Express the following as a single logarithm. In(13+x³) + ln x - ln (cosx) = |

Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

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Q: X Consider the function f(x) = x2x+9 The absolute maximum of f(x) (on the given interval) occurs at…

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Q: Numerically estimate the absolute extrema of the function f(x)=x4-28²-32x+1 on the interval [-1,1].…

A: We have to find the absolute minima and maxima.

Q: Find the equation of the tangent plane to the surface z = cos(5x) cos(6y) at the point (2π/2, π/2,…

A: The equation of the tangent plane to the surface ?=?(?,?) at the point (?,?,?(?,?)) is…

Q: 112 15 A rocket is being launched. After a while, it rises at a constant velocity of 10 miles per…

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Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

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Q: 100 Determine, with full justification, if $19 da converges.

A: We have to find the following conditions according to the given information

Q: O 62 sin² (1) da = In(sin(x)) + 6 In(sin(x)) In(sin(x)) + In(sin(x)) (Apply integration by parts…

A: ∫u(x)v(x)dx=u∫v(x)dx-∫ddxu(x)∫v(x)dxdx ∫cotxdx=ln|sinx| ∫csc2xdx=-cotx

Q: The equation of motion of a particle is s = t³ 12t, where s is measured in meters and t is in…

A: Use rate of change concept

Q: Find the general solution to 3y''+xy'+y=0 in the form of a power series around the ordinary point…

A: Note: this x0=0 is an ordinary solution. Let us assume that:y=∑n=0∞Cn(x-0)n…

Q: - 1) If / (z −4) (2 + 6) 6 O 10 O 1 O 4 dr = | Adr 2-4 √ + Bdr +6 then A+B = The area under the…

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Q: :2 ¡dx 4

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Q: 168x+7,-6 ≤ x ≤ 14. Consider the function f(x) = 2x³ 9x² The absolute minimum of f(x) (on the given…

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Q: Suppose z = x² sin y, x = −5s² + 3t², y = -6st. A. Use the chain rule to find 53 33 and as functions…

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Q: A rectangular box has a width of 7 cm and a length of 1 cm. The volume of the box is decreasing at a…

A: Topic = Volume

Q: A quadratic function f is given. f(x) = x2 + 2x − 1 (a) Express f in standard form

A: Topic = Function

Q: Optimal Chapter-Flight Fare  If exactly 196 people sign up for a charter flight, Leisure World…

A: need to find out the maximum revenue and fare per passenger.

Q: conical tank with the point oriented down, a height of 20 feet, and a radius of 3 feet has sprung a…

A: Given query is to find rate of change of height.

Q: Evaluate the definite integral. 1 lis 0 (5* −_4*) dx

A: solution:-∫015x-4xdx=∫01exln5-exln4dx=exln5ln5-exln4ln401=e1ln5ln5-e1ln4ln4-e0ln5ln5-e0ln4ln4=5ln5-4…

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $9 the…

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Q: Find the area of the parallelogram with vertices P C0, 0, 0) QC 31-374) R(3₁-1₁ ~51 5C6₁ -4,-97

A: Concept: The area of the parallelogram ABCD is  Area=AB→×AC→

Q: 1.y = 3x cos=-9sin 2y=2csc(1-3x) tan 2x 3.y=1-cot 2x

A: According to our guidelines we can solve first 3 questions please upload remaining…

Q: Check that the point (1, 1, 1) lies on the given surface. Then, viewing the surface as a level…

A: Given surface: x2-y2+4z2=4 and the point 1,1,1.

Q: Find fx (x,y) and fy (x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = ex+y+4 fx(x,y) = fy(x,y) =…

A: Given f(x,y)=ex+y+4

Q: Given f(x, y) = ry - 6zy. Compute: 8²f dz² 8²f dy²

A: Topic = Derivative

Q: Describe the domain and range of the function. f(x, y) = 9x² - y Domain: {(x, y): x ≥ 0, y ≥ 0} {(x,…

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Q: 2x +3 x²-9 da

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Q: Find an equation of the tangent line to the graph of the function at the point (-1, 4). y = 4 x y =

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Q: For the function f(x,y,z) = 4x - 3y 5z + 1 find fx, fy, fz, and fyz. 9

A: f(x,y,z)= (4x-3y)/(5z+1)

Q: If ƒ(x) = (x² + 4x + 8)², then f'(x) = f'(3) = places) (round to 3 decimal

A: f(x)=x2+4x+82 f'(x)=ddxx2+4x+82   Let, g(x)=x2+4x+8 So, the function can be written as:…

Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: NOTE: Refresh your page if you can't see any equations. . x=age y=monthly premium x y 35 120…

Q: The area of the region bounded by the two curves y = x² and y = 16 is Square Units

A: To determine the area of the region bounded by the two curves y=x2 and y=16.

Q: Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = 2x² + 700x -…

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Q: Find the following using the table below. 1 2 3 4 12 x f(x) 3 4 f'(x) 2 3 1 g(x) 2 1 3 g'(x) 2 3 1…

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Q: given a price-demand function,  p(x) = −7x + 40,  where x is the number of items made and sold and…

A: Given query is to find the revenue function.

Q: limx→5 x²+2x-35 x-5

A: We need to find limx→5x2+2x-35x-5.

Q: Question 13 Choose the equation of the line with the given slope and y-intercept. 1 slope:…

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Q: 2² +2²³ +2²+1 dz dx x²+x-2 1+²+

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Q: Find the area of the region inside the circle r = 36 sin and outside the cardioid r= 12 + 12 sin 0.…

A: Concept: The area between the circle r1 and the cardioid r2 is A=12∫θ1θ2r12-r22dθ Here θ1 , θ2 are…

Q: A helicopter starting on the ground is rising directly into the air at a rate of 21 feet per second.…

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Q: Differentiate. y' = || Y = 7-tan(x) y X

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) =…

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Q: 2 16. xy = √√x² + y²

A: Given Equation:- xy=x2+y2

Q: Let 13 f(x) = ( − 9x² − 6)˚ (5x² +9) ¹3 f'(x) =

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Q: 2. Let a be a real number, and consider the function h: (-∞, a) U (a, ∞) → R defined by h(x) A. The…

A: The limit of a function f(x) at x=a exists if and only if the right hand limit and left hand limit…

Q: The Total Revenue is increasing when the demand is inelastic and the price is increased slightly.…

A: Given data÷ The Total Revenue is increasing when the demand is inelastic and the price is increased…

Q: Is it B or A.

A: Let's solve.

Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x(t) = t³ + 9t² −…

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Q: > Read over Example 4 carefully. Then show how you decompose the following rational expression into…

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