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Q: 10. Consider the polar equation r = sin² (2) a) Find the (rectangular) equation of the tangent line…

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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: = x³, y = 8, x = 0. Let R be the region bounded by the curves y = x³ 1. Sketch the region and find…

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Q: 1. Newton's Law of Gravitation (an example of an inverse square law) states that the magnitude of…

A: Step 1:Consider the functionf(x,y,z)=∣r∣mMG​where∣r∣=x2+y2+z2​The gradient of this function is given…

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

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: Question 15 ✓ 6 pts 1 Details The function shown below is f(x). We are interested in the transformed…

A: Now, let k(x)=3h(x)=3f(2x).The graph of k(x) will obtain by stretching the graph of h(x) 3 times in…

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Q: DETAILS MY NOTES SESSCALCET2 6.3.012. 6. [-/1 Points] Evaluate the integral. x-4 dx x² - 5x + 6 Need…

A: 67891011

Q: Find the area of this sector  please show work

A: We find the area of the sector by using the formula:A=21​r2θ where:  • θ  is the central angle in…

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A: 1. Given:  y=exWriting the given expression for Taylor's series…

Q: Question 1 Let f(x) = 15 and g(x) = +5. Find the following functions and simplify your answers.…

A: Verify: Since)log4​(x+2) is undefined for x=0 the only valid solution is x=4096Answer: x=4096

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A: Approach to solving the question: Given Field and Scalar Potential:F=∇φ   ,…

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A: Step 1: Define w Step 2: Compute p(w)Step 3:Roots of p(x) Step 4: Final Answer

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A: Step 1:Ship A starts 40 nautical miles west of Ship B and is sailing west at 18 knots (18 nautical…

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Q: 3.1 Limits 1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice. x+3° x+3* x+3 (a)…

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Q: Solve this differential equation: dy 0.05y(900 - y) dt y(0) = 2 y(t) =

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

Q: 2sec^2x-2sec^2x•sin^2x-sin^2x-cos^2x=1

A: Step 1:It is needed to prove the following identity:2sec2x−2sec2x.sin2x−sin2x−cos2x=1 Now, the…

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Q: a) Sketch the y = cosh x, and indicate its properties. b) prove that sinh 2x = 2 sinh x coshx dx…

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Q: 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) =…

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Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. y 5 f 20 30 t (a) Evaluate g(x)…

A: Step 1: Step 2: Hint:- In (b) I used mid-point theorem. Step 3: Step 4:

Q: Question 2 If A(t) = 3t² i − (t + 4); + (t² - 2t)k and B (t) = sinti +3ej-3 cos tk, find (A x B) at…

A: Step 1: Step 2: Step 3: Step 4:

Q: please include radicals in answer

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Q: Question Given the following piecewise function, evaluate lim →1− f(x). Select the correct answer…

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Q: 8 pls show work

A: Here is the step-by-step explanation: Problem 8:​Step 1: Understanding the Relationship Between…

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Q: Calculate the first five terms of the following sequence cn = n+(n+1)+(n+2)+···+(2n)

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

Q: Please refer below

A: Step 1: Step 2: Step 3: Here the graph of the function.

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Q: Evaluate the integral using integration by parts. Sx² cos (9x) dx

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A: Solution:   Thank you!!! and rate helpful if it is really helpful to you.

Q: (3) (6 points) (a) (4 points) Find all vectors u in the yz-plane that have magnitude [u also are at…

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Q: #49, #54

A: 49. f(x)=x−5x2−25​:The domain of a rational function excludes values of x that make the denominator…

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Q: Find particular solution to the differential equation.

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

Q: Question 4 Find an equation of (a) The plane through the point (2, 0, 1) and perpendicular to the…

A: ANS : ( a ) ​STEP 1 ​​  STEP 2 ​​   ANS : ( b ) ​ STEP 1 ​​STEP 2 ​​  ANS : ( c ) ​ STEP 1 ​​ STEP 2…

Q: 12. [0/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.022. Evaluate the indefinite integral. (Use C for…

A: Step 1: Step 2: Step 3: Step 4:

Q: 43 University at Buffalo Previous Problem Problem List Next Problem At least one of the answers…

A: Step 1:a)The elevation is 10000-9600=400b) B ascends more rapidly.c) A path will you probably have a…

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A: We are given the vector field: F(x,y,z)= (x1​+x2,5,z21​+z2) and the domain:…

Q: the correct answer is A could you explain why

A: The solution to the Numerical Series ProblemWe analyze the given numerical series:∑ (n² + sinh(1/n))…