For the curve y = Inx, find the equation of a tangent line parallel to the line 3x-y = 5 *Note the answer is 3x-y = 1 + In3

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A: The position of the object can be modeled using the function ft=-16t2+48t+4, where t is the time in…

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A: Given the graph of a function

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A: Given data  Six jokes about books.

Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: Given expression:- x2-16

Q: 10 -5 10 -5 Ау -5 OK EL X 10

A: Let's find asymptotes and domains.

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A: ycos2a+ysin2a=cosa+372

Q: Find the equations of all lines having a slope -1 that are tangent to the curve y=1/x-4

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Q: A triangle has vertices (0, 0, 0), (1, 1, 1), and (0, −8, 9). Find its area.

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Q: Find the slope of the tangent line to the curve f(x) = x³ - 4x at the point where x = 0. A) 0 B) - 4…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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A: Topic- Equation of a parabola We are given a graph of a parabola with vertex at (-4,3) and passing…

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Q: (im (16*x+26) (7x²³+2) x-sá

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Q: Problem 2 There are two points on the graph of the equation y = 2x² +9x² - 60x+12 where the tangent…

A: Explained below

Q: fe-3t sin4tdt

A: ∫ e-3tsin4tdt

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: Let's find directional derivative.

Q: The variable interest rate on a student loan changes eachJuly 1 based on the bank prime loan rate.…

A: Given for the years 1992–2007, The rate can be approximated by the model r(x)=−0.115x2+1.183x+5.623…

Q: Rewrite the following quadratic function in vertex form. Provide your answer below: f(x)=0 f(x) =…

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Q: Solve by the method of your choice:Fifty people purchase raffle tickets. Three winning tickets are…

A: Given data, n=50 r=3

Q: 3) Suppose that f is a differentiable function with domain [0,5] and f' (3) = 0. True or False: This…

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Q: The data provided is that for the depth of water in Cokato Creek, as measured during a day-long…

A: Here we have the depth of water in Cokato Creek, as measured during a day-long ainstrom. D(t) is a…

Q: Enter your answer as an ordered pair. Provide your answer below: f(x) = 7x² - 12x - 8

A: The given function is  f(x)=x2-12x-8

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6√3 and whose components have…

A: Let vecter to be xi+yj+zk Then length of vector = √(x^2+y^2+z^2)=6√3

Q: determine whether the given function is linear or nonlinear. If it is linear, determine the equation…

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: What is critical point??

A: Critical point:- A continuous function's critical point f, is when the derivative is 0 or…

Q: X 6. What is the instantaneous rate of change at x = 2 of the function f given by f(x) = :-?? X-1

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Q: lim asin x→0 | cr x

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Q: find f + g, f - g, f # g, and fgfor each pair of functions. State the domain of each of these…

A: Given, fx=3x2+x+1gx=3x

Q: A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a…

A: Given data, n=40 r=8

Q: Consider the curve given by Find all points on the curve (x,y) where the tangent line is horizontal.…

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Q: Explain how to find a particular term in a binomial expansion without having to write out the entire…

A: Binomial expansion is to expand and write the terms which are equal to the natural number exponent…

Q: Select all of the following graphs which are one-to-one functions. 0 0 Ay 1-4 -3 A -2 -3 -5 -4 -3 -2…

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Q: a. b. C. S e. sin ²0 S de cos²0 S dx x(x²+1) d. 0 cos(20 + 1 S 9dv 81-v4 x3 x2–2x+1

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Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: answer=4(tan(θ))

Q: y-values 6 8 7 6 5 4 32 1 If f(x) = f'(1) = g(x) h(x) ' g(x) 2 3 x-values then 4 Out y-values S 4 3…

A: To find the derivative of f(x) at x=1.

Q: Find an equation of the line containing the points 11, 42and 13, 82.

A: Given data:- The given points, 11, 42 and 13, 82

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Determine how much time is requiredfor an investment to double in value if interest is earned at the…

A: Note:- FV = PV 1+Rnnt Here, FV denotes Future value, PV denotes present value, R denotes rate and t…

Q: Which one of the following could be the graph of the curve given parametrically by x(t) = sin(t +…

A: Here we have to draw the graph of given parametric equations. We have x(t)=sint+sin(t)…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A: Given lines are L1: x=2-t ,  y=3+5t, z=4+3tL2: x=4t, y=1-20t, z=4-12t

Q: The population of Silver Run in the year1890 was 6250. Assume the population increased at a rate…

A: Given: Initial population in 1890:  P0=6250 Growth rate: r=2.75%   (a) To estimate the population in…

Q: Consider the following differential equation: dy dx 1. Find the general solution. + y = x.

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Q: x=t+3 and y=²+2t Part: 0/2 Part 1 of 2 (a) Eliminate the parameter and write an equation in…

A: The parametric equations are x = t+3                         .........1y = t2+2t…

Q: Newton's law of cooling relates the rate at which a body cools to the difference in temperature…

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Q: xdx √x-2

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Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

Q: 11. For the following series, is it convergent? If yes, is it absolutely convergent? Σ+1 1 n=1 Α

A: See this solution in below.

Q: A consumer purchased a computer after a 20​% price reduction. If x represents the​ computer's…

A: A consumer purchased a computer after a 20​% price reduction. If x represents the​ computer's…

Q: Sorry forgot to specify, find the zeros

A: