Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 10 Figure 1 A 5

Q: Use the derivative f'(x) = x²(x - 5)(x + 5) to determine the local maxima and minima of f and the…

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Q: Evalute fi f (y³ – xy)dydx -

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: Problem 7 Proof that if lim f(x) exists then it must be unique i.e., x→a if lim f(x) = L and lim…

A: In this question, we want to prove that if a limit of a function exist then it must be unique.

Q: 5 Laplace transform, solve y" - 4y' + 7y = 0 y(0) = 3 , y'(0) = 7

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Q: Why are 9x^2-81y^2=0 and 9x^2-(z^2/4)=0 hyperbolas that pass through the origin and not lines that…

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Q: 25 x4+X'+2x х4 +X3+2x2+3x-2 x2-3х +2

A: We need to evaluate: ∫x4+x3+2x2+3x-2x2-3x+2…

Q: Consider the function f(x)=√1-x+6 for the d 1 Find f(x), where f¹ is the inverse off. Also state the…

A: We have to find solutions

Q: Evaluate 2 6 (x + 2)√√/x-2dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 16. Find the quadratic function such that f(4) = - 26, f‘(4) = -19 and f“(4) = -6.

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Q: Consider the following graph on the interval ریہ 150 -120 -90 -60 - 150° < x < 90°: 1. What is the…

A: Solution :general equation of graph y=AtanBxperiod=45°--45°=90°=π2period =πBπB=π2B=2B=2y=Atan2x

Q: True or False: We have [x 3 Select one: True False xdx > [²x x² dx

A: Here we have to use the concept of integration

Q: Solve the given differential equation by undetermined coefficients. y" + 2y = -18x2²x y(x) =

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Q: Given r(t)=cos(t)i+sin(t)j+2tk, find and completely simplify T(t) and N(t)

A: Here we will find T(t) and N(t),

Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

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Q: The graph of the second derivative f" (x) is given below. On what interval(s) is the function f(x)…

A: Solution

Q: Find the radius of convergence and the interval of convergence. xk k(k + 5) Radius of convergence:…

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Q: 3 2 X'+X +2x + 30 - 2 (22-3x+29 2) -dx

A: Let's integrate given integral.

Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Do the first two terms of the Taylor series by hand where X_0 = 1

A: Given :∫1232xe-xdx

Q: Calculate the following antiderivatives: (a) ∫ 8t− 6t^6 −5dt =  +C. (b) ∫ 1/u^7/4 + 3.5 sqrt u du…

A: a) Given:       ∫8t-6t6-5dt  =∫8t dt-∫6t6 dt-∫5 dt taking constant out     =8∫t dt-6∫t6dt-5∫ dt…

Q: fror Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 2x² 3…

A: We have to find the surface area of the solid.

Q: If F(x) = 3x4 is an antiderivative of f(x), find Provide your answer below: [(-5f(x) – 5x³) dx.

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Q: 1 a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

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Q: Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of…

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Q: A - 3 In 1x³ 3x²1+C BIn 1x³ 3x²1+ C x²–2x x3 3x² C dx In 1x³ 3x²1+C In 1x³ 3x²1+ C -

A: The given integral,    ∫x2-2xx3-3x2dx

Q: (a)i Find a vector equation and parametric equations for the line that passes through the point A(5,…

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Q: Evaluate the definite integral. 2 cot-¹(x) 1 + x² 1 - 1 dx

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Q: • Find f' (-1) for f(x) = (3x + 2)² in each of the following ways: • Create a table of secant slopes…

A: Solution is given below:

Q: Find the arc length of the curve below on the given interval. 3 1/3 3.5/3 y = 5x +9 on [1,27] The…

A: The given curve,    y=35x53-34x13+9 on 1,27

Q: Work Problem 1. J (a)i- Show that the following equation represents a sphere, and find its center…

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Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: We need to find f'(x).

Q: 4 T 40 sin(3x)dx None of them -0.532 -0.253 0.253 -0.235 0.0235 -0.325

A: Solve the definite integral

Q: determine whether the given series converge or diverge. 20. (-0.99) ¹+1 n=5

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 7 y =…

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Q: The value of the definite integral 3 [² (3x² Jo 0 is (3x² - 2x + 4)dx

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Q: b) [. Provide two points on the sphere that you have in part a. c) [. The intersection of the sphere…

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Q: Solve 2 sin² (t) + sin(t) - 1 = 0 for all solutions 0 < t < 2π t = Give your answers as a list…

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Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find the…

A: Let common ratio of geometric series =r  We know if |r|&lt;1 then geometric series convergent…

Q: 2) Is A P Q R a right angle triangle P(-5,3) Q(-7,8) R(3, 12) and it. name

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Q: Find the following for the given equation. r(t) = (t² + 3t)i + (t² - 3t)j (a) r(t) = (No Response)…

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Q: Find all solutions to 2 sin(0) 0= = - - 1 on the interval 0 ≤ 0 < 2π Give your answers as exact…

A: We can find the answer as below.

Q: onds and S(1) is the distance in feet from the top of the building. What was the average speed of…

A: topic :- application of algebra

Q: A - [4 = 2 5 5 c=[-³3 C - 1 3 2 3] 0 - 2 1 B = D= 1 5 6 1 0 - 8 2 - 4 5 0 - - 3 1 2

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: Find the Taylor series centered at c = -1. 7 3x-2 f(x) = Identify the correct expansion. ∞ 3" - 7 Σ…

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: To find out the interval in which the function is increasing or positive.

Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

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Q: Evaluate 2 1 ² ₁² + √²³² - ²3/7 + 3x²³ - ²/3 d. X =)dx 3 X X 2 6.780 6.870 -6.870 -6.087 -0.687…

A: Given ∫12x3+x43-3x32+3x2-2xdx