Given f(x, y) = 3x³-xy+4y², find fxx(x, y) = fry(x, y) =

Q: The fuel tanks for airplanes are in the wings, cross section below. The tank must hold 5400 lb of…

A: So, the estimated length of the tank using Simpson's Rule is approximately 18.29 ft, rounded to the…

Q: Find all the second order partial derivatives of the given function. 6) f(x, y) = x² + y = ex+y -

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Q: Evaluate the surface integral Th F⚫ds for the given vector field F and the oriented surface S. In…

A: Since S  is a cone, it's convenient to use cylindrical coordinates. Let θ  be the angle measured…

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Q: #7, (a) Show lim (x+1)y does not exist. (x+1)²=42 that (x,y) + (-1,0) x+y²+1 (b) Given p(x, y, z) =…

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Q: Use the product rule to find the derivative. y = (3x2 + 4)(3x-4) II dx

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Q: Please help me understand why it is a hyperbola and not the other two

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Q: Sketch the graph of the inverse function. 10-B 10- (3,5) (0.4) 1.3) 4- B 8- 10- Q Choose the correct…

A: As we know The graph of an inverse function is just a reflection of the graph with respect to the…

Q: Evaluate, in spherical coordinates, the triple integral of f(p, 0, 0) = cos o, over the region 0 <0≤…

A: Step 1:To evaluate the triple integral of f(ρ,ϕ,θ)=cos(ϕ) over the given region in spherical…

Q: Consider the equation below. r = 4 - 5 16 cos(0) (a) Find the eccentricity. e = (b) Identify the…

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Q: Find all points of intersection of the given curves. (Assume 0 ≤ 0 ≤ 2л and r≥ 0. Order your answers…

A: Step 1:Given that, the curves are r=6sin(2θ),r=3 and 0≤θ≤2π,r≥0 To find all the points of…

Q: Consider the unit vector as shown. Point A is located at the origin. Point E is (1,0,0), Point Fis…

A: Step 1:     Step 2: Step 3: Step 4:

Q: A box with a square base and open top must have a volume of 131072 cm^3. We wish to find the…

A: First, we know that the volume of the box is given by V=x²h, where x is the length of one side of…

Q: Given the function below f(x)=-9823 +441 Find the equation of the tangent line to the graph of the…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Question 2. Solve all clean handwriting

A: Question 2.1 Consider the sequence: 1/2; 4; 1/4; 7; 1/8; 10; ...2.1.1 If the pattern continues in…

Q: The monthly demand for a certain brand of table wine is given by the demand equation p = 360…

A: The objective of this question is to find the rate of change of the price per case when x = 1000 and…

Q: 5. A spring whose natural length of 15 cm is stretched to 19.8 cm in length. What is the work done…

A: Given values:xo = 15 cm = 0.15 mx = 19.8 cm = 0.198 mk = 5 N/m Introduction:We know, work done =…

Q: Evaluate the double integral. SSD 9x cos y dA, D is bounded by y = 0, y = x², x = 1

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Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

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Q: Approximate and using the above idea. 1.1 0.97 (c) What does the Taylor Polynomial Error Bound…

A: Solution To approximate 1/1.1 and 1/0.97, we can use the idea of expressing these fraction as the…

Q: Test the series below for convergence using the Ratio Test. 5" N82 The limit of the ratio test…

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Q: 8 Ay 10- Compute the following estimate of f(x) dx using 0 8- y= f(x) the graph in the figure. 6-…

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Q: 2. (a) Convert from cylindrical coordinates to Cartesian coordinates. Give exact answers (no…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find a parametric representation for the surface. the part of the cylinder x² + z² = 36 that lies…

A: Step 1:  We need parametric for the surface, the part of the cylinder x2+z2=36that lies above the…

Q: Make a graph of the third picture on the sun

A: Step 1:Its graph is  Step 2: Step 3: Step 4:

Q: Estimate the limit numerically or state that the limit doesn't exist: lim x 4 x²-2x-8 x²-3x-4 =…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Step 1:The given function is, f(t)=2t3+2t  with domain [−2,2].  Step 2:Differentiating this, we have…

Q: Let C denote the following disconnected surface: C = {(x, y, z) = R³ | x² + y² = 1Ux² + y² = 4,…

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Q: 1. Find the work done when a non-constant force of F(x) = object from 2 m to 6 m. = 200 x2 N is used…

A: To find the work done when a non-constant force of  N is used to move an object from 2 m to 6 m.

Q: 2) Change the order of integration for the triple integral (x² + In(y) + z)dx dy dz so that you are…

A: The objective of this question is to change the order of integration for the given triple integral…

Q: Let k be a positive integer and y be a column vector of functions with length 2k. We have the system…

A: The objective of the question is to find the solution to a system of differential equations. The…

Q: The total daily cost (in dollars) of producing x park benches is given by C(x)=3125+15x+0.2x² B.…

A: The objective of this question is to find the minimum average cost of producing park benches. The…

Q: Evaluate the limit lim t 0 ((t + 2)² + 10tj + e 10th) Enter your answer in i, j, k form.

A: Step 1:​L=t→0lim​((t+2)2i+10tj​+e10tk)​Step 2:​Using the law of…

Q: Consider the functional S[y] = ay(1)² + √² dx By, y(0) = 0, == with a natural boundary condition at…

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Q: Bioengineers construct peptides with new functions by starting with a particular peptide, and then…

A: The objective of this question is to calculate the number of peptides that need to be screened in…

Q: Suppose that the function f(x) is defined as f(x) = 2 sin²x-9 sin x cos x + cos² (2x) — 7 sin(2x)…

A: The given function

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Order your…

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Q: An automobile company is ready to introduce a new line of cars through a national sales campaign.…

A: Step 1:Step 2:Step 3Graph of corresponding s(t) using desmos Step 4: After rounding, 7.52 months.

Q: Use the quotient rule to find the derivative of the following. 2 8x +9 y= 2 x +5 dy dx =

A: Solution is following in explanation step.

Q: Use Stokes' theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. IC…

A: ANSWER : ​​

Q: An ice cream cone can be modeled by the region bounded by thehemisphere z = √8 − x2 − y2 and the…

A: (a) Sketching the ice cream cone in 3 dimensions:The hemisphere z=8−x2−y2​ represents the upper half…

Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, -3), (4, -3),…

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Q: Use the quotient rule to find the derivative of the given function. 2 x²-3x+8 y= x+9 y' = ☐

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) 2 cos(t) +…

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Q: Find the following limit. lim t 5 answer =

A: Please comment down for any doubt. I hope my answer helps you.

Q: #3: Suppose that f(x) is the sum of the Fourier series 4+6n = f(x) + Σ sin(nx) n=1 1+n² +5 sin.x +…

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Q: calculus 2 series

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Q: Find the derivative of the following function. y= (3x²+7) (4x+1) 5x-9

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Q: + ऐ 2) Change the order of integration for the triple integral f² (x² + In(y) + z)dx dy dz so that…

A: The objective of this question is to change the order of integration for the given triple integral.…

Q: A company estimates that it will sell N(x) units of a product after spending $x thousand on…

A: N(x)=−0.25x4+23x3−540x2+80000where   24≤x≤45N′(x)=−x3+69x2−1080xN′′(x)=−3x2+138x−1080Its roots are…