Suppose F is an antiderivative of f(x) = VT. If F(0) 1 then F(1) 4 %3D %3D is 3 A. –1, B. -, C. 0, D. Е. 1 -

Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Use the ratio test to discuss the Con vergence or divergence of the seríes which s the Sum from n1to…

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Q: a) Find the fifth term of the sequence 16 31 46 61 15' 21' 27

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The function given below is discontinuous at x = 1 - 4 I1 O TRUE O FALSE

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Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Solve the initial value problem +3y , 0>0, y(1) = -5. de

A: To solve: θdydθ+3y = sinθθ2, θ>0, yπ=-5 ⇒dydθ+3yθ = sinθθ3 This is a linear differential equation…

Q: I need some help with this question. Thank you :)

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Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

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Q: a. Use the substitution u = e and partial fraction decomposition to derive the following integration…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: This question can be solved using the concept of equation of line passing through two given points.

Q: dz (a) Find of the following functions: dx 2+1 +cos y? = sin(y'+ 22z) COS 7 ZX %3D

A: Solving

Q: 5. Find the derivative if yyx – 8 = xy + 2

A: yx-8=xy+2Differentiate w.r.t x

Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: Find f'"'(x), the third derivative of f, and f (x), the fourth derivative of f. f(x) = 7x* + 2x³ +…

A: In the original solution it had been shown that:  f4x=ddxf'''x=ddx168x+12=1681+0=168

Q: The diagram at the right represents the height of a blimp flying over a football stadium. Find the…

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Q: I can't tell what the answer is supposed to be. None of the answers are the same as the options and…

A: Apologies for the inconvenience. Here is the proper solution:   We will need the limit definition of…

Q: What is the contour map of the function using the given values of k? t(x, y) 1 1 1 1 x² + y? k = 0,…

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v= (0, 6) %3D b =

A: Explanation of the answer is as follows

Q: 2 ax- J] ydydx 0 0

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Q: Solve for the function f(t) of the Laplace transform. S-1 F(s) (s+1)(s²+4)

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Q: Continuity: a. Determine the points of discontinuity and classify them. b. Give the domain and range…

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Q: Solve the area of the surface of revolution generated by revolving the arc of the curve, x=y° from…

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Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: B. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS 2. (D2 + D – 2)y = 2x – 40cos2x 3. (D² + 1)y…

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

A: A vector valued function in the form of  r (t) = f(t) i +g(t) j +h(t) k is continuous at the…

Q: llowing series determine if the series converges or diverges cence or divergence. (e) Alternating…

A: We have to check the given series is converges or diverges according to the given information

Q: Evaluate the definite integral. e4t i+ e-j+t k)dt O et – 1 – (e-1 – 1). 4 2 O e4 i – 1 j + k 4 (e* –…

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Q: Let f(x) = r³ – 3.r² + 4. Using the Mean Value Theorem, determine the value of c € (0,3) such that…

A: Given    f(x) = x3-3x2+41. Continuity:     we know that, every polynomial function is continous in…

Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 8t)i - 5t2j (a) r'(t) (b) r"(t) (c) r'(t) · r"(t)

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: 3. Four inhabitants of a small island return from a vacation infected by a contagious disease. The…

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y²(2x² + y²) = c O 2y(2r² + y²) = c

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Q: 5x 5y 7x²47 7x+7 • 0). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 Ex + 3y +z = 8 Find the normal vector, n,,…

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Q: I just need help solving this integral

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Q: A high-walled arena has a radius of 20 meters. Point O being the center, point A is along the…

A: Given that radius = 20 m. So, OA = OC = 20 m. Given OB = 10 m. So, BC=202+102=500=105 m.   Let, D =…

Q: Consider the following. u = (6, -1, 0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal…

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Q: Find the limit. lim (t i – 7 j+1² k) t→5 lim (t i-7 j+t? k) = i+ j+ k i i i

A: To find the limit: limt→5(t i-7j+t2k)

Q: (d) (u v)v (e) u (3v)

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Q: What is the average value of y= cos x on the closed interval -13]2 (A) -0.085 (B) 0.090 (C) 0.183 D)…

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Q: x³ – 11. What is dx ? х-1 x2 + 2x + C x3 x3 A. + C B. +x+ C C. 3 D. x(2x²+3x+6) + C 12. In solving S…

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Q: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: A detailed solution is given below

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Find your answer below

Q: Tor each of the following series determine if the series conv or series convergence or divergence.…

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Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

A: A machine that was purchased 5 years ago for $66000 is worth $36000 today.

Q: Describe the graph of the equation. r = (8 - 3t) i - 14t j O It is a line in 2-space that goes…

A: Let's find.

Q: Find all points on the graph of ƒ(x) = 2 sin x + sin?x where the tangent line is horizontal

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Q: (a) Ratio Test: (n+1)! n=0 n+2 (b) Ratio Test: 51-n (n+ 1) n=1 5n2 – 2n +1 3n2 +n – 3 (c) Root…

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