QUESTION 3 31 in the diagram betow line seunent AB tersects ne egnt OC and the size of x and y. (a) DCE (3) (b) 150 120 (c) Zx-20 80

Q: Question 16 Find the area of the region bounded by the curve y2-4x and the lines x = 1 and x = 4.…

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Q: 1 2 #5) A) Find the length of a curve y Inx for 3 < x < 7. 4

A: L= integration of sqrt of 1+ (dy/dx)2 dx from a to b

Q: Question 16 In obtaining the solution of Y 2dy – (x'+y')dr=0 when y ()=0 what is the value of C? A B…

A: Differential equation

Q: QUESTION NO 2: Differentiate the following (a)Y=6x?-sec-1 5x (b)Y=2cos(x)+6cos-1 OS

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Q: Question # 2 (a): Find and of the following ax (a) z = e*Ysin5y² (b) z = Vx+y

A: ∂z∂x means partial derivative of z with respect to x considering y as a constant ∂z∂y means partial…

Q: Problem 3. Find the shortest distance between the point P (0, 1,0) and the line l given by x = 1-t,…

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Q: Example 15.6.5. Show that the tangent to the curve x° + y different from the origin where it meets…

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Q: Problem 7.2. Using translation and scaling invariance only and Prob- lem 8.1 (linear substitution)…

A: Hello, learner we can answer first three questions as per the honor policy, Please resubmit…

Q: Question 14 dx Transforming S using miscellaneous substitution will yield to secx + 1 Ⓒ √ 1 + 2 ²2/0…

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Q: Problem #13: The equation y+y-xy x' defines a curve in the xy-plane called an elliptic curve. (a)…

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Q: Question 3 Solve y"+7y'-8y=0;x=0,y=0,y'=1 y at t=1 O 0.302 O 0.393 O 0.332 O 0.0338

A: To find out the value of y at t=1.

Q: Question 3 1 pts Evaluate 2x y+-3(zy) given a = 10 and y = -5

A: Answer is 155.

Q: Question 7 10 fx)dx into To use Gauss quadrature formula we have to convert 2.5/2.5+7.5x) dx 7.5…

A: Given: The integral  ∫510f(x) dx

Q: (5z - 2) dz, where y is given in Figure 16.5. 22 - z Example 16.3. Find 01 1

A: Cauchy’s residue theorem is a consequence of Cauchy’s integral formulaf(z0)=12πi∮f(z)z-z0dz

Q: Question 7 Find the solution. (D² - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 - 3x – e 2x A y = - „3x…

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Q: Question 10 dz will be equal to ax Given the equation f(x,y,z)= x3+y3 +z3 + 6xyz- 1, then OA x2-2yz…

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Q: chapter 3.6 (book question #35) find an equation of the normal (perpendicular) line to the curve x2…

A: Use differentiation to determine the normal to the curve at the given point

Q: Problem 1 Evaluate the line integral / 2* ds, where C is the line segment from (3,0) to (0,4) in the…

A: Given line integral ∫Cx2ds, line segment (3,0) to (0,4)

Q: Problem 4: For what valnes of a and o s the line y=-2x+b tangent to the parabola y=Ox° whern X=2?

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Q: Problem 1: Let w = f(2) = |z|². Note that f(2) = , where F(2) = }2²z. (a) Find the line integral L =…

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Q: 7. Solve the following Cauchy-Euler equation d'y - 4y = 0. dx - %3D dx

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Q: Re Question 17 Find a parameterization for the line segment from (2,-1) to (-6, 4). a) O (t) = -1–…

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Q: Question 10 2 points 2r For the equation 9y"- 12 y' + 4 y =0 one solution is y = e then using…

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Q: Problem 1 (a) Let f (z) = x² + iywhere a and y are the real and imaginary parts, respectively of z…

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Q: Question 2 Let r, y ERt with x < y. Show that y-l<x-1.

