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Q: g(e) = . Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.…

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Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). r(t) = 8 cos(6t)i + 8 sin(6t)j+ 7tk K(t) =

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Q: John and Lashonda are standing on a riverbank, 130 meters apart, at points A and B respectively.…

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Q: Consider a triangle ABC like the one below. Suppose that B=75°, a= 68, and c=49. (The figure is not…

A: Cosine Law :       cos A = b2+c2-a22bccos B = a2+c2-b22accos C = a2+b2-c22ab

Q: Alkernating - Use the llecom Series Theorem to prove that the sSeries which is the Sum from to…

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Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

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Q: Question Solve the following equation exactly where 0 < 0 < 2ñ. 3(csc? 0 + 5) = 21 Select all…

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Q: y a+h Figure 1.3.2: Plot of y = f(x) for Preview Activity 1.3.1. b. Construct a right triangle whose…

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Q: 1. Let f be a function satisfying the following properties: lim [f(r) – (x + 2)] = 0 continuous on…

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Q: HOMEWORK 2 The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the…

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Q: 1. F(x) ; (3, 7), [-6, 4], (-co, 0), (-5, +∞), [-5, +∞), [10, -5) %3D x+5 2. F(x) =: (0, 1), (-1,…

A: To find the domain of the function.

Q: How many boundary conditions are required to obtain a unique solution for an 3rd order linear…

A: To solve a third order differential equation, having order  3 It requires three- point boundary…

Q: (142) (2+) dx equals Q. 41 (z cos z + sin z)*

A: Solution of the problem as follows

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: 1. Let f be a function satisfying the following properties: • continuous on R\{1} • f(0) = 0 and…

A: Solution is here

Q: Use the Definition of a Definite Integral or Theorem 4 from Section 5.2 to find the exact value of…

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Q: Find the average value of f(x, y) over the region R. F(x, y) = x R: rectangle with vertices (0, 0),…

A: Given problem:- Find the average value of f(x, y) over the region R. f(x, y) = x R: rectangle with…

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: b) Find the exact area of the region enclosed by the curve y = x² – 3x, the x-axis and the vertical…

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Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: As you have asked for the solution of question 34 only, so I am solving only that. Thank you.   34.…

Q: (c) Determine whether the following function continuous at point (0, 0). Justify your answer. x²-xy…

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Q: Write the equation of a sine or cosine function to describe the graph. y = || 1 -2 |-3 - -4-

A: The given graph can be obtained by stretching the graph of y = sin x  vertically by a factor of 2.…

Q: 28 74.6

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Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v…

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Q: 1 3 = 14 y2 2 35 y? +

A: See below the answer and calculation

Q: a) Find the fifth term of the sequence 16 31 46 61 9' 15' 21' 27 b) Find the general term of the…

A: a)169,3115,4621,6127,....b)1010,1815,2620,3425,....

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

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Q: From Rogawski ET 2e section 10.2, exercise 25. Use the formula for the sum of a geometric series to…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t = 8 T(8): N(8) =

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Q: Find the general antiderivative F(x) + C for the function. 126+ 3x+ f(x) = x3 O 3x4 +x2 + C 3x* +x +…

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Q: evaluate the integrel of (4+r)^3 dr

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Q: Find f such that f'(x)= 6x-5, f(2) = 0. f(x) =|

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Q: Compute the area enclosed by the curves. You must show your work. 1 y = x, y = x³, %3D 6. 2 312

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Q: Solve the following system of IVP: -3 3 x' = Ax where A =-2 -1 1 and x(0) 21 %3D 3.

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Q: Solve the problem. Given that f(x) = 4x + 4, find lim [f(x) - f(7)/(x - 7)] x-7

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Q: dz (b) Determine the by using the Chain rule with the following information: ds 2 X = - s2 2 7 z =…

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy? *…

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = 11 cos(3t)i+ 11 sin(3t)j+ 7tk…

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Q: Fill in the missing values to make the equations true. (a) log, 4 - log, 5 = log, %3D (b) log,+…

A: logarithm expressions are given,. we have to find the missing values

Q: Write the equation of a sine or cosine function to describe the graph. 5- 3+ 2. 4 -2- -3

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Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and hat a and a + h…

A: Given, y=f(x) is the function with the graph. a and a+h are the input values(x-values).

Q: Calculate the derivative by expanding or simplifying the function. 1 – 2(19t) s(t) = (19t)l/2 (Use…

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Q: The vector v with initial point (0, 0) is shown below. Write v in the form v=ai+bj, where a and b…

A: Given ,  The vector v with initial point (0, 0) We have to write v in the form v = a i + b j where…

Q: c) Find an equation for the plane parallel to the plane 2x – y + 2z = -4 if the point (3, 2, –1) is…

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

Q: 7. Test for relative maxı.na and minima and classify the critical points of the function f(x, y) =…

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Q: Y=x(root2-x) Can someone explain why the domain is x=

A: The domain of the function is set of all possible input values for which function is defined.

Q: If we apply Rolle's Theorem to the function f(x) = 2x – 12x – 3 on the interval [1, 5], how many…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the quadratic formula to solve forx. 5x+5x-1 0 (If there is more than one solution, separate…

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Q: 52° 14

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Q: Rewrite the equation x? + y? + z² = 2 in spherical and cylindrical coordinates.

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