j2 -j3 la+» (1 2. Determine

Q: @ sinhz= loy (z+[2+1) %3D

A:

Q: 2. the inde fincte Integial X+8)(Vã-8) da

A: Just first the simplification of given integral and then integrate ∫xndx=xn+1n+1+C, where C is the…

Q: 3. tet-lu(t – 1) 4. t cosh 2t 5. (t – 2)²et-!u(t – 2) 6. te-'u(-t)

A: To find the Laplace transform of the given functions.

Q: Determine la solución general de la ecuación diferencial Y'-2x/2-x^2(y)=e^x. Y(2)=4

A:

Q: What is frz, fyy, and fyz of f(x, y) = In(y²")?

A: Given:           f(x,y)=lnyx2          fx=∂∂xlnyx2         Treating y as constant variable…

Q: 4xy* :- find f,,f, at point (4,1) for f(x,y) = x’e**Y

A: I have used partial differentiation

Q: 3. (D - 3D? + 4)y = 40cos2x + 6

A:

Q: x = X, +(-

A: let the initial velocity be v0 , and the initial distance be x0 .and in time t , the new velocity…

Q: How do you compute the gradient of the functions ƒ(x, y) and ƒ(x, y, z)?

A: Given, The function f(x,y). It's gradient is given by, For example,

Q: / (6x" – 7Va+ 19x- 8 -- + Evaluate + 14e0* + V11 dx. (You don't have to show the work.)

A:

Q: Explain the working procedure of Equation Reducible to Homogeneous form.

A:

Q: 3. Express (j-3)° in rectangular form.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: tion of all components of v(3) correct to two decimal places.

A:

Q: Tangent to the curve z2 = 2xy + x2 , z = 3 , at the point ( 1, 4, 3) %3|

A: For a surface of the form: f(x, y, z)=0, the equation of the tangent at x0, y0, z0 is defined as…

Q: Solve using linearization using one digit approximation only 1) f(x) = V5

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. Зx +…

A:

Q: How Reducible Second-Order Equation is form?

A: Given:  How Reducible second order equation is form.

Q: What’s the difference between differential and inferential Calculus? And How do they apply to…

A: DIFFERENCE BETWEEN INFERENTIAL AND DIFFERENTIAL CALCULUS:…

Q: Solve ux – uy +yu = 0, where u is a function of x and y. %3D

A: Given: ux-uy+yu=0. The objective is to solve u, where u is a function of x and y.

Q: Find total differential of function u = x.

A: 6. The given function is u=xyz. We know that the total differential of a function u=fx,y,z is given…

Q: 8z + 129z -) dr = (Use Term by term integration)

A:

Q: integra 6. XVx - 8 dx Je

A:

Q: Differentiate: F(y) (y + 9y°) yA - y?

A:

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: Find the linearization of z = f(x,y) at P(-3, 2) when f(-3, 2) = 2 and f-(-3, 2) = 1, fy(-3, 2) =…

A:

Q: Solve the equation in the attached image:

A: Given:

Q: How is integration by substitution related to the Chain Rule?

A: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us…

Q: 9. Differentiate y = /sec³ (5t2)

A:

Q: Find the linearization of ƒ(x) = √(1 + x) + sin x - 0.5 at x = 0.

A: substitute 0 for x in f(x)=1+x+sin x-0.5 to obtain the value of f(x) at x=0 f(x)=1+x+sin…

Q: Determine the directional derivative of X²Yz +4XZ² at the point P(1,-2,1) in direction a=2û - j +² R…

A:

Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δt = 0.006t2(0.006 t…

A: Given, δt=0.006t2 Now, we have, at=e∫0tδsds=e∫0t0.006s2ds=e0.003s30t=et3500

Q: uestion 4 Assume that all variables are the function of t. If 5x2 - 4y3+3y=7 and dy/dt =6 when x-13…

A:

Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (-4, -4) and the direction in…

A:

Q: Find the differential of the function.

A: Differentials are infinitely small quantities. We usually write differentials dx, dy, dt (and so…

Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (5, 2) and the direction in…

A: As per bartleby guidelines, for more than one questions only 1st one is to be answered. Please…

Q: se Cauchy-iemman equations to now that each of these functions is where cnalytic Rz= メ

A: Given: fz=xy+iy   -1 The objective is to show that the given function is nowhere analytic.

Q: 10. у%3D V2x+1

A:

Q: 1. y = Vt2 + 3t – 1 %3D

A:

Q: Tangent to the curve z2 2xy + x² , z = 3 , at the point ( 1, 4 , 3 )

A: Consider the curve, z2=2xy+x2 ⇒x2+2xy-z2=0

Q: integral that line x = 0

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

Q: Find the gradient of tangent to 3 x2 - x y – y = 23 at the point (3, 1). Enter the exact value of…

A: We have to solve given problem:

Q: Tangent to the curve z2 = 2xy + x² , z = 3 , at the point ( 1, 4 , 3

A:

Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

A:

Q: Find the partial derivative. Find fx(3, -7) when f(x,y) = 7x2-9xy. O -21 O -126 O 21 O 105

A: differrntiate partially with respect to x

Q: Calculate fz(2, 3, 1), where f(x, y, z) = xyz.

A: Given,          fx,y,z=xyz

Q: Use fundamental theorem of calculus .4 –dx x In x 2,

A: Follow the steps.

Q: dt 4e -et

A: To evaluate the integral: ∫dt4e-t-et Solution: Given integral can be written as:…

Q: Vt3 e-st dt 4s2

A: Explanation of the answer is as follows