3. Let f(x)=√F. and let g(x)= (fog)(x) -√√ √2² Calculate and simplify (fog)(r)

Q: Find the limit, or show that it does not exist. 2x - y lim (x,y) (0,0) y + x²

A:

Q: Evaluate the limit If the limit does not exist enter DNE. Limit Number = lim x 6 x2 x-6 6 x

A: To evaluate the following limit.If the limit does not exist then to enter DNE.limx→6 x-6x2-6x

Q: determine whether the given function is linear or nonlinear. If it is linear, determine the equation…

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 15. Find the limit. lim X48 lim X-8 sin 15x 19x sin 15x 19x =

A: See this solution in below.

Q: Suppose Use this to compute the following limit. Limit= Number What Theorem did you use to arrive at…

A: Snadwich TheoremSqueeze Theorem:  If g(x)≤f(x)≤h(x)  for all x in an interval containing a point…

Q: In problems 14-16, use the properties of definite integrals to support your answer. Be specific.…

A: Given, ∫26f(x)dx=9⇒f(6)-f(2)=9…

Q: (g) Differentiate g(x) = /1-². cos¹ (√) 3

A:

Q: Find the implicit equation of the tangent plane to z = ln(x² + 1) + y² at the point (0, 5, 25).

A:

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) A. For…

A: Order: The highest order derivative of dependent variable present in the differential equation is…

Q: 1. Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

A: We need to find partial derivative. NOTE - As per Bartleby guidelines we can solve one question.…

Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y − 2z subject…

A: Given function fx,y,z=2x+y-2z Let gx,y,z=x2+y2+z-2025

Q: Simplify the expression to a single trigonometric function. cot (t) csc(t)

A: cot(t)=cos(t)sin(t)csc(t)=1sin(t)

Q: Evaluate the following integral. π/4 S 0 cos x)² dx secx+cOS X)

A: Explanation of the answer is as follows

Q: Find the limit of each of the following sequences, using L'Hopital's rule when appropriate. √n Vn+1

A:

Q: Find a formula for each function graphed in Exercises 29. а. b. (1, 1) 2 30. а. b. 2 0 30 (2, 1) 2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: For the function f(x) = 5x² 2x, evaluate and simplif f(x+h)-f(x) h 11

A: f(x)=5x2-2x hence f(x+h)=5x+h2-2x+hf(x+h)=5x2+5h2+10xh-2x-2h

Q: Consider the following limit statement: lim (9x-3) 15 x → 2 Find the corresponding value of 6 when &…

A: givenlimx→39x-3=15

Q: Find the general form of f if f'(x) = 5f(x).

A:

Q: The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000 + 90x - x2/3 . Find…

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

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy² + 2y)dx + (2y³ + 2x²y +…

A:

Q: Consider the function f(x)=eXx. Select all that apply. Select 3 correct answer(s) f(0) is positive.…

A:

Q: Given the plane л: 2x + y - 3z - 2 = 0, and the lines l₁: 2 - Z-4 y-1 x+1 x==¹=24 and ₂: *1 = y…

A: (b) Given two lines l1: 2-x=y-12=z-43 write it in standard form…

Q: A pizza can be ordered with three choices of size small,medium, or large, four choices of crust…

A: Given data:- There are three sizes, Small, Medium, and Large. They give four choices,  thin, thick,…

Q: Explain how to find a particular term in a binomial expansion without having to write out the entire…

A: Binomial expansion is to expand and write the terms which are equal to the natural number exponent…

Q: Prove that every Cauchy sequence is bounded. Attach File

A:

Q: Select all of the following graphs which are one-to-one functions. 0 0 Ay 1-4 -3 A -2 -3 -5 -4 -3 -2…

A:

Q: 2. y=x+c₁e* + C₂е¯x

A: Given :y=x+c1ex+c2e-x

Q: Problems: 1.(x³ + xy² − y)dx + (y³ + x²y + x)dy = 0 2. (ex siny + ey)dx - (xe-y-e* cosy)dy = 0

A:

Q: (c) Let y = (In x)2. Compute y' by using logarithmic differentiation.

A: The given function y=ln x2x We have to find the derivative of y using logarithm differentiation.

Q: A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the…

A: NOTE: Refresh your page if you can't see any equations. .   (height is increasing at a rate of 2…

Q: Given lim f(x) = -5 and lim g(x) = -12, evaluate lim [5f(x)-2g(x)]. X→ 11 X-11 X→ 11 O lim…

A: Given that: limx→11f(x)=-5, limx→11g(x)=-12

Q: For the graph of the linear function f1x2 = mx + b, m isthe and b is the .

A: Given, fx=mx+b

Q: Telephone numbers in the United States begin with three-digit area codes followed by seven-digit…

A: Given: Number of digits in area code = 3 Number of digits in  local telephone number = 7 Total…

Q: 1. y' + ytanx = COSX; y(x) = (x + c)cosx; y(π) = 0

A: y'+ytanx=cosxy(π)=0proove that  solution isy(x)=(x+c)cosx

Q: Find the equation of the plane through the point (3, -3,0) that is tangent to the surface xy² + 3ye²…

A:

Q: 5₁ 4 2 7777 Find Find 7/2 Q The graph of the function f(x) = sec x is given above for the interval x…

A:

Q: a. Graph the functions ƒ(x) = x/2 and g(x) = 1 + (4/x)together to identify the values of x for…

A: Given:-f(x)=x2g(x)=1+4x

Q: (b) Let y = (2x + 1) cos. Compute by using logarithmi dy dx

A:

Q: 55. Differentiate each trigonometric identity to obtain a new (or familiar) identity. sin x cos x…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: In this problem you will calculate the area between f(x) = x² and the x-axis over the interval [3,…

A: a) ∆x=b-an

Q: (a) If y=f(x) = 7e²+3x² - 20x-5, find the derivative f '(x).

A: given that,   y=f(x)=7ex+3x4-20x-5,   find the derivative of f(x)? formula:   ddx(xn)=nxn-1

Q: Exercises  tell how many units and in what directions the graphsof the given equations are to be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2. 8[][

A: The objective of the question is checking the convergence or divergence of the given series.

Q: f(x)= (ln x)^3 f'(x)=

A: Given, f(x)= (ln x)^3

Q: Evaluate the integral π/ 10 S 3cos 5t sin 5t dt. 0

A: Please see the below picture for detailed solution.

Q: The variable interest rate on a student loan changes eachJuly 1 based on the bank prime loan rate.…

A: Given for the years 1992–2007, The rate can be approximated by the model r(x)=−0.115x2+1.183x+5.623…

Q: 23. The accompanying figure shows the graph of y = -x² shifted to two new positions. Write equations…

A: Given: The figure shows the graph of y=-x2 shifted to two new positions. To write the equations of…

Q: Question 26 Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 when x =…

A:

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for - 00. 32x 3 - 6x (a) lim 16 (b)…

A:

Q: 9. Determine the convergence of the following series using the ratio test. If the ration test is…

A: Ratio Test