Extension Question 1: If the inside of the composition of the logarithm is quadratic, what portion of the logarithm is defined? (Hint: this is covered in one of the videos..) (2 to 3 sentences)

Q: а. b. y g(x) g(x) 6 4.

A: Graph of the function g(x) is given, we have to find the limit at x=1

Q: Given the side length c = 9 and the angle A = 47° on the triangle below, find the lengths of a and b...

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Q: Sy²e3»dy

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Q: (please show work) A baseball team plays in he stadium that holds 68000 spectators. With the ticket...

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Q: 1. Let y be the part of the curve y =r² running from (-1,1) to (2,4). Calculate ry dr + (x+ y) dy.

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Q: 2. H(x) = 4x2 + 4x - 4 %3D Circle the correct choice: Concave up or concave down? Vertical Stretch, ...

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Q: 7. уз y =/x³ – 1/1+ vx

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Q: Given the function: f(x,y, z) = x°y2² + æy° +y°z Find а. fazy: (x, y, z) b. fazyz(1, –1, 1) -

A: Given the function :  f(x,y,z) = x3y5z7 + xy2 + y3z

Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

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Q: Derivation of a formula of volume cone (using Calculus, in two different ways).

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Q: The following is the graph of a function f(x). 4 3+ 2+ 1- 1, -1 -1- -5 -4 -3 -2 4 -2 -4 -5- Clear Al...

A: Graph of f^-1(x) is symmetrical about line y=x.

Q: dy Consider the differential equation dx Let y =Jx) be the particular solution to the differential e...

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Q: Evaluate the limit lim CSC X

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Q: Consider the function f(x)=1/x on the interval x>=1. find the Surface area and volume of the solid f...

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Q: 8) For this problem, consider the function f(x) = e". (a) Find P3(x), the third-degree Maclaurin pol...

A: Find your answer below 

Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y...

A: Given that: y=8x2+9x-7

Q: 5) lim f(x) x--2

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Q: Let y be the part of the curve y = x² running from (-1,1) to (2,4). Calculate xy dx + (x + y) dy.

A: (1)

Q: h3-4h 3. lim h-2 h3-2h2

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Q: equations. 1. (D2 + D)y = sin x %3D 2. (D2- 4D+ 4)y = e* 3. (D2 – 3D+ 2)y = 2x3 - 9x2 + 6x 4. (D2 + ...

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Q: Evaluate the ff: 23 D S fda, given f 6)- and acx) F 1 3+3 X

A: Let's find. 

Q: dy re: (e + e-")- = y² (separation of variables) da

A: Given that: (ex+e-x)dydx=y2

Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

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Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

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Q: [sin (21x) dx

A: ∫sin4(21x)dx Note- sin2x=1-cos(2x)2 and cos2x=1+cos(2x)2

Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

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

Q: Differentiate. y = In (8x? -7x+8) y':

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Q: y" + 4y = 4 cos x + 3 sin x – 8

A: For particular integral of cos ax or sin ax we put       -a^2 in place of D^2 in F(D)

Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

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Q: If f(w) tan (3w), find f' (w). Use exact values. f'(w) : %3D

A: We will find the exact value of f'ω when fω=tan-13ω in the following step.

Q: The demand for gasoline can be modeled as a linear function of price. If the price of gasoline is p ...

A: Given:- If The Price of gasoline is p = $3.10 per gallon,the quantity demanded in a fixed period is ...

Q: Compute the partial sums S2, S4, and S6. + 1.2 5 + 3. 4 + 2.3 S : S4 = II

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Q: A particle moves along a straight line so that s = 3t^3 – 4t^2. Find the time (in secs) to attain ma...

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Q: Consider the graph of the function f (x) = x2 – x – 6. (a) Find the equation of the secant line join...

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Q: Find the Taylor series generated by f at x = a. 4 f(x) = , a=D1 %3D O A. 4 E (-1)"(n + 1)x" n 0 O B....

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 1 S = n=5 n+1 n+ 2 where S...

A: Given: S=∑n=5∞ 1n+1-1n+2

Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

A: Series

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of ...

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Q: Given the function: f(x, y, z) = x²yz + xy+ +1 find: fz(1, 2, 3)

A: We will find fx1,2,3 in the following step.

Q: A o 5. Find the complementary angle of 26- Ao is 4 The complementary angle of 26= (Simplify your ans...

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Q: 2. (D+7)°y = 0

A: Hope you are asking for question number 2 in part C  I am answering it here.

Q: Find the slope of the tangent to the curve, y = 2x – x² +x° at (0,2).

A: Given curve is  y=2x-x2+x3.  We have to find slope of the tangent to the curve , at (0,2 ). To find ...

Q: Evaluate the improper integral. (Use symbolic notation and fractions where needed. Enter symbol co i...

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Q: Solve eX =9 for x. ... The solution is x (Type an integer or decimal rounded to four decimal places ...

A: Consider  ex=9

Q: • If we did not have logarithmic differentiation, what rules would we need to use to find the deriva...

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Q: 1) Does the series described by (-1)"; converge?

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 5)...

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Q: Question Select your answer. 3, Given f(x) : if I< -2 if – 2<a < 8 , estimate -2 I +3, if lim f(x). ...

A: Topic =Limits

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13