(1) (4 points) Give a parametrization c: R R³ of the line through the points P = (1,0,-1) and Q = (-2, 0, 1).

Q: 6. Find the angle to the nearest degree between the two planes given by x-2y+2=0 and 2x+3y-22-0

A:

Q: Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel…

A: The question is asking about the shape that is formed when a double cone is sliced through the apex…

Q: A sequence is given by the formula an = n 2n2 +1 . Show the sequence is monotone decreasing for n 1.…

A:

Q: • • Let > be a potential for the vector field F = (−2 y³, −6 xy² − 4 z³, −12 yz² + 4 2). Then the…

A:

Q: Which option below describes the tangent line to the curve r (t) = (cos(t), 3et, 3e¯ Select one: ○…

A:

Q: find a simple formula fot the nth term of the following sequences 1,3,7,15,31,63,. . .

A: First, we need to identify the pattern in the sequence. By observing the sequence, we can see that…

Q: Simpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper…

A: Step 1: Define the function and its derivativesThe function we're integrating is f(x)=x​=x1/2.The…

Q: π 25. If lies in the interval <0</ and Sinh x = tan 0. Show that: 2 Cosh x= Sec 0, tanh x =Sin 0,…

A: Using the definition of hyperbolic functions, we can show that coshx=secθ, tanhx=sinθ, cothx=cscθ,…

Q: 52 Question 5 If csc(x) = 3, for 90° < x < 180°, then sin(x/2) = = cos(x/2) = tan(1/2) = Upload…

A:

Q: please evaluate both of the given integrals and state the technique used for integrals like this…

A: 1.∫−∞∞​4x2+4x+5dx​ Step 1: Simplify the denominator The denominator is 4x^2 + 4x + 5. Start by…

Q: Attempt 6: 1 out of 2 parts have been answered correctly. Calculate the Taylor polynomials T2(x) and…

A: To calculate the Taylor polynomials  T2​(x)  and  T3​(x)  centered at  x=7  for  f(x) = ln(x+1) , we…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A:

Q: 2. Please solve this for me and show every single step. I am studying  and got stuck on this…

A: First, we need to identify a function and its derivative within the integral. In this case, we can…

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. ΣΟ ³W° n…

A:

Q: 5. Please solve this for me and show every single step. I am studying  and got stuck on this…

A: To find the area between two curves, we first need to find the points where the curves intersect.…

Q: A tank contains 60 kg of salt and 2000 L of water. Pure water enters a tank at the rate 8 L/min. The…

A:

Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: Step 1:Step 2: Step 3: Step 4:

Q: Total marks 15 པ་ (i) Sketch the trace of the following curve on R2, (t) = (t2 cos(t), t² sin(t)), t…

A: 5(i)(ii)L≈107.68(iii)

Q: Solve the initial value problem: y= 0.05y + 5 y(0) = 100 y(t) =

A: We are solving the initial value problem: dtdy​=0.05y+5,y(0)=100.  This is a first-order linear…

Q: 1 0 4 2 -2 Q1: If A=0 -6 -5 2 7 2 -1 2 0 3 -1 2 and D = 1 2 0 0 -15 6 2 0 4 1 12 Find (for two…

A:

Q: Use of Science Use of Engineering Use of Mathematics the (first moment about y-axis and center of…

A: 1. Fluid Flow AnalysisBroader applications of multiple integrations in fluid dynamics involve…

Q: Please help me with this. I am having trouble understanding what to do. Thank you

A:

Q: The answer is 6 mo: 6%. Help breakdown step by step how to get this answer.

A: To determine when the selenium is reduced to a minimum and the minimum percent, we follow these…

Q: #19

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Evaluate the following limits: g) lim(√n² +1-n) 11-00

A:

Q: == 1. A separable differential equation can be written in the form hy) = g(a) where h(y) is a…

A: For (a) y' = -1/3, we can rewrite it as dy/dx = -1/3. This is already in the form h(y) = g(x) where…

Q: 2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below.

A: Step 1:Step 2: Step 3: Step 4:

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Ans 1(a):Ans 1(b):Ans 1(c):

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: Step 1:

Q: Two stoves are located 43 feet apart, one giving out 4 times as much heat as the other. If you stand…

A:

Q: Please help on all questions asked. Please show all work and steps. Please circle the final answer.

A:

Q: #17

A:

Q: : +00 For the volume of the region in the first octant shown in the adjacent Figure. It is bounded…

A: Step 1:Step 2:

Q: Let C be the intersection of the cylinder x² + y² = 2.95 with the plane z = 1.13x, with the…

A:

Q: #1,#11

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: By using Laplace transforms, solve the following differential equation subjectto the given initial…

A: Used Laplace Transformation:

Q: Please sketch questions 1, 2 and 6

A:

Q: Question 3 (5pt): A chemical reaction. In an elementary chemical reaction, single molecules of two…

A: (a)  Rewrite the differential equation  (E)  with separated variables The given equation…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Step 1: Step 2: Step 3: Step 4:

Q: Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]

A:

Q: With the first image attached, how can i answer question 5 ? thank you so much

A:

Q: The purpose of this problem is to solve the following PDE using a numerical simulation. { af (t, x)…

A:

Q: Please help me with these questions. I am having trouble understanding what to do. Thank you

A: Step 1:    Step 2: Step 3: Step 4:

Q: 1. Sketch the following piecewise function on the graph. (5 points) x<-1 3 x² -1≤ x ≤2 f(x) = = 1 ४…

A: For x &lt; -1: f(x) = 3 ( horizontal line at y = 3 ) • We can draw a straight line (ray)  through…

Q: #35

A: 29. Points: (-4, -2) and (-2, 1)Find the slope (m): m = (y2 - y1) / (x2 - x1)  m = (1 - (-2)) / (-2…

Q: Pls help me asap pls pls

A: The derivative of f(t) is f′(t)=2−1​(t3+8t2)8−9​(3t2+16t)Third option is correct.

Q: Please help me with these questions. I am having trouble understanding what to do. I keep getting…

A: Part (a):

Q: 1. Evaluate the integral f(x, y)dxdy, of function f R² →R over the domain DC R2, where: f(x, y) = 2x…

A: ∬D​f(x,y)dxdywhere  f(x, y) = 2x + y , and D is the triangular region with vertices at  (0, -1) ,…

Q: 1. Consider the sequence, an = In n³ In Sn²* a. Find the limit of the sequence or show that it…

A: Step 1 : 1 a. Find the limit of the sequence  Given that,                   an​=ln5n2lnn3​…

Q: Consider the following vector field F(x, y) and closed curve C shown below. УА 个 ☑ C X

A: Question 1Question 2