lim √2x² - 4x Evaluate *→

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A: y+x3y3dx+xdy=0

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A: First of all make a figure with monument at origin and both boundaries.

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Q: 1 — A [1-2 - 2 -5 1+4

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Q: hi isn't f(-4), not f(4)?

A: we can solve it by the observation of graph.

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x-2- 2x + [2- X x² + x - 2

A: Given :limx→-2+2x+2-xx2+x-2

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) 2…

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Q: Evaluate lim √9x² − 5x + 1 + 3x 3x). X118

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Q: Identify and sketch the domain of f(x, y) √x-y In (1 + y - x²)

A: ,

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Q: Find sin 2x, cos 2x, and tan 2x if cosx=- sin 2x cos2x = tan 2x = 7 1 1 00 and x terminates in…

A: See this solution in below.

Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

Q: 1. Find the minimum amount of fencing required to surround a rectangu- lar area of 100 square feet.

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Q: An invoice for $120,700 dated May 26, 2014 for a shipment of furniture has payment terms 1.5/15,…

A: Concept Used: 1.515EOM = There will be 1.5% discount on invoice amount if the payment is made by the…

Q: Show all necessary solutions and box all final answers. √√x² +11-3 x 4 3x²8x - 16° 1. Evaluate lim

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Q: Kindly solve it

A: Given differential equation  2xy'+y=2x

Q: Find the determinant of each of the following matrix a) b) 0 1 √√3 √20 0 √√3 0 0 0 2 0 2 0 0 √√3 √√3…

A: The given matrices are; a) 0            sqrt(3)     0      0     sqrt(3)       0           2      0…

Q: 5t Find the equation of the tangents to the curve y = sin x at x = 0, л, and . Graph the curve over…

A: Please see the below picture for detailed solution.

Q: Given: (x is number of items) Demand function: d(x) = 921.6 - 0.6x² Supply function: s(x) = 0.3x²

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Q: Evaluate each limit, if it exists: a)lim ²-4 X-2

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Q: 4 + 9x ≤ f(x) ≤ 12 + x²

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A: Cost function C(x) = 375+ 0.75x^(3/4) Then find the rate at which average cost is changing?

Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A: As 'y' is the solution of the differential equation , so it satisfied the given initial conditions.

Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

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Q: Find the area of the surface generated by revolving the curve y = √2x-x², 0.5≤x≤ 1.75, about the…

A: I am attaching image so that you understand each and every step.

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Q: ( xy² + y ² ) dy = ( x ³ y ³ + x² - y ³-1)dx

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Q: ← Find f'(t) if f(t) = -4t² +9t+3. f'(t) = K

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Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = -5ex - 4x; F(0) : = -9

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Q: 1. 2x - 1 2x - 3 X x+1 2x + 1 2x² - x - 3 = 0

A: We can solve the given equation by using the cross multiplication method.

Q: 2. Se* sin(e) dx

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Q: ood to go Evaluate the integrals S√4x²dx 2. S 1 (4+x²)² dx

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Q: 6. f10e* √1+2e¹dx

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Q: Consider the equation x + 2a of the given equation? O O x= O x= P= 5a b 4 11a-b 4 b-11a 4 b-5a 4…

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Q: Consider the graph of  (10 − x)y2 = x3. Find the slope of the graph at the given point.

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Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point 1-z…

A: The given function is: f(x,y,z)=xy+yz+zxGiven point:  P=1,-1,2The given direction line:…

Q: Evaluate_lim_ (√9x² − 5€ +1+3″).

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Q: The given table represents a pattern of exponential growth.   x      1        2          3 h(x)…

A: Topic- Exponential growth model  we are given points of a exponential function as h(1)=11.8…

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A: A total amount of $9,000 was invested with equal amounts in RYURX and RYIHX and the year-to-date…

Q: 7. S X e dx - X et + 4e¯x

A: As we know from the exponent rule: xaxb=xa-b And the common integral is: ∫1ax+bdx=1alnax+b+C   The…

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Q: A = -3 -30 25 1. -105

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Q: Let f(x) = x² - 64 x - 8 Complete the table below. Round all table values to four decimal places, if…

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Q: Let f(x) x - Complete the table below. Round all table values to four decimal places, if necessary.…

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Q: 5. 2w² - 5w+ 11 = 0 6. 7q²-3q + 1 = 0

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Q: [2 13 1 01 1 1 10 02 To 21 0123 10

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Q: 7. Use Midpoint approximation with n = 6 equal subintervals to approximate the following. 1 ln(x…

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Q: A certain retailers will buy 26 cordless phones from a supplier if the price is $31 each but only 27…

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Q: sec² (In x) cos(lnx) dx x

A: Given :∫sec2lnxcos6lnxxdx