Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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A: We have to find the equation of tangent and normal to the above curve.

Q: II. Find the equation of the tangent and normal to the curve at the indicated point 1. y =x at (2,4)

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Q: 10. Do the required operations and simplify. State any restrictions. (x+1}*x (x-1)? x+2x-3x+4x+3 a)....

A: We can simplify the given questions as below.

Q: For the following function, a) give the coordinates of any critical points and classify each point a...

A: A) CRITICAL POINTS:f(x) =xx2+36f'(x) =-x2 + 36(x2+36)2f'(x) = 0-x2 + 36 = 0x2 = 36x =±6 Critical poi...

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Q: 9. Prove the following algebraic identity: (a - b)(a? + ab +b?)=a' -b'

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Q: (sin 20+1)d0 4. S sin²0+0

A: Given: I=∫(sin2θ+1)dθsin2θ+θ

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A: A ball is thrown upward with a velocity of 160 feet per second. The position of the ball at any time...

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Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

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Q: Question #2 ( a) Given the sketch of the following function segment, what are the signs of the first...

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Q: 4- -2 -2 2.

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Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

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Q: 8x*- Vx Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal pla...

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Q: Find the general solution of the given second-order differential equation. у" - у' — 30у %3D 0 y(x)

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Q: 10. If 72% of a certain quantity is 162, find the quantity. Ans. 225 11. If 16% less than a certain ...

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Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1 si...

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Q: (a) Find all the zeros of the polynomial function P(x)=x² +6.x+ 20. Use a graph to help get started....

A: Explanation of the answer is as follows

Q: 3. Differentiate the following function. Give the answer in a simplified and factored form. y = (x³ ...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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Q: 3e"dx 3x 1. 3x – 16 2. x 10 – 3x°dx 3. / In (cos®) an@ de 3.

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Q: Write the first five terms of the sequence: +00 {Vn²+ 7n – n}n=1 Determine whether the sequence conv...

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Q: Quadrant I Quadrant II Quadrant III Quadrant IV 13л 13л 33л 5л - - 3 4 11 3

A: -13π9C=-13π9x180π°-13π9C=-13x20°-13π9C=-260°-13π9C≡360-260°-13π9C≡100° And 90°<100°<180°Theref...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) = 4x...

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Q: sin2t costdt

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Q: 12. Simplify. 6m? + 13m – 5 9m? – 4 8m? + 16m – 10 6m2 + m – 2

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Q: Consider the following sequence: ta) - { (-1)+1 {a,} n2 n=1 (a) Write out the first five terms of th...

A: (a) Given: sequence is <an>=-1n+1n2n=1+∞and can be expressed in the form of set as,<an>=...

Q: Suppose for a particular commodity, e = 1.4 and that currently 90,000 units are selling for $20 each...

A: We have to find the decrease in revenue due to increase in price by 1%.

Q: f(x+h) = 1/x+h+3 compute and simplify f(x+h)-f(x)

A: Given that, f(x+h) = 1x+h+3 We have to find the value of f(x + h) - f(x).

Q: 8 csc? 4x cos(cot(4x)) dx sin² (cot(4x))

A: Here, I will be using method of substitution to solve this integral. You can assume:           sin(c...

Q: If ep 7.e..p..t..compute dp/dt when p = t = 0.

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Q: If F is a continuous on the set of real numbers, then SxF(x)dx = x [Flx)dx A) True B) False

A: Lets assume a contiuous function to check the given statementF(x) =x+1

Q: Last summer, a DAVDECO electrician conducts a record of the electrical voltage supply readings withi...

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Q: et/2 f(t) attains its local or absolute minimum value(s). The minimum(s) are t =

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: ------ Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - 0o an...

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Q: If F(x) = Stan-'t dt, evaluate F(V3), F'(V3) and F"(V3). %3D

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Q: Use the difference an+1– an to show that the sequence - {n – 9n}+0 In=1 is strictly increasing or st...

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Q: the supply and demand functions of a given product QS is x2 + 14x + 22  and QD = -x2 - 10x = 150, de...

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Q: calculate af fe and ду

A: ∂ ∂ xxyx2-y2x2+y2

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Find the slope of the following curves at the indicated point. 1. y= 4-x? at (3, - 5)

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Q: 2. The figure below shows the graph of a function over a closed interval -2,3. At what domain points...

A: Here, from the given graph we can say that function has a jump discontinuity at x=0 and removable di...

Q: 2/3 Consider the function f(r)--7(x--3)**. For this function there are two important open fntervats:...

A: We need to find the Critical points of  f(x)=-7x-323

Q: Use the definition of the Taylor series to find the Taylor series of each of the following functions...

A: Given f (x) = sin x, c = π/4  We have to find the Taylor series and  radius of convergence.   

Q: goneral the different equatón of (i'ela_ y) de o xydy .o find the so lution of +

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Q: Let f (x) and 8 (x) be antiderivative of h (x), The which of the following is true? d (f (x) dx 8 (x...

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