Find the unit tangent vector T(t). r(t) = 1²₁ + tj + 201 k, T(5) = P(25, 5, 20/3) Find a set of parametric equations for the line tangent to the space curve at point P. (Enter your answers as a comma-separated list. Use t for the variable of parameterization.) eBook

Q: 4. A series RLC circuit has a hypothetical current that is described by the expression, I(t) = 6e-t…

A:

Q: In 1954, the Tenth General conference and Measures adopted the Unit on Kelvin [K] the basic for…

A: We have to find the function that relates Kelvin and Fahrenheit.

Q: (c) Find the volume of the solid whose base is the region in the [xz-plane that is bounded by the…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x 3y + z = 6 x + 4y + 8z = 1 O…

A:

Q: The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in…

A: Solution of the problem as follows

Q: Integrate: S dx sin ³x cos6x

A:

Q: Consider the following. Function y = 5e¹-x² (a) Find an equation of the tangent line to the graph of…

A: The equation of the tangent to the graph of the function y = f(x) at (x 0 , y 0) is given by    y -…

Q: D Solve the initial value problem. dy dx -=xcos (6x²), y(0)= 7 x² OA. Y=2 y= B. Y= 1 12 1 sin…

A:

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

A:

Q: Find the general solution of the given second-order differential equation. y" - y' - 12y = 0 y(x) =

A: Given differential equationy''-y'-12y=0

Q: Evaluate 2 ²4x² 0 Answer: 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your…

A:

Q: 5) Consider the vector function r = (9 — 2t, 4 + 2t, √√2t²) a. Find the length of the path on 0≤t≤1.…

A: Given,

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 5(x - 1)² +…

A:

Q: For the triangle below, find the indicated trigonometric ratio exactly. csc 0 2 29 5 2

A:

Q: 31. TT/2 alo csc t cot t dt 32. TT/3 [/csc²0 de

A:

Q: 6. What is the equation for the slope of the ellipse+= 1 at (x₁, yi)? A. B. C. D. E. y' = y' = b²y₁…

A: We have to find the equation of the slope of ellipse at the point (x1,y1).

Q: Using geometry only, find the area under the curve. Include a sketch of graph for each region. Give…

A:

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then L-¹{F(s)G(s)} = f(t)g(t). O True O…

A:

Q: To prove that: n²= 5k or 5k+1 or 5k+4 we use the following method: Division into cases. We need 3…

A:

Q: Use the second derivative to determine the intervals over which the graph of the given function is…

A: The given function is fx=x13

Q: A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there…

A:

Q: 1. Determine the intersection points (in polar CO- ordinates) of 62 and 63.

A:

Q: uppose Jesse deposits $500 every month for 30 years into an IRA earning ompounded monthly. What…

A: Topic:- algebra

Q: You invest $10,000 in Rapid Growth Funds, which appreciate by 3% per year, with yields reinvested…

A:

Q: The linear approximation at and where B is: = = 0 to sin(9x) is A + Bx where A is:

A:

Q: *¨^(-1)]. Find the exact value of cos 2 cos cos [2 cos ¹(-2)]=0 (Simplify your answer, including any…

A: Given :cos2cos-1-12

Q: Link has to travel to Hyrule castle. Link is currently in the Gerudo desert. The desert sand…

A:

Q: Determine the dimensions of Nul A, Col A, and Row A for the given matrix. A= 120 467 010-324 The…

A: Determine the dimensions of Nul A, Col A, and Row A for the given matrix.

Q: (x² + y2) dx + xy dy = 0.

A: Given, x2+y2dx+xy dy=0

Q: 3. Let R be the region between the functions y 2² and y = 8 - 2². Set up the iterated double…

A:

Q: How can the following problem be solved? The number of bacteria in a culture is increasing according…

A:

Q: Find two numbers a and b with a ≤ b such that has its largest value. (10 + 3x - x²) ¹/3 dx

A: Solution of given question is written in below steps.

Q: 1. √(1-x dx X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6) Find the equation of the osculating plane of the helix x = sin 3t, y = 2t, at the point (-1,л,0).…

A: Given :x=sin3ty=2tz=cos3tpoint -1, π, 0

Q: n list Reference f(t) = £ 1 t-1 (n-1)! e-at K cos at 1- e-at sin at (F) 1- cos at Find the transform…

A:

Q: 1. 4. [ + 4 (2x +4x-3)x dx 3-2x

A:

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A:

Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A:

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A: Find the equation of motion. Here y(t)=x(t)

Q: 2. (D² + D-2)y=e-2x + 3e²x

A:

Q: Simplify the equation then solve for the first derivative. 1 -1 11 = √√4c² – (0.4 – 0.2)² + ({(0.4)…

A:

Q: Answer true or false. If f is not piecewise continuous on [0, ∞>), then L{f(t)} will not exist. O…

A:

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: The objective of the question is determine the particular solution of the given differential…

Q: Find the 9 9th roots of 12-13i

A: 12-13i = re-iθr=122+132=313θ=tan-11312=-47.28

Q: 41. Find S₁-S₂ given that S₁-₁7/2 $₂= [²2, 2 A. B. C. D. E. Diverges

A:

Q: Please explain how to find the fifteenth derivative of f(x)=2x^15-3^x, f^15(x

A: Topic - Derivative of a function

Q: Consider the function f(x) and its derivatives:

A:

Q: Find the area of the parallelogram with vertices  P(3, 3, 3), Q(5, 5, 4), R(10, 9, 13), and S(8, 7,…

A:

Q: 5. (True/False) If f(x, y, z) = 1, then ffy f(x, y, z)dV gives the volume of V.

A: Since you have posted multiple questions, As per the policy, I can answer the only  first question…

Q: 35. Find the exact value of the expression. (3)] Select the correct choice and fill in any answer…

A: We can answer the question as below.