Suppose that f(z, y) = x² – zy + y? – 5æ + 5y with z + y? < 25. 1. Absolute minimum of f(x, y) is 2. Absolute maximum is

Q: Findithe equation fthe plane entrining the point (7-2-5) and uperpendcular to the line through the…

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Q: 8. If x* - 48x +1=0then, a. Provethat x - 5/2x+1=0 1 b. Find the valueof x- c. Showthat x 23030/23

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

Q: 8. Find the inverse function of: f(x) =- 64

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Q: A bird drops a stick to the ground from a height of 65 ft. The function h=−16t2+65 gives the​…

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Q: dzy and -in each of the following. Find dx2 x = x= e' cost b. y = e' sint а. y = t-1

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Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: To write an example to how to find out the derivative and anti derivative.

Q: 5) Evaluate the integrals using appropriate substitutions a) sec 2x tan 2x dx b) 2x+1

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Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: Find the area bounded 1. 2x2 + 4x + y = 0 , y = 2x 2. y = x³,y = 4x²

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Q: Q1/ Solve the given differential equations or initial-value problems 'using Separable" (Answer only…

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Q: Use the tabular method to evaluate the integral |* + 2x – 1) cos(42)dx

A: Explanation of the answer is as follows

Q: 1-Find the area of the region R under y=x² + 3x +2 Between x=-1 and x=2 2-the region bounded by…

A: Topic:- application of integration

Q: 3. Evaluate the integral x³ - 2x? – 4 dr x³ – 2x? |

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Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

A: A detailed solution is given below.

Q: Determine whether each of these functions are invertible. If it is, find its inverse. ax-5 a. f:R→ R…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 2 + In² x dx x(1 – In x)² 2

A: The given integral is: I=∫2+ln2xx1-lnx2dx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

Q: Which of the following is TRUE about logarithms and logarithmic functions? i. The argument…

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Q: PROBLEM 4: Let A and B be 4x4 matrices with det(A)=5 and det(B)=-2. Compute det(3A?BA").

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Q: sin(h) Evaluate: lim h →0 4h

A: Evaluating the limit with the help of standard limits.

Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

A: We can find the interval of convergence by using the ratio test .

Q: Sketch the graph of g(x) = 2Vx + Vx. Support your graph by a table. %3D

A: i am providing the graph and tabular values in step 2

Q: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

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Q: 2. Determine the value of c, so the given vectors are perpendicular: u=[-4c, 3], v = [-1, 2]

A: L

Q: The following integral may be solved using substitution. Choose a function u that may be used to…

A: This question is based on indefinite integral.

Q: ) Find eigennwaly gse for -5- OA= L-4 to -구

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Q: Find the area between the curves. x= - 5, x = 3, y = 2x2 + 12. y = 0 The area between the curves is…

A: Given :y=2x2+12x=-5 to x=3

Q: 3-Find the area of the surface of revolution generated by revolving the curve y=V .1sxs3 about the…

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Q: sin (x-1) lim x+1 x2+2x-3

A: To evaluate: limx→1 sin⁡(x−1)x2+2x−3 The given limit is of indeterminant form 0/0

Q: Find dy/dx by implicit differentiation. Væy = 6+ x?y dy/dx

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Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: Given

Q: Let D be the region bounded by a curve x + y3 D (Parametrise the curve so that y/x t.) 3xy in the…

A: Given that D is the region bounded by the curve ?3+y3 = 3?y. The curve is to be taken as y/? =t.…

Q: Зx2+2 dx 0 2x²+4x+3

A: Adjust the numerator to get the known integral form.I have add and subtract the same value to get…

Q: 4-In any clements is the only hilpolent elements O ac-b)= C-ajb= - Cab) O C-a) (-b) =ab %3D %3D

A: 1.  We have a(-b) + a.b =a.(-b+b).     ( Distributive law )                    = a.0…

Q: complete

A: We will solve the integration.

Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

Q: | 4r* cos y dA; R = {(r, y) : 1 s r s 2, 0 sysa/2}.

A: Given: I=∫∫R4x3cosydA and Rx,y: 1≤x≤2, 0≤y≤π2   As we know that; ∬dA=∬dxdy or ∬dydx And The Power…

Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: Find the following definite integrals. sin a dr

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: The temperature at o point (x, y) on a flat metal plate is given by 7x, y)- S6+ ), where Ts measured…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 20x, y = x ... The…

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Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P &amp; Q is…

Q: Please

A: We will solve the integration.

Q: Evaluate the integral: V3 S arctan () da *Input answer as decimal round-off to 2 decimal places.

A: Given :∫13arctan1xdx

Q: z(u, v) and u = u(x, y, w), v = v(x, y, w), x = r(t), y = y(t), and w = w(t). The Let z = dz as…

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Q: %3D Find the derivative of y = Vsinx COS I 2sin z 1. -sin z H S00 5.

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Q: find eigenualy gse for -57 to -구 -4 26

A: I have appended the formula used in the solution part.