The graph of a function f is given. Use the graph to find the value f1 (3). Q 6-

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

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Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

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Q: 1. Using the vectors u = [4, -3] 3 = [7, 1] and w = [-5, 3], evaluate the following, if possible. If…

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Q: Let f R R be continuous and let F be an antiderivative of/. If F) dr = 0 for some k > 1, then xf (x)…

A: This is a problem of integration. Based on the general formula and concept we will answer.

Q: PROBLEM 7: Find all eigenvalues and eigenvectors of A. [2 -4 4 A 3 -3 7.

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Q: rounded to the nearest hundredth as needed.)

A: We have to find the producers surplus according to the given information

Q: 6. Evaluate each expression. a) 16-'x 25 b) (-27)5 c) 160.75

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Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: We have to calculate radius and height

Q: 1- y = %3D 2yt+1 y(1) = -2 2- y'3 =? -2xy %3D 1+r2 y(2) = -5

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: The rectangular coordinates of the point Pare (V3,-1, 2). In the cylindrical coordinates of P the…

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Q: 9. State domain, range, y-intersection, and the equation of the horizontal asymptote. y=1.5(2*)+ 2…

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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: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: Find and classify the critical points of the function: f(z, y) = 1' + y* – 144zy + 4 Local maximums:…

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

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Q: 16 3. The value of is: D) A)

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Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

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Q: 5- X dy + y dx =X cosx dx dy 6- -zy メ

A: First order differential equation: Consider the first order differential equation…

Q: た8e Ge whe'eh ー2x es ytural exponentioel frenebon / show all staps]

A: LetI=∫ 6e3x-8e-2xdxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 6e3xdx-∫ 8e-2xdxTake constant…

Q: Jが 10x° - 24メクt9 dx

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Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 2. 2, 4, 8, ...…

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Q: Write an equation for the line that passes through the point (7, - 4) and is perpendicular to 3x -…

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Q: Inx 1 13. lim,

A: We will find the limit.

Q: n the appropriate interval of convergence, we know that then we can deduce, by applying the ormula…

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Q: 5. Find the first six terms of the sequence in which the eighth term is 72 and twelfth term is 96.

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Q: Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

A: We need to find minimum value.

Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

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: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: Q2/Test whether the differential equations are exact and solve those that are. (Answer only two) -y2…

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Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: Evaluate the integral: 2T So * cos? (0)d0 *Input answer as decimal round-off to 2 decimal places

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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: the solid obtained by revolving the region bound ed by Find the volume OF about the X - axis the 2…

A: The region bounded by the x-axis, y=x2,x=0,x=2 is:

Q: -2 Evaluate dx ех

A: The objective of the question is evaluate the definite integral.

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

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

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Q: Evaluate the integral: *Input answer as decimal round-off to 2 decimal places.

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Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: (zx" xy') dx:-3xy dy

A: Given that a differential equations and we solve this problem by using general property of…

Q: ** Solve the following problem by setting up a linear system (remember to describe your variables)…

A: T=touchdown    6 pointsF=Field goals   3 pointsE= Extra points  1…

Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: Evaluate the given integral 1. S(sec² x + csc²x)cos²x dx

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Q: I. PROBLEM SOLVING Directions: Read and analyze the problem then solve it. 1. COVID-19 is one of the…

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A: We have to find the resultant vector.

Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: x dy + ५ ax X cost d x dy 6- -2 ५

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Q: lim,[-6(x - sin' x)( cscx)] CSC X

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