Question 8 Find f'(x) if f (x) = log (cot 8x). 8 tan 8x In 6 - csc² 8x tan 8x In 6 8 csc 8x sec 8x In 6 8 csc 8x sec 8x O None of these

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Q: (5) The value(s) of c that satisfy the conclusion of the mean value theorem for f(x)=on [1,3] is (A)…

A: Given :fx=1xa=1b=3

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A: Given velocity( v ) = 22.2 kmhlet angle( θ ) = 16.7°

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Q: For the following relation, give the domain and range, and indicate whether it is a function. {(6,…

A: The given relation is:  6, 8, (1, 9), (7, 1), (4, 5)

Q: Find the average rate of change of the function f(x) = Average rate of change = Give exact answer!…

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Q: At price p = 5, the demand D given by D(p) = 15 - 1.5p is O a. of unit elasticity O b. inelastic O…

A: Solution is given below.

Q: Question 3 Consider the function f of one variable with equation y = f(x) = ln(a − e*) where a is an…

A: Given function is f(x)=ln(a-ex)Note:-As per bertleby guideline I have to solve only first three…

Q: I cannot read the writing. Can you please type it?

A: We have to discuss about the imaginary unit.

Q: ——— For the function f(x) = 3 − (x + 1)³, at the point (0, 2) – O a. f has a relative maximum. O b.…

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Q: Question 1: Let f(x) = x³ - 3x² +4. a) Find the intervals of increase and decrease. b) Find the…

A: Let fx=x3-3x2+4a To find the intervals of increase and decrease.b To find the local maximum values…

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Q: Given the function f(x)=ln(3x^2+2x) compute f’(1)

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Q: Evaluate x² +1 - - (x − 1)(x − 2)(x − 3) dx.

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Q: dentify one angle between 0° and 360° that has the same reference angle as a 30° standard angle.

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Q: 4(u. v) (4u) v u - (4v) (ū - v) v - - 11 www www

A: We have to find the product of vectors

Q: f(x)=x^3+6x^2+3x+18 by factoring (use grouping) and using Cardano's formula.

A: f(x) = x3 + 6x2 + 3x + 18 f(x) = (x + 6)x2 + 3(x + 6) f(x) = (x + 6)(x2 + 3) The roots of f(x) = 0…

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A: To find the average value during first three months.

Q: can you write it and take a picture becasue I am very confused with how it is written

A: The given function is; y=(6x^2-4x)/(5x^2-6)

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Q: on b led by the graphs of f(x) = g(x x+2 4, and the vertical line x base of a solid. Cross sections…

A: We will find the required.

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Change the order of integration and evaluate [[₁²√I+ Y x√1 + x²³ dxdy.

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Q: whats the distance of JK, where J(4,3) and K(2,-3)?

A: Concept Let two points  P( x1 , y1 ) & Q( x2 , y2 ) Then PQ = ( x2 - x1 )2 + ( y2 - y1 )2

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Q: [ (3² + x²¹ - 2² ²+1) dx (1

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Q: (2) If g(x)=√x+x²+1 In(t) dt, then g'(x) = (A) (4x³ + 2x) In(x4+x² + 1) - 2x ln(x² + 1) (B)…

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Q: 3. A 1500-L tank leaks water so that the volume of water, in litres, remaining after t days, 0≤t≤15,…

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Q: Find the vector v = PQ. P =(4,5,3) Q = (4,8, 4) V =

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Q: For the function f(x) = 3 - (x + 1)³, find the interval on which fi increasing. O a. (-∞, 3) O b.…

A: given   f(x)=3-(x+1)3 for increasing  f'(x)>0dxndx=nxn-1

Q: Find an equation of the plane that passes through the points (−6, 1, 1), (0, 6, 11), and (1,0,−1).…

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Q: Consider the curve given by x² – 6y² – 5 – 4xy . x+2y dy dx 2(3y-x) Show that

A: Given : x2-y2=5-4xy   To Show : dydx=x+2y2(3y-x)

Q: y' 3x - 2y² 2xy

A: Given differential equation:- y'=3x-2y22xy

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Q: (c) (d) y" +36y=0 d'y dx² +4dy +4+y=0; y(0)=2, y'(0)=1 dx

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Q: 6. Solve for the volume of the solid after rotating the region bounded by y = x³ and y= 2x² about…

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Q: Suppose that P = is a position vector. What is the equation of the horizontal plane that passes…

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Q: A company produces a specific good for which the revenue function in terms of the produced amount q…

A: A company produces a specific good for which the revenue function in terms of the produced amount q…

Q: n angle in standard position has its terminal arm passing through (2, 3). Determine the measure of…

A: we will find the required.

Q: In finding the centroid of the area bounded by y=x, y-axis and y=2, which of the following gives the…

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Q: 10. Find dy/dx by using partial differentiation 2 arctan = In(x² + y²).

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Q: A line ₁ has æ– and x- y-intercepts (0,3) and (3,0), respectively. Find the general form of the…

A: Concept when two lines atre paralle to each other then their slopes will be equal to each other…

Q: 0 IN R(y)=3-(y² +1) =2-y² x=y²+1 (3, √2) (3,-√2) R(y) = 2 - y² x=y² + 1

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Q: For the function f(x) 1 42 P 2, find the value of x for which f(x) = x.

A: Equate f(x) to x for finding x

Q: What is the volume of solid generated when the area bounded by y=x2² and y=4 is revolved about y=4?…

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Q: 2) Find the range: A)y=1-2x-r² Bly= C)y=1-(0.1")

A: