The value of θ, where 180º ≤ θ ≤ 360º, in the equation 2cos2θ + cosθ =0 would be? i) θ = 90º, 120º ii)θ = 90º, 120º, 240º 270º iii)θ = 240º, 270º iv)θ = 60º, 90º, 270º ,300º

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A: Let's find equation of tangent plane and parametric equations of normal line.

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

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Q: Problem Solving 1. For the following problems, determine the area of the region between the two…

A: Solved below.

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Q: Complete the table. y = f(g(x)) y = (3x - 4)4 Need Help? Submit Answer U= Read It u = g(x) y = f(u)…

A: Explained below

Q: One number exceeds another by 1. The sum of the numbers is 73. What are the​ numbers?

A: Given data÷ One number exceeds another by 1. The sum of the numbers is 73.     Let assume that  One…

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Q: the area of the region between the x-axis and the graph of the functionshern X = 2 X=1 below and the…

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Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: A rectangular box is to conta 125 in³. Find the dimensions of the box for which the surface area is…

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Q: B) Find derivative of the following function d Gtana dx

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Q: Find a particular solution yp of the following equation using the Method of Undetermined…

A: answer is in next step.

Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

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Q: Find the area between two curves: 1. Determine the area below f(x) = 8x - 2x2 and above the x-axis.

A: Given: curve y=8x-2x2To Find: Area between the curve and above the x-axis

Q: Use the following graph of a function f to determine y to the nearest integer for y = f(4). y=9…

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

Q: 2. For the following problems, determine the area of the region between the two curves in the given…

A: The simple integration..

Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: - be to your advantage to simplify first.

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Q: A ball is thrown straight down from the top of a 482-foot building with an initial velocity of -15…

A: Solve the following

Q: Find the derivative of O 2sec 2x 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A: I have stated the used formulas in the solution

Q: 5. Use the Squeeze Theorem to evaluate lim sinz 1-00

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Question 1. Tangent and Velocity Problems Exercise 2.1, Problem 3. I need answer part b and c only…

A: Slope of a secant line is =( f(x2)-f(x1))/(x2-x1) we have to find the the slope of the tangent line…

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: Q1: Answer 2 branches only A. Find the general solution of the following Initial Value Problem…

A: Given :y''-2y'-3y=5cos2t

Q: which means that and thus 2x 5x + 3 and g(x)= and g'(x) = D II 5x + 3

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Q: a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.…

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Q: Numerical Integration. Use the table provided for the integral to find the given ap Round each…

A: Given ∫141x We need to find the trepizoidal approximation for 6 sub-intervals∫abf(x)…

Q: What are the domain, range, and period of the function f(0) = -2cos = -2cos ( - - - 0) + 1₂

A: Let's find domain and range for given  function.

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

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Q: Solve the differential equation: dx || y+1 *

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Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: What is the divergence of the vector field F of F(x,y) = x² i + 2y²j?2 div F = 2x + 4y div F = 4x +…

A: Given: F→=x2i+2y2j

Q: 1505 152 mxa 081 dial 3a. Find the coordinates of the relative maximum and relative minimum of the…

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Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: B 1. Find the eigenvalues and eigenvectors of A = 3 linearly independent? Why? -2 -3). Are the…

A: This is a problem related to matrix operations. Based on the general formula and concept we will…

Q: The Value of the integration for the below function shown is : sec²2xdx

A: We can solve the given problem as follows:

Q: Given that f(-5)=2, f'(-5) = -4, g(-5) = -7, g(-5) = 6,

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Q: A ball is thrown straight down from the top of a 482-foot building with an initial velocity of -15…

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Q: (x+h)³-x³ h C. lim- h-0

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Q: for the function below, the domain and the range is respectively -2+√1-x

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Q: ylor Polynomials: -- Find the 3rd order Taylor Polynomial for f(x) x centered at a = 2.

A: