The position of the particle at timet is given by s(t) = t² – 10t + 24. The particle is moving from right to left at t seconds. 6 4 10 O 13 O 12 O o o o O

Q: 13) The marginal cost function for a particular commodity is given by C'(x) = 6x-17. If the cost of ...

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Q: 4. Complete each statement: a) The points of inflection are found by solving the to zero. equal b) T...

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Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

A: Solution:

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: 11. Find the radius of convergence of the following power series. a. Ση! (r- a)". | b. Σ (x-2)" Vn² ...

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A: A detailed solution is given below

Q: 10. Seta x² dx A 2 е** + C с 1 + С B 3 e** + C D 1 + C 3.

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Q: Find the area that are bounded by:  y=x2+5x and y=0 from x=−2 to x=1.

A: Given: - The curves are,y=x2+5x and y=0 from x=-2 to x=1 To find: - The area that area bounded by gi...

Q: 1. Consider the following polynomial function graph of f(x) (use the letters as a guide) a) State th...

A: Graph of the function is given, we have to find the required values

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A: Telescoping series is the series in which all but the first and last terms cancel out .

Q: 5 - 4x² _dx 4. 3 + 2X

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Q: Use the Midpoint rule to deterine the Intergral for the error Function (erf)(belou) 4caurete to with...

A: ∫01e-x2dx here we can take 4 interpolation point so n=4 so h = (1-0)/4 = 0.25 x0=0 x1=0.25 x2=0.5 x3...

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

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Q: Exercises Find the solution of the following Differential Equations 4) x'y' = y +5xy + 4x y+x 6) y':...

A: (4) this is a homogenous equation.  Put y=vx  According to guidelines we solve only first question. ...

Q: x? — х -2 lim 2 x +3x + 2 X→-1 X

A: First we factories then take limit. 

Q: Question (see above) EXAMPLE ONLY: 3. x? + 5x – 5 on [-6, 2] Proving that the function f(x) = x? + 5...

A: Solution is given below:

Q: cos x dx sin? x cos 4.

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Q: Use any method to determine whether the series converge. 5 (a) E k=l Vk +1 This series cos () (b) > ...

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Q: 3.18 Find the gradient of the following scalar fields and evaluate the gradient at the specified poi...

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Q: ) y= tanx+ sin x 0<x<27 (k) y=sinx -2n Sx< 2n

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Q: Given: cosg= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

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Q: Find the exact length of the curve. X = 3 3D 글Vy (y-3), 9sys 25

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Q: 8. 2 sin? x- V3sinx = 0 9. 3 csc(2x) +6 = 0 %3D 10. 2 cos? x = 2+ sinx %3D

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Q: 4. S (sint + cost t ) dt A - cos t + sin t + C C - cos t- sin t + C B cos t+ sin t + C D cos t- sin ...

A: 4. In this question, we need to find the integral.

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A: This is a graph problem

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A: Formula: Derivative of u/v = (u'v-uv') /v2  

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A: Solving the problem by finding the value of integration.

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Q: 6. 2x3+3x dx x4+3x2 C 1 In lx* + 3x21 + C + C In(x4+3x2) 1 1 In Ix + 3x21 + C +C 2 In(x4+3x2) A B O ...

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Q: 9) ſ cos“ x sin x dx X

A: topic- indefinite integral

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Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)   Considerlimx→-1-g(x)=limx...

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Q: Find the solution of the following Differential Equations 8) y' = tan(x+ y)–1

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Q: Obtain the solution using Integrating Factors Found by Formulas a.)  xydx − (x2 + 2y2)dy = 0

A: I am attaching image so that you understand each and every step.

Q: Given: sin a= and sin B= , 0< a < and 0 < B< ! Find cos(a + B) 33/65 14/65 63/65

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Q: aph of f shown below has vertical asymptotes at x= -1 and x=2. Analyze the following limits. OA. lim...

A: Limits

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t³ – 9t ...

A: Given problem:- The position of a hummingbird flying along a straight line in t seconds is given by ...