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

Q: 9 Find the with a area of the parallelogram Verticles vertices; PC0,0,0), QC3₁=3₁-9), R (3₁-1₁-²5)…

A: I am attaching image so that you understand each and every step.

Q: region

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Q: 2 x² dx √4-x² 2

A: Let's solve given integration.

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

A: Given function:- r=ln5x+y

Q: For the function f(x,y,z) = 4x - 3y 5z + 1 find fx, fy, fz, and fyz. 9

A: f(x,y,z)= (4x-3y)/(5z+1)

Q: Let f(x) 5 if x < 3 2 x+5 if x ≥ 3 Show that f(x) has a jump discontinuity at x = 3 by calculating…

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Q: Write the function below in the form y = f(u) and u = g(x), then find y = cos (csc x) What are the…

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Q: Let Y represent the profit (or loss) for a certain company X years after 1975. Based on the data…

A: We have given model Y=-0.68X+21.75 To get profit in 1993 Put, X=1993-1975 =18 So, Y=-0.68×18+21.75…

Q: Is it B or A.

A: Let's solve.

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 4-2y 4x +3 y 2x + 1³.

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Q: 3 [(1 + 5a)'di

A: Solve the integral

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height…

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Q: on given by P(q) = -0.02q² +5q-31, where and produced, and P(q) is the total profit, in of…

A: Here profit function is given to us.

Q: Find all second-order partial derivatives for the function r = In |5x+y|.

A: Given function:- r=ln5x+y

Q: Exercise 14 Find f'(x) for the function f(x) = x +9 x²-7-x+1 Apply the quotient rule to find a…

A: Quotient Rule of differentiation :           ddxuv = v.dudx - u.dvdxv2

Q: f(x) is concave down on the interval (a, b) if f'(x) is decreasing on True False (a, b).

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Q: Given f(x, y) = ry - 6zy. Compute: 8²f dz² 8²f dy²

A: Topic = Derivative

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y (s). Y(s) =…

A: We have to find the Y(s).

Q: To which of the following will lim O lim(1+cosx) x-0 O lim (2cosx) x-0 2lim (cosx + cos²x) x-0 O…

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Q: 25 (6x + 5)³ But Do NOT use the Quotient Rule. a) Let f(x) = = f'(x) = Find f'(x). b) Let g(x) = 6…

A: We have to find the firstd erivative of the given functions.Recall some basic formulas: ddxxn=nxn-1…

Q: Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 4, ƒ(a) = 2, ƒ'(a) = 10, f'(aº) = 3 Then…

A: The objective is to find F'(a) and G'(a) .

Q: Find the linear approximation at x = 0 to show that the following commonly used approximations are…

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Q: (бх+34)

A: The given expression is 8x+3410. Formula used: Binomial expansion formula is :…

Q: 5 Invert the matrix A 8/1+10/2+713 = 0 511 + 912+4/3 = -9 = 1. 91+11/2+8/3 8 10 7 594 9 11 8 and…

A: Please see the below picture for detailed solution.

Q: 5) Determine the time it takes an amount of money to triple if compounded continuously

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Q: Use the chain rule to find First the pieces: ow dr Ow მყ dw dz dr dt dy dt dz dt Now all together:…

A: The objective is to solve the above question.

Q: lim-→-1 O 0 0-2 0 - 12/1 x²+3-2 x+1 O None of the above =

A: To evaluate the following limit.limx→-1 x2+3-2x+1

Q: 2x²-2 limx→-1 ²+3x+2 =

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Q: Let I be the line passing through the points Q₁=(4, 2,-5) and Q₂-(10, -2, 1) and let Z₂ be the line…

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Q: f(x) = 5x³ + 6x - + Use g '(x) = g'(−2)= 6x-2 has an inverse g(x). 1 ƒ'(g(x)) to find g '(-2).

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Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $9 the…

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Q: lim (1 + sin 3x) x→0+ CSC 2x

A: We need to evaluate:

Q: Evaluate the limit of the function f defined by f(x, y) = y = x² as (x, y) approaches (0,0). x+y 2x²…

A: To evaluate the limit of the given function

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-…

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Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. limx→9…

A: Given; Limx-9(x-9)/[sqrt(x)-3].

Q: Find the absolute extrema of f(x) = 2x07 on the interval [−4, -2]. f(x) = -4,2 (-4) f(x) = -2,2 (-2)…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x,y) 8x - 7y 1x + 6y

A: To find partial derivatives,

Q: Using the same graph of f(x), what is lim f(x)? X→ 4 AN 2 3 -1- -2+ 4 1 doesn't exist

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Q: H f(x) = 2x²+x-6 (a) Express fin standard form. f(x) = (b) Find its vertex and x- and y-intercept(s)…

A: We have to find out

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

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Q: If f(x) = In(x) +6 find f'(1).

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

A: We have to solve

Q: (1) Check that y = ½x²+x+3 satisfies the differential equation d½ = x + 1.

A: Topic- Differential equation We need to check whether y=12x2+x+3 satisfies the differential equation…

Q: First the pieces: 25 5353 7 23 SS 8z as by And putting it all together: dz dz dy dr Ot dy Ot

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Q: Given the polynomial y = 3x³ +21x² +31x + 2, • list the possible rational roots: 2 2 1,-1,-1,- 2,-2,…

A: The given polynomial y=3x3+21x2+31x+2 We have to find the all possible rational roots of the…

Q: Find dz dt · at (x, y) = (−2, −1) for z² = x² + y² if de = dt = help (numbers) 10, dt 5, and x > 0.

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Q: What initial investment at 8.5% compounded semiannually for 3 years will accumulate to $15,000?…

A: Let $P amount be invested at r% interest rate compounded semi annually then after t years it will be…

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.01q² + 6q - 46, where q…

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

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