Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = y³ - 5x²y x = es, y = et aw as aw at || = Evaluate each partial derivative at the given values of s and t. aw əs aw = S = -1, t = 2 ||

Q: 1 Evaluate lim』→-25 22-4 0-0 ㅇㅇ 이를

A: The expression of the limit is limx→-2+1x2-4 To evaluate: The value of the limit.

Q: Select all the statements that are true. Assume that c is in the domain of f(x). ✔ limx→c (3x)² =…

A:

Q: Use implicit differentiation to find y² + 4x³ = 8y - 5x² dy dz z(5+6x) y-4 da X

A: Topic = Derivative

Q: [(5x²³ -2.r²+3)dx

A:

Q: ✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) 5x² −…

A: need to find out the critical point.

Q: alculate the derivative of x³y+yºz+xzº = 9 using implicit differentiation. Or

A: Given query is to find indicated derivative.

Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = 1 f(x, y) = 4x 2y 1x + 2y 1

A: Given: Now, fx(x, y)=∂ ∂ x4x-2y1· x+2yTreat y as a constant             =∂ ∂ x4x-2y1· x+2y-∂ ∂ x1·…

Q: Find the absolute maximum and minimum of ƒ(x, y) = 4x + y within the domain x² + y² ≤ 1. Please show…

A:

Q: Suppose y = √ 2x + 1, where x and y are functions of t. dx (a) If = 12, find dt dy dt dy (b) If = 3,…

A:

Q: The graph of a function is given. Draw the graph of its derivative. 13) + -15 -10 + -5 15- 10+ 5+…

A:

Q: Use a scalar projection (NOT A FORMULA- unless you derive that formula as part of your solution) to…

A: Here we have to find the shortest distance from the point (1,−2,5) to the plane given by…

Q: oduced, while R(q) and C(q) are in total dollars ction. (Be sure to use the proper variable in your…

A:

Q: A rational fraction of the form Select one: True False f(x) is called a proper fraction if degree of…

A: Solution is given below.

Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x)=6x^2−24x+2  the…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the standard…

Q: The equation of motion of a particle is s = t³ 12t, where s is measured in meters and t is in…

A: Use rate of change concept

Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Given: the derivative of the function, f'x=4fx+5x

Q: Evaluate the series or state that it diverges. Σ (3) 8 k=2 8 3k Select the correct choice below and,…

A: The given series is (3/8)3k, k from 2 to infinity. Repost the next question.

Q: Find y" by implicit differentiation. 2x² + y² = 9 y" = x

A:

Q: Find the directional derivative of f(x, y, z) = 2³ ay at the point (-5, 1, 1) in the direction of…

A:

Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

A:

Q: Find the following using the table below. 1 2 3 4 12 x f(x) 3 4 f'(x) 2 3 1 g(x) 2 1 3 g'(x) 2 3 1…

A:

Q: Evaluate the definite integral. JO In 2 tanh x dx

A:

Q: Find x. Round your answer to the nearest tenth of a degree. 11 4 x = []。

A:

Q: Express the following as a single logarithm. In(13+x³) + ln x - ln (cosx) = |

A:

Q: For y = x7/¹, find the point(s) where the tangent line is horizontal and determine where y' > 0 and…

A:

Q: 13. 3n+1 + 3 3″ 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

A:

Q: Use logarithmic differentiation to find the derivative of th y = (In(x)) cos(2x) y'(x) = ||

A:

Q: Suppose the second derivative of f(x) is given by f" (x) = 35x¹ (x+6)5 (x² + 9). Determine the…

A:

Q: Calculate, to four decimal places, the first ten terms of the sequence. n *₁ = 1 + (-)"

A: We need to find out the first ten terms of the sequence.

Q: True or false? The function is decreasing. f(x) = ex O O False True

A: We have given function  fx=e-x Derivative of the function is given as f'x=ddx(fx)=ddxe-x…

Q: A light source is located over the center of a circular table of diameter d = 12 feet (see figure).…

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) = 3 sin (x) cos (x) over the…

A:

Q: Let y (9x+3)(x² - 8)6 Use logarithmic differentiation to determine the derivative. y' = =

A: Need to find out the logarithmic differentiation.

Q: Find the solution to the boundary value problem: d²y dt² dy 2- + 5y = 0, y(0) = 1, y(π, dt

A:

Q: The area of the region bounded by the two curves y = x² and y = 81 is. Square Units

A: Topic = Area

Q: 6x Find the derivative of h(x) = 2 h'(x) = 36log, (x) 6

A: Topic:- application of derivatives

Q: An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational…

A:

Q: 5x Calculate all four second-order partial derivatives of f(x, y) = sin | ¹(5). fxx (x, y) = fry (x,…

A: We can evaluate the four partial derivatives by using the partial derivative rules

Q: limx→4 x²-4x √I-2 ||

A:

Q: 7) Solve the equation 2x²-3x-2 x+2 = 0 for x.

A: Given data÷ Solve the equation÷   2x2-3x-2x+2=0

Q: Let y = x5 ln x y' = = y" =

A: Topic - first and second derivative of a function We are given,  y=x5ln(x)we know…

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,2) on the surface…

A: Let fx,y,z=2x2+3y2+z2-9 Gradient vector ∇fx,y,z=fxx,y,z,fyx,y,z,fzx,y,z

Q: 7x – 4x − X

A: Topic = Integration

Q: A 6 foot tall person walks away from a 14 foot tall lamppost at a constant rate of 2 feet per…

A:

Q: 2. Find the general solution to the following DE, showing working dy dz = 3√ry.

A:

Q: 8 ln(sin(x)) 8x tan(x) +C

A:

Q: K Suppose that T is to be found from the formula T=x (eY+ ey), where x and y are found to be 5 and…

A: Concept: Formulas used (f·g)'=f'g+fg'eln(a)=addxex=ex

Q: 4.7.5

A: