Let ä(t) = (3,-2,-5)t + (7,−1, 2) and (u) = (5,0, 3)u + (−3,−9,3). Find the acute angle (in degrees) between the lines:

Q: The Fourier series of the function is given by where со Сп and bn || f(x) = {- 9x if π < x < 0 -4x…

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Q: Is the function f(x) shown in the graph below continuous at x = −5? f(x) 7 6 5 4 2 1 0 -10 -9 -8 -7…

A: If you have any questions let me know in the comment box thankyou.

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

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Q: 6. Sketch the trace of the following curve on R², п 3п (t) = (t2 sin(t), t2 cos(t)), tЄ 22 [3 Marks]…

A: ### (i) Sketch the Trace of the CurveThe curve is defined…

Q: You guys solved for the wrong answer. The answer in the box is incorrect help me solve for the right…

A: [Note: Here P is a function of t not x. In answer box type t instead of x.]

Q: Q2 A/ State the main field tests which may be carried out to investigate shear strength of a soil…

A: ### A. Main Field Tests to Investigate the Shear Strength of a Soil LayerTo determine the shear…

Q: 2. Consider the vector force: F(x, y, z) = 2xye²i + (x²e² + y)j + (x²ye² — z)k. (A) [80%] Show that…

A: May this answer helpful to you.

Q: What is a solution to a differential equation? We said that a differential equation is an equation…

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Q: Given g = (-5, 10) and u = (5, 2), find -4ğ - 6.

A: If you have any questions let me know in the comment box thankyou.

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Q: Evaluate the following limit. lim X-X (10+19) Select the correct answer below and, if necessary,…

A: Therefore, the correct answer remains: limx→∞​(10+x210​)=10 So, the correct choice is still A, and…

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Q: If lim f(x)=L and lim f(x) = M, where L and M are finite real numbers, then what must be true about…

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Q: Question 1 Reverse the order of integration to calculate .8 .2 A = = So² Son y1/3 cos² (x²) dx dy.…

A: 5. Calculating sin(A):Let A = (3/8)(16 + (1/2)sin(32)) A ≈ 6.238sin(A) ≈ sin(6.238) ≈ 0.894

Q: - - Given that a = i + j − 2k, b = 2i + 3j+k, and c = 3j — 5k, calculate the following: A. a. b B. c…

A: If you have any help please let me know in comment box thankyou.

Q: Examples: Solve the following differential equation using Laplace transform (e) ty"-ty+y=0 with y(0)…

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

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A: 1) To find the Area of the Triangle, identify, first, its base and height. Note that:One end of the…

Q: 4. Evaluate the following integrals. Show your work. a) -x b) f₁²x²/2 + x² dx c) fe³xdx d) [2…

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Q: In the attached graph of f', and given that f(0) = -4 a) Approximate the slope of f at x = 4. b) Is…

A: //The answer above is the detailed solution of the given problem //Feel free to ask doubts if any…

Q: #81, #82, #84

A: Graph (81)Graph (82) Graph (83) If you have any questions let me know in the comment box thankyou.

Q: Please help on both Part b) and c) below Thanks

A: a.) Shift the index using k=j+2 so that it starts at j=1.Since the index is adjusted, we will also…

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Q: (4) (8 points) (a) (2 points) Write down a normal vector n for the plane P given by the equation…

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Q: • -7 10 1.0 (2 - x) for 0 < x < 2, Let f(x) = for 2< x < 6. Compute the Fourier cosine coefficients…

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Q: 8. Graph the polar equation r = 4 cos 30. Show work to fully justify your graph. 2 2 2 2

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Q: In Problems 17-26, solve the initial value problem. 17. dy = (1+ y²) tan x, y(0) = √√3

A: We used the separation of variables approach to solve the starting value differential equation in…

Q: 2. Which of the following differential equations has the direction field shown? Explain your answer…

A: May this answer helpful to you.

Q: Draw the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least…

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Q: could you explain this using stoke theoremi already circled the correct answer

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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…

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Q: EXAMPLE 3 Find S X √√2-2x2 dx. SOLUTION Let u = 2 - 2x². Then du = Χ dx = 2- 2x² = 信 du dx, so x dx…

A: Question 1Explanation:   Question 2or,  ∫1+25x2tan−1(5x)​dx=101​(tan−1(5x))2+C

Q: 4. Use the properties of limits to help decide whether each limit exists. If a limit exists, fi lim…

A: (a)x→4lim​(2x2−4x+5)Since the given function is a polynomial, it is continuous everywhere. By the…