24) Madaurin 4th order of f(x) = sinh(sinx)

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x²,0 ≤ x…

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Q: The path r(t) = (t) i + (3²-2) j describes motion on the parabola y = 3x² -2. Find the particle's…

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Q: Scot³ (x²) csc² (x²)x dx Туре u u |

A: To evaluate the following integral. ∫cot3x2 csc2x2 x dx

Q: find the general solution (GS) of the following initial value problem (IVP): y₁ = y₁ + 3y2 where y2…

A: The given system of differential equations: y1'=y1+3y2y2'=13y1+y2Initial conditions are:  y1(0)=12…

Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

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Q: Find the first three terms of the Taylor series in x - a. ex. a=3

A: Given that a function f(x) = ex and a=3. We find first three terms of taylor series.

Q: 5. Find the plane containing the line given by x(t)=4+3t, y(t) = -5+5t, and z(t)=3+8t that is…

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Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

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Q: Find the area of the surface generated by revolving the curves about the x = sin t, y = 1 + cos t, 0…

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Q: ₁²√3x²2dx, u = 3x² - 2 du

A: Use the u-subsituation

Q: SKETCHPAD Question 16 What unit vector is in the same direction as v = 2i - 4j?

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Q: (x² + x)ex³+³x dx

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Q: Sketch a graph of the function sin(x-45°) + 2. Please state the range.

A: Let f(x)=sin(x-45ο) + 2

Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: Evaluate the integral. S -21e - 25 e2x + 6ex + 5 -dx

A: To evaluate the following integral. ∫-21ex-25e2x+6ex+5 dx

Q: Find the distance, d, between the point S(9,3,6) and the plane 1x + 1y+7z= The distance, d, is…

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Q: What is the domain and range of the following function? 34. y

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Q: (c) Use the Chain Rule to compute af s^3t^9 + 3s^3 t^12 + 2st Əs In (c) express your answer in terms…

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Q: Given below are descriptions of two lines. Line 1: Goes through (−12, 50) and (−3, 14) Line 2: Goes…

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Q: 7. fc (x + 2y) dx + x² dy, C consists of line segments from (0, 0) to (2, 1) and from (2, 1) to (3,…

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Q: 3. Use the Fundamental Theorem of Calculus Part I to determine the derivatives of the following: (i)…

A: We need to solve Integral problem.

Q: Ja 3 x√x - 2dx

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Q: Find the area of the given region. y = sin² πx y 1.0- 10.5 y=sin² лx 0.5 1.0

A: Area below the curve is the definite integral of the curve in given limit of region

Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: 3. A parallelogram is formed by the vectors OA = (6, 3) and OB (-1, 1). Determine the acute angle…

A: A parallelogram is formed by the vectors OA→=6, 3 and OB→=-1, 1.   To determine the acute angle…

Q: Evaluate the integral. (Use C for the constant of integration.) [₁ 7 tan²(x) dx

A: We have, ∫  7 tan2xdx

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

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Q: Michelle invests in a savings account that pays 8% interest compounded monthly. What is the APY for…

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Q: The subject is: PrecalculusThe general subject is: Introduction to Calculusand the specific subject…

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

Q: The pulley wheels are subjected to the loads shown. Determine the equivalent force-couple system at…

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Q: For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0…

A: Given that valocity v(t) = - t2 +4. And interval is t=0 to t=3. We find displacement on this…

Q: 5 Set up only $$$ 6xydu where W is the sold asked = By two perabolous 23x² + y² $2=8-x²__y² Sketch…

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Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. e³x √-3 da…

A: If the integral valu finite then the integral is convergence And integral valu not finite then…

Q: Given below are descriptions of two lines. Line 1: Goes through (3, 29) and (−3, −25) Line 2: Goes…

A: We know that the slope formula between two point (a,b) and (c,d) is  Slope (m)=(d-b)/(c-a)

Q: The least common multiple of the monomials 8a³x6 4a²x6y, abx³y² is: O(a) 8a³x6y² (b) 8a¹bxy2 O(c)…

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Q: Let f(x, y, z) = 3x6y + 2xy + 4yz7. Find the requested iterated partials. (Use symbolic notation and…

A: f(x,y,z)=3x6y+2xy4+4yz7

Q: Evaluate the integral See ex -2 dx Note: Use an upper-case "C" for the constant of integration.

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The given differential equation is;  9y''-16y=sin(x)

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

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Q: Sketch the region then reverse the order on integration for Sx=0 Sy=x²-6x f (x, y)dydx

A: ∫x=07∫y=x2-6xxfx,ydydx

Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

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Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is;  y''+2y'+2y=24ex(cosx-sinx)  yp=6excosx y(0)=0, y'(0)=1.

Q: Let f(x, y) = x+y+xy. d First, find g(x, y) = f(x,y). Then, calculate g(2, 3). (Enter the exact…

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Q: Solve the following differential equation y"+y' = sec(x).

A: We have,     y'' + y'  = sec (x)

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

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Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: Determine the following limit: 2e 2x Him (2²-2-2) x-0

A: limx→02ex-2x-25x2

Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

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