Refer to the figure below. (a) Find the angle opposite the longest side. (b) Find the area of the triangle. 20 13

Q: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

Q: You are in the process of solving x³y² - 7x³y = cos (7x), x > 0 which of the following would be…

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Q: M8 K=1 K² +1

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Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

Q: Determine the following limits, using ∞o or - ∞o when appropriate, or state that they do not exist.…

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Q: a) | Find the parametric and symmetric equations of the line L which is the intersection of the…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

A: Please see the below picture for detailed solution.

Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =

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Q: Evaluate the given function for f(x) = x² +1 and g(x) = x -4. f(0) = a) (0) = 9 (0) b) 4xg (-3)= c)…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly…

Q: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

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Q: . The volume generated by revolving about the y-axis the region enclosed by the graphs y=9-x² and…

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Q: 4. √ √x(2x-¹ – 1)¹/² dx

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Q: k. [₂ x cos³ 2x sin 2x dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Which of the following vectors is in the same direction as the vector a = 5i - 4j + 3k? Select one:…

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Q: Assume x and y are functions of t. Evaluate dt y³ = 2x² +6: dx dt -=4, x= 1, y = 2 for the…

A: Please follow the next step.

Q: Evaluate and Show all necessary solutions. 1. S √x-³√x+3x-1dx

A: The given integral is;  (5+3sqrt(x))/sqrt(x).

Q: Use centered difference approximations to estimate the first and second derivatives of y = ex at x =…

A: The central difference for first and second derivative is calculated respectively,

Q: Exercises: I 2, (3-x²) dx 3 (5+3x-x²) dx

A: The objective of the question is determine the Riemann sum and evaluate the definite integral.

Q: 1.) Determine whether the following series is convergent or divergent using The Comparison Test. ∞…

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Q: Find two unit vectors orthogonal to both (6, 9, 1) and (-1, 1, 0). (vector with the smaller…

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Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of…

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Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

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Q: Hos solv the step? ₁0.9062cos (1-√3x) d x [sin (1-√√3x) -√√3 √³x)] -0.1 -0.1 sin (1-√√3a) - sin…

A: We have to solve the step  sin(1-√3a)= -0.9556+0.9210

Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

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Q: г 3x +4 x3их н dx

A: We can find and explain the answer with proper reason as below.

Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

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Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

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Q: B. Determine the general solution for each given higher order differential equation. Write your…

A: We have to find the solution of differential equation

Q: 2. √ √x (5 - 2x + x²) dx

A: As you mentioned question no. 2 solved

Q: X. S 2x4 x³x²+x-1 - dx

A: Since multiple questions are asked I am answering first question

Q: 8,x<0 f(x)= {ax+b, 0<x<2 a= 4,x22 Llene los ...

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Q: find the are 2y² + 3x² = K family of orthoganał to the when κ>0 y >0. choose your answer from the…

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Q: 6. Which of the following is FALSE? 7. f A. (4 cos x-3 sin x) dx = 4 sin x + 3 cos x + C B. f3e³x dx…

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Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: Find two functions f and g such that h (x) = (fog)(x). h(x)=√4x-1 Select a function for f(x) and a…

A: h(x) = (f*g)(x)  it means  h(x) = f(g(x)) we have to make it  h(x) = 4x -1

Q: Given : 6 (x, y, z) Compute the gradient = 3 6y³ z³ - 5 ex at PA (2,2,1-5) of G (x, y, z)

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Q: What does the index value of 78.8 in 1990 mean? Explain your reasoning. Year 1960 1970 1980 1990…

A: Ratio of the gas price index in 1990 to the gas price index in 2000 is 0.788.

Q: es of a force funct joules 0 6 9 12 15 18 f(x) 9.6 9.1 8.5 8.3 7.8 7.5 7.2

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Q: Find the vector projection of OA = (4, 3) on OB = (4, −1).

A: This is a basic vector problem

Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

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Q: A river is 2 km wide and flows at 6 km/h. Anna is driving a motorboat, which has a speed of 20 km/h…

A: In this question we have to find the solution for the following statements.

Q: Find the area enclosed by the curve x² + 8y + 16 =0, the x axis, they axis and the line x-4 = 0. A.…

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Q: y ′ + xe y = 0.

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Q: \(\) The point (5, -1, -7) is not the center of the sphere represented by the equation x² + 10x + y²…

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Q: Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of…

A: This question is related to equation of sphere, we will solve it using given information.

Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: The annual inventory cost C for a manufacturer is given below, where Q is the order size when the…

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Q: Use the method of reduction of order to find a second solution of the differential equation ty" +9ty…

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Q: 1 - cos(40) 2

A: We have to simplify the expression  1 - cos4θ2.

Q: lim cos nл| 2n-1 - 2n+2

A: Use : cos x =1-x22!+x44! + ...........