11-х || | dydzdx 0 0 x+z

Q: 2. Find the FS of the following periodic function f(x) = A when 0 <x <n f(x) = -A when n <x < 2n If…

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Q: x+y= 4 3. For the system of equations x+: =-2 , what is xyz? y+z= 12 A) -98 B) 126 C) 225 D) -135

A: It is required to determine value of xyz

Q: Exampi Derive the formula : Sinh"x = In(x+ Vx' +1)

A: To derive the formula of inverse hyperbolic sine assume the function, x=sinhy.......(1) From the…

Q: if an object moves to the left so the .displacement would be negative False O True O does not matter…

A: Given: If an object moves to the left so the displacement would be negative.

Q: 5. State the angular frequency of the sinusoid x = a? cos(b?nt + ab)

A: Calculated angular frequency .

Q: Given: y= 0.4x²? Find a @ A - v= 8m/s ; a= 4m/s? A y = 0.4x² 1.6 2 m

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Q: find the complex Fourier series of fon the given interval. f(x) = x, 0 <x<27

A: The complex Fourier series is, f(x)=π+∑n=-∞n≠0∞ineinx

Q: 50 efined by the equation r = e particle when 0= 30°. Determine th 1- sin 0'

A: Since the particle is moving under a central force F, its angular momentum Ho is constant,…

Q: Solve the given differential equation: (a + xy? + y) d + (y³ + x²y+ x) dy = 0

A: The given equation x3+xy2+ydx+y3+x2y+xdy=0 is in the form of  Mdx+Ndy=0∂M∂y=∂N∂x…

Q: 1. F= cosy i + xyj + yk, A. i+j+(y-siny)k B. i+ (siny-y)k C. j (2y-siny)k D. 3i5j + (sin y)k E. i+yk…

A: F=cosyi + xyj+yk∇×F=ijk∂∂x∂∂y∂∂zcosyxyy=i(1-0)-j(0-0)+k(y+siny)=i+(y+siny)k=i+yk+sinyk

Q: dy 3) 2- 2y + a = 0 (Separation variables). dx

A:

Q: Find (a = x-intercept) and (b = y-intercept) .of the line 3x + 4y - 12 = 0

A: Given equation  of line is 3x + 4y - 12 =0 For x - intercept , we put y=0 3x -12 =0 3x = 12 X = 12/3…

Q: Cylindrical coordinates 1 1 a²T 1 ôT r ôr Or a ôt

A: Heat conduction: It is defined as the transfer of internal heat energy  by collision of microscopic…

Q: What is the shortest distance from the line 2x – 3y+ 5 = 0 to the point (–4,2)? 17 A) V13 5 C) V13…

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Q: if the position of object x1= 15m and x2= 8m the displacement is * negative positive

A: Negative is the correct option.

Q: a (x,y) y kx3 - X Fig. P9.1 and P9.5

A: Area moment of inertia is a geometrical property that defines how different points are arranged with…

Q: II. Derive the following equations: @Cp :-T a. b. Cy=-T = 0 T с. ay

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Q: d'y 2 dy 11 Find the order and degree of the differential equation dx? V - 4= 0. 3|2

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Q: iivé an éxample of hów the T-ds équations áre ušeful.

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Q: 1. A harmonic motion is given as x (t) = A cos cos (150t + Ø) = A¡cos150t + A2sin150t Find A, A, A…

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Q: Solve the differential equation (6х2 — 10ху + 3у?)dx + (-5x2 + 6ху — Зу? )dy %3D 0

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Q: Solve the differential equation a. sinxy' + ycosx = sin (x²)

A: A differential equation is an equation that connects the derivatives of one or more functions. In…

Q: Find the x and y components of a 25m displacement at an angle of 210°

A: We start with a  circle of radius 25m

Q: 3. [ sin'x dx 4. [(e* -e**)dx

A: Ans.3 Using the substitution method

Q: If w = f Cx +Ct) +9( x- Ct) then show that c'Wxx = W c Constant.

