Find the amplitude of the graph of y = - 5 sin O 167 8. 05

Q: Find r'(t)⋅r''(t)forr(t)=−3t^5i+5tj+2t^2k

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Q: Match the function on the left with its antiderivative on the right side Submitted Answers Prompts C...

A: Anti derivative: If ddxf(x)= g(x) Then: g(x) is the derivative of f(x) f(x) is the antiderivative of...

Q: a) On what interval(s) is fincreasing? b)On what interval(s) is ƒ decreasing? c) Where does f have a...

A: We want to find the intervals where f is increasing and decreasing. And also the local minimum and l...

Q: Evaluate the integral. dx 3x2 + 11x + 6 0.

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Q: dw 4 Which of the following characterizes the differential equation +v= 0? A 2nd order, 4th degree O...

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Q: a | sin(Inx)dx =x[asin(lnx) + dcos(Inx)] + C Find: a + B + 8

A: Here, to evaluate: I=∫sin (ln x) dx...(1)  

Q: In( sin(x))dv using simple substitution, dv =f (x)dx_Determine the valut of /(x) if In order to eval...

A: The given integral is: I=∫lnsin x dv

Q: (x )dv, using simple substitution dv=f(x)dx_ Determine the value of f(x) if To evaluate the integral...

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Q: Express the repeating decimal as a fraction. 0.2513 23 23 23...

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Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: Note:- “Since you have posted multiple questions, we will solve first question for you. To get remai...

Q: Examples: Find the limits of the following: 4. lim tanx tan"(-0) = - 2 5. lim secx = lim cos (-) = c...

A: Given:   Limit Equations is given

Q: Supoose that vou are given the task of leaming 100% of a block of knowledge. Human nature is such th...

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Q: Please write your solution on a paper. A certain radioactive material follows the law of exponentia...

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Q: Find the Maclaurin Series of tan-(x2) at x = 0.25

A: First we find Maclaurin series of taninverse x then replace x by x2 

Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

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Q: k-1 10 %3D 11 k=1 The series diverges

A: By geometric series sum formula,           ∑n=1∞ -1011n-1=11+1011=1121 So, the series converges.

Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 si...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: VI. Show that ydx = y dx it must be (a <h<b)if f(x) = 2x, a = 1, h 2 and b %3D = 4 20. f(x)dx is equ...

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Q: In each graph, a parent function has undergone a transformation of the form f(kx). Determine the equ...

A: We need to find the equation of transformed graph red using the graph of parent function green.

Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

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Q: Evaluate the following integral sec(/T) tan(VT) dx

A: The given integral,      ∫secx tanx dx

Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

A: Using application of integration

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

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Q: Evaluate f(e* +2*) dx a.) 2e* ++C b.) e2* + 2ln* + C c.) e* ++C d) e2x + 2ln x + C Evaluate fesx-2 d...

A: This question is based on indefinite integral.

Q: x+2 f(x) = +x-12 ... UA. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Us...

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Q: A solution of a differential equation which cannot be generated by specializing the parameters (arbi...

A: To find out the correct option. 

Q: rrect. Canvas uses right minus wrong scheme in checking multiple Question 6 What is the integrating ...

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Q: Consider the initial value problem and find the solution: a. y" – 3y" +y' + 5y = 0, b. y" + 2ay' + (...

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Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

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Q: Solve the differential equation (xy² + x – 2y + 3)dx + (x²y – 2x – 2y)dy = 0 -

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Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = + 4...

A: The equation of the family of parabolas with vertex and focus on y axis

Q: 15 dx Evaluate V9+ x²

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Q: / In(sin(x))dv In order to evaluate the integral expression using simple substitution, dv =f (x)dx D...

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Q: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

A: SOLUTION-

Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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Q: Write the first five terms of the sequence: +oo {Vn² + 7n – n}n=1 - Determine whether the sequence c...

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Q: Determine the domain of f(x, y) = In (x² – y) %3D А. On and above the parabola y = a. В. On and belo...

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Q: Find the derivative of y with respect to x. y = 8 In (4 In x) dy dx II

A: Topic:- derivatives

Q: y'-5y= x'e* – xe* ito

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  use the root test...

Q: 3x² sin? x dx

A: Follow the procedure given below.

Q: 23. Evaluate f-43*+3 dx a.- 3 In 4 b.- *+3 -+ C -3 In 4 С. - In 64 + C d. none of the above 24. Eval...

A: We have to evaluate these integration by assuming some terms who convert it in simple integral. 

Q: 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.

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Q: 6. The area of a rhombus is 143 m?. If the longer diagonal is 26m finc the shorter diagonal in inche...

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Q: II. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1...

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Q: b) Find the solutions qf th equation 4.1.2 D Ø(D) 1. (D3 – 6D2 + 5D): 2. (4D2 - 3D- 10):

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: The given series is geometric series. In which a=-10/11 and r=-10/11.

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Given that, There are two statement following, 1st : xsiny' = (x2 + 1)(y''')4 is a 4th degree ODE. 2...

Q: F. Planes and Lines O Find an equatin The plane each of whose paints idistant to The agu w eq point ...

A: Here ,              We have given two points which are               equidistant from each points of...