As a result of losing a tug-of-war match, Mr. T is in the middle of a ditch. A group of people generously throw Mr. Ta rope, and attempt to pull him out. The tension in the rope is 5000 N, at an angle of 25° to the horizontal. Draw a diagram showing the resolution of the force into its rectangular vector components. In addition, determine the magnitudes of the horizontal and vertical vector components of the force.

Q: Use long division to divide. (Simplify your answer completely.) (5x³-16 - 20x + x4) = (x²-x-3) 1-√13…

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

Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx y = S₂ 9x² +9

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A: The given function:fx=e5xWe need to find the Taylor series centered at 0.

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A: We know, Average velocity =Total DisplacementTotal time

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

A: The given intregration,∫sin2θ3-7sinθdθ

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Q: Graph the rational function. -5x-15 f(x)= x²+2x-15 Start by drawing the vertical and horizontal…

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Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx = √√√9x² +9 y =

A: Let's solve integration by using trigonometric substitution.

Q: Sketch the graph indicating maxima, minima, asy 4-x³ function: f(x) = x3

A: Given: f(x)=4-x3x3

Q: * - 6x 7e لا 87 لحملاملا

A: We need to solve D.E.

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between…

A: Here are the solutions:

Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: Find the volume of the solid obtained by rotating the region B about the line y = -2. A B

A: Given problem:- f(x) = 4 - x2 , y = 4,x = 2  Given graph :-     To find:- Find the volume of the…

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

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Q: Given the initial condition y(0) = 1, find the particular solution of the equation y' = e3x - 2y

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A: A tank initially holds 80 gal of a brine solution containing 18 lb of salt per gallon. At t=0,…

Q: i/ - y - y - 6y = ex - الا و

A: Given

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Q: 7. Evaluate a root using Muller's method from the function. Terminate if Es < 0.0055% f(x) = 0.5x4…

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Q: A baker sells cupcakes and bases her prices on the number of cupcakes purchased. 72Total Cost 66 60…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-x, n = 5 2 4 P5(x) 1-x+ 2! 5! X 3 3! x…

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. U = x-yz +y³

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Q: 1. Using the diagram below, fill in the blanks. B A D G F H E Column A: a) AB+ BC b) FE+FG c) HG+FB…

A: We need to fill in the answers.

Q: 2 /// }} لال ملاملا

A: The given equation is;  y'''-y''-6y'=ex.

Q: Find the cumulative density function for the given probability density function. k(x) = 0.8 -0.8x,…

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Q: 8. Find the length of the curve r(t) = from t = 1 tot = 5. 9. Find the curvature of the curve r(t)…

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Q: By using the differential operator D and it's inverse, solve this equation: y"+3y'-4y=sin(3x) sin…

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Q: Evaluate the following integral by using Odd and Even Powers Method: y = cos(x) dx =

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Q: 3x 4) 4. S-001+ 6x dx = 1+e6x a. Diverges b. converges to TL 8 c. converges to It d. converges to TL…

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Q: Question Use the graph of f(x) shown below to determine each of the following limits. Provide your…

A: Find out the limits.

Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

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Q: # √² + y = 2 Y = 10 + 3X

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Q: Determine the Cartesian equation of the plane that contains the line = (7,2,-1)+ a(4,5,1) and…

A: Given problem:- Determine the Cartesian equation of the plane that contains the line = (7,2,-1) +…

Q: Solve the initial value problem. 1. y'=4xe2x²cosx - ytan x, where y(0)=1

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Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: 4) The area of the surface generated by revolving x=y²-1, 1≤ y≤ 2 about x-axis is S=.

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Q: Within y = 4x², x = 0, y = 16; about y axis

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Q: Evaluate the integral: LIVE 1 I√9r²+25 dr.

A: We will solve the given question using simple Integration rules.

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = ·S dx (x - 1)².…

A: The integral is y=∫ 2x2-3x+2(x-1)2(x-2)dx

Q: 8 Y + 2√² + 2y = 10x + 25

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Q: Helicopter Task Introduction: An observer at Point A makes measurements that show that the peak of…

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Q: Solve the initial-value problem y"+5y'+6y=0, y(0)=2, y'(0)=3

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Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

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Q: Explain why the integral is improper. 49 1 1²0 √/x dx X 1.6 1.4- 1.2

A: Given improper integral I=∫049    1x   dx

Q: 5.) (ya+yx) dx -x ² dy = 0 ny Simplier) + xbx = vbe+bv=xb. Y = VX keta dy=vdx + xdvo (v²x²+xx²) dx…

A: We want to solve the given homogeneous differential equation.

Q: general solution of the differential equation y-14y+49y"=0.

A:

Q: 2 Within x² - y² = 16, y = 0, x =

A: