2. Sketch the solution region of 2x − y − 1 > 0 (x − 5)² + (y + 1)² ≤ 25.

Q: Find the derivative of the function. f'(x) = Find f'(x) when x = 2. f'(2) = Give the slope of the…

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Q: K Analyze this conic section to answer the questions below. ²-6x-4y-11=0 UA. (Type an ordered pair.)…

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Q: Find the transfer function, G(s)=C(s)/R(s), corresponding to the differential equation, d³c dt3 +30²…

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Q: Find the average value fave of f(x) = x5 between -1 and 1, then find a number c in [-1,1] where f(c)…

A: We have to find the average value of function and value of c.

Q: 7. y - y = 16

A: The objective is to find the general solution .

Q: What is the inverse of the function f(x) = 3(x + 2)²-5, such that x < -2? OF-¹(x)=-2+. 3 5…

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Q: For the curve: f(x)=√x-5 the equation of the tangent line when x=9 is Oy--(x+1) Oy--1(x-1) y= Oy- (x…

A: This question can be solved using the concept of tangent and normal.

Q: 3. [√1+√zdz

A: Given:             ∫1+zdz  Apply u-substitution             u=z+1→dudz=12zdz=2zdu       =2∫u23-udu…

Q: Find the volume of the solid generated by revolving the region about the y-axis. 3π 4 ‚ x = 0, y = -…

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Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

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Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: {an} is a geometric sequence. a5 = 2, ag = -54 find a 11

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Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: a=, b= a) a-2b b) a + b c) à b d) The angle between a and b =) Find all vectors which are twice as…

A: We need to solve vector problem..

Q: Use the Root Test to determine whether the series converges. 2 1 3 1 1 ·* ·*·* ... + 18 36 54 72 +…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find equations of all tangents to the curve f(x) = 4/x that have slope -1. Options attatched

A: f(x) = 4/x                    Slope of tangent = -1

Q: • 25 Which of the following graphs represents (+2 30 la T 7 17 T 49 19 15 O . 7 17 T 19 19 15 19 19…

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Q: K Find an equation for the hyperbola described. Graph the equation Center at (1,-2) focus at (6,-2):…

A: Let's find equation of hyperbola.

Q: In marketing, the _____ represents the point where products neither make a profit nor incur a loss.…

A: Given question In marketing, the _____ represents the point where products neither make a profit nor…

Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

A:

Q: ← Find an equation for the hyperbola described. Graph the equation. Center at (-7,-6): focus at…

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Q: B Fig 1 1 y = (3x)3 A I. Find the co-ordinates of A and B X II. Find the area enclosed by the curves…

A: Please see the below picture for detailed solution.

Q: Evaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x = 5.

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Q: The linear approximation at x = and where B is: 0 to 1 X is A + Bx where A is:

A:

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: Evaluate the limit: lim 5 = x → 2

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Q: an List the first five terms of the sequence. 1 + an a₁ 1 a2 23 a 4 25 || = = = a1 = 3, = an+1 =

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: 1

Q: Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁) = 0.17, P(E₂) = 0.05, and…

A: We have to find the value of P(E4), the odds in favor of and the odds against E4 occurring.

Q: Answer the following True or False: If p(x) and g(x) are polynomials such that p(4): O True O False…

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Q: Write an equation for the hyperbola shown in the graph y=-21 The equation for the hyperbola above is…

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Q: Rewrite the expression in the form k. xn. 5 47²³_ 2√x 4x

A: We have find the solution

Q: 2. Find the point where the tangent line to the curve f(x) = x²lnxis horizontal

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Q: [x=t+1 B- Find an equation plane pass through point (1,0,0). If the line L₁ y=-2t Z -3t…

A: Given: 1,0,0 x=t+! y=-2t z=-3t

Q: sigma 4-0 (1-x)/sqaurerootx dx

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: Write an exponential mathematical equation to justify the statement log, (54) = 2.87744. Answer:

A: given, log454≈2.87744

Q: Write an equation for the hyperbola shown in the graph View an example The equation for the…

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Q: Which scenario best fits the linear equation? y=-2x + 5 Sammy's restaurant started selling…

A: Given equation,                         y=-2x + 5

Q: 1800 function Find the derivative of the following x3 F(x) = = 1²12²₁ = X5 (2t - 1)³ dt using the…

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Q: market

A: At market equilibrium, Demand= Supply , Supply: y = -0.05x +3.7 Demand: y = 0.02x + 2.3

Q: price

A: At Equilibrium, Demand = Supply,

Q: This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A…

A: Question: (a) Find an exponential model for the number of bacteria in the culture after t hours. (b)…

Q: The average value, f, of a function, f, at points of the space region is defined as f=¹ f dv, Ω…

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Q: y (az + √2) sin (ay²) dy + (az − √√2) dz = 0 4√2 ln az + √2 = C 4√2 In az + √2 = C 4√2ln az + √2 = C…

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Q: Which of the following statements proves the series-128+96-72+54- O 2 is geometric?

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Q: Consider the following piecewise function ƒ : R → R 3.2³ 7.x 8x²730 f(x) = Indicate which of the…

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Q: How would you express a line with a zero slope? x = 0y - b y = 0x + b x = 0y + b y = 2x - 2b

A: Solving the problem by finding the zero slope equation.

Q: e. f. f(x) = cot(-) cot(-) I f(x) = sin(x³ - x)

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And the common…

Q: The graph shows the rational function f (x) and the logarithmic function g(x). f(x)…

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