Q3: Find2 for the following functions: - (answer two only) 1) y = (cos x)Vã 2) y = sin x* + elnx 3) y = 7cosv2r+3

Q: Find Duf at P. 3 f (x, y) = sin(3x – 5y); P(5,3); - - NOTE: Enter the exact answer. Duf =

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Q: dz Find in the function ryz + a’yz = cos (xyz) CoS az

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Q: Solve for f(x) the ir f f(x) cos px 8 sin² t

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Q: V. Show that: 1. [(cosx-sin x)'dx = x+ cos 2x +C 2.

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Q: H 2= x? tan y/ at (lo1) %3D Ex by

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Q: 4. Find fyryzyaz, if f(r, y) = x² cos[100(e" + /1+ y²)®]

A: Given; f(x,y) = x2cos[100(ey+√(1+y2))y]

Q: If f cos xdx = A +B sin x + Csin²x+ Dsin³x+ Esin*x+ Fsin5x, what is , 2 ) and ( - 2,5). the value of…

A: Given: ∫cos5xdx=A+Bsinx+Csin2x+Dsin3x+Esin4x+Fsin5x.

Q: b) Solve to find if y = Tant VE and t = 4x-2 – secx dz b) if z = sin20, and 0 = [cos(w) + 1]² + cos…

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Q: y = (sin x +cos x) sec x = sec² x

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Q: 1 is 1 H.W Find y' for y = ecosx * tan-1(5x) * (5x² + 1) ?

A: for y , y'=?

Q: 9. y = C,eax cos(bx) + C2eax sin(bx); a and b are parameters

A: As per our guideline we are supposed to answer only first asked  question. Kindly repost other…

Q: 1 For cos2(xy) = , evaluate y' when x = 1.

A: The given equation is cos2xy=14. Calculate the first differentiation y' of the given equation at…

Q: dr 1- y = Inlog 2- y = (cos x)*Snx 3- у e (sinx

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

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Q: Match each function with its ay=2Cos x y 2Sin x y= Sin 2x y Cos 2x Slide correct function onto its…

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Q: / – 9x* sin²(7y") = 9x* cos²(7y/") What is y(4) if y(0) = 8? %3D %3D

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Q: Suppose A is the annihilator of y= e*sin(x) – 3cosh(x), if f(x) = A(sin(x)), determine the value of…

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Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: Which of these will represent u in the function * y= sin -1 Vx2 + 3x + 4? Sin-1 а. du V1-u?

A: Using definition of composite function.

Q: Q2- Show that, 2 sin x |Jo(x cos 0) cos 0 d0

A: We have to prove sinxx=∫0π2J0(xcosθ)cosθdθ                     (1) Since we know…

Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

Q: 4. Find when dx tanx a. y e, giving your answer as a function of y. b. y- In(xvx-1), x> 1 sinx-cosx…

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Q: b) Is S cos4xv2 – sin4x dx = V(2 – sin4x)³ + C true or false? show me %3D

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Q: What is the particular solution of the function 2xe3 sin 7x – 8x?? O Aa? + Bx + C + Exe3, cos 7x +…

A: NOTE: Refresh your page if you can't see any equations. . . the second function is  which is a…

Q: Find the solution of the equation 200 az a²z + cos y Əx² Əy² which tends to zero as x→∞ and has the…

A: Given differential equation∂2z∂x2+∂2z∂y2=e-xcosy. The objective is to find the solution of the…

Q: 1. [* sin' y cos' ydy 3

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Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y (π/8) = 0…

A: Given,y(x) = C1 sin2x + C2 cos2x + 1 — (1)Here we find the value of C1 and C2 such that the equation…

Q: Find the first approximation to the root of the equation xe" – cosx =0 using Regular-Falsi method…

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Q: What is the first step in eliminating the parameter t from the equationsx= 3 1 sin t and y = cos t -…

A: Given equations are x=3+sint,y=cost-2. To eliminate t from given equations, substitute values for t.

Q: Q2// Given that oc= = sec-(-V13/2), find sin x, cos x, tan ox, csc o and cot x.

A: Given: write as Formula used

Q: x = Cịcos (At) + C2 sin (At)

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Q: At which of these x-values is the value of y=cos x greater than the value of y=sin x? Select all…

A: From above we can see that when x=π6, (cos x,sin x)=32,12 here cos x> sin x From above we can see…

Q: by implicit di f foretiation of sin-(xy) - cos-(x- y) Find -V1- (xy)? xV1-(x- y) ² + V1- (xy)? -V1-…

A: Using Implicit Differentiation

Q: Find the general solution of the differantial equation given by www |y" – 4y' + 5y = 3xe* – cos2x +…

A: Given y''-4y'+5y=3xex-cos2x+x+1sin2x

Q: satisfied

A: We will solve the problem.

Q: 2 Given that: J2(x)=-, cos.x + sinx find J(x)

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Q: Suppose x and y are functions of a third variable t. If sin-(x) + cos°(y) = = and dr dy what is the…

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Q: 2. f(x) = sin x [0,21]

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Q: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Find Duf at P. 3 4 f (x, y) = sin(x – 5y); Р(5, 1); u = i и %3 - - NOTE: Enter the exact answer. Duf

A: This is a directional derivative problem

Q: Q2) a) Find an® sec²y dy b) Is cos4xv2-stn4x dx = (2- sin4x) +Ctrue or false? show me

A: Use fundamental theorem of calculus for part (a)  For part (b) use substitution method

Q: 3) Show that y" +y = 0, given that y = 2 sin x + 3 cosx

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Q: Obtain the approximate answer for 2 cos(x )dx using the trapezoidal method so 3) that the maximum…

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Q: Find r (3) /" (종), /" (주) , f' (), ), fm given f (x) = sin a cos 3x

A: Given: fx=sinxcos3xf'x=cos4x-2sinxsin3x To find: f''π3=?f'''π3=? Formulas used:…

Q: 3.) Solve the equation using discontinuous function: y" + 9y = cos(2t) – U37(t)cos(2t) , y(0) = 0,…

A: We will find out the required solution.

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

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Q: Find the solution of the equation Cos y which tends to zero as x → 0o and has the value cos y when x…

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Q: Q2: (a) Evaluate ſ cosx sinx V1 – sin4x dx.

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Q: Use Gaussian Quadrature (n = 3) to approximate f(x)dx, where: f(x) = (2.54 - sin0.32x)2 cos0.32x ,…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.