Find all the second-order partial derivatives of the following function. 74 f(x,y)=x²y²-x+y° 6 8

Q: A private school has a cost function given by C(x) = 90 + 80√x dollars, where x is the number of…

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: The region R in the first quadrant of the xy-plane is bounded by the curves y = -6 sin(x), x = π, x…

A: The given region is: y=-6sin x,       x=π,    x=2π  and  y=0

Q: h (x, y) = 2xy + 3x² + 4x³y² +8 What is the value of Əh(x,y) dx when x = 3.8 and y = 1.5?

A: we need to find out the partial derivative.

Q: Suppose P(t) is the US population in millions today and t is in years. Match each statement (I)-(IV)…

A: Topic - Functions We are given P(t) is the US population in millions today and t is in years.

Q: Given the points (-2,-4) and (-4, 2), find the rate of change between the points. Answer = (Round to…

A: Given :Points : -2, -4  and  -4, 2

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: given  y=x4y=81  x=0about the x-axis formula for volume is V=∫ab2πR(y)h(y)dyπ

Q: Use the equation to find dy dx = dy dx dy dx = 1 ƏF ax ƏF ду Y 4e sin(x) = x + xy

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Q: 3. Prove that sin2x 2cotx csc² x is an identity. ✓✓✓

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Q: Graph the equation by plotting points. y=2x2   plot at least 5 points

A: INTRODUCTION   Graphing a mathematical equation can be a difficult yet rewarding process. To begin,…

Q: Assume p≠−2, and compute the volume of the solid obtained by revolving the region bounded by the…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Here is the integral .

Q: Let f(x) = -4x² + 5x – 8. - Expand and simplify: f(x+h)-f(x) h =

A: Given f( x ) = -4x2 + 5x - 8

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59

A: Given :y=81-x20≤x≤9about y-axis

Q: Use the graph of f(x) to evaluate the following: -1 4 3 2 1 -1 The average rate of change of f from…

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Q: Not all derivatives will be used. Functions: a) x³ 8x² + 2x - 5 b) sin(x) c) log(x) d) 25x+3 -…

A: We are asked to match the equation to the graph

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59 A B…

A: Given :y=81-x20≤x≤9

Q: 5. y"-2y+5y=e* cos x

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Q: Find the indicated partial derivative. V = In(r³ + s + t5); a³v ərasət || 4 a³v ərasət

A: A detailed solution is given below.

Q: Find the area of the region enclosed between y = 3 sin(x) and y = 4 cos(x) from x = 0 to x = 0.6TT.

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Q: Find the distance from the point to the plane. (0,4,-4), - 2y + 4z = 4 The distance is (Type an…

A: Given plane equation:- -2y+4z=4

Q: Let f(x)=5x+4 Let g(x)=ln(x)+3 Find the following: (a) g(f(x))= (b) f(g(x))= (c)…

A: f(x)=5x+4g(x)=lnx+3(a)for g(f(x)), put x=5x+4 in g(x)

Q: Find f’(a) F(x)= 1/ sqrt (x+2)

A: Given: fx=1x+2 ⇒fx=x+2-12 To find : f'a

Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x2y=x2. Find a…

A: To find the equation of the graph.

Q: Find  f ′(a). f(x) = 2x2 − 3x + 3 f ′(a) =

A: The function is  f(x)=2x2-3x+3

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: given  y=lnx, y=0, x=4 about the y axis formula for volume is V=∫abπ(R(x))2dx

Q: Given lim f(x) = -2 and lim g(x) = 4, evaluate: x-1 x-1 lim (-3f(x) +5g(x)) = x-1 lim (-3+5f(x)) =…

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Q: Let f(x): = x + 6 x + 5 (a) Compute the difference quotient of fly)

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Q: Then find the length of the indicated portion of the curve r(t) = 5costi + 5sint j +9t k, where

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: f(x)= 3x-2/ x+1 find the inverse

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: Consider the following. Find the following partial derivatives. az as az at дz ди Find az Əs дz at…

A: Consider the following. z=x4+x2y, x=s+2t-u, y=stu2To find the partial derivatievs ∂z∂s, ∂z∂t,…

Q: Element X has a half-life of 10 days. If we currently have a 25 ounce sample of Element X, how long…

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Q: 4. Evaluate the right limit of the following function at t = 2 -2x + 1 x ≤ -2, x + 3 |x| f(x) =…

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Q: x+6 x²-5 (c) p(x) = - The domain in interval notation is QUO [0,0] [0,0) (0,0) (0,0) 8 0/0 -8

A: Given: p(x)=x+6x2-5

Q: 2. State the Intermediate Value Theorem (IVT). Then use the IVT to prove that there is some number r…

A: The answer is in step 2.

Q: Let f(x)=x^2−1 Let g(x)=−4x+1 Find the following: (a) f(6)+g(6)= (b) f(3)⋅g(3)=   (c) f(g(4))=…

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Q: [1+2p(x-1)+(x-1)² x≤1 x>1 [qx+p -) -) Find the values of q, in terms of p, for which fis continuous…

A: Topic:- application of calculus

Q: Use the shell method to find the volume of the solid generated by revolving the plane region about…

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Q: IrT: R² R² is a linear transformation such that then the standard matrix of T is A= ¹([:])-[23] and…

A: Given that T:ℝ2→ℝ2 be a linear transformation such that  T54=1335 and T4-3=29-3. We have to find…

Q: Use a definite integral to find the area under the curve between the given x-values. from x = 1 to x…

A: By using a definite integral to find the area under the curve between the given the given…

Q: ---3 11 -1/0 -6 100. 11 T 5

A: From the latest authoring guidelines of Bartleby, we can answer only first three subparts, please…

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

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Q: 1. Let =(3,-1) and W = (1,2). a) Sketch the vectors v, w, vw, and 3v + w b) Find a unit vector in…

A: Unit vector we find by taking the resultant of vector.

Q: 3. Sketch a graph of y = 2 sin(2x - π) + 3. √√√ List below 5 points of 1 cycle.

A: Solution: The graph of y = 2sin(2x - π) + 3 would look like a wave that oscillates between y = 1 and…

Q: A cyclist is riding their bicycle on flat terrain at a speed of 21 miles per hour. The wheels on the…

A: NOTE: Refresh your page if you can't see any equations. . the given diameter of the wheel is d=24…

Q: 25. All solutions are asymptotic to the line y = 3-t as t → ∞.

A: (25) Given that , y=3-t Construct a first order liner differential equation whose solution have the…

Q: 3.17 A plane contains the vectors A and B. Determine the unit vector normal to the plane when A and…

A: (a) vector A→ = 7i+8j-2k    and     B→ = 9i-4j-5ka plane contains both vectors A     and  B   so…

Q: A sum of $900 at 8% interest compounded continuously will grow to V(t) = 900e0.08 dollars in t…

A: V(t)=900e0.08tdetdt=et