Let [1,2] R2 be the curve defined by y(t) = (t, 3(t − 1)²) for t = [1,2], and let f R2 R be defined by : (x-1)² - y f(x, y) = 1 +12|y| Then the integral y fds equals (A) 2/13 (B) -2/3 (C) 0 (D) -2
Q: Do the Laplace Transformation for this equation in Partial Fractions.
A: Here's a detailed solution of the given differential equation using the Laplace Transform…
Q: dw z = Find using direct dt If w = + x = (cost), y = (sint), z= substitution and chain rule methods.
A: We are given the following functions:w=x+ywherex=cos(t)andy=sin(t)The derivatives of these functions…
Q: 21. Determine for which values of m the function (x) = x™ is a solution to the given equation. a.…
A: Note why x=0 : because when x=0, and m=-3, x−3 is undefined. So in general this is valid for…
Q: what is the f(x) when the lim reached to: 5^- 5^+ 5 9 and when f(9) ?
A: AnswerStep 2
Q: 8:37 ▬▬▬▬▬▬▬▬▬ Ο Graph of f The figure shows the graph of a periodic function f in the xy-plane.…
A: To determine the frequency of a periodic frunction from a graph, follow the steps below: Step 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: Question 4 The plot below represents the function f(x) 8 7 3 pts O -4-3-2-1 6 5 4 3 2 + 1 2 3 5 -2+…
A: Step 1:Step 2: Step 3: Step 4:
Q: Find the given derivative. Dx 7x 1 6 2 이에
A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.
Q: xux +yuy =2xy,withu =2 on y = x2
A:
Q: For number 4 the answer is B Could you explain why
A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.
Q: Show that sinh(A+B) = SinhA. cosh B + Cosh A. sinh B Find y if y = x++ Solve; -e* dx exxex Solve:…
A: 1. Show that: sinh(A+B) = sinhA coshB + coshA sinhBProof:We can use the exponential definitions of…
Q: Pls help me with step by step solution
A: If you have any help please let me know in comment box thankyou.
Q: Find the flux F(x, y, z) = xi + 2yj +4zk, S is the cube with vertices (1, 1, 1), (-1, -1, -1)
A: This question can be solved using Gauss divergence Theorem, which states…
Q: For the volume of the region in the first octant shown in the adjacent Figure. It is bounded by the…
A: For the iterated integral in the order dz dx dy, the limits of integration are determined by the…
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: Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account…
A: First, let's identify the variables and constants in the problem:y(t) is the retirement account…
Q: Which of the functions shown below is differentiable at z = 2? Select the correct answer below: о…
A: The third graph (straight -line function) is differentiable at x =2 because it is a smooth…
Q: The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up…
A: To find the Fourier series of the given 4-periodic function f(x), we need to:Define the piecewise…
Q: Find the limit lim X-700 4 13x-15 3x4+x³-12
A: We find the limit of the given function:limx→∞3x4+x3−1213x4−15 Step 1: Identify the highest power…
Q: Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They…
A: Let's solve the problem step by step: Given Data:Force from the truck: F1 = 377 lb (along the…
Q: • • Let > be a potential for the vector field F = (−2 y³, −6 xy² − 4 z³, −12 yz² + 4 2). Then the…
A:
Q: Please can you give detailed steps on how the solutions change from complex form to real form.…
A: Step 1: Analyze the given Euler equationThe general form of the Euler equation is:…
Q: Use undetermined coefficients to find the particular solution to y"-2y-4y=3t+6 Yp(t) =
A: To find the particular solution yp(t) using the method of undetermined coefficients, follow these…
Q: Determine the intervals on which the following function is continuous. f(x) = x - 5x + 6 2 X-9 On…
A: The given function is:f(x)=x2−9x2−5x+6 Find the values where the denominator is…
Q: Find all solutions for v when v5 - 3q = 0.
A: We have given equation, v5−3q=0 To find all solutions for v, we need to solve the equation for v.…
Q: #1, #9
A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.
Q: Sketch a graph of f(x) = 2(x − 2)² − 3 4 3 2 1 5 ས་ -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5+ Clear All…
A: Key references:https://youtu.be/TxPDQfWeAUg?si=auU0w_nfOyr6mRyU
Q: MATH 122 WORKSHEET 3 February 5, 2025 . Solve the following problems on a separate sheet. Justify…
A:
Q: Free Response Question-1 Calculator NOT Allowed 2 D 2 E F 4 Graph off G t -S g(x) <-4 -2 2 G 1 4 8 2…
A: May this answer helpful to you.
Q: chool Which of the following functions describes the graph of g(x)--2√9-x²+37 9 8 7 6 4 2…
A: The given function g(x) = -2√(9-x²) + 37 is a transformation of the basic square root function √x.…
Q: answer
A: From the given graph, When we see graph from left to right at x=-2 function is approaching -5 so,…
Q: Total marks 15 Total marks on paper: 80 6. Let DCR2 be a bounded domain with the boundary ǝD which…
A: Approach to solving the question: Detailed explanation:Green's Theorem:For a region D with a…
Q: Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]
A:
Q: Sketch a possible graph of a function f, together with vertical asymptotes, that satisfies all of…
A: Step 1: Step 2: Step 3: Step 4:
Q: pleasd dont use chat gpt
A:
Q: Good Day, Kindly assist me with the following query. Any assistance would be appreciated.
