Express the function h(x) = (x +7)° in the formfog. If f(x) = 1°,fi 6 %3D

Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

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Q: Find y' for y = ecos x + tan-1(5x) + (5x² + 1) ?

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Q: Q3 Find f cos (x)dx ?

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Q: Express æ = 3t, y = tan-'(t4 + e') in the form y = f(x) by eliminating the parameter.

A: Given : x = 3ty = tan-1t4+et

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

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Q: 1 f. dx Vx(Vx + 2)

A: Find your answer below

Q: Use variation of parameters. a. (D^2 − 1)y = e^x + 1

A: Given equation is (D2-1)y=ex+1

Q: f arctan y dy 3 f

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Q: Solve this Di fferential equat ion by applying (Variation parameters) y+y%3DSE c x

A: The given differential equation is y''+y = sec x

Q: Find a function 0f nH al =0 y Co) = 7 y (o) =/

A: The differential equation is given as y'''-8y''-y'+8y=0 The corresponding auxiliary equation is…

Q: 16. (D' + D² + D+ 1)y = e* +e* + sinx %3D

A: We have to find the general solution of the differential equation D3+D2+D+1y=ex+e-x+sinx .

Q: Express in the form y = f (x) by eliminating the parameter.x = t, y = tan^−1(t^3 + e^t)

A: Given:             x=t, y=tan−1(t3+et)

Q: Complete the table. y = f(g(x)) u = g(x) y = f(u) 8x y - sin 3 sin u

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Q: Q3 Integrate using trigonometric substitution: dx I To +x² /9 +

A: Let (x/3) = tant Differentiate on both side  dx/3 = sec2t.dt dx = 3.sec2t.dt

Q: tan x- 2x°y = c 3

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Q: 2- Solution of the following function {(dy/dx)-(cotx) y=(csc x)y³ }

A: The differential equation is given as dydx-(cot x)y = (csc x)y31y3dydx-1y2cot x = csc x…

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

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

Q: Solve the equation using Variation of Parameters (D² + 1) y = tan x

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Q: Solve the DE by eliminating the arbitrary constant of x sin y + (x^2)y = C

A: Given that the expression xsiny+x2y=C. Differentiate with respect to x.…

Q: Q2\Find T.E of the function f (x) = sin 2x when a =1?

A: Given that  f(x)=sin(2x) at a=1  To find the T.E

Q: Given: f(x, y) = x³y – y cosh xy Solve for D132

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Q: y = In tan(x – A) +B

A: Some Important Formulas 1. ddxtanx = sec2x2. ddxsin-1x = 11-x23. sec2x = tan2x +1

Q: S sec*xtanx dx

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Q: y" + y = sin t

A: Explanation of the solution is given below...

Q: y? dx + (x2 + 3xy + 4y?) dy = 0

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Q: (b) Find, where y= cos ecx- dx -4x+7

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Q: y" + 2y' – 8y = x² + cos x

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Q: Y"-2y'+2y=e^2x(cosx-3sinx) by using  Variation of parameters

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Q: Use the method of variation of parameters to solve. y" + 4y = 8 tan t - "/2<t<"/2

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Q: ) PV Is AN ALTITVOE TO OI メーD エF 41 = Sx+S エ FINO Mメエ

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Q: The max value of y=sin x is a.1 b.0 c.1/2 d.2

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Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: = cx + In(cos x). For what value of c is f'(T/4) = 7? C =

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Q: Q10. If f(x, y) = cos( 3x + y) Find:

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Q: B) Find for the Implicit function: dx x? – sin(xy) + y? = 5xy

A: The given equation is; x2-sin(xy)+y2=5xy.

Q: (c) f(x) = ea cos(bx) for constants a and b

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Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: Match the function with its graph. 1. y 3 sin 2r 2.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14…

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Q: Find for the following function. 2- cosx y = 6+ cosx dx

A: detailed solution is given below

Q: Find the indicated derivative. dp for p da q2 + 2 49 - 3 dp dq

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Q: y = C, e3x + 2C2 sin3x

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Q: Suppose z is a function of x and y. and tan Vy? + x² = 2"e6y dz dz Solve for and

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Q: Q4 Find y'of y = In- %3D ? 1+e0

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Q: find k value dx = 1

A: We need to find the value of k of the following relation.                 So,…

Q: Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of x

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Q: 4. If f f(x)dx= 14 and f (x)dx = 10, find ſ, f(x)dx. Draw a sketch to justify your answer.

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Q: π ,t<. 3 b) Let y(t)= 1? + sint , find L(y(t)) 3

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