If q(x) = 3x², 7ex find lim q(x). X→ +∞

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A: Given: Rate of increase of radius = 0.01 cm/min Radius = 50 cm

Q: (For Urban Planners & Developers). During a supplemental lecture, a Math Teacher presented a…

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Q: 25. y = In xa bx

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Q: 2²4 2² The two-dimensional Laplace equation 2+2=0 describes the potentials and steady-state…

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Q: If 4 + 2i is a zero of a function, what other zero will the function also have? O2+i O 3-i O 2-4i O…

A: The answer is given below:

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: Exercise 1.1: Apply integration by parts once to get 2n In(a) = [(1 - 2²)" cos(az)dz = ²"…

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Q: Suppose F′′(x)=Ax+B, with F′(1)=r and F(1)=s. Find F′(x) in terms of A, B, and r. F′(x)= Now find…

A: given  F''(x)=Ax+BF'(1)=r and  F(1)=sF'(x)=∫(Ax+B)dx∫xndx=xn+1n+1+c

Q: If the function y = 2x² is integrated between the limits of x = - 3 and x = + 3, the result is ____

A: The function is given by y = 2x2 To evaluate: The integration of the function between the limits…

Q: 2. L{t7}

A: We have given function to find Laplace transform  Using formula  Ltn = n!sn+1 Put n=7 Lt7 =…

Q: Use Green's Theorem to evaluate the following line integral. ffdy-go y-g dx, where (f.g) = (6x²,3y²)…

A: Let's solve given integration.

Q: 7″ Find the exact value of tan- 12 02-√3 02+√3 0-2-√3 0_2+√3

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Q: 5. Given sin 0 = 7 for 0 in Quadrant II, evaluate the six trigonometric functions. 25

A: Given query is to find 6 trigonometric functions.

Q: An arithmetic sequence has a15 = 86 and a34 = 200. Find a150. an = a₁ + (n − 1)d -

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: Find f such that f′(x)=6/ root x​, ​ f(4​)=36.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: Evaluate the integral. 2 Wy -9 y -dy, y> 3

A: Since we have the term y2-9 we will try to bring in the form of 9(y2-1) = 3(y3)2-1 If we replace y/3…

Q: Find the value of fr and fy at (1,-1) when 4 +5x² + 3y². xy f(x, y) =

A: Given: fx,y=4xy+5x2+3y2We need to find fx and fy at 1,-1.

Q: √2x √2x + 1 dx

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Q: 13. A right circular cylinder is inscribed inside a sphere with radius r = 3 inches. Find the…

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Q: Find an equation for the hyperbola described. Graph the equation by hand. Center at (0,0); focus at…

A: Let's find equation of hyperbola. Given centre,vertex and focus.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=x² + xy + 5x+3y-1…

A: Given f( x, y ) = x2 + xy + 5x + 3y - 1 for maxima and minima step 1) ∂f∂x = 0  &  ∂f∂y = 0 r =…

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: The differential equation da = x +y is separable.

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Q: 16) Find the amount of a continuous money flow in which $900 per year is being invested at 7%,…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: Approximate the area under the graph ofvf(x)=0.05x4−3.24x2+94 over the interval [4,8] by dividing…

A: Given function:- fx=0.05x4-3.24x2+94 , 4,8

Q: y that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then…

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Q: What is the area of the region bounded by the curve y = sin x and the x-axis on the interval x = π/2…

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Q: Which of the following expressions does sin(x - y) - sin(x + y) simplify to? O-2(cos x)(cos y)…

A: The answer is given in step 2

Q: (a) Find the absolute maximum and minimum of function f, if any, on the given interval and state…

A: Question - 2(a) Given, fx=3x-1x-1x+3 Interval: -3,1 Formulas used,…

Q: ich Vector Integration technique/theorem should you use for the problem below? Please use complete…

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Q: Use the Divergence Theorem to evaluate (5x + 11y + z²) ds JJS where S is the sphere x2 + y2 + z2 =…

A: We have to use the divergence theorem to evaluate the integral.

Q: 5x50 3 £ =ㅅ

A: The given curve is  y=x33,  0≤x≤3

Q: What are all of the solutions to the equation (cos 30)(cos ) + 1 = (sin 30)(sin 9)? R T ==+= 4 2 0…

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Q: n²cos (1/1) 2n² + 1

A: Given query is to find the series converges or diverges.

Q: Graph the parabola and find its vertex and axis of symmetry. 2 y = x² + 8x +9

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Q: how do you find the polar area of the following single curve, Calculus 3, using the polar area for…

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Q: Find an equation of the line having the given slope and containing the given point. 3 m=, (5,-1) ...…

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Q: Let S be the part of the plane z = 2 - x - y which lies in the first octant. Evaluate the flux…

A: A detailed solution is given below.

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4 2 3 4

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Q: You decided to invest into a mutual fund that pays 3% per year, compounded monthly. How much should…

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Q: Find the solution of the following differential equations. Show your solutions 4. (D4 – 2D³ — 5D² +…

A: As per the guidelines I am supposed to do the first question among multiple questions. Still here I…

Q: (a) (उ, म ) |

A: Given  a .

Q: f(x, y) = cos² (9x – 3y²) of дх of ду

A: To find the partial derivatives

Q: Current Attempt in Progress Find the average value of f(x) = Enter the exact answer. fave = X…

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Q: Find the particular solution. dy dx - 3y = 12, y = 6 when x 0

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Q: Find all the complex roots. Leave your answers in polar form with the argument in degrees. The…

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Q: Definite Integrals and Areas A city's electricity consumption is -3t2+18t+10 units per hour, where…

A: We need to find total electricity consumption between 1pm to 5pm.

Q: Evaluate the integral. 1 S₁ √x (1+√√x) S 1 √x (1+√x)² dx dx=

A: We need to solve integration.

Q: A cylindrical water tank has a height of 6 m and a radius of 4 m. How much work is required to empty…

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