Given z = x² + xy², x= uv¹+w², y=u+ve" дz ?u then find: when u = -2, v = -1, w=0

Q: Give the interval(s) on which the function is continuous. h(k)= NOTE: When using interval notation…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  as we know, the…

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A: We need to find out the value of x and y that will minimize the cost.

Q: In the figure, A(-2,7), B(3,2) and C(9,5) are the three points on the same rectangular coordinate…

A: Let's find slope of given coordinates and then solve for which slope is greater.

Q: write the cubic polynomial function f(x) in expanded form with zeros -4, -3, and 2 given that f(1)=…

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Q: Given an interest rate of 5.5% compounded daily (ie: compounded on each calendar day), determine the…

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Q: What is the differential equation of the given 1 parameter family of solutions? y = In[x + C] O y' =…

A: we need to find out the differential equation for the given equation.

Q: 2. Prove the following: d dt r. (r [r. (r' × r")] = r. (r' xr").

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

Q: By Lagrange find √18 where √√16=4,√√25 = 5, 4.5 O 38 O 9 18 O 9 40

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Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A: The region R is bounded by the ellipse:(x-4)216+(y-2)21=1

Q: Find a value of the constant k, if possible, at which is continuous everywhere. k= (enter "none" if…

A: Find the value of k, if possible, at which  f(x)= 16-x2, x≤-4 kx2 , x>-4  is continuous…

Q: Find the absolute maximum and minimum of f(x, y) = 2x + 2y within the domain x² + y² ≤ 9. Please…

A: Let's find absolute maximum and minimum by using Lagrange multipliers.

Q: Moodle home Select one: X Find the derivative of g(x) = f(x) g'(x) = g'(x) = O g'(x) = g'(x) = g'(x)…

A: We will find the required derivative.

Q: (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < , with starting point s(x)= =…

A: Given that y=lnsinx  ,0&lt;x&lt;π   starting point is π2,0To find :Arc lengthSolution :Arc length…

Q: You need to construct an open-top rectangular box with a square base that must hold a volume of…

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Q: A weather balloon is rising vertically at a rate of 15 feet per second. An observer is standing on…

A: Given  A weather balloon is rising vertically at a rate of 15 feet per second. An observer is…

Q: The fox population in a certain region has an annual growth rate of 7 percent per year. It is…

A: Given query is to find the growth modal and population in 2008.

Q: Calculating First-Order Partial Derivatives In Exercises 1-22, find af/ax and a flav. 15. f(x, y) In…

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Q: Find the vertex, focus, and directrix of the parabola. 7x + 3y2 = 0 vertex (x, y) =

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Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K)= 70L0.9 K0.1 where L…

A: Given :- PL,k=70L0.9K0.1 L=units of laborK=units of capital

Q: Consider the following. x = 5t + 8,      y = 8t + 5 (a) Sketch the curve by using the parametric…

A: NOTE: Refresh your page if you can't see any equations. . to graph the line, we need only two…

Q: Find the radius of convergence of the Maclaurin series for the function below. f(x) = 1 (1+6x¹)³

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Q: Use the Limit Comparison Test to determine if the series converges.

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Q: (a) Find the velocity function of the particle at any time t > 0. v(t) = (b) Identify the time…

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Q: Find the Jacobian J of the transformation T(u, v, w) = (4u +4v+w, 4u − 2v+2w, 4u — 4v +2w) = (x, y,…

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Q: Concept check: evaluate the integrals using the appropriate method: 1. | xe3xdx

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Q: The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is…

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Q: Evaluate dz using the given information. z = 5x² + 3xy + 4y²; x = 5, y = -1, dx = 0.03, dy = -0.06…

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Q: If f(w) ) = cos¯¹(7w¹), find ƒ'(w). Use exact values and don't forget the chain rule. f'(w) =…

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Q: Problem 4: Find the centroid of the area shown below.

A: The given shape of lamina is as follows:

Q: How did you get the (2n+1)(2n-1)? I just don't know where the (2n+1) came from. thanks in advance

A: use the general principle of mathematical induction.

Q: Let z(x, y) = xe² where x = dx dy dz dt by first finding & and using the chain rule. dt dt Calculate…

A: Given query is to find indicated derivative.

Q: Consider the function f(x) = (x + 1)e. Determine each of the following. 1. Find the derivative…

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

Q: Rewrite the given iterated integral using cylindrical coordinates. Do not evaluate the integral. 3…

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Q: Consider the following function. f(x)= 15x+1 (a) Find the critical numbers of f. (Enter your answers…

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

Q: Multiply using partial products. Fill in the missing numbers. X 81 96 7,200 480 6

A: To multiply 81×96 by using partial products. To fill in the mising numbers.

Q: Find the derivative of the function y = y' = || 9x² - 8 x² - 7

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Q: Consider the function y = 1 e4x Find y'.

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Q: the that you don't need to use. f(x) = 3xe8x cal number of the N N N llowing reasing order. nter any…

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Q: Calculating First-Order Partial Derivatives In Exercises 1-22. find af/ax and af/ay. 14. f(x, y) = e…

A: (14).The given function is:f(x,y)=e-x sin(x+y)

Q: How do you solve problem 15?

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Q: Given that f(x) = x²h(x) h(-1) = 2 h'( − 1) = 5 Calculate f'( − 1). Hint: Use the product rule and…

A: f(x)=x7h(x)

Q: Sand poured upon the ground at a constant rate of 12 cubic feet/min forms a conical pile whose…

A: The given data is: Sand poured upon the ground at a constant rate of 12 cubic feet/min dVdt=12 cubic…

Q: XI -41 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) 3…

A: Given query is to find the point of relatives maximum.

Q: Let z(x, y) Calculate дz მs дz 2t = дz მs & 7х2 + y² where x = s + 8t & y = дz St by first finding…

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Q: how do you shade 1/5 of a grid

A: The given data is: How do you shade 15 of a grid?

Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. 1. 4 f(x) dx…

A: Given both the circles are the semicircles a) ∫14f(x)dx =area between x = 1 to x = 4

Q: a. Use the Product Rule to find the derivative of the given function. b. Find the derivative by…

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Q: Concept check: Evaluate the following integrals: ¹.ſ- dx (6-x²)z NIVE

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Q: Find the general solution of the differential equation: dy 2ty + 4e-t². d.t What is the integrating…

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Q: 27 the absolute extrema if they exist, as well as all values of x where they occur, for the function…

A: Topic:- application of derivatives