f(x,y) = In(x²+1) + Inly ²+1) -xty. Constraint α-y=4

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A: The given series

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A: The given statement If

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A: r=10+2sin⁡θFor the interior area,0≤θ≤2πA=∫r22dθ

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A: f(x)=

Q: πT Find the length of the curver = 11sece over the interval 0≤0 Round 3 your answer to two decimal…

A: Answer is option C)19.05. Explanation:

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A:

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A:

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A: The given integral

Q: Find the length of the curve over the given interval. r = 16cos0, - 77 ≤0≤77 Π 2 505 Select one: a.…

A: ​ length of the curve =16π​Option (b) is correct.Explanation:Step…

Q: Let z(x, y) = √√x² – y² + 25. Graph the boundary of the domain of z below and indicate whether the…

A: Given :-z(x,y) = Now, z(x,y)  0So,  = 0-x2 - y2 + 25  0x2 + y2 25Now drawing the graph i.e.,

Q: Calculate the area of the parallelogram whose adjacent sides are: a = [5,3,-1] and b = [2, −4,1]

A: Therefore, the area of the parallelogram formed by the vectors (a)  and (b) is  27.08 square…

Q: Sketch the level curves of the function z(x, y) = 10- 9 8 7 6 5 4 3 -10 -9 -8 -7 -6 -4-3-2 2 4 5 6 8…

A: Level curves equation   y=-6x/5Explanation:

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Q: Water is leaking out of an inverted conical tank at a rate of 12,500 cm³/min at the same time that…

A: The volume of the cone is:Where r is the radius and h is the height of the cone.The Power Rule:

Q: Given = f(x, y) dxdy + f f f(x,y) dxdy, do the following. (a). Sketch the graph of the region of…

A: Given: To Find: (a) To sketch the graph of the region of integration.(b) To combine the sum into one…

Q: 8) In designing a flexible tubing system, the supports for the tubing must be perpendicular y=-4 to…

A:

Q: Research Question: What is the effect of different teaching methods (lecture-based vs. interactive…

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Q: Consider the sequence -5, -1,3,7,..., 4n+3. a. How many terms are there in the sequence? b. What is…

A: Given sequence-5,-1,3,7,......,4n+3

Q: (b) y"(x) + y(x) = 3x² - 4sin x, y(0) = 0, y'(0) = 1

A: The given differential equation is

Q: 3(x+2)+2 for 3 1 Use the given formula to answer the following questions. (a) For each of the values…

A: I gave a detailed explanation of each parts in the below steps.Explanation:Step 1:Step 2:Step 3:Step…

Q: Let h(x, y) Y-3 = (x-4)² Graph the boundary of the domain of h below. 7+ 3 6 5 4 -7-6-5-4-3-2-1 2 1…

A: given function

Q: Solution to question 2 (a),(b),(c) please

A: (a)f(x)=arcsin(log2​(2x+1)+x)f′(x)=1−(log2​(2x+1)+x)2​3​⋅(2x+1)ln(2)+11​ (b)…

Q: Write the vector shown above as a linear combination of 1 and j. Vector = i + Note: In the graph,…

A: From the given picture we have to write the given vector as linear combination of i and j.Initially,…

Q: Example 4: w=x²y+y+xz_x= cos(0) y=sin(0) z=0² dw Find dt

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find a vector v with initial point (-4, 0, 3) and terminal point (-3, 5, 7). Then find a unit vector…

A: Two points are (-4,0,3) and (-3,5,7)Find the vector v and unit vector.

Q: n Find the length of the curve = 3 over the interval 02π. Select one: a. 9π b. 2π C. TT d. 6π e. 3元

A: Length of the curve r = 3 is: 6π Option d. is correct.Explanation:Step 1:The arc length of a polar…

Q: Using the method of substitution, I = √ x²(1 + 3x²)²dx = √ f(u)du where u = du = f(u) = Using the…

A: The answer is u=1+3x2du=6xdxf(u)=61​u2 and I=∫x(1+3x2)dx=18u3​+c  (in terms of u)=18(1+3x2)3​+c  (in…

Q: We begin by finding the EL equation for the auxiliary functional S[y] = = - S₁ 12 dx (xy2+ Ay - λy)…

A: Please see the attached image for an explanation. Thanks.Explanation:

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: y = -4 + ln(x)

Q: cos-1x . Given I = √√2 (a). Sketch the graph of the region of integration. Label it appropriately.…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: What is the primary purpose of conducting post hoc tests following an ANOVA? a. To determine the…

A: The question is asking about the main reason for conducting post hoc tests after performing an…

Q: Given triangle ABC with AB = 3 and BC = 3√√2. The measure of angle A is 135°. How many choices are…

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Q: Sketch the D indicated and integrate f(x, y) over D using polar coordinates. f(x, y) = 2xy, x≥0,…

A: Sketch the D indicated and integrate f(x, y) over D using polar coordinates.f(x,y)=2xy,The polar…

Q: Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros…

A: First Question:Option A:  x=−7,−1,2 Second question :f(x)=(x+7)(x+1)(x−2)Explanation:Step 1:Step 2:…

Q: Find the gradient of f, evaluate the gradient at the point P, and find the rate of change of f at P…

A: b)f(x,y,z)=xy2z3P(1,-2,1)

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Q: Find g'(x) if g(x) = 4xe 9x

A:

Q: I want to determine whether the sequence {ln(n) / ln(4n)} converges or not. When finding the limit…

A: The given sequence .The objective is to determine whether the sequence converges or diverges.

Q: Solve the given differential equation by undetermined coefficients. y" - 4y = 24 y(x) 2t = -2t t-6

A: The given differential equation is

Q: By setting one variable constant, find a plane that intersects the graph of z = -49x² + y² + 1 in…

A: z=-49x2+y2+1

Q: What does the F-statistic represent in ANOVA? a. The ratio of between-group variability to…

A: The F-statistic in Analysis of Variance (ANOVA) is a key part of this statistical analysis tool.…

Q: Use the method of Lagrange multipliers to find the point on plane z = 6-x-y that is closest to the…

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: final answers arethe function has absolute maximum value 3 at x= -2the function has an absolute…

Q: Required information Consider the given data. 1 2 2.5 3 4 5 f(x) 0 5 7 6.5 2 0 Calculate (3.4) using…

A:

Q: Use the method of Lagrange multipliers to prove that the rectangular box with maximum volume that…

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A: Given function We have to verify the extreme value theorem on the interval .