dx, what will be the resulting integrand? cos...

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Q: answer

A: We can find the derivative of the fucntion F(x) which will give f(x) and then match the columns. 

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotxldx=0is

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Q: k(k +7)

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Q: Find the indefinite integral. (Use C for the constant of integration.) |zV 16z2 - 81 zp

A: ∫1x2+a2 dx = 1aarc tan(xa)+C

Q: 9 cos `x sin x dx

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

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: 32. In y = 2y² - x; (2, 1)

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Q: Solve using the U-Technique Question 15 Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integ...

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Q: solve question 32 with complete explanation asap

A: Topic:- complex number

Q: Find the derivative of the function. (t) = (9t + 14)2/3 6 f '(t) = (9t + ly)1 3

A: Given that        f(t) = (9t + 14)2/3 Here we have to find f'(t) .

Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

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Q: 1. Given: a2 = 12, a3 = 24 Find: ao =? a. 2 b. 4 с. 3 d.

A: Topic:- sequence and series

Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value ...

A: we use the formula ddx(ax)=ax lna

Q: Given A=3az +3ax -2ay, B=2ay -ax +5az, C=3ax +2az +2ay and D=-ay +3ax -2az. Find scalars a, b and c ...

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Q: If k-P converges, then k-p+0.001 converges. k=1 k=1

A: If ∑k=1∞k-p converges, then ∑k=1∞k-p+0.001 converges.