Find the solution of the given DE. 1. y' + y = xy(1) = 0, x

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

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Q: Solve the problem. For some reason the quality of production decreases as the year progresses at a…

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Q: Let f and g be functions such that f(8) = 24, ƒ'(8) = 5, ƒ(24) = 16, f'(24) = −6, g(24) = -29,…

A: Given values are f8=24, f'8=5, f24=16, f'24=-6, g24=-29, g'24=-10,g(16)=-27, g'16=55 we need to find…

Q: 2 Find the exact area of the region bounded by the curves y = 4x² - 8x+12 and y=3x²-3x+12. Answer in…

A: The region is bounded by the curves y=4x2-8x+12 and y=3x2-3x+12 We have to area of the region…

Q: For this discussion post, I will ask you to sketch some graphs that meet a limit condition and…

A: To be found - Sketch of different functions with given conditions. Topic - Function, limits &…

Q: #1 Cπ/2 ST 0 (8 + 4 cos x) dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Consider the following functions. f(x) = ²/₁ g(x) = 3x + 12 Find (fog)(x).

A: Given: f(x)=3x       gx=3x+12

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: (How?) (34) =(x)5

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Q: Find the area of the shaded region. 4 3 2 f(x)=x- 8x +21x, g(x)= -14x + 136

A: We can find the area of the shaded region using the required formula in the below steps.

Q: 4. Let In = f cos" xdx. Show that: In = 1 - Cos' n on-1 x sin x + n-¹ In-2, n ≥2. n

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Q: The cost function of producing x items is C(x) = 4x² - 12x + 500. a) Find the marginal cost function…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: f(x) = 3x² + 5√x - 10x²³²³+7³ -3 -3

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Q: Comet Mario-2009 moves along an ellipse with equation 42² +16y²-640 (shown below) -10-04 47 Lo foot…

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Q: x² x where a = b = Consider the indefinite integral x¹ + 25x² Then the integrand has partial…

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Q: At what points is the function y= x+3 2 xỉ - 5x+6 continuous? Describe the set of x-values where the…

A: We can find the x-values where the function is continuous in the below steps.

Q: Find the average rate of change of the function over the given interval. f(t) = 13 + cost a. T, b.…

A: The given function is; f(t)=13+cost a) [- pi, - pi/2] b) [0,2pi].

Q: Set up and evaluate the definite integral required to find the area of the region between the graph…

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Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

Q: y = sin x 1+ tan x

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Q: f f(x) I = 1 √3x + 1 f(3+h)-f(3) h find and simplify the quantity |

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Q: If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: Find the area of the parallelogram determined by v = (2,0,0) and w = (0,-1,-4). (Use symbolic…

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Q: Please kindly explain the steps and the answers are not clear. Can't really tell what's going on.…

A: Let's solve for function.

Q: 34. If f is the function defined by f(x) = (A) 0 (B) (C) / (D) nonexistent O A О в О с O D ²+x-6…

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Q: Question 9 Find the slope of the line that is tangent to the graph of f(x) (E) None of the choices 2…

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Q: Find the limit. X+1 lim 2 x-1x + 5x +4 X+1 lim 2 x-1x + 5x +4 (Type an integer or a simplified…

A: We have to find the limit  limx→-1 x+1x2+5x+4.

Q: The weekly demand for Xbox Math-Hero video games is given by p= x³ 180x + 1250 where x is the number…

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Q: Evaluate the definite integral. e 3 S²₁ dt = dt = 2

A: Evaluate the definite integral  ∫2e3tdt

Q: П Find the length of the curve y = In (2 sec x) from 0≤x≤6 Set up the integral that gives the length…

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Q: K Suppose that lim f(x) = 13 and lim g(x) = - 10. Find the following limits. X-6 X-6 a. lim…

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Q: (b) Find (f ¹)'(1) if f(x) = x² +5 sin " + cos2. (TTX) (X)

A: Solution to find the value of derivative of inverse of f(x) at x = 1 is as follow

Q: Find the LT of each of the following and use inverse LT to bring back the original function. a. y=ex…

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Q: Use the graph of y = ex and transformations to sketch the exponential function f(x)= ex-2. Determine…

A: Given function:- y=ex Transformed function fx=ex-2

Q: Solve the problem. Find an equation for the least squares line representing weight, in pounds, as a…

A: Solution: We can directly use here Excel for regression, Step1) Enter data in Excel.

Q: + + 22. (1+ ln x) dx + (1 + ln y) dy = 0. 23. xdx −/ ² ・x² dy = 0₁ P). ANS. x ln x + y ln y = c.…

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Q: Find the derivative. y= (2x+5)^3/ (x+4)^2

A: y=2x+53x+42

Q: If f(x) = (sin(x) S 4 + t dt and g(y) = = [ f(x). f(x) dx, find g^(1). 6

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Q: Given that g'(x) = 21x²-17 and g(2) = 23, find g(x). g(x) =

A: Solution:-

Q: The temperature T at a point (x, y) is T(x, y) and is measured using the Celsius scale. A fly crawls…

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Q: The general solution of the Differential Equation (2x-y²)dx-2x(y²-x+y)dy=0 is -xe2Y(x+y2)=C

A: To determine whether the following statement is true or false.The general solution of the…

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

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Q: Find the explicit solution of y'= 2x 1 + 2y -:y (2)=0

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Q: Determine whether the points lie on a straight line. (a) A(2, 6, 1), B(3, 10, -1), C(1, 4, 2) O Yes,…

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Q: 20. j(x) = [(sin 3x)³ +5x]²_j'(x) =

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Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (3, 14).…

A: givenarea of region 1 is=26

Q: 3. Use grad h(-3,4)=5ī +3j and h(-3,4)=10 to answer the following questions. a) Find the…

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Q: Calculate the third derivative of y(x) = (4x² + 2) (5x³+3) (Use symbolic notation and fractions…

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Q: Question 1 | Let R(x) = x38x² + 12x X-2 A. Write R(x) in simplest form. C B. Sketch the graph of…

A: Given R(x)=x3-8x2+12xx-2

Q: 2 Find the average value of the function f(x)=x²-5 on [0,3]. The average value of the function…

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