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Q: if an object moves to the left so the .displacement would be negative Ο Ο False O True O does not…

A: Displacement is a vector quantity and has a positive or negative sign depending on the direction of…

Q: 3. Using the inverse kinematic method, determine the angle q1 and q2 in degrees if the end effector…

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Q: angular frequency of the sinusoid

A: Angular  frequency= 6.7 rad/sec

Q: 2) (2x + sin x)dx + x cos y dy = 0 (Exact). dy

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Q: 8. Given z = 6x*y-e", calculate or z, ôx xy A) 12y-e" C) 12r-xye 2 xy B) 12y-x²e" D) 12y-y²e"

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Q: Obtain phasor transformation of the following expressions in polar form. v() -170cos(3771-140) i(1)…

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Q: 3. if the position function vector r = ti +6tj find the direction of the vector at time 1 sec جد…

A: The given data are: r=t3i^+6tj^t=1 s Here, r denotes the position and t denotes the time.

Q: 4) (x² + 2y²); = xy dy y(-1) = 1 ху

A:

Q: 30 50- 20 A (B 40 R= 20 E - 20- 40- +-20-

A: Solution: Let, Area A1 be ∆ABC,Area A2 be □ACDEArea A3 be semi-circle

Q: Vx-9 Q.1/ A) What is the domain of the function f(x) = x2+7x+12

A:

Q: where m n L', sin " sin dx = Mnx Nnx Prove that: where m = n

A: For m≠n,f(x)=∫-L+LsinmπxLsinnπxLdxWe know that,sin…

Q: O O O O If f(x.y, z) = xy + yz + xz. The maximum rate of change off at the point P(1,2,3) is: %3D 50…

A: Given that :  F( x ,y, z) = xy + yz + zx and the given point is  p = (1 , 2 ,3)

Q: Kis is through point O. R, ose - R. - . + R. sine = 0 - F, = 0 Fx +. = 0 Fx - Ry = 0 Rx + Ry = 0 O…

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Q: 17. Evaluate | (2r – þx + 1 )dx . А) 5 в) -3 C) -5 D) 3

A: Answer: The correct answer is option (C) i.e. -5.

Q: If u=x and v=x(x-1) (y+1) then the st ream line is y=e^((x^2/2-x) +c) -1 0 صواب ihi O

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Q: ᴀɴ ᴏᴘᴇɴ ᴄʏʟɪɴᴅʀɪᴄᴀʟ ᴠᴇꜱꜱᴇʟ 1.2 ᴍ ɪɴ ᴅɪᴀᴍᴇᴛᴇʀ ᴀɴᴅ 2.1 ᴍ ɪɴ ʜᴇɪɢʜᴛ ɪꜱ ꜰɪʟʟᴇᴅ ᴜᴘ ᴡɪᴛʜ ᴡᴀᴛᴇʀ ᴛᴏ 2/3 ᴏꜰ…

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Q: If AE = 0 then, it means that Q = 0 and W = 0. %3D True or false?

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Q: What is the name of the element which is indicated by the red line? E(9) Y(9) X(s) Input Output B(s)…

A: Solution:

Q: (T/2 Evaluate S" Sare S x2 sin 0 dxd0dø 0. 0.

A: Given Function is : ∫0π∫0π2∫0rx2sinθdxdθdϕ Now  Integrate with respect to dx ∫0rx2sinθdx=sinθr33…

Q: y 500 50 80 -140- 140- 80 - 60 500 400 50 500

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Q: · SF(3 sin 4x + 4 cos 3x)dx -1.3333

A: Given

Q: 3. If A = i- 6j + 12k, B = 3i + j- k, and C = 3i + j+ 22k Wite down A. (BXC)+A.C

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Q: GIVEN : Let E = 3Qy + 4 0z and F= 40x - 10 ay + 5dz (a) Find the component of E along E Determine a…

A: Given data: E=3ay+4az; F=4ax-10ay+5az Need to find: a) Find the component of E→ along F→. b)…

Q: The general solution of the differential equation y" +y' = tan(0) sec(0)

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Q: According to the Figure 2, the Q vector component can be calculated as: * Figure 2: R a Br

A:

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.