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Q: If f(x) = 4x, what formula will describe f(x)'s average value over the interval [-1, 3]? Don't…

A: We have,   Af(x) = 4x   Interval: [ -1 , 3 ]

Q: Find the limit. lim (x,y) →(50,50) x+y=100 x+y-100 √x + y - 10 O A. 0 OB. 10 O C. 20 O D. There is…

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Q: Find the mass of a lamina bounded by y=4 sqrt(x), x=4, "and" \ y=0 with the density function…

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Q: M=1 1 2 n+ncos n

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Q: Let f(x) 1 + 2x³* (a) Express f(x) as a power series. (b) For which x does the above series…

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Q: 48 a. Find the Jacobian of the transformation x=2u, y=4uv and sketch the region G: 2 ≤2u≤ 4,…

A: We have to find the following given condition

Q: Suppose y' cosû sinº 0. Answer the following. de 6) Separate the differential equation, then…

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Q: t 2t x = e cos t₁y = 4t+e,t=0

A: Curve equation

Q: Suppose that f(x, y) = 7, and D = {(x, y) | x² + y² ≤ 9}. Then the double integral of f(x, y) over D…

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Q: Determine the angle between each of the following pairs of planes- (a) 3x + 2y - 7z = 4 and (2,…

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Q: Consider the following. f(x, y) = 4y y y = 3x-x² D 3x - x² (³x-x² Jx y=x (a) Express the double…

A: f(x,y)= 4yWe have to find double integral over given shaded region

Q: 1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6)…

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Q: Find h(x, y) = g(f(x, y)). h(x, y) = g(t) = t + In(t), f(x, y) = 4-xy 5+x²y² +In 4 - xy 5 + x²y² X…

A: Given: To Find: To find .To find the set of points at which  is continuous.

Q: Define f(0,0) in a way that extends f to be continuous at the orig 15x²-x²y² +15y² 2 x² + y² f(x,y)…

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Q: Find all the local maxima, local minima, and saddle points of the function. 6 x² + y²-1 f(x,y)=- 2…

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Q: In (rªs² √74810) is equal to Alnr+ Bln s where A www and where B =

A: ln ( r4s2⁶√(r4s10)

Q: (a) Solve the initial-value problem. Y? dy dt y(t) = help (formulas). (b) The function y(t) either…

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Q: A Find T, N, and x for the plane curve r(t) = 5 In(sec t)i + 5tj. -<t</

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Q: lim x 3 x² - 2x - 3 T

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Q: Using what you know about the curve sketching algorithm, show that y=ln(tan(x/2)) is a monotonic…

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Q: (a) lim FIX 7²+x-100 22 – 5 (b) ²-3x+7 x+102-4 lim (c) lim 81IH 7² +11 4-2

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Q: Find the limit. lim (12.17) 2'2 (x,y)→>> x+y#1 x+y=1 √x+y=1

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Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: Topic : limits and continuity

Q: The base of a three-dimensional figure is bound by the line x = -y - 2 on the interval [-5, -2].…

A: As per the given question here the base of the three-dimensional figure is, x=-y-2The interval is…

Q: The graph of y=f(x) is shown below (dashed curve). Reposition the two green draggable points to…

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Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x).

A: We need to draw graph of derivative.As per Bartleby Guidelines we can solve one problem.Upload other…

Q: You are climbing a mountain by the steepest route at a slope of 30° when you come upon a trail…

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Q: r(x) = [(3x-2)/(2x)] ,  find r '(x)                                   2.)let f(x)= 3x2 -1,   find […

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Q: Find the area under the graph of y = x + 2 on the interval [-1, 2]. ਲਗੀਆਂ 54-2-1 1 2 3 4 5 3 4 n

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Q: het fncx) = 1 + 1JCa 10 Evaluate [faces doc @ Find facad face) and face) Ⓒ find lion faces and f'cor…

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Q: A region bounded by fly) = y, f(y) = 6 - y, and x = 1 is shown below. Find the volume of the solid…

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Q: ex If E(x) = x²e⁹ + In(π) O ee-1 + eº(ln(π) +e™) e²−1 + eº(ln(π) + eª) + ee−¹ e²+¹ + e²(1/ ln(π) +…

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Q: Find the limit. lim (x,y) →(18,18) x+y #36 O A. 6 O B. 12 x + y - 36 x+y - 6 OC. 0 OD. There is no…

A: We need to find the value of the given limit.

Q: x y + Write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

A: To write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

Q: Given the function f(x,y) = 4y-6x, answer the following questions. a. Find the function's domain. b.…

A: Given,f(x, y) = 4y - 6x(d)We have to tell the boundary of the function domain

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: option

A: Solving the problem

Q: To produce x units of a religious medal costs C(x)= 12x+63. The revenue is R(x) = 33x. Both cost and…

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Q: Green's Theorem in the (ry) plane for a 2D Cartesian vector field F(x, y) = F₁(x, y) î+ F₂(x, y) ĵ…

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Q: Find lim (x,y) →(3,0) 3x -y #9 √√3x-y-3 3x-y-9 by rewriting the fraction first.

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Q: Find ofldx and of/dy. f(x,y) = 4x4y af дх of ду || ||

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Q: S 2 x + 9x - 1 -dx 2 (x-4)(x + 1)

A: We have,

Q: Find the Maclaurin series for the given function. 1 X-4 Ο.Α.Σ n=0 Ο Β. - Σ x" 47+1 Oc. Σ C. 4" n = 0…

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Q: Find af/ax and ai/ay. 3y f(x,y) = 2x में dx ** | में by 11

A: Consider the given function.

Q: Assume that the recursively defined sequence converges and find its limit. a₁ = − 42, an+1 = √√42+…

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Q: Find the derivative of the function in the image below by using the definition, then evaluate the…

A: Use the defination of the derivative

Q: A 5-kg quantity of radioactive isotope decays to 3 kg after 18 years. Find the decay constant of the…

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Q: For the given function, complete parts (a) through (f) below. f(x,y) = 4x² + 25y²

A: Given the function is:f(x,y)=4x2 +25y2

Q: dw Evaluate at (u,v)=(5,1) for the function w(x,y) = xy-y²; x = u-v, y= uv. ди OA. -1 OB. 9 OC. 4 O…

A: Put

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 [25 + 1 (1 − z)6 dz

A: