Find f'in term of g' f(x) = [g(x)]³

Q: Find the differential of the function z=e-xcos(y) dz=___________________

A: Here we can see that z is function of x and y z=fx,y So, here the derivative of z is also known as…

Q: 8. y = cos(x + y) = ysin(x)

A: derivative

Q: Find the derivative. (e-2x)(x4)

A: Topic = Derivative

Q: Find the maximum and minimum values of f(x, y) = 6x + y on the ellipse x² + 49y² = 1 maximum value:…

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Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

A: xy3dx+ex2dy=0

Q: (3) Use the error estimate formula to determine how many partitioning intervals is needed to ensure…

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Q: Find the limit of the following. lim 848 2 (√9x² + 3x - √9x² - 2x)

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Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: of

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Q: An open-top box is to be constructed from a sheet of tin that measures 18 inches by 12 inches by…

A: Volume of a rectangular box of length l, width w and height h is given by  V=l×w×h.

Q: Find the radius of curvature of y = In(x + 1) at point (7, In(8)).

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Q: 1. Find the nth Taylor polynomial P₁ for f about x = a. Use P₁, to approximate f(b). Compare your…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find two positive numbers that satisfy the given requirements. (Enter your answers as a…

A: NOTE: Refresh your page if you can't see any equations. . the first positive number is x and the…

Q: Find the gradient of f(x,y,z)=xyz2. ∇f=_______ i+___________ j+______________ k

A: Given, f(x,y,z)=xyz2

Q: Use the given function to complete parts a) through e) below. f(x) = -x² +16x² a) Use the Leading…

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Q: Find the following higher order partial derivatives. ln(x+y)=y^2+z   (A)   ∂^2z/∂x∂y= (B)…

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Q: (a) Find the dot product vw; (b) find the angle between v and w; (c) state whether the vectors are…

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Q: Find the gradient of f(x,y)=ln(x^2+y^2).    ∇f=__________ i+__________ j

A: Given query is to find the the gradient of the function.

Q: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter P(x) = x² +…

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Q: Tuesday In of (xin Exc (clip brow if flt) = √at +1, find "(2). (2 Wednesday

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Q: Begin with the graph of y= ex. Use transformations to graph the function. Then determine its domain,…

A: giveny=ex

Q: of the foll 1. Explain what each of the following means and illustrate with Lace a sketch())…

A: As  per our guidelines we can answer only 3 subparts of the given question, so kindly repost the…

Q: and find the particular solution satisfying the initial condition x(t) = dx = x² + 1/2 dt x(0) = -9.

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Q: 9. f(0) = (0 cos 0) sin 0

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Q: Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

A: Given data: Function: f(x)=x45 a=32

Q: end of eight years Susan had $6,000.00 in an investment account. The  investment account pays…

A: Given query is to find the invested amount.

Q: The surface area of a right-circular cone of radius r and height h is S = Tr√√² +h², and its volume…

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Q: x+9 Find, lim x-1(x-1)²

A: Topic:- calculus

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

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Q: Which ordered pair is NOT in the inverse of the relation given by xy² O (0,-4) O (4,1) O (3,2) O…

A: See this solution in below.

Q: Gravel is being dumped from a conveyor belt at a rate of 20 ft/min, and its coarseness is such that…

A: The height is increasing at the rate of =45π  ftmin

Q: Plot the point -2,-2 given in polar coordinates, and find other polar coordinates (r,0) of the point…

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Q: dx dy A point is moving along the graph of the given function at the rate Find (in cm/sec) for the…

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Q: 1. Morelia Corporation has two assembly plants (in LA and Atlanta) and three distribution centers…

A: To set up an LP, defining the variables and writing the objective function and all constraints for…

Q: 3. Determine if the following functions are one-one. Explain why. •f: R R f(x) = (x - 2)² ● f:R R…

A: one- one function :Let f be a function which is one one if        x1≠x2   ⇒  f(x1) ≠ fx2 for every…

Q: Determine the x-value of all critical points for the following function. 2 X² X-7 f(x) =

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Q: and given x (t) 1. I = 2. I - 5. I 6. I parametrically by = 3. I = 9 = 9 4. I = 9 5² 3 = 3 r2πT 3…

A: Use arc of length formula

Q: Equations of Order One: Homogeneous Equations Instructions: Obtain the family of solution of the…

A: The Differential Equation is given as , x2+2xy-4y2dx-x2-8xy-4y2dy=0 Obtain the family of solution of…

Q: Differentiate the following functions and simplify. Hint: you might use the logarithmic properties…

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Q: Given `y_(n+1) = 0.4 y_n + 6, \quad y_0 = 240 `y_17`

A: Given that yn+1=0.4yn+6, y0=240 We have to find the value of y17

Q: cos 0 = 6100 9' tan Ꮎ < 0 Find sin 0.

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Q: a lim x³²-x² X→ I X-1 b) lim X- UT 5 4-1 (2x-1) (3x²+2x-7)(x²³-9x)

A: SOLUTION-

Q: (a) y 10u² and u = 5 - ² (b) y = √u and u=1-1

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Q: 2. Let f(x) be a continuous function on the interval [0, 1], and suppose 0≤ f(x) ≤ 1 for all x = [0,…

A: in this question we prove the above two results.

Q: 260 EXERCISE Evaluate each of the following limits. 1. lim x ln x. 2-0 Ans. *0. 1. 3. lim x csc 2x.…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Let C be the curve obtained by intersecting the two surfaces x³ + 2xy + yz = 13 and 3x² − yz = −5.…

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Q: 4. Let g(x)=x√/8 - ax, where a is a constant. Find the value for a so that the single maximum for…

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Q: Find the critical points of the function f(x, y) = √√√x² + y² + 4. List your answers as points in…

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Q: Lim 6 (os (cos) 0-0 Sec O

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Q: Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

A: The function is given by fx = x45, a = 32 To evaluate: The linearization Lx of the function fx.…