y f(x) = 10x log 3 1 X

Q: PE Complete the parametric equations of the line through the point (-1,-6,7) and parallel to the…

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Q: 28. (A) (B) lim, g(x) (D) g(−2) _lim_g(x) (C) lim g(x) (E) Is g continuous at x = -2? Explain.

A: Topic - Limits of a function

Q: A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The…

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Q: Find possible choices for outer and inner functions f and g such that the given function h equals fo…

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Q: (x+2y-1) dx - (2x + y-5) dy = 0

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Q: Complete the parametric equations for the line where the planes 2x + z = - 3 and 2x3z = 9 intersect.…

A: Given equation of plane is 2x+z=-3 and -2x-3z=9

Q: 3 Find the equation of a plane that passes has normal vector through (-1,4, 1) and that is Parallel…

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Q: Consider the planes 1x + 2y + 5z = 1 and 1x + 5z = 0. A) Find the unique point P on the y-axis which…

A: Please see the below picture for detailed solution.

Q: Problem #7: Find an equation for f(x) given that 1 + 6 sin x f'(x) cos²x Problem #7: and f(0) = 8.…

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Q: Decide if the statement is true or false. If the function y = g(x) is strictly decreasing, then y =…

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Q: Find the length of the curve. x=4cost+4tsint​, y=4sint - 4tcost​, 0 ≤ t ≤ ½ π

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Q: company with 20 workers can mass-produce surgical masks in 3 days. However, due to the pandemic,…

A: I have appended the formula used in the solution part of the question

Q: Make a sign diagram for the derivative of the function. f(x) = x² + 4x3 - 8x² + 60 f'(x) ? 0…

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Q: Jse the special factoring methods to factor the following binomial. If it cannot be factored,…

A: we need to factor the given polynomial

Q: Solve for the particular solution: (D² - 2D + 6)y = 4e-2x

A: Given :D2-2D+6y=4e-2x

Q: decreasing by 24 billion barrels of oil each year, answer the following: Give a linear equation for…

A: We will find the required.

Q: Make a sign diagram for the derivative of the function. f(x) = x² + 4x³8x² + 52 f'(x) ? 0 f'(x) ?0 X…

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P 2…

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Q: You are in charge of the evacuation and repair of the storage tank shown here. The tank is a…

A: We need to check if we can hire the firm.

Q: Find the general solution of the differential equation. Then, use the initial condition to find the…

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Q: Let v = 17 + 37 and w = 17 + 9j. 3j Find an exact number c so that w cv is perpendicular to v. C =

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Q: A physical education teacher in a high school has made up a schedule for the 24 intramural teams in…

A: Total teams = 24 Total division = 4 Each division has = 6 teams Therefore,  Total number of games =…

Q: 54. Let f(x) = ={₁ (A) lim+f(x) (C) lim f(x) x--2 x + 3 √x+2 if x -2 (B)_lim_ƒ(x) (D) f(-2) Find

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Q: Solve for the general solution: 6 D^3 - 13 D^2 + 6 D = 0. O y = cle^x + c2e^(2/3 x) + c3 e^(3/2 x) O…

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Q: Simplify the expression and eliminate any negative exponent(s). -1 6a8 62

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Q: 1. (xy+x) dx = (x²y² + x² + y² +1)dy

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Q: Let y = log3 (5t + 27) - 4. (a) Find the vertical intercept. Express your answer as a point. (b)…

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Q: 1) Identify the x-values at which f(x) is a) not continuous b) not differentiable c) continuous but…

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Q: Solve for the particular solution: (D2 + 1)y= 10 sin(x) Oyp = -2x sin(x) O yp = -5x sin(x) Oyp = -5x…

A: Topic = Differential equation

Q: (B) T 15 15 (21) The area of the region between the graph of y = x² and y = √x is: (A) - (B) 3 (C) 1…

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Q: Solve for the general solution: (D2 - 5D + 6)(D2 - 5D + 6)y = 0. Oy (c1 e^(2x) + c2 e^(3x))^2 Oy=c1…

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Q: Find angle BAC if A = (0, 3, 1), B = (4, 5, 4), and C = (1, 3, 4). Your answer should be in degrees.

A: To find the angle BAC if A=0, 3, 1, B=4, 5, 4, and C=1, 3, 4.

Q: -5 -4 -3 (22 27 24 21 18 15 12 The net signed area in the above graph can be written as d where c =…

A: From the given graph we have to find the integral expression for the given shaded region.

Q: Find the 2nd degree Taylor polynomial at of each function. 1 P₂(x) = 1 x 1 P₂(x) = [ 1 + x…

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Q: Complete the parametric equations of the line through the points (6,-4,-8) and (-5,-1,-6) x(t) = 6 -…

A: I have appointed the formula used in the solution part of the question

Q: Replace the polar equation r2=36 with an equivalent Cartesian equation. Then identify the graph. An…

A: To replace the polar equation r2=36 with an equivalent Cartesian equation.  Then to identify the…

Q: You have been asked to cut 5 boards (exactly the same length after the cut) and place them end to…

A: Topic = Functions

Q: Can you clarify what formula this is? (V=C1+rt)

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.​…

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Q: If a company has total costs C(x) = 18,000 + 35x + 0.2x2 and total revenues given by R(x) =…

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Q: Find the area enclosed by the given ellipse. x=acost​, y=bsint​, 0≤t≤2π ​(Type an expression using…

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Q: Integrate: e18x - dx 1+e6x 1

A: The given integral is e18x/(1+e6x).

Q: tan(+h)-1 =: (A)1 (B) 0 (C) = h (20) The volume of the solid generated by revolving the region…

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Q: Consider the function f(x) = 2x³ + 9x² - 60x + 7, -6 ≤ x ≤ 3. -6 -5 -4 -3 274.4 205.8 137.2 68.6 1…

A: Consider the function fx=2x3+9x2-60x+7, -6≤x≤3To determine the absolute minimum value and absolute…

Q: Solve for y: x³ + ¹y = xy + 7.

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Q: 25) lim f(x)= 26) lim f(x) 27) lim f(x) = 28) f(-6)=

A: Graph of the function fx is given, we have to find the given limits and function value at x=-6.

Q: Scaling laws apply not just to organisms but also to entire ecosystems. (Figure 1) shows the number…

A: Scaling laws describe the functional relationship between two physical quantities that scale with…

Q: Lecom Hint: Use substitution with u = cos z ₂cos z sin zdz =

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Q: 4. Describe how you would use the second derivative to determine a local minimum or maximum.

A: Second derivative to determine a local minimum or maximum.

Q: Find an equation of the line that (a) has the same y-intercept as the line y 8x 100 and (b) is…

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