Find all second-order partial derivatives for the function r = In |5x+y|. XX xy 11 = 25 (5x + y)²

Q: 12/7 2-x +5x dx

A:

Q: H.W: Solve the following equations.... x Ben Bruden denken. . Berd... 4 X dyr X² 3.4).d.x.=.a.. T

A: 3) xy'+(1+x)y=e-x. 4)xdy+(x2-3y)dx=0.

Q: Find the equation of the tangent line to the function f(x) = 2x² - x at the point where X x = -1.…

A: Given query is to find the equation of the tangent line.

Q: Let z(x, y) = x³y where x = Calculate da dt = t³ & y = 1⁹. = dz dx dy by first finding & and using…

A:

Q: Find the linear approximation of the function f (x, y) x² + y² at the point (2,-1, 1)

A: Given function:- fx,y=5x2+y2

Q: 2 1 + e* 11, 12, 13, 14, 15, 16, 17, and 18 Find the differential of the function. 11. y = e5x 10.…

A: 10 1 - x/2 now differentiate the function with respect to x df/dx = 0 -1/2  = -1/2   second question…

Q: aw aw at əs w = xy³z² - 3xy; x = 5s, y = 2tp, z = 3tq², 3q Use the chain rule to find and = 2s, 2p=…

A:

Q: Let F and G be vector-valued functions such that Ē(t) = (cos(ät), e²t−1, t² − 1), Ġ(1) = (1, 1,−1),…

A:

Q: Solve, y" + 2y + 5y = 4e¹cos2t when y(0) = 0 and y'(0) = 0 O y te^-tcos2t Oy= te^tsin2t Oy=…

A:

Q: A ball is thrown upward in the air, and its height above the ground after t seconds is H(t) 58 t…

A:

Q: Exercise 1 (1+4) ³-1 h The given limit lim h→0 Definition of the derivative represents the…

A: Given; Limh-0[(1+h)2/3-1]/h.

Q: In the previous Problem Set question, we started looking at the position function s(t)st, the…

A: Consider the position function s(t)=e5tsin(7t)   Formula  v(t)=ddt(s(t)) Product rule of derivatives…

Q: Which of the following will the limit lim x² - 6x +9 lim x -3x² - 4x +3 2 x²-8x+16 x-3x²-6x+8 lim…

A:

Q: af af 6. Find and where f(x,y)=√√/24 - x² - 2y². Interpret the value of fx (2, 2) in əx ду two ways…

A:

Q: The following integral is an improper integral. (a) Explain why it is improper, (b) determine…

A: The following integral is an improper integral. (a) Explain why it is improper, (b) determine…

Q: Assume that f (x) is differentiable functions for all x. Find the derivative of h(x) = x³. f(x).

A: Given that fx is differentiable function and hx=x3·fx We have to find the derivative of hx.

Q: Suppose ƒ (x, y) = , P = (1, −1) and v = 2i – 2j. A. Find the gradient of f. Vƒ = Note: Your answers…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = = (smaller…

A: Topic - Cartesian coordinates to polar coordinates we are given x=-5 ,y=0we know…

Q: Question 2 Solve the given differential equation (where the function is subject to the given…

A: y'' + 4y' + 29y = 0                 y(0) = 1 and y'(0) = 2let D = differential operator D2y + 4Dy +…

Q: If lf Ŕ(t) = et cos tỉ – et sin tj Find the velocity and acceleration vectors.

A: To find the velocity and acceleration vectors for the given position function.

Q: Exercise 3 Determine the derivative to a function applying a combination of sum, difference and…

A:

Q: Evaluate the triple integral. III TV where G is the rectangular box defined by the inequalities T…

A:

Q: Find the values of x, y and z that correspond to the critical point of the function: 2 = f(x, y) =…

A:

Q: Let F and G be vector-valued functions such that - F(t) = (cos(nt), e²t-1, t² — 1), Ġ(1) = (1,1,−1),…

A:

Q: Given the function below 3 25 g(x) = X x+1 Which of the following leads to the solution of the…

A: Topic = Function

Q: Assume that I and M are real numbers such that lim_f(x) = L and lim_g(x) = M. Let c be x→a x→a a…

A:

Q: Let y=ln(x^2 +x+2).  a)  Find the critical number(s) of the function f(x). b) Find the absolute…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the inverse transform of the given function of s. F (s) = 6s - 49 s2-8s +41 A) f (B) f C) f =…

A:

Q: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

Q: d²y (2) Check that y = sint satisfies the differential equation dt2

A: We have to solve

Q: The general solution to the DE in the initial value problem (IVP) 4 (y" + 6y' +9y = 0 y (0) = 1…

A:

Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

A:

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 3y-2y 3x+7+3y 3x+7 = 2x+jr²³.

A:

Q: 2 * = 8

A: Given query is to find the value of x.

Q: In formally proving that lim (x² + x) = x 4 Determine m. m = 20, let & > 0 be arbitrary. Choose d =…

A:

Q: The function f(x) = 2 + 6x + 54x has one local minimum and one local maximum. This function has a…

A: The given function is: fx=2+6x+54x-1   First, we have to find the critical point by solving f'x=0.…

Q: Give an example by sketching the graph of a function f that satisfies all the given conditions.…

A:

Q: Consider the following. y = x² y = 6-x 4 (a) Find the area of the region by integrating with respect…

A: Note: Since you have asked multiple questions we will solve the first question for you. To get the…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Graph of the region is given and it is rotated about x-axis, We have to find its volume.

Q: Given the graph of f(x), which value is the f(6)-f(5) least: f(5), f'(5), or ? 6-5 -2 f(5) f'(5) 50-…

A:

Q: Evaluate the following definite integral leaving the result in its EXACT form by showing the…

A: Given integral:- ∫0π3sinxlncosxdx

Q: Determine R(t) if R' (t) = (2e²t-4,) and R(2) = (3, −5,0).

A:

Q: Let z(x, y) = xey where a = Calculate da dt = = = t³ & y = 2 + 2t. dz dt = dy dt Now use the chain…

A:

Q: The function f(x) = 2x³ − 33x² + 168x + 7 has one local minimum and one local maximum. Use a graph…

A: Topic - local maximum and minimum value of a function. note: as per battleby guidelines, We are…

Q: 2. Define G(n) positive. -¹e dr. Show the reduction formula G(n + 1) = nG(n) if n is

A: Concept: Integration by parts: ∫f(x)g(x)=f(x)∫g(x)dx-∫ddxf(x)∫g(x)dxdx L hospital rule: A general…

Q: Let y be defined implicitly by the equation dy Use implicit differentiation to evaluate at the point…

A:

Q: Find the Differential Equation whose general solution is y = C₁e4t + C₂e-3t Oy" - y' +12y = 0 y"+y'…

A:

Q: Find the transform of the given function by use of a table. f(t) = 4 + -4t cos 39 t AF)-¹2-1521)²…

A:

Q: Find the domain of the following vector-valued functions. Š(t) = (tant, √4-t², =) 2+t

A: domain of tan t is 'all real numbers';   The domain of tan t is all real numbers except for…

Q: lim (1 + sin 3x) x→0+ CSC 2x

A: We need to evaluate: