State the domain for the function f(x) = log3(x) - 1: O (-00, 0) O (-∞0,00) O (-∞, -1) O (0,00)

Q: a) Find a vector equation of the line through the point (1,5,8) that is perpendicular to the plane…

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Q: a. f(x) = F ť² — b. f(x) = = 1 X-1

A: Given that function:  f(x) = 1/x2 - 1 and f(x) = 1/(x-1).Determine the flat asymptote of this given…

Q: A space shuttle program involved 135 manned space flights in 30 yr. In addition to supplying and…

A: We have to Determine the angular speed of the shuttle.

Q: Find a general function for an arithmetic sequence with a6=2 and a12= -16

A: To find a general function for an arithmetic sequence with  and .

Q: √x + 4 In(9-x) Determine where f(x) is continuous, algebraically. (Enter your answer using interval…

A: We have,  f(x) = √(x+4) /ln(9-x)

Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z) = 7x-7y-2z,…

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Q: 11. a) By solving some equations with some unknowns, determine whether it is possible to write [5,…

A: To determine whether it is possible to write the vector [5, -10, 1] as a linear combination of [4,…

Q: Let cos a with 0 < a < Find the exact value of tan(a + B). and sin 8 = - with <3 <³

A: Let  with  and  with .To find the exact value of .

Q: 6. Convert from cylindrical to rectangular coordinates (a) (4, π/6, 3) (b) (8, 3π/4, -2) (c) (5, 0,…

A: Solving the problem

Q: Express the area of the region bounded by the given lines as an iterated double integr The lines x =…

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Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. ܘ →NW+ 2₁…

A: The area under a curve y= f(x) from x=a to x= b is given by

Q: The sales of a small company were $25,000 in its second year of operation and $55,000 in its fifth…

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Q: 2. Determine the derivative of the function f(x) = 2e* cos³ x. Leave answers in simplified factored…

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Q: Find S10 for the arithmetic sequence 13,15,17,19,21,23,….

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Q: J 4 x¹ ln(x) dx

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Q: d'y dx² when x = 2 and y = 4. If 4x² + y² = 32 then evaluate (Answer accurate to two decimal…

A: Given:We are required to find:

Q: tegration by Parts titution or Inte- -Parts for- SOCA 2012 3. Why is u = cos x, du = x d. Ixcos 15.…

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Q: 6. Explain in words how a student would determine the magnitude of the vector P[2, 3, 1]. There is…

A: To determine the magnitude of a vector P[2, 3, 1], a student would follow a simple set of steps. 1.…

Q: √y Change the order of the integration f(x,y)dxdy О У 2

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Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit is $10…

A: (a) The statement "P(3000) = 60000" means that when 3000 units of the commodity are sold, the…

Q: 5.2(5) PLEASE SHOW YOUR WORK STEP BY STEP!! With the function (shown in the image) Determines the…

A: This is question of calculusHere we have to find differentiation of function .Further calculation is…

Q: let y=5 log (x+1) find y'

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Q: (2) True or False: a) Local extrema can only occur at critical numbers.__ b) Everywhere there is an…

A: As per bartleby guidelines only one question is allowed to solve with maximum 3 sub parts , so here…

Q: (b) Describe the relationship between each set of planes, and solve the system if possible: (vii)…

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Q: 1) For the given p-series, identify p and determine Whether the series converges. [ K = 1 1 3√73

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Q: Find an equation for and sketch the graph of the level curve of the function f(x,y) that passes…

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Q: given the differential equation (cos x + 2xcos²y) dx + (6y2 - x²sin 2y) dy

A: The given differential equation is:

Q: Evaluate the limit exactly. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the…

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Q: State the range for the function: ƒ(x)=-log₁(x−1)+2 O (-00,00) O (-∞, -1) O (0,00) O (-00,0) 82°F…

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Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

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Q: (1-x)y' + xy = x(x - 1)²

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Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If doesn't…

A: This is question of calculusHere graph of function is given we have to find limit of given function…

Q: 8 Σ 41 k=1 1/K

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Q: Confirm that the integral test is applicable and use it to determine whether the series converge Σ₁…

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Q: 2. Find the angle between the pair of planes. I 1:x+2y+3z +1=0, 2:3x +2y+z+2=0

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Q: 79. For which values of P n² n=1(n³+1)P does Σ converge?

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Q: Given the function f(x,y) = 4y-6x, answer the following questions. a. Find the function's domain. b.…

A: Given,f(x, y) = 4y - 6x(d)We have to tell the boundary of the function domain

Q: Determine the area of the region bounded by the graphs of x = y², x = y³, y = 2.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If val…

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Q: Given the function below, evaluate and simplify f(a + b). 2x x² + x (A) / (B) a a+b f(x) = (C) 2…

A: The objective of the question is determine the function f(a+b).

Q: and Continuity Worksheet o determine whether the function is continuous at the point. x² + 2x - 3…

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Q: dy Solve the given differential equation by using an appropriate substitution. The DE is of the form…

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Q: A school's Phys Ed department is selling activewear to raise money for new equipment. They are…

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Q: following problem. Find only an appropriate Green's function for the y"(x) + w²y(x) = f(x), 0 ≤ x ≤…

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Q: Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function. 3 X-8…

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Q: 6. Given D(4, 0, 9), E(3, 7, -8), and F(-2, -5, 5), determine a) DF b) DE+EF (exact value)

A: Here we have given coordinates of points .Note 1:The coordinates of the two points in order to write…

Q: Determine whether the series 8 n=0 3 19 O D. OB. The series diverges because lim n→∞ n converges or…

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Q: In Exercises 17-22, use the nth Term Divergence Test (Theorem 4) to prove that the following series…

A: The given series is:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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