Consider the function f(x) = 8x8 + 4x° – 4x3 – 2. 4x° – 2. - Enter the general antiderivative of f(x)

Q: Find constants c1 and c2 such that F(x) = c1x sin x + c2 cos x is an antiderivative of f (x) = x cos…

A: To find constant c1 and c2 such that Fx=c1 xsinx+c2cosx is an antiderivative of fx=x cosx. Solution:…

Q: is The antiderivative of the function f(x) =. 2x а. 2 In x + c b. 1

A: Givenf(x)=12xAntiderivative of f(x)=?Antiderivative is nothing but integral.

Q: Let  f(x, y) = sin(15x2 + 3y2) Calculate the quadratic approximation of f at the point (0,0)

A: Given that,  fx, y=sin15x2+3y2 The quadratic approximation of the function fx, y at the point x0, y0…

Q: Consider the function f(x) = 2x10 + 7x° – 6x² – 9. Enter the antiderivative of f(x) -

A: To find The anti derivative of f(x).

Q: Find the most general antiderivative of f(x) = -3x – 7xL7. Note: Any arbitrary constants used must…

A: Topic = Integration

Q: 2. Show that the function u = p(xy) + Vry (y/x) provides the equation y². 0. dy?

A:

Q: Find the general antiderivative of f(x) = 23x + 14x-2 and check the answer by differentiating.…

A: Given:- f(x) = 23x+14x-2 To find:- Anti derivative of f(x)

Q: Find fæ, fy, and fz. 4,5 f(x, y, 2) = 4z In (a*y° cos(5z))

A: We can answer all the three question as below.

Q: Find dY at x = -1ifY zu%5V=4 3. and u= X²+ X

A: Given that y=u3+5u-4 and u=x2+x We need to find dydx at x=-1 Take y=u3+5u-4 Substitute "u"…

Q: If F(x)=sinx+6x2−4 is an antiderivative of f(x) then f(x)=

A: If F(x) is antiderivative of f(x) , then f(x) is derivative of F(x) .

Q: Prove that = va² – x* if y =(f)sin~+ () + (9)v&* - x²

A: Differentiation wrt x

Q: For the function ex, the linear approximation around x = 2 is %3D

A: Introduction :

Q: af dy of f(x, y) = tan (x²y³ + 2xy)? What is the

A: Given:     To determine:

Q: If f(x) = A B C -S sec²x D tanx l+et sec 3x √1+1² 1+e' 1+e lanx -dt, then f'(x) equals tanx 1+e In…

A: The Leibniz integral rule gives a formula for differentiation of a definite integral whose limits…

Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x +…

A:

Q: Let f(x) = 28x6. Find the most general antiderivative. F(x) :

A:

Q: Integrate f(æ, y) = e2=² + 2y² over the domain {(x, y) | æ² + y? < 3}

A:

Q: Find the derivatie: F (+2 %3D (-t*+*z+)た =人

A:

Q: 7. Find the linear approximation near (2, 0) of f(x, y) = 3x e¯3ªy.

A: To find the linear approximation for the given function.

Q: f(x, y) = In (x²y - x) %3D

A: Here, the given function is: f(x,y)=ln(x2y-x) First to find the first derivatives:…

Q: Consider the function f(x) = 3z10 + 3z° – 3z² – 4. Enter the general antiderivative of f(z)

A: Given function is : f(x)=3x10+3x5-3x2-4 We have to find antiderivative(integral) of the given…

Q: Find the solution (varition of parameter)   X2y11-2xy1+2y=x3sin x

A: According to the given information, it is required to find the solution of the given differential…

Q: 2. Show that the function u = (xy) + JTY v(y/x) provides the equation y² : 0. dy?

A:

Q: Find the antiderivative of f(x). f(x) = 3e6x+ sec2(x) +x3

A:

Q: of of and ду Find f(x,y) = Vx + 3y?

A:

Q: Consider the function f(x) = 2x³ + 71° – 8z2 – 8. Enter the antiderivative of f(x) + C

A: To find the antiderivative means integration of the given function

Q: Find the general antiderivative of f(x) 3 – 4x* + - 5VT x3 Preview 2.

A:

Q: Find an antiderivative of the function f(x)=1/x4.

A:

Q: Consider the finction f(x,y) = x² + xy – 5x – y+ 1. Then:

A:

Q: If f(x,v) = ex In(5xy) find dy?

A: Given: fx,y=ex2ln5xy. To find: ∂2f∂y2 Solution: In partial derivative we differentiate with respect…

Q: In integrating the function fx* in Sx dx using integration by parts, what would you choose for your…

A:

Q: Find the most general antiderivative of the function. 2xA + 7x³ - x F(x) + x >0 %3D F(x) %3D

A: Given that     f(x) = (2x4+7x3-x)/x3 We have to find the antiderivative of the function.

Q: Finf y' if x=Arccos(1-t), y=/2t-t2.

A: We can find the answer using chain rule as below.

Q: Let f(x)=6x2+1f(x)=6x2+1.Enter an antiderivative of f(x) . . .

A: The given function is,

Q: Let f (x, y) = 2x³ + 4y³ + 19xy Find D = frx · fyy - fey at the point (2,2)

A:

Q: Find an antiderivative F(x) of f(x) = 7x – Vx.

A:

Q: 2. Find the most general antiderivative of f(x) = 3+22 %3D

A:

Q: Consider the function f(x) = 2æ³ – 6x² + 8x – 9. An antiderivative of f(x) is F(x)= Aæ4 – Bæ³ + Cx²…

A: The given function is : f(x)=2x3-6x2+8x-9         The antiderivative of fx is the value of integral…

Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

A:

Q: Find the linear approximation of f(x) = Vx-1 approximate 2.02. near a = 2. Use the result to

A:

Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Consider the function f(x) = 6x' + 8x5 – 10x³ – 6. %3D - Enter the general antiderivative of f(x)

A:

Q: Find the most general antiderivative of f(x) = -10x – (1 – x²)-1/2, where -1< x < 1.

A:

Q: Find the general antiderivative, F(x), of the function f(x) = 2x -6x² +x+ 2.

A: we will answer the first question since exact one was not specified. Please resubmit the question…

Q: Find f fy. - f(x.y.z) = x - Vy² + 22? + 2z² = (Type an exact answer using

A: Here we have to find fx , fy and fz  of

Q: What is dufferential equation of x'=4x-y and y'=-4x+4y when t=0, x(0)=1 and y(0)=1

A:

Q: Find the antiderivative of the function: f(x) = ex + 3x - x2

A:

Q: Let f(x) 6e". - Enter the general antiderivative of f(x)

A:

Q: Consider the function f(x) = 4x° + 7x® – 9z³ – 10. %3D Enter the general antiderivative of f(æ)

A:

Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

A: