Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = = 9 √x square units

Q: calculate all four second partial derivatives for the function f(x,y)=xe^-3y +sin (2x-5y)

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Q: Differentiate. y' = y = e(p + pvp)

A: The given function is .The aim is to find the derivative of the given function.

Q: Question 9 Student Enrollment The enrollment at a local business school has been decreasing…

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Q: The following graph shows the function ƒ(z) - 2+√, and the line that is tangent to the curve off at…

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Q: Find the inverse Laplace transform of F(s) = = f(t) = 4s² - 11s +1 (s − 1)³

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Q: What are the projections of the point (10,8,-2) on the coordinate planes? On the xy-plane: ( On the…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Graph the equation r=1-2 sin 30. Choose the correct graph below. OA. Ay B. HTT Aу TENN TEXN Q O C.…

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Q: Consider the differential equation. y' 4t Y -;_y(0) = yo ve the differential equation and determine…

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Q: Solve the following problems and write it on a piece of paper, do not type it and AND DO NOT GET…

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Q: he function f is defined as follows. Complete parts (a) to (d) below. x + 3 f(x) = 7 -x+ 2 if - 2 1…

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Q: Which of the following represent the derivative of the function f at the input x = a? Select all…

A: The definitions of a derivative of a function f at x = a are given below

Q: Determine the size of the matrix. 21 H -4 -1 05 X

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Q: In Problems 25-30, answer the questions about each function. 25. f(x)= = 3x² + x - 2 (a) Is the…

A: According to bartleby guidelines we are supposed to do the first three sub-parts of multiple…

Q: dy 312 dx = y sin x

A: Given the differential equations3) And 7)  Find the general solution

Q: wrong answer

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

Q: 3 The slope of the tangent line to the curve y = b is: 3 (1, 2) 5: is: The equation of this tangent…

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Q: (a) lim x48 +50). 1+ Evaluate the following limits. 3x² + 10x 1 9 - 4x² (b) lim x118 -

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (9…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞, and DNE if the limit does…

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Q: 14. Are the functions continuous on the given interval? 7 (a) f(x) = 3 x € [1,7] and (b) g(x)=2x²-₁,…

A: For a function to be continuous on a given domain D, the function need to have finite values for…

Q: f(x, y) = x² - 4xy + 5 R = {(x, y): 1 ≤ x ≤ 4,0 ≤ y ≤ 2} absolute maximum absolute minimum (x, y, z)…

A: Absolute maximum : It is the maximum value of the function within the given region.Absolute minimum…

Q: The slope of the tangent line to the parabola y = 3x² - 2x + 3 at the point where x = 5 is: The…

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Q: How far away he is from the lamp post (60 ft) is irrelevant?? I have looked at other websites also,…

A: Distance of man from Lamp post  is irrelevant for the given question.

Q: Consider the graph of f below Determine the following limits: d. lim f(x) x-1- e. lim f(x) x →1+ -6…

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Q: Please

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Q: dy dx = √x − y, y(2) = 2

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Q: Let h be the function given below. On which of the following intervals is h continuous? You may not…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A: Find the parametric equation for the tangent line to the curve

Q: Find the values of a and b that make f continuous everywhere. 1 -- f(x) = x² - 4 X-2 ax² - bx + 3…

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Q: 9. At a seaport, the depth of the water, h meters, at time ₺ hours, during a certain day is (t - 7)…

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Q: 1) ƒ (x,y) = 2xy = = (x++y4) + 1

A: As per the guidelines I am supposed to solve one question at a time. Please repost the other…

Q: Find the Laplace Transform of the function f(t) = te¯t by evaluating the integral -t F(s) foto e 0…

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Q: Q4! Please answ

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Q: Question 10 The table below gives the annual sales (in millions of dollars per year) of a produc…

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Q: The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage)…

A: Solution-Now we will calculate partial derivative,

Q: e4x + 2e -7x -7x +4e¹ lim I ∞ e ||

A: To evaluate the following limit.

Q: Find the angle of inclination Ø of the tangent plane to the surface at the given point. (Round the…

A: The  given function The angle of inclination  with tangent plane

Q: Question 1 If lim f (x) = 7, which of the following must be true? I. fis continuous at x = 3 II. fis…

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Q: Determine the critical point of the function and use the critical studied to classify it(s) as a…

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Q: What is the average rate of change of y with respect to x over the interval [-5,-3] for the function…

A: Here we will solve it by using the formula of the average rate of change

Q: TT 2. The region is bounded by y = sin x and y = cos x between x = and x = 9πt 4

A: Question no. (2):Given:The region is bounded by To Find:(a) To draw the region.(b) To set up an…

Q: Consider the function g(x) = Evaluate the following limits a. lim g(x) x--1- b. lim g(x) x--1+ c.…

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Q: 01- (71^^5 + (71, A²/2 + (7) A = √ylt] = Laplace transform to volve y²107 = 5 vje 0=1015 +1

A: given differential equation solve using Laplace transform method

Q: Find the derivative of the function. y = 7(6 - x²)6 Step 1 Apply the general power rule which states…

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Q: Estimate the instantaneous rate of change of f(t) = = 3 t+5 at the point t = 2 Your answer should be…

A: The given function .The aim is to find the instantaneous rate of change of  at the point .

Q: f(x) = Let f be the function defined above. Which of the following statements about fare true? I.…

A: Here we will use Right and left hand limit concept to solve these questions

Q: -5-4 -3 -2 -1 ƒ'(−2) = 2 X 5 4 3 ƒ'(−3) = 3 X 2 1 -1 -2 -3 -4 -5+ Use the graph of f(x) above to…

A: As we know The slope of a tangent line passes through points

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: 27 4 What are the equations of the asymptotes for the function y = tan - where 0≤x≤2

A: y=tan⁡2π4x where 0≤x≤2