Question Find parametric equations of the line tangent to the curve r(t) = (√t — 5, ln (t + 3), −8t¹) at t = 7. Round ea component to three decimal places if necessary. Provide your answer below:

Q: g(x)= 3√√3x-2

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Q: 4. Two persons travel by car to separate cities in the same amount of time. The first person travels…

A: Distance=Speed ×Time  then   Time=DistanceSpeed

Q: "Proof 7: Suppose that a and b are both even. Then there exist integers k₁, k₂ such that a = 2k₁ and…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: In Exercises 17 -28, determine whether the sequence con- verges or diverges. If convergent, give the…

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Q: 5-10 Sketch the graph of an example of a function that satistics all of the given conditions. 5. (2)…

A: Given that f2=4,f-2=-4 Therefore first mark the points (2,4) and (-2,-4) on the graph.

Q: The acceleration of a vehicle can be expressed as: du = 36 - 0.064 If the vehicle speed, u, is 45…

A: Here is the solution

Q: Solve the given differential equation (4x +y-1) dx + (x-y-4) dy = 0 O (x + 1)² - 4(x + 1)(y-5) -2(y-…

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Q: lim_g(y) where, g (y) = y-2, lim g (y) y² +5 ify -7 = -| નવ DNE y² +5 1-3y lim y+-2, if y < if y2-2…

A: The given functions, 1) gy=y2+5if y&lt;-23-3yif y≥-2 2) gy=y2+5if y&lt;-21-3yif y≥-2

Q: Evaluate: * 1 2 گھر z² dz z²+3z +2 -блі 3лi inside the circle |z| = 4 4 3 -6 πὶ

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Q: Eliminate the arbitrary constants Y = C₁ e²x + C₂ C³x са

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Q: Find the average value of the function ?(?) = (? − 3) 3 on the interval [2,5]. Then find the value…

A: See the details solution in below

Q: Evaluate the multiple integr 2 ГГ. 24x²yz3d -1 -4 1

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Q: 84. The Copy Shoppe charges $0.08 per copy for quantities up to and including 100 copies. For…

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Q: Find the equation of the plane through the point P=(3,5,5)P=(3,5,5) and parallel to the plane…

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Q: For what value of k will the function f be continuous on (-∞, ∞)? x² 2 f(x) = = x + 3 k if x # -3 if…

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Q: 15-42 Find the limit or show that it does not exist.

A: Given that,

Q: Find the equation of the plane through the point P=(3,5,5)P=(3,5,5) and parallel to the plane…

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Q: An implicit equation for the plane passing through the points (−2,−1,3)(−2,−1,3), (−6,0,5)(−6,0,5),…

A: We have to find out the equation of plane passes through three given points. I have appended the…

Q: √3x +79-8 lim x-5 x² + 2x - 15 =

A: We will find the required limit.

Q: Given the equation 5πT 3 y = 2 sin (5 X The amplitude is: The period is: 20T 3 The horizontal shift…

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Q: 66. The Rule of 70 A well-known rule in the world of finance is that an annual interest rate of R%…

A: (a) The equation to be solved is P·ert=2P, which can be done as follows: ⇒ert=2 [Canceling P from…

Q: How do we know to use the given value of t as t=pi which was used to get r'=(-2,1,0)? Not sure where…

A: The value of t can be got by equating (0,π,-2) and (2sint,t,2cost)

Q: Use Hooke's Law to determine the variable force in the spring problem. A force of 250 newtons…

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Q: g(x) is a transformation of f(x) = √√. The graph of g(x) is shown below. +10+ 9 81 7 6 5 4 3 2 -1 7…

A: Given graph:-

Q: Problem 2.4: Find the G.S. of the 2nd-order DE Hint: You may like a substitution u = xy" + 3y' = 7x6…

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Q: Given the function f(x) = 3x + 2x² a. Simplify f(-x) f(-x) = b. Determine whether the function is…

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Q: In Exercises 1-16, find the maximum and minimum values of th given function and the points at which…

A: Question 1: Given, fx,y=x2+y20≤x≤2,0≤y≤2 Note: On differentiating partially with respect to one…

Q: What is the Domain and Range f(x) = 1/√x³+8

A: Here we have to find out the domain and range of the given function.

Q: EXAMPLE 9 Sketching the graph of an exponential function Determine where the function f(x) = 1 √2π…

A: Given function : f(x)=12πe-x22

Q: If f(x) = sinx, then lim (A) B C (D -2πT -1 1 f(2π)-f(x) = x 2π x-2п 2πT

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Q: A company has 7 applicants, three women and four men. Suppose that the 7 applicants are equally…

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Q: Consider the planes −x − 2y − 3z = −4 and x + 2y + 3z = 12. (a) Explain why these planes are…

A: This question can be solved using the concept of planes in three dinesional geometry

Q: In Exercises 29 - 34, determine whether the sequence is bounded, bounded above, bounded below, or…

A: Determine whether the given sequence is bounded, bounded above or bounded below {an}={sin n}

Q: Is the function given by f(x) = . 4x+5, for x ≤4, 3x-3, for x>4, Choose the correct answer below.…

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Q: The y' for 4xy = x

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Q: Find the stationary points of the function y = x¹ - x³ +1. = • Use a sign diagram to classify each…

A: The given function is y=x4-x3+1. Differentiate with respect to x, to get dydx=4x3-3x2 The stationary…

Q: DIFFERENTIAL EQUATION  UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS IN THE SAME FORMAT GIVEN…

A: Let's solve given differential equation  order,type and linearity also verify the solution.

Q: Form a polynomial whose zeros and degree are given. Zeros:7,multiplicity 1; 3,multiplicity 2;…

A: Given: zero 7 with given multiplicity =1 zero 3 with given multiplicity = 2

Q: Sketch a graph of the function f(x) = 2 sin Clear All Draw: M 6+ 5 4 3 2 1 -9 -8 -7 -6 -5 -4 -3 -2…

A: To graph the function.

Q: eliminating of arbitrary constant cy^2 = x^2+y

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

A: Given

Q: 3, Determine the region of the w - plane into which the region bounded by the lines x = 1, y = 1, x…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) = 3(7x3)4 y =…

A: Solution

Q: An entrance to a castle is in the form of a parabolic arch 8 meters across at the base and 4 meters…

A: An entrance to a castle is in the form of a parabolic arch 8 meters across at the base and 4…

Q: Mensuration of 2D shapes: Shape Right Angle Triangle Rhombus Parallelogram Trapezium Area (Square…

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Q: Q.1.A: Find the domain and range of each function (choose only two) G(t) = 746

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Q: Evaluate Answer: [*cos'a dit.

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Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

A: We have to evaluate  log7 a2b497.

Q: y + 3y = 2xe-3x y-2xy = et²

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Q: 10. Graph the the parent f(x) = e. Then use the graph of f(x) and translation to graph g(x) = e-1.…

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