(-금x+ 2, x < 0 2. Letg(x) = x = 0. Does the lim g(x) %3D -2, x + 2, x>0 exist? If yes, give its value. If not, why?

Q: Find the limit of the following functions x 5 +3 x3−2 as x→2 X3 +4/X-4  as x→4

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Q: raph the following functio and show domains and range

A: Range will be all real number  And domain will be all point except where it is not defined. 

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos( -2 <y <0...

A: Topic = Volume

Q: 49369/assignments/326920 Carmmg 0as. mterpret porynomal o metion Denavior ana ICs CommectIOH tO CnG ...

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = sec y =...

A: Here, the region bounded by the curve y=sec x, y=0  from x=-π4 to x=π4 about x-axis is:  

Q: Evaluate the integral: 13 – 64x dx - + C

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Q: dy 1 6y'z da y (1) = = 25

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Q: cm/ min when the height is / m. The height is changing at a rate of (Type an exact answer, usingn as...

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Q: Evaluate ∫ e^−x2dx as an infinite series.

A: This question is based on indefinite integral.

Q: Find the general solution. (x³+3xy²)dx + (y³ +3x²y)dy=0 O a. x4-y4-6x²y² = c О а. O b. x*+y*+6x?y? =...

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Q: Solve the following problems a. Which of the following are the coordinates of a point where the tang...

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Q: 1. Find the root of f(x) = cos x + 2 sin x +x? by using Secant method. Let the initial value xo = 0 ...

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Q: Solve: x'y" + 3xy' + y =0 2_2)

A: Please refer to the image below

Q: (a) Use the definition of the derivative to find the slope of the tangent line to the graph of the f...

A: Given; fx=65x &amp; Px0,y0=3,25 As we know that; The slope of the tangent line to the given curve is...

Q: Find the general solution. dy_ y _ x+y dx X-1 O a. y= cx?- x+1 O b. y= cx?- x(c+ 1) O c. y= cx?- x-1...

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Q: Implicit differentiation x^3+4x+y^2-3y+1=0

A: x3+4x+y2-3y+1=0

Q: x'cos x dx cos x Jo

A: LetI=∫0πx3cosxdxUse integral by partsI=x3∫cos(x)dx-∫∫cosxdx.ddx(x3)dxI=x3sinx-∫ 3x2sinxdx0π         ...

Q: 2. Y = (5x³ + 2)6 ;y"

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the first and second derivatives. 5. 6x y= – 7x + 8 eX

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The path of a total solar eclipse is modeled by f(t) = 0.002311 - 0 506t + 40 266, where f(t) is the...

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Q: The population of a city is 40,000. The city grows continuously by 3.6% per year. Co rs If this tren...

A: We have to find out number of people after 12 years

Q: Find fræ, fry and fun for the function YY f(x, y) = 3x2 + 3x?y² + 2xy+ + 3y³ Select one: O a. fræ = ...

A: Given query is to find the indicated partial derivatives.

Q: Given the following table, give the best estimate for f'(9) - f(9) 3 12 15 f(x) 39 42 53 64 27 4 The...

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Q: The speed of the traffic flowing past a certain downtown exit between the hours of 1:00 P.M. and 7:0...

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Q: Let f (2) = 2 22 +6 x + 5 . We will use the definition of derivative to find the deivative of f (æ)

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: A 13-foot ladder is placed against a wall. If the top of the ladder is sliding down the wall at 3 fe...

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)  

Q: Activity 3. "Let's be connected with each other" Directions: Compute f'(3) for each of the following...

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Q: dy 1 dx xlnx x²Inx

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Q: 1. Use the Product Rule to differentiate y = x³(2x + 1)*.

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Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative...

Q: Find the Taylor series of f(x) 1 1 centered at c = 7. Choose the Taylor series. 1 %3D 1 . 6" n=0 00 ...

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Q: Evaluate the integral. (Use C for the constant of integration.) COS3 sin? dt Need Help? Read It Watc...

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Q: 3) Given f(x) = 3x • 5x and g(x) = 7x², is the following true? Explain your answer. %3D %3D d[f(x)

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Q: Consider the polar equation r = 16 cos(0) – 12 sin(0). (a) Convert the given polar equation to a Car...

A: The given polar equation is: r=16cos(θ)-12sinθ...(1)

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

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Q: 4-ху Find lim (x,y)¬(2,1) x²+3y2 if it exists, or show that the limit does not exist.

A:    limx, y→2, 14-xyx2+3y2Plug in the value x, y=2, 1=4-2· 122+3· 12=27

Q: Calculate the derivative of the following function. y = (csc x+ cot x) dy dx II

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Q: Given the matrix 4 1 -1 0. 0 2 -1 (a) find its determinant; Your answer is : (b) does the matrix hav...

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Q: Given: f(x) = x + Vx; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an a...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: Find the derivative of the function. h(t) = + 9. h'(t) = Need Help? Read It Master it

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Q: By direct differentiation, find f(x) where flz) = 3x-2

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Q: W = f(T,v) where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A ...

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Q: Find fr and f, for f(x, y) = 3x³ + 4x²y+ 4xy² + y? Select one: O a. fa = 12x? = 9x? + 8xy + 5y², = 9...

A: Given -  f(x,y) = 3x^3 +4x^2y + 4xy^2 + y^2 To find fx and fy.  

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.)  lim x→−2  x3 + 8 x2 + ...

A: Given limx→−2x3+8x2+7x+10

Q: For questions 2-5 please determine the following: a). End behavior of f(x). b). Determine the r-inte...

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Q: Problems 3. Let x= [2,1,4,8] and y= [1,3,6,2]. Calculate the following products : 4 4 4 b. П II * a....

A: Topic = Algera As per guidelines , At  a time only three sub-parts can be answered.

Q: az Use the Chain Rule to find az and as for z = x2y3,x = s cos t, y = s sin t. %3D at

A: We will use chain Rule to perform differentiation.

Q: Answer the question below: 1.) The student task is to find an equation of the level of surface of f(...

A: We want to find the equation of the level surface.