Find mZX (3y-71° X Y (2x) O W (x+181° (3y + 1)º

Q: Eliminate the constant: 3x 3x y=c₁₂e³+€₁₂€ ³ Oy"-4y+3y=0 Oy"-6y¹+9y=x Oy"+ 6y' +9y=0 Oy"-6y'+9y=0

A: Given: From the above, we see that the root of the characteristic equation will be 3, 3. So, the…

Q: Complete the following chart: (11K) Base Function Function y=-3sin[3(x+45°)] -5 y=7cos(2x+30°) -4…

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Q: 10. Given: CH bisects ZDHG , mGF = (2x + 6) , and mDC = (7x – 1)'. E H C G F

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Q: Find the indicated value of the function f(x.y.z) = 3x - 5y? + 9z° - 6. f(9, – 3,1) f(9, - 3,1) = O

A: f(x,y,z)=3x-5y2+9z3-6f(9,-3,1)=3×9-5×((-3)2)+9(13)-6f(9,-3,1)=27-45+9-6f(9,-3,1)=36-51f(9,-3,1)=-15

Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: 2 Solve equation (D² +1)y-secx tan x using method of variation of parameters. %3D

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Q: Find x and y given that (x+yi)/2+i = (1-i)/2+3i

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Q: Find the maximum value of sin θ + cos θ.

A: Let  fθ=sin θ+cos θ Differentiate with respect to 'θ', we get f'θ=cos θ-sin θ For maxima or minima,…

Q: Graph the functions

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Eliminate the constant: 3x 3x y=c₁e³x. + + c₂2 ve ³x схе 3 Oy" + 6y' +9y=0 Oy"-6y'+9y=0 Oy"-4y+3y=0…

A: It is given that,y=c1e3x+c2xe3xwe need to eliminate the constants c1 and c2

Q: 2. (x+53y)e dydx %3D -1J0

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Q: 8. (c) x³e 73e-2x dx 0.

A: To evaluate the below integral. ∫0∞ x3e−2xdx

Q: dy as a function of x. Write the function in the form y = f(u) and u= g(x). Then find y = (- 2x +8)…

A: We know that ,  if y = f ( u ) and u = g ( x )  Then  dy / dx = f ' ( u ) • g ' ( x )

Q: The graph of the function fCX)=x²+dx+q has only one X-intercept Select a valve for d that satifies…

A: For quadratic equation to be only one x-intercept , discriminant should be equal to zero.

Q: (X²y² + 1)dx +2x²dy =0 use the substitute xy=u

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Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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Q: Change (x + 9)? + y? = 169 to x? + y? + Dx + Ey + F = 0. Change x? + y? – 8x – 8y + 16 = 0 to (x-h)?…

A: topic - equation of circles

Q: y′ = 1 + 2y

A: Given,

Q: dy_ sec²y 1- 1+x² 2 when x=0 O y=

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Q: (y - x)(y + x)(y? + x2)(xdy- ydx) = x°dx

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Q: Sketch c(t) = (t3 − 4t, t2)

A: This is in parametric form. So we will convert it in normal form.

Q: |(0,3) C1:x2 + y? = 9. (-3,0) C2 (3,0) Figure 1 Based on Figure 1 and given that F = y²i + (3xy +…

A: We have to find the work done by the vector force F =y2i+(3xy+4x)j Where c is a smooth circle…

Q: The change of the energy efficiency function ( P ) of a factory with respect to uj and u2

A: In this question, we have to find the maximum value for the two-variable function. Here we use the…

Q: If f(x) dx = 4x° – 7x° + C, find f(x). %3D f(x) = %3D

A: We are going  to find f(x)

Q: 2) (Зx2у + 4eУ)dx + (x3 + 4хеУ + 2у)dy

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Q: Let a, b and c be real constants. Consider the ODE ay" + by' + cy = 0. hich relationship must be…

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