Evaluate lim x-2-2-√√4x-x²

Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: The general solution of the D.E. dy/dx + y cotx = 1 is a. y -cotx + c sin x b. y = -tanx + C CSC X…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

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Q: tan2x-2sinx lim x→0 x3 a. 0 b. infinity c. 3 d. DNE Find the slope of the curve y = 64( 4 + x) 1/2…

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Q: Evaluate lim f(x) where X-3 (3x-2 if x3 09 O does not exist O 11 07

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Q: 7) If z(x,y) = x² + y², x=u+v, and y=u-v, find dz du

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Q: 1. Consider the differential equation y" - ry - y = 0 a) Determine two linearly independent power…

A: answer is in next step

Q: 12. What is the amplitude of the graph below? y 4 0 8+ 7+ 6+ 5+ 4+ 3++ -1- -3+ -4+ -5- -6+ -7+ -8+…

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Q: Particular solution of y" - 5y'=x-2, when x = 0, y = 0, y = 2

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Q: Find an equation for the plane that is tangent to the surface z = In (x³ + y²) at the point…

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Q: 1) Find the area, in square units, bounded above by f(x)=6x² −9x−6 and below by g(x)=7x² −5x−3.

A: Here we have to find the atea Bounded by graph.

Q: a. f(x) = (x² − 9) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: . Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Topic:- function  and application of integration

Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

A: The given problem is solved below in detail.

Q: 1. Find the general indefinite integral. 5e + 3 sin x dx (b) ["be²

A: We have to solve this given integral . For this first we solve the general indefinite integral &…

Q: y = у 3x-1 x2+3

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Q: √x-3 x-3+√√√x²-9 Evaluate lim

A: Given query is to find indicated limit.

Q: Evaluate f x5 dx - √√x6-1

A: Topic:- indefinite integration

Q: Compute the center of mass/ centroid of the region R = {(x, y): 1≤x≤3, 0≤ y ≤ x²

A: Here we have to find the centre of mass of a region.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

A: Topic:- application of derivatives

Q: write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Suppose you measure t asure the following (x, y) values: (1, 1.5) (2, 1.8) (5, 4.3) (7, 6.5) + You…

A: The given points are:  1, 1.52, 1.85, 4.37, 6.5 Let the line of best fit is: y=ax+b Using the points…

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Q: This question is designed to be answered without a calculator. Let f be a function such that lim…

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Q: e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

A: Use limit concept

Q: Given R(t) = 4 costi + (1+ 3cost)j +5sintk. Find N(t) at t = = www. N(t) = ----k 10 Option 1 N(t) =…

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Q: EC) Find the average value of the function f(x,y)=²+2x+3y-15 over the rectangular region R=…

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Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: Obtain the general solution unless otherwise instructed 2. y - y' - x = 0 Ус = Ур y =

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Q: calculator. Use this graph of function f. y at X = O conly. Od only. Oc and d only. O a, b, c, and…

A: Topic:- function

Q: 6.0 A force of 20 lb stretches a spring from a natural length of 7 inches to a length of 12 inches.…

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Q: Given r = 1 - 3 cos 0 find the following. Find the area of the inner loop of the given polar curve…

A: Given that a curve       r  =  1 -3cosθ                                   first we'll need to…

Q: Use differentials to approximate the value of (1.02)².

A: Given :y=(1.02)2

Q: Evaluate (ƒ¯¹) '(2) for the function 3 2 f(x) = √√√x³ + x² + x + 1. Explain your reasoning and write…

A: The given function is  f(x)=x3+x2+x+1

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: Question- Assuming that the equation below defines y as a differentiable function of x, find the…

Q: uate (f¹) '(2) for the function f (x) = √x³ + x² + x + 1. lain your reasoning and write the solution…

A: Topic:- function and its derivatives

Q: 10) Find the volume of the solid bounded above by the graph of f(x,y)=2x+4y³ and below by the…

A: Here we have to find the volume.

Q: Use the by revolving The C Type an 4 S 3. to the nearest AY N Ə Shell Method the shaded is Cubic…

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Q: Ussing the Simpson Is rule, find the followmy integrals. A=2 zolnہوم @

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