Find the equation of the tangent line and the normal line at the point corresponding to the given value of x. 6. x=3 axis y = x=3 x+1 x-2 x-axis

Q: Find the Tangent vector, the Normal vector, and the Binormal vector (T, N and B) for the curve r(t)…

A: This question can be solved using the concept of vectors and derivatives.

Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

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Q: If the region under the graph of +++/-/1 -- y = x² + from x = 1 to x = 5 is rotated about the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Find (any way you want) the integral [F.dr, where F = (sin x+2y, x+y²), and C is the triangle with…

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Q: 3 C≈ (Do not round until the final answer. Then round to the nearest tenth as needed.) A≈ (Do not…

A: Topic:- trigonometry

Q: The function y=c1e-x+c2e-5x is the general solution of the homogeneous equation with constant…

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Q: PROVE each identity. Show your work a) sin(x)sec(x) = tan(x) b) c) 2tan(x) cos(x) sin(y) = cos(x -…

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Q: Let f(x)= = 3x + 12 if x - 3 2 if x = -3 Select all statements below that you agree with. Note: You…

A: The given function, fx=3x+12if x<-3x+12if x>-32if x=-3

Q: sec²(x) √2-3tan (x) dx

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Q: Work Problem I answers. 1: Write step by step solutions and justify your 1) [ ] A bacteria culture…

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Q: If a function has a two successive maxima at 4 and (7,4) and a range of [-2,4], determine the…

A: answer is in next step. please give a like !!

Q: Find the constants a and b such that the function is continuous on the entire real line. x≤ -3 7,…

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Q: The graph below is the function f(x) 543 -5 -4 -3 -2 -2 2 1 I 2 lim I→2 -1 -2- -3- -4 Select all…

A: In this question, we want to select all the correct options by the given graph.

Q: Inflection point candidates are achieved when the second derivative is 0 , or when the second…

A: We know that at  inflection point on graph function change its concavity    i.e concave up to…

Q: What is the integral that represents the length of the curve from x = 2 to x = 4. Select one: 0 ₂²…

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Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

A: We will find the derivative of given function as shown below

Q: Find f'(x). f(x) = O O O 6x - sin² (5x) f'(x) = O f'(x) = f'(x) = f'(x) = = 6-10sin(5x)cos(5x) 2√6x…

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Q: Solve the initial-value problem 1. (D² + 4) v = 12; y(0) = 0 (0) = 2

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Q: Evaluate the integral by making an appropriate change of variables. 5(x + y) ex² - y² dA, where R is…

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Q: estion 4, 6.2.7 Solve the triangle. a=3, b=14, c = 13 O > 13 points O Points: C A b=14 c=13

A: Please refer to the image below

Q: 1₁ (²+4)y=12; y(0) = 0 (0) = 2 1.

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Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: From the graph of the function, we have to find its increasing and decreasing intervals.

Q: A company that produces cell phones has a cost function of C = 3x² - 46x + 15097, where C' is the…

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Q: (Question 8, 9, 10, 11, 20 pts) For the following exercises, find /(x) for each function. Use th…

A: As per the guidelines, we will be answering the first question. As per the instruction in the…

Q: Question 5 Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis.

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Q: Sketch the system. Identify the type of graph within the system. Find the intersection y = x² + 2x +…

A: Given data÷   y=x2+2x+1 and  x-y=-3   y=x2+2x+1 is a parabola and  x-y=-3 is a straight line

Q: Find dy/dθ by logarithmic differentiation.…

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Q: Evaluate ³*-2 dx 3x-2 e³x-2 + C O (3x-2) e³x-2 +C Ⓒ (3x-2) Ce³x-2 3x-2 3 + C

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Q: Given that n=0 x = 1 1-x Identify its interval of convergence. The series is convergent from , left…

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Q: Use the graph of y = f(x) to answer the question regarding the function. 10 -5 10 5 3) Find f(3) =…

A: From the given graph, we have to find the left and right limits at the point x=3.

Q: O The following integral L (3. (3-ex) dx is an improper integral of type II that converges to -2. is…

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Q: 5 [³ (Use symbolic notation and fractions where neede Calculate the integral, assuming that f(x)dx=

A: topic:- integration

Q: (a) Find the equation of the tangent line to the curve y = x2 at x = 1. (b) The line in part (a) is…

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: Find polar coordinates (r, 0) of this point with I with expressed in radians. Lets r > Oand 0≤0<2…

A: The objective is to find the polar coordinate.

Q: Question 3 ( ) Evaluate the integral Il ² D - y dA where D is the region bounded by the curves y =…

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Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x² - 5xy + y³ = 21

A: As per policy only first question is answered. Please refer to the image below

Q: Find an explicit solution dyy² dx x² - 1 of the given initial-value problem. y(4) = 4

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Q: View Policies Current Attempt in Progress Determine whether the following statement is true or…

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Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

A: Concept: The function f(x) represents the graph of the linear equation and the function g(x)…

Q: Suppose dy dx = 4ye³x. Answer the following. 1) Separate the differential equation, then integrate…

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Q: ind polar coord in radians (-4₁-4√3) of the points

A: We will solve.

Q: Evaluate: f 4dx 3x+2

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Q: Find the constants a and b such that the function is continuous on the entire real line. 8, ax+b,…

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Q: a). i) Find the exact length of the curve y = 1/² + 1/ ²15x52 2, 6x ii) Find the exact area of the…

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Q: Question 18 of 20 Determine whether the following statement is true or false. dy If y = f(u) and u…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: If the line r = (2-t, -2 + 13t, 8t) is the normal tangent line to the level surface axyz²by² = -14…

A: answer is in next step . please give a like !!

Q: ollowing when trigonometric substitution is used?

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