Q3) Find the limits of the following functions V2+12-4 3.lim t2+t-2 tan3x lim X-0 sin8x 1. lím 2. t-1t2-1 X-2 x-2

Q: Lim 9. x + 4

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Use the &-e definition of a limit to show: lim (3- x) = -2 | x5

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Q: CSC r+ sec x Express in terms of sine and cosine. cot x + tanr

A: We know that  cscx=1sinx  , secx=1cosx  , cotx=cosxsinx  and tanx=sinxcosxSubsituting in cscx+secxco...

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

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Q: Solve the Raphsun following equaticausing Newtuan thau (nay me x3 2X-5=0

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 cos 50 do

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Q: Find the most general antiderivative or indefinite integral. 8/x dx

A: We have to find the indefinite integral.

Q: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When ...

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Q: 12 DO NOT include spaces in between characters. * Find the equation of the tangent line to the graph...

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: We know that Rolle's theorem , If y=f(x) is real valued function of real variable such that, (i) f(x...

Q: lim ( In 2x + 5) + 4 X-1

A: The given limit,       limx→-1ln 2x+5+4

Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: Solve the dff oq 2. 3. 3. %3D 1

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Q: Find d'y /dx? Y = xtan (-)

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Q: 2) f(x) = x +: [1,3] a- Determine whether the Mean Value Theorem applies to the given function on th...

A: Given  f(x) = x+1x;  1, 3

Q: Express the following number as a reduced ratio of integers. 0.32 0.32323232...

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Q: 5. S V16dy = 6. J 2 V8dc 7. J 3 27dx

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Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)² , and passing thro...

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Q: Consider the points A(2, -3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

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Q: Find the volume of the following solid. The solid above the region R= {(x,y): 0<x<2, 0sy<4-x} and be...

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Q: s² -a Find the value of r' at s = 2a if r(s)= %3D s* +a“ Your answer

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Q: Use the intermediate value theorem to show that f(x) = 4x^3 - 6x^2 + 3x - 2 has a root between x = 1...

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Q: Find the derivative of g(x)= using the limit definition

A: Solution:we have use formula g'x=limh→0gx+h-gxhgx=1x-1g'x=limh→0gx+h-gxhg'x=limh→01x+h-1-1x-1h=limh→...

Q: S(6w +12w) Vw + w° dw

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Q: The graph of f' is given to the right. Determine x-values corresponding to local minima, local maxim...

A: We have to find x value for different points. 

Q: II. Find There is no need to simplify. dr cos-(sin r) – sech(tan- r) 1. y = ecosh z 4r (log3 r) (csc...

A: Given problem:-   To find:-  dy/dx of given function

Q: Find the area of the region bounded by the curves, x = -6, x = 6, axis and the parabola x2 – 4y – 16...

A: Given:       Parabola x2-4y-16=0                 x2-16=4y                   y=14-x2+16 The area unde...

Q: 4 5 -7 -6 -5 -4 3 -2 -1 0 1 2 --1- -2 --3 --4- --5- --6- [ Select ] a = b = [ [ Select ] [ Select ] ...

A: Topic:- geometry   

Q: Consider the points A(3, – 1, 3), B(4, –3,0), C(-2, –2,0), and D(6, 3, –5). (a) Find the volume of t...

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Q: Find the direction cosines and angles of u and show that cos? a + cos?B + cos? y = 1. (Round your an...

A: Here we have to find the direction cosines and angles of u.

Q: Use the intermediate value theorem to determine whether the function f(x) =x + 6x-8 has a root or no...

A: Here, the given function is: f(x)=x3+6x-8 Now, f(1)=1+6-8=-1f(2)=8+12-8=12  

Q: for power substitution method, next step is * For Sdz 16 – 5(u²)â + u² -(2udu) 4 – u? r6 – 5u² + u? ...

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Q: (1) As x→ t0, the end behavior of the polynomial p(x) = 3x°(1 – 2x + x°) can be resembled as (A) p(x...

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Q: Evaluate the definite integral. 1 xp 9 + (x + 5)2

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: Let's find. 

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: B. Directions: Using special functions, evaluate the following:

A: Question 1,Given,           limx→0sinlnx5lnx

Q: (a) Find the general solution to y" – 2y + 50y = 0. In your answer, use A and B to denote arbitrary ...

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the...

Q: 11. S 8a'da = %3D

A: This is a problem related to integration. Based on the general formula of integration we will solve ...

Q: Question 7 of 8 > -/5 View Policies Current Attempt in Progress Consider the points A(1, –1, 4), B(2...

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Q: 2 NOT: L..

A: We have to find the value of x such that f(x)bis continuous but not differentiable

Q: 10 Which of the following is the derivative of g (x) = x2 -10 g (a) = x3 O g (2) = -10 d (x) -10 O g...

A: Question is solved.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Correct region and solid÷

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y

A: area of the bounded by the y=1+lnx3x

Q: sin 0 Cos O tan 0 Csc 0 sec O

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Q: 2 Find CD C = 4 %3D 5 6 Find DC D

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Q: Evaluate the definite integral. 9. 1 dx 25 + (x + 4)2

A: We have to integrate