Find the approximate value for f(r, y) = sin(x7xy + ln(y)) at (0.03, 1.04). Take a = 3. %3D

Q: 3. Using Euler's method, find an approximate value ofycorresponding to x= 1.6, given =y -and dx y =1…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x3/4 %D dy =

A: given y = 8x34  we find the differential dy of the above function.

Q: (a) 2-1 dx

A:

Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

A:

Q: Which one is an integrating factor for the equation y(2x – y+ 1)dx + x(3x – 4y+ 3)dy=0? 9020900 et

A: Given that, y2x-y+1dx+x3x-4y+3dy=0                               ……(1)   The above differential…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y dy

A: use chain rule while differentiating

Q: Evaluate e Cos I dx with tolerance e = 0.05 using the Composite Trapezium Rule. %3D

A: Equation is f(x)=ecos(x).The value of the table for x and y x 0 0.25 0.5 0.75 1 1.25 1.5 y 2.72…

Q: Differentiate  G(t)= Sinh(In t) G'(t)=?

A:

Q: A. Solve the following equation using integrating factors found by inspection. 4. xy(y2 + 1)dx +…

A:

Q: 2. Use Euler's method to find the approximate value of y correct up to 4 dy decimal places for…

A:

Q: Find the total differential, given: (b) \theta = arctan (y/x)

A: Let us consider the function z=f(x,y)  The partials derivative are obtained as…

Q: Use the information to find and compare y and dy.                                   Function y…

A: We find dy using the power rule

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = x/9 – x²

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=6√x + 7 x dy

A: To find the differential dy of the given function.y=6x+7x

Q: sinh x – 1 dx cosh x

A: The given integral: ∫sinh x-1cosh xdxWe need to find the antiderivatives.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = xV9 - x² = Ap

A:

Q: dy=(0.5x- 3) Co 3)° dx

A:

Q: S e6m sin m dm Integration by Parts

A:

Q: PCx g) - Sin (zy)- Cosx'+x*y? %3D find d'f df dye' de dy

A: Given function is  f(x,y) = sin(x,y) - cosx^2 + x^2y^2

Q: Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

A:

Q: x +1 dy =? find y = In x – 1 dx

A:

Q: Find the differential dy. y = ex/4 dy = (b) Evaluate dy for the given values of x and dx. x = 0, dx…

A: a) y= e^(x/4) dy= (1/4) e^(x/4)dx

Q: 2. From the following table of values of x and y, obtain equation for dy/dx and d'y/dx? and its…

A:

Q: Find the differential of the function. y = V 4 + cos(0) dy =

A:

Q: Find e dx approximately using Simpsons rule with n 10.

A:

Q: dy + dx 1+ x Find Integrating Factor for the linear DE = cos(x) Y =

A: The differential equation is given as dydx+1+xxy=cos(x) It is a first order linear differential…

Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

A:

Q: Let y = tan(5x + 2). Find the differential dy when x = 4 and da = 0.3 0.6 Find the differential dy…

A:

Q: e dx (1) S. 1-e2x (integration by substiution)

A:

Q: Find the differential dy of the given function. y = ln sqrt 5-x^2 dy=

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6. y = 2/x +

A: Given:

Q: 3. x cos x dx

A:

Q: sin x dx COS x

A: Indefinite Integration Substitution

Q: Find the differential of the function. y = In(x2 +4) dy = Evaluate it at the given values of x and…

A: Given equation is y=ln(x2+4) Applying differential on both sides with respect to x…

Q: Find the antiderivative: x sinx'dx

A:

Q: Find the differential dy of the given functions . (Use "dx" for dx.) a) y = 2x − (sin(x))2 b)…

A:

Q: y = tan(e*) + ey %3D

A: Given function is: y=tan ex+exy We have to find y'.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x/2 = Ap dy

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 5x − 7 dy = | y = X

A:

Q: Find dx 2n S sin (P) at (?)dt y=

A:

Q: Find the differential of the function y = V1+ cos(0)

A: Find the differential of the function

Q: Let y = tan(3x +7). Find the differential dy when = 3 and da = 0.4 Find the differential dy when x =…

A:

Q: dx 5 + 4 sin a

A:

Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

A:

Q: E valuate dt + seck tan x dX

A:

Q: Let y = =tan(4x + 6). Find the differential dy when x = 5 and da Find the differential dy when x = 5…

A: A detailed solution is given below.

Q: Find the most general antiderivative of f(x) = sinh a + sin x.

A: Given that f(x)= sinhx + sinx. Find antidervative of this function f(x). We know that antidervative…

Q: dy Find for the following functions dx x² + /siny – y² = 1

A: The objective is to find the derivative of the given function.

Q: Find the differential dy and (b) evaluate dy for the given values of x and dx. y=ex/10 , x = 0, dx…

A: