Find the indefinite integral. (Use C for the constant of integration.) 2 cosh(x) dx

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about a = x0 |and then find the nth Taylo...

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Q: Please answer the last 3

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Q: 9. Evaluate f(e* + 2*) dx a.) 2e* + +C In2 b.) er + 2ln* + C c.) e* ++c d) e* + 2ln x + C In2 10. Ev...

A: Evaluate integrate. And follow step 2nd .  According to guidelines we solve only first three parts. 

Q: Suppose x = 6, 0 = 4 radians and ø 8 radians in the figure, which is not drawn to scale. Determine t...

A: x =6 θ = π/4 so apply trigonometric function tanθ = y/x y = xtan(π/4) y = x y =6 for right angle tri...

Q: 12. Evaluate ((1– cos x) dx a.) 1- sin x +C b.)x - cos x +C c.) 1- cos x+C d.) x- sin x+C 13. Evalua...

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Q: Find the solution of the following Differential Equations 2) (xdy- ydx)/x 0 4) 2x In(y)dx+ y'r dy 0 ...

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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: a. 2 sec (5x²) tan(5x²) + C b. tan (5x) + c c. 10 tan (5x) + c d. none of the above 27. Evaluate csc...

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Q: 2. xdy +(y-xy+2)dx=0

A: Given,           xdy+y-xy+2dx=0To find : Solve the differential equation.

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: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor eq...

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

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Q: Use the formula for the binomial series: m(m-1).--(m-k+1) k + m(m-1) 2 (1 + x)" 1+ mx + %3! 2! k! m(...

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 6 sin t y(t) = 3 – cost (a...

A: Let's find.

Q: the derivative of y with respect to the given independent variable.   y=(sin5x)^6x

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Q: What is the value of rez+1 ? 1+e-z df (0), where f(r) = dz Give your answer as an integer or as a de...

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Q: хdу + (у — ху + 2\dx — 0 %3D

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Q: 2/Given frx)= 3Xtl a evaluate (flof(s) 1-SUEJECT NOTEBOOR 9. fo

A: Topic:-  function

Q: what is the range of h(x,y)=ln(x+y-5)

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k + 7 k(k +...

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Q: Jse the difference an+1 decreasing. - a, to show that the given sequence {an} is strictly increasing...

A: Let's find. 

Q: A function and its first and second derivatives are given. Use these to find each of the following. ...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: The given series is: ∑k=0∞56k+3=563+564+565+566+... which is a geometric series with the first term ...

Q: Assume that f is continuous and | f) dt 3 sin х — х сos x. 0, (a) Determine f(;n). (b) Find f'(x).

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Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: 1. Given: az = 12, a3 = 24 Find: ao =? а. 2 b. 4 с. 3 d. 5 2. Given: a, = 16, a, = 1024 Find: a, =? ...

A: 1)  a2=12 , a3=24    Since the terms are in geometric progression    ⇒a3a2=a2a1=a1a0=rconsider a3a2=...

Q: 8. Show your complete and step by-step solution. dx 6. Evaluate – 16r? 2e" 7. Evaluate +4e'+6 8 Eval...

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Q: 26. If tan(0+ a) = 2 and if tan a = -3, what is tan 0? A) -1 B) C) 2 D) 1

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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: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges, a...

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence converg...

Q: 1. If x - y = 25, then y" = c.) d.) - a.) b.) 2. If y = cos(3x+1), find y a.) 3 sin(3x+1) b.) -3 sin...

A: Authoring guideline: As per the authoring guidelines, we can solve only the first three parts. Repos...

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: Given the curve in rectangular coordinates x² + 4x + y? – 8y = – 11 Find the parametric equations gi...

A: parametric equation of circle

Q: Use sigma notation to write the Taylor series about x = xo for the function. 6 In r; xo = 1

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Q: #1 only

A: Topic:- differential equations

Q: Find the domain of the function H(x) = 2x +3/x3-4x Solve the following (i) |10 - 3x | 13.

A: The given function,  H(x)=2x+3x3-4x Note:    Multiple questions are given, we are answer only one qu...

Q: Evaluate f(3v+ dx

A: As per our guidelines we are only solve one question (i.e. the first question from start) and the re...

Q: Find the radius of convergence and the interval of convergence. k (x + 3)* k=0

A: The summation of (5/7)k (x+3)k ; k from 0 to infinity.

Q: k + 1 2(- 1)k+1 5k + 1 k=1 The series diverges. O The series converges.

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Q: 2:(y –x² }tx+ dy =0 1.

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Q: 2. Given: a1 16, а4 1024 Find: az =? а. 12 b. 18 с. 36 d. 64

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Q: Use the distance formula to find those points whose x coordinates are either -4 or 4 and whose dista...

A: Distance formula for the two points (x1,y1) and x2,y2is(x2-x1)2+(y2-y1)2let (x1,y1)=0,0    and   (x2...

Q: Evaluate the integral ex /2e-2x – 3e2x xp-

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Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 + ...

A: Here is the solution

Q: y- 12e, y- , x-0, x-1 Sketch the region and a typical shell. Rotating a vertical strip around the y-...

A: Given:-the region bounded byy=12e-x2, y=0,  x=0 and x=1rotating about the  y-axisusing cylindrical s...

Q: 20. y + x + 4 = 0; (-2, 2) %3D

A: Topic = Derivative

Q: 6 for the Use sigma notation to write the Taylor series about x = function. 1 x+5 k =

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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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