A: We have to prove that the given inequality.

Q: Question 17 Find the point on the parabola y= - x¯ whose tangent line is parallel with y= 3x-5 +4 3…

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Q: Problem 3. Sketch the slope field for the equation y' = at given points 1²+y² 20 10 -2 -1 1

A: The slope field is the collection of small line segments passing through various points that are…

Q: Problem 3 f(r, y) = (3r2 + 5y)e--y (d) Find the maxima and the minima of z-f(x,y) under the…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Question No.2 Find the general solution of xy = 1+ y?

A: The given differential equation is in the variable separable form.

Q: The direction field for = 2x + y is shown in Figure 1.12 1) Sketch the solution of the curve that…

A: Equations are given below

Q: Question 5 Given that 10x + 3x- x2 f(x) = x2 a) Simplify f(x) b) Hence, or otherwise, find g(x) = |…

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Q: QUESTION 13 For z = f(x,y) and x = s+t and y = 15S-15t If at a point (X0,Yo) we have Zx=12 and Z, =…

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Q: Problem 8. Let F(x, y, 2) = (2x2 + sin(y), a cos(y), x²) %3D |(8A) Show that F is conservative. (8B)…

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Q: Problem VII: Evaluate | ye"dx + xe" dy where C is the portion of the curve y =x' – x +1 from (0, 1)…

A: To evaluate the given integral , we use the green's theorem. According to Green's theorem: Let R be…

Q: QUESTION 6 Solve the following boundary value problems a. y"+4y= 0, y(0)=-2, y (7) = 5 6 b. y"+3y=0,…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Problem 2 f(x, y) = log(x² – y² + 1) (a) Find the definition domain Dof z=f(x,y) and draw it in…

A: OK

Q: Question 21 1 1 Set h(x) = 7x – 6 3x + 4 f(x) 1. Find f(x), g(x) such that h(æ) = 9(x)' f(x) = g(x)…

A: for x intercept put y=0 for y intercept put x=0

Q: 5. (4.9) A particle is moving with the given data. Find the position function of the particle:…

A: Acceleration function is given as a(t) = sin(t) + 3cos(t).Integrate the acceleration function to get…

Q: Problem VII: Evaluate ye"dx +xe"dywhere C is the portion of the curve y = x' - x² +1 from (0, 1) to…

A: Given - ∫Cyexydx + xexydy  where C is the portion of the curve y = x3 - x2 + 1 from 0, 1 to 1, 1 To…

Q: Problem 7. Let f(x) = xe". Compute y', y" , y'" , y(4), y any integer n > 1? Problem 8. Find the…

A: NOTE : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Problem 4: Find a harmonic conjugate v of the harmonic function u(x, y) = 3x²y+ 2x² – y³ – 2y?.…

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Q: Question 12 Suppose EF = 8x - 13, FG = is the midpoint of EH. Find EG. 5x – 2, GH= x + 5, and F E F…

A: Given:   EF = 8x-13FG = 5x-2GH = x+5F is mid point EHTo determine EG.

Q: Question 1 Express the curve by an equation in x and y given x(t) = t² and y(t) = 5 tª + 1. a) Ox =…

A: x(t) = t2     -------- Equation (1) y(t) = 5t4 + 1 Now, y(t) = 5 (t2)2 + 1 y(t) = 5 x2 + 1  Where ;…

Q: Problem 1. Evaluate x-y+z-2 ds where C is the straight-line segment x = t, y = 1-t, z = 1 between…

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Q: 2х-3 2. f(x) = 2х-8 %3D Domain: V.A.: bns ylivsonoo to alevietni sa5 Н.А.: Crit. Pts.: Incr: Decr:…

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Q: QUESTION 5 Find the 2nd solution by reduction of order. y" - 4y +4y=0; y₁ = e²x

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Q: Question 5 Find the length of the curve. +- from y = 1 to y = 2 %3D 4y2 2

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