A: Solution to Question 1ai. "If I do not complete my homework or submit it late, then my teacher will…
Q: 5 4 3 21 N -5-4-3-2 -1 -2 -3 -4 1 2 3 4 5 -5+ Write an equation for the function graphed above y =
A: — EXPLANATION —
Q: Sketch the graph of a function that satisfies all of the given conditions. f '(5) = 0, f…
A:
Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 4 4 +…
A: The given function is:y=4x4+8x21 The formula for finding the arc length of a curve in rectangular…
Q: 5 Use the method of disks to find the volume of the solid that is obtained when the region under the…
A: Given: We are given the function: y=x5 over the interval [4, 17]. The region under this curve…
Q: 15. Please solve this and show each and every step please. PLEASE no chatgpt can I have a real…
A: The given function is F(r, s, t) = ln(r+t) * (r+s+t). This is a multivariable function, which means…
Q: Q1: (8+17 Marks) (a) If A-[ a ] is a 3x3 matrix; such that a = i (4-2), find the values of diagonal…
A:
Q: Find the value of the following indefinite integral: (see image)
A: By completing the square on 4b2y2−24aby+27a2 we have=(2b)2y2−2(6a)(2b)y+27a2By comparing with the…
Q: Let h(x, y, z) = — In (x) — z y7-4z - y4 + 3x²z — e²xy ln(z) + 10y²z. (a) Holding all other…
A: Given function: h(x,y,z)=y7−4xln(x)−z+y43x2z−e2xyln(z)+10y2z We need to compute the partial…
Q: 10. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.506.XP. Evaluate the integral. √xy dy Need Help?…
A:
Q: The position of a particle that moves along the x-axis is defined by x = - 3t^2 + 12^t - 6 f, where…
A:
Q: #25
A: 25. Graphically, a function is not differentiable at:Sharp Corners/Cusps (abrupt changes in…
Q: 7. Let F(x1, x2) (F₁(x1, x2), F2(x1, x2)), where = X2 F1(x1, x2) X1 F2(x1, x2) x+x (i) Using the…
A: Solution: (i) Calculate the line integral ∫γF⋅dγ The given vector field is:…
Q: Q.2 Q.4 Determine ffx dA where R is upper half of the circle shown below. x²+y2=1 (1,0)
A: To evaluate the integral ∬RxdA over the region R, which is the upper half of the circle defined…
Q: 4. In Theorem 5.4 in the Lecture Notes we proved that if F: RN → Rm is differentiable at x = RN then…
A: #####(i)The proof of the continuity of F at x relies on the differentiability of F at x . The…
correct answer is B
could you please explain
![Let
[1,2]
R2 be the curve defined by y(t) = (t, 3(t − 1)²) for t = [1,2], and
let f R2 R be defined by
:
(x-1)² - y
f(x, y) =
1 +12|y|
Then the integral y fds equals
(A) 2/13
(B) -2/3
(C) 0
(D) -2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6099d21a-e15a-47f8-adbb-0c871c33581f%2F7525ea83-a0e4-4340-8321-084cf6a0c85d%2Futwzhoq_processed.png&w=3840&q=75)
Step by step
Solved in 2 steps
- Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.Let 7(t) = ( - 5t + 2, t² – 4t³, 3t*). Find the line (L) tangent to 7 (t) at the point (7, 5, 3) | L:(x, y, z) +t 13.6Consider the function f(x, y) = 2x² + xy² − 6xy + 5x + 2. (a) Show that (1,3) is a stationary point of f. (b) Classify the stationary point (1, 3).
- Compute F · dr where F(x, y) = <2x+1,y> and C is the path traced by the line segment starting at (0, −1) and ending at (1, 0), followed by the half circle of radius one above the x-axis runningcounterclockwise from (1, 0) to (−1, 0).2. Consider the function f: R²R such that f(x, y) = x²y-2xy² +6xy-3y² +18y +4. (a) Show that f has precisely two stationary points: (-4,-1), and (0,3). (b) Determine the nature of these two stationary points.let r (t) = The y component of r ()
- Plot the slope field of y = x + y using slopes m = -3, -2,-1,0,1,2. Sketch integral curves for y (0) -6,-4,-2,0, 2. For reference: y = -2x-4+ (y(0)-4)*/2Let f(x) = -³x²+2x+1 a) Find the equation of the secant line between the points P and Q on the graph of y = f(x), where P has x- coordinate 0 and Q has x-coordinate 2. b) Find the point R on the graph of y = f(x) where the tangent line to f at R is parallel to the secant line from part a). Give the equation of the tangent line that you found. c) Plot, using Desmos's graphing calculator, the graphs of y = = f(x), the secant line from part a) and the tangent line from part b). All three graphs should be plotted on the same plot. Comment on how your graph matches the work done in parts a) and b).Find the orthogonal trajectories of the family of curves y = kr. P = c P = c © 3y = ( (1) 3 + 3 = C E)+ 2 = C (A) ;. 7 7,2 C (B) ; 5 .2 5,2 = C (D) 3 y³ + 3 x³ = C (E) y? + 2x2 (F) + = c (G) 2,² + = c (H) + 3.x = C 7 5 ,2 7 5 + 3 x = C
- The graph of y =x-3x-24xr+32 is concave upward on the interval (1, oo ) because: Oy' is positive on the interval (1, o0) Oy is negative on the interval (1, oo) Oy" is positive on the interval (1, o0) y" is negative on the interval (1, 00)13. Find an equation for the tangent plane of the graph of f at the point (xo, yo, f(xo, yo)) for: (a) ƒ: R²2 → R, (x, y) → x − y +2, (xo, yo) = (1, 1) (b) (c) ƒ: R² → R, (x, y) ↔ x² + 4y², (xo, yo) = (2, -1) f: ƒ: R² R, (x, y) → xy, → (xo, yo) = (-1, −1) (d) f(x, y) = log (x + y) + x cos y + arctan(x + y), (xo, yo) = (1, 0) -2 (e) f(x, y) = √√√x² + y², (f) f(x, y) = xy, (xo, yo) = (1, 1) (xo, yo) = (2, 1)