35. Eliminate the parameter t in the followin x = 9+4tant y = 4+4sect 36. Eliminate the parameter t in the followin x = - cos 2t y = - sin t

Q: Eliminate the parameter t from the following. x = sin t − 5, y = cos t − 4

A: Eliminate the parameter and simplify it.

Q: If 7=(x+1)√√x² + yi+tan (3x-y)j and g = y find: fxcurl g+(g.V) at (0,1,1) x + y In(xy+2)+ i+…

A:

Q: 15. Find a) fxedx b) dx using the substitution of x- cos t.

A:

Q: 2.3 Find the general solution of p fanx+q tany =lanz

A: Given:   P tanx+q tan y=tanz→           1   is of the form pP+qQ=z:

Q: Find the length L of the curve R(t) = -2 cos(5t) /+2 sin(5t) /+ tk over the interval [3, 6]. L =

A:

Q: Consider the following IVP: y" +y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…

A:

Q: Eliminate the parameter t from the following. x = cos t − 2, y = sin t + 5

A:

Q: 1. cosysin2xdx + (cos²y – cos²x)dy = 0; by treating x as the dependent variable

A:

Q: ди 1. find аnd az if z = 5 tan(x)and x = e" + In(v) at the point (In2, пр dv dy 2.Find if, y2 + x² =…

A: 1. Given,               z=5tan-1(x)       and  x=eu+ln(v)

Q: If xty= 2e Cos Øand x-y=2ies.m Ø show that Su

A:

Q: If the RHS (Right Hand Side-the source) function of a second-order differen tial equation with a…

A: Here we have to go option wise and choose the option with; y(0) = y'(0) = 0. Clearly we can see…

Q: -5TT/6 -21/3 -TT/2 -TT/3 -TT/6 TT/6 TT/3 TT/2 21/3 5TT/6 -2 y= 3cos(4x+2T) + 1 Ob. Oc. y= - 2sin3x-…

A: Check by points

Q: 8F OF OF 1. Use the formulas above to find and ду ax exy + sin (xyz) + In (yz) = 4 – z

A: Partially differentiate the function with respect to x.…

Q: Q4/ Find only five of the following: 1-[t cos at 2-f(6 sin 2t – 5 cos 2t 6. 3+2S 3-[( 3 t5 – 2 t3+ 4…

A:

Q: Find the residues of sin(2²) at z = 0 and z = π. (sin z)2

A: To find the residue of sinz2sinz2 at z=0 and z=π Let  fz=sinz2sinz2=sinz2csc2z…

Q: 2. Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x + n IN

A:

Q: Suppose that w = a7 · exp(2y) · cos(4z) with z- in (+ 5), x = sin (t+ y = In (t +2), z = t.

A:

Q: Q1: Use the Improved Euler method to find y' = cos2x + sin3x ,0<x < 1,y(0) = 1, with h = 0.25. %3D…

A:

Q: 4. a. Show that for 0 Va² + sin² a. b. Generalize the result in part (a).

A:

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); u =

A:

Q: Suppose that a y" + axy' + by = 0 has the general solution of the following form: y = x'(C1 cos (3…

A:

Q: 5. Find the general solution to the DE using the method of Undetermined Coetficients: y" + 9y = 2…

A:

Q: 7 Use the Intermediate Value Theorem and Rolle's Theorem to show that the equation 2 = sin z+1 has a…

A: use the intermediate value theorem and Roll's theorem to show that the eqautionx2=sinx+1has a…

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); U =

A:

Q: Q2 Q2/If y = (x³ + 5x² + 1)3 + Jsin+/cos³Vtan3x2 find y'

A:

Q: When the general solution of y" + 4y = tan2x is written as y = U(x)cos2x + V(x)sin2x then which of…

A: The given differential equation is y''+4y=tan2x. The auxiliary equation of the corresponding…

Q: Eliminate the parameter t from the following. x = sin t − 3, y = cos t − 2

A: Eliminate t by squarring

Q: x = Cịcos (At) + C2 sin (At)

A:

Q: 7. Evaluate t' sin(2t“) dt .

A:

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = i

A:

Q: y" + 3y' + 2y = e* (t2 + 1) sin(2x) + 3e- cos x + 4e"

A: Answer

Q: Determine an equation for the sinusoidal function shown. 2. 12 21 Oy = 0.5 cos[0.5(x+ x)] + 1.5 Oy,…

A: The general equation of a sin function is given by; y=A cos(Bx+C)+D Where; A→Amplitude of the…

Q: Photo attached

A: The parametric equations is given by,

Q: 9. Evaluate y' of y = e-2*sin3x a. 3e-cos3x- 2y b. 3e-cos3x- 3y c. 3ecos3x - y d. 3e-cos3x +y e. Not…

A: Explanation of the answer is as follows

Q: 10. Solve for t on the interval [0, 2π) (a) 2 cos² t-cost-1=0 (b) 2 sin²t-3 sint + 1 = 0 taol al (c)…

A: Given

Q: Differentiate D = x2 + sin25x with respect to t and simplify. x2 + sin? 5x dt dt x2 + sin2 5x)1/2 dt…

A:

Q: az Use an appropriate form of the chain rule to find dt 1 z = 2 cos x sin xy; y = 5t t Enter the…

A: z=2 cos x-sin xy ; x=1t; y=5t   see z is a function of x and y ,where x and y are functions of t so…

Q: 36. Sin(xy) + cos(yz) = 1. Compute z and az at P = (2, п/12,4). дх ду

A: Let us consider the given function z=f(x,y) The partial derivative of the function is obtained as…

Q: y" + 3y' + 2y = cos4x %3D

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4. Write u = -2 cos Tt – 3 sin at in the form u = Rcos(wot – 8).

A:

Q: Q-4) Find the general solution of the Cauchy-Euler equation x'y"+ xy'+4y = sin(In x)

A: Solve the Cauchy Euler differential equation

Q: 4 Find the mul hiplicity of the foll owing faunchons 3 2. a-9xt 30 L -4yx at x= 3 and x=2 3. 2. ) f-…

A: We will first check whether the given values are roots of function, then we will find the…

Q: 3 Q19- if z =- 4x³y sin sin (x³y) əz find əx

A: We want to find partial derivative of the given function.

Q: Find y (t) if y – y = 2cos(5t) and y(0) = 0 %3D * (e' – cos 5t + 5 sin 5t) 13 O 1 + (et + cos 5t –…

A:

Q: 4) Find when y2 – x² + cos(x + y) = 0

A:

Q: 1. Eliminate the parameter tgiven x = t – 3 sint and y = 2 + 3 cos t.

A:

Q: Where does the periodic function f(x) = 2ešin (x/2) take on its ex- treme values and what are these…

A:

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = (i-)

A:

Q: .2 Suppose that w = x² + y² – z2 And x = psin(4)cos(0), y = psin(4)sin(0), z = pcos(4) Use…

A: The Solution is given in next steps

Q: Q1\ Differentiate the following 1)2xsin-13x x+1 2)y = In Vx-2 1 3)y = sin-1 2x

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.