1. Determine the resultant of the following. Show your complete solution and the illustration. 1. 30 m W and 75 m N 2. 2km E and 4.5 km S

Q: ylinder radius = 19 cm and height = 31 cm. Use your calculator’s pi button and round answers to two…

A: Given: Cylinder radius = 19 cm and height = 31 cm.

Q: Solve the following D.E 3) у" — Зу %3D 0

A: Given:    yy''-3y=0    solve the differntial equation.Concept:- D.E can be solving by writing…

Q: Find the solution for the following IVP equation. y" – 10y' + (25 + n²)y = 0 y(0) = 0, y'(0) = te…

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Q: v = y ln (x² + z*), find vzy. w = x²/(y² + z²), find d³w/ôz ðy².

A: To find  vzyy, where v=ylnx2+z4

Q: Solve the following aifferen tial equations |. x* dy = (4x* +5xy +y*) dx 2 2x + y X -24 2. dy dx

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Q: ev dx is equal to which of the following? Using the substitution u=v .2 B 2 e"du 16 © 2 e"du ,2 e"du

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Q: Subsitulion Solue The DE using subsitilan metorJ

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Q: If MX = 21.6, find LZ and MW. %3D K 6.1 W 丰 7. M 丰 Y

A: Intersection point of median divides the each median in the ratio of 2 : 1.

Q: Solve the following equation for 0 where 0 <0 <n. 5л sec( 20 + 27л = csc 20 - 14 Provide your answer…

A: Given trigonometric equation is: sec2θ+5π7=csc2θ-27π14

Q: 4. Consider the given diagram. 5 mm a° b mm 4a Solve for a. tervournextstep here

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Q: 1.2e*cotydx + (1 + e*)csc?ydy = 0

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Q: Thế Sugar Sweet Comipa C (In dollars), for transp C= 4500 + 250n Answer the following qu (a) What is…

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Q: Solve the following ODE by Heun's method, y'(t) = y - y sint, 2<t< 3, y(2) = 2, h=0.5.

A: For the given differential equation let dydt=ft,y=y2-ysint.

Q: y²dy = x(xdy – ydx)ey

A:

Q: olve the following initial value problem and 1. y" + y' + 9.25y = 0, y(0) = 2 %3D

A: Introduction: Differentials or derivatives are contained in a differential equation (or "DE"). The…

Q: Question 2 Evaluate: J y* sech (e m)tanh (e ), 7Iny @ -ch(v^) +C B) None -ech-(7) +C 7 ® ech (»*) +c

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Q: Solve the Followings : 1. dy (x + 4)

A: Given: dydx=(x-y)2Solution:dydx=(x+y)2⇒dydx=x2+2xy+y2Now separating x and y terms, we get-y2…

Q: 5. ey dy dy 6. 2y + 1

A: Given: 5) ∫-∞0e4ydy6) ∫0∞dy2y+1

Q: Q: Proue IMart I+ coso t isino cis4e It Coseo - i sino

A: To Prove: 1+cosθ+isinθ1+cosθ-isinθ8=cis4θ Concept: i. eiθ=cosθ+isinθii. De Moivre's…

Q: olve for the perimeter of the following :    1. An equilateral triangle with sides equal to 115…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: v = y ln (x² + z*), find vzy. w = x2/(y? + z?), find ô³w/dz ây².

A: Given v = y lnx2+z4 Then vz = ∂∂zy lnx2+z4= yx2+z44z3= 4yz3x2+z4 Then vzz = ∂∂z4yz3x2+z4=…

Q: A car with a constant speed of 21 m/s leaves the finish line 5 seconds after a car with a constant…

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Q: 1. Solve the following equation y" – ky' = 0 given that y(0) = 2, y'(0) = k %3D

A: Please refer to the image below

Q: Solve the following problem. n = 31 i= 0.037 PMT = $264 PV = ? PV =$__ (Round to two decimal…

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Q: Find the mising segment length Round to tthe nearest t e 8.7 5.8 Your answer Solve for X. 3x-11

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Q: Q1) Solve the following DEs а) ty" + (1 — 2t)y' + (t - 1)у %3D 0 y1 = et

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Q: 3. (x2 + у2 + 1) dy +хydx%3D0

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…

Q: How do you solve questions 5 and 6, step by step please?

A: To determine the value of x and angle z.

Q: Solve the following D·E 3) +y = y3 dx

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Q: 2. Eliminate the arbitrary constant on the given equation: r Ae 60 + Ble 60

A: That is we have to eliminate constant A and B

Q: 4. Which of the following is an isocline for the given equation? dy dr (a) y- (b) y=z+1 (e) y- 2 (d)…

A: Differential equations

Q: ***** In the diagram below, LM = 19.6, LN = 24.5, and MJ = 16.4. Find the length of NK. Round your…

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Q: Which of the following is equivalent to the problem shown? 2* where z = r cis0

A: The problem can be written as: z=rcisθz=rcosθ+sinθ

Q: Q1: solve the equations below: 1) S dx Jellt vast (1+

A: Given, ∫1x(1+x)2dx

Q: 3. Solve the following equation given yo = 5: ýt + 5yt – 15 = 0. That is, y-dot +5 y –15 = 0.

A: The given differential equation is yt·+5y=15 The given differential equation is of the type…

Q: Describe in words how to solve y = mx + c. What assumptions have you made about the value of m?

A: We can solve the problem by calculating the slope 'm'

Q: (B) Find the subsequent displacement for a simply supported beam of length (L) take a positive value…

A: The given equation: Where C is a constant. This is the function of Y(t, x). To find the…

Q: Solve the ruiftlal -value problem sy'-3 y =0 1 yl0) = - | y'(0) = 24 ニ ylo)= ? %3D

A: The differential equation is given as 2y''+5y'-3y=0 The corresponding auxiliary equation is…

Q: Solve for x and give the length of each segments. (with solutions) 24 18 D/*+3 3x + 3 2x + 5 -2 + 4x…

A: We have to find the x values and determine the lengths.

Q: S (1 – cot² x) dx b)

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Q: (y4 – 2xy)dx + 3x²dy = 0; y(2) = 1

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Q: ye'xdx (4 + e?x)dy

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Q: C. Solve the following Bemoull's equation. 2. dx

A: First divide y^9 both sides.

Q: z Solve the following di fferential equations xdy y x²+y² 1. dy

A:

Q: Verify which of the following statements fits and satisfies the equations/IBP formula? SOLUTION TO…

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: Find the solution of the following: 3. y' + ky = e-(kx)

A: The objective is to determine the solution of the differential equation y'+ky=e-kx The auxiliary…

Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint:…

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Q: If a tank holds 8000 gallons of water, which drains from the bottom of the tank in 40 minutes, then…

A: Given: The capacity of tanks 8000 gallons. V=80001-t402

Q: 3) Solve the following IVP. y" 4y 3(4) (o if te3 gre)=?exr(ase) if tz3 where "exp(x)= e et

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Q: Solve the following D.E. 1. zy+y+ye* =0

A: We will find out the required general solution.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.