Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx
A: Evaluation of the indefinite integral by substitution method
Q: 2.x? Evaluate dx using substitution technique. 2x' +5
A: Since Mulitple questions are asked, Hence doing only first question.
Q: Find the exact value of dydr. 1/4 Ja
A: As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 Given; I=∫141∫x2xxydydx
Q: Find the rate of change.
A: Now the rate of change of given function is the derivative of given function with respect to x. So…
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: Evaluate the improper (i) (2 – 2)-i dx
A: Since you have asked multiple question, we will solve the first question for you as per our guide…
Q: 1/6 aresin(3) dx =
A:
Q: solve xsinydx+(x2+1)cosydy=0
A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…
Q: +e Differentiate y = eX - e -x
A:
Q: y" + 2y' = 2 – 5 cos(x), y(0) = 0, y' (0) = 1. %3D
A:
Q: Find the solution of ordinary differentral equation X+2xy'-2y=L4xlox -5cos(Inx)
A:
Q: 3xy3 + Cln(x?) = 0 Зху
A:
Q: If u = ln( °+y³ x+y ). then find the value of ди ?
A:
Q: exact
A:
Q: By using the substitution u = VT + 2, evaluate 6+ 3 dx. ¤(/I+2)²'
A:
Q: If y = tanh"(k/x) and x (1 - 144x) y'=A Then A= .
A: First we find the derivative of the given function y. After that we substitute k=12 in the result…
Q: lAcOs3x+B sin sx) この
A: Given solution with condition is yx=exAcos3x+Bsin3xy(0)=0y'(0)=1
Q: Use appropriate substitution to solve the following (iv) zy" + (y/) 0. %3D
A:
Q: #5 ở V - (2xy sinz) - (3y~); + (5x> y? z?)k .* and vx ů. ealeulate
A:
Q: z = sin(7y² – 7xy)
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: dy
A: Given below the detailed solution
Q: Calculate x²+y² =4 and Sin (yetp) dA,D between. ty2 = 16 abore y=0 2 %3D
A:
Q: Transforming Ⓒ A S B Ⓒ S dz ⒸS²+ de D dz 1+2² dx dz 2-222 dz using miscellaneous substitution will…
A: We need to choose correct option. As per Bartleby's Guidelines we can solve one question from…
Q: If x =1/k ln y, then y = ekx.Determine whether the statement is true or false. If the statement is…
A: Given:x=1k lnyTo prove: y=ekx is true or false
Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = cos2 (3x - y2)
A: Consider the provided provided function, fx,y=cos23x-y2 Find the partial derivatives of the function…
Q: 10 · S (sech u + tanh u)² du
A:
Q: SV25-x² In dx , if we let u=/25 - x2 , then udu= - xdx. (A) True B False
A:
Q: Rewrite (6x + 9) cos (x + 3x) dx using substitution of variables. o /3 cos udu o / 2 cos udu o / cos…
A: The given integral is: I=∫6x+9cosx2+3x dx
Q: 125. y = / V2 + cos³t dt
A:
Q: J with 2 equations Give an exa
A: Let ax+by=0 and cx+dy=0. These lines pass through the origin. Then ax+by=0cx+dy=0 is a homogenous…
Q: Test the equation for exactness and if separable: (2xy + 2x) dx = y dy
A:
Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =
A:
Q: 3x*y+2x +y² +5 = cos(2x)+5x
A:
Q: -Solve b exact (Di sferential Egmation) Q 1- (3X+y Cosx) dx+(stux-uy)dy=o
A:
Q: 2 cosh V5t + t5 1 -2t sin 2t
A: Definition of Laplace transform :Let f(t) be a function Laplace transform of the function is…
Q: examire Ha Fonchion FX24)=x° -12Xy+g+8 For relahive extrema and sadlle Point
A: For extremum of function of two variables, we find fx , fy , fxx , fyy and fxy . Then put fx= 0 and…
Q: z) tan(y2 + %3D
A: Given that, wx,y,z=tany2+4zx3x=r2t2y=r2tz=rt2 Then we get,…
Q: Express (1 + i√3)^6 in the form x + iy.
A: Given query is to rewrite the expression in the form of x+iy .
Q: Express = In(4t), y = 7 – t in the form y = f(x) by eliminating the parameter. y =
A: Given equation is as below: x=ln(4t)y=7-t
Q: integrate the following using the substitution 1.) ∫ ?^5(9z^6-7)^8 dz 2.)∫(5 − 3?^7x)^1/3 e^-7x…
A:
Q: Find y' and y'". y=cos(xsin3x)
A:
Q: integrate the following: Ue the U-substitution. ∫3/(√4x2-12x+9) dx
A:
Q: 3e7" sin(2y) 3e7 sin(2y) dy
A:
Q: az Use implicit derivation to find dx respectively, of the expression ax 3x?y³z2 – 2xy2 + 4xz –…
A:
Q: AMD y= 上IHD y" OF *=_
A: Given; x=1/(t-1)2 and y=1/(t+2).
Q: Cos Vt dt 3. Evaluate
A: The integration of the given integral is; Cos√t/√t.
Q: Evaluate dx using appropriate substitution. Verify your answer by differentiating. an 1+ 2¤²
A: Given, ∫x2x21+2x2dx
Q: e. 1 +i+?+
A: The collection of complex numbers represented on a plane. it is also known as arg and diagram. let…
Given,
Formula used:
Step by step
Solved in 3 steps
