Exercise 1 Find the value of x if 3 sinh x - 2 cosh x 2 = 0 using hyperbolic function formula. Answer.

Q: find limit,if exists

A: The objective of the question is to find the limit of the expression 'x cos(1/yz)' as the variables…

Q: 1. (x + √y² + 1) dx · (y – H.W. solve the following D.E. xy - - √12241) dy = 0

A: Step 1:

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: The given revenue function is: R(x,y)=110x+160y−3x2−2y2−xy Find the partial derivative of R with…

Q: ☐ ☐ 3. Approximate the following integrals using the trapezoid rule. (Round answer to four decimal…

A: Question 3.Step 1: Trapezoidal Rule (Approximation)Average of Left and Right Endpoints…

Q: Find a general solution for y in terms of x that satisfies the first-order linear differential…

A: Step 1: Given, differential equation is: xy′=y−2x,x>0we need to find the general solution and…

Q: Solutions to question 3 please

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: Find the equation of the plane containing the points P = (-3, 0, 2), Q = (-1, -1, 2), R = (-5, 3,…

A: The objective of this question is to find the equation of the plane that contains the three given…

Q: Given f(x, y) = 5e² sin (4y) vs (0.7) -

A: The explanation is above. Feel free to request clarification.

Q: 12 3. F(s) = = 53 +8 + sin 2t - 1). Suggestion: After finding the three cube roots -2 and 1±√√√3i of…

A: The given Laplace function is: F(s)=s3+812​ F(s)=(s+2)(s2−2s+4)12​ Now using partial fraction…

Q: Find y if dy dx = tan x

A:

Q: 2. Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

A:

Q: Let F(x) = (15)1/3 dt. Then F'(x) =

A: Step 1: Step 2: Step 3: Step 4:

Q: 2 x = (y-1)² x = 3 y 1 X = 2√y 2 x

A: Step 1:Step 2: Step 3: Step 4: thanks

Q: Find the dimensions of a rectangle with an area of 144 square feet that has the minimum perimeter.…

A:

Q: NO zion Given the following information, find the matrix A. 1. (47) ¯ = (25) = Instructions for the…

A:

Q: I need help with this problem and an explanation for the solution described below:

A:

Q: Use the ratio test to determine if Σ n=1 6 (n!)² (2n)! converges or diverges and justify your…

A: Let's calculate the ratio (an​an+1​​)for our series:…

Q: The following system is reduced to the given matrix below using the Gauss-Jordan elimination method:…

A: Steps

Q: Find a formula for the general term a of the sequence, assuming that the pattern of the first few…

A:

Q: n Given the following matrix, and the associated cofactor matrix C 1-2 -21 600 A = 0 3 1 C = 4-20…

A: Approach to solving the question:  Detailed explanation:

Q: 1. (a) Differentiate and substitute to show that y = x - x-1 is a solution to the differential…

A: Step 1: Step 2: Step 3:

Q: Use the disk method to find the volume when the region between x = y = 4, y = 0, and x = 0 is…

A:

Q: Please see image

A:

Q: Calculate the work done by the field F(x,y) = ⟨-2y, x⟩ in moving an object along the path which is…

A: Thank you,Please rate my response.

Q: its Use the Squeeze Theorem to evaluate the limit: lim 4x ecos(6x/x) = Sources +0x Submit answer…

A: To evaluate the limit using the Squeeze Theorem, we need to find two functions that are both…

Q: 10

A:

Q: Find the derivatives of the following functions (c) f(x) = In[ex sin x + x sin(e)] (d) f(x)=(1+ cos…

A:

Q: Let f(x) = x², and compute the Riemann sum of f over the interval [3, 5], choosing the…

A: Step 1:To compute the Riemann sum of f(x)=x2 over the interval [3, 5] using the right endpoints of…

Q: Evaluate the line integral f(x2+2y2)ds for C: the line segment from (1,2) to (4,6)

A:

Q: 18. MNPQ is a parallelogram and R is the intersection point of the diagonals MP and NQ. Let u = MQ…

A:

Q: Find the intersection of the plane -3x -8y + 4z = 2 and the line r(t) = <3,3, -3>t + <6,…

A: Step 1: To find the intersection of the plane and the line, we need to solve the system of equations…

Q: 2.7

A: Step 2: Step 3: Step 4:

Q: Use the graph of g in the figure to do the following. a. Find the values of x in (-2,4) at which g…

A: From the given graph, It is clear that,  graph is not continuous at x = 3.Also function is not…

Q: Express the number as a ratio of integers. 1.355

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 17. Use logarithmic differentiation to find dy for the implicit function た dx (1+x)5 (1 −…

A:

Q: Fast please..

A: Let's delve into the explanation of each part of the problem:### Part (a) Explanation:####…

Q: Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x, y, z)…

A: Step 1:

Q: Consider the elipse with equation x^2+4y^2 = 4  a) Find a paramentrization of the ellipse that…

A: Step 1: Step 2: Step 3: Step 4:

Q: Express cos 2 sin cos(2 sin-1(+)) in terms of x.

A: The objective of the question is to express the given trigonometric expression, cos(2 *…

Q: Determine whether the statement is true or false. True False If Σ C_8" is convergent, then Σ C^(-4)"…

A:

Q: For each of the following pairs of vectors x and y, find the vector projection p of x onto y. (a) x…

A: To find the vector projection of vector x onto vector y, we'll use the formula:projy​(x)=(x⋅y) /…

Q: Given: An = 9n 4n+13 For both of the following answer blanks, decide whether the given sequence or…

A:

Q: Find the average rate of f (x) = (x + 1)² over [-1, 2]. 5/3 2

A:

Q: Please help!! Be thorough and double check your work... thank you so much!!

A: Step 1:Step 2:Step 3:part c At θ = π/6 Calculate on according to value of part b;dD/dθ = 6cos2θ…

Q: ○ f(x) ○ g(x) 1. Compare the relative rates of growth of the following pair of functions and give…

A: Step 1: Step 2:

Q: Find all points (if any) of horizontal and vertical tangency to the curve. x = 3 cos² (e), y = 8…

A: Step…

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

A:

Q: 2. (a) Show that the following differential equation is separable: (x² - 1)y'xy = 0. (b) Use…

A: Ans 2 (a)Ans 2(b)

Q: 2. NO Calculator allowed: At the beginning of 2010, a landfill contained 1400 tons of solid waste.…

A: Step 1:Step 2:

Q: Use the substitution u = √(x) to calculate the indefinite integral from image.

A: Given:∫x​+x​3dx​First, we need to simplify the denominator, we have:=∫x​+(x​)2x​1​dx=∫x​+xx​1​dxWe…