Determine which is the pure time differential equation, which is the autonomous differential and which differential equation is neither autonomous or pure time. Show how you solved it.

Q: If 2x ≤ g(x) ≤ x^4 - x^2 + 2 for all x, evaluate lim x → 1 g(x) using the squeeze theorem

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Q: < The productivity of a certain country with the utilization of x units of labor and y units of…

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Q: 9. Let f(x) = 4x² - 2x, 2 √3x- x - 6, 2, Find a) f(-1) b) f(3) c) f (8) d) f(1) e) f (6) x ≤ 1 1<x<…

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Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height…

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Q: Find the first six terms of the recursive sequence. a₁ = 1, an+1 = 3 - an a₁ a2 = a3 = a4 = a5 = a6…

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Q: 393. lim x → xl/x 0+

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Q: Simplify: 3√2 + √32

A: Given.

Q: A- Find (1) asymptotes for the following functions: x²-1 x²+2 (2) x³+x²-x-3 x²-1 x²-4 (1) f(x) =…

A: Note: Since, the student has posted four sub-parts with numbering (1) and (2). We are considering…

Q: Can you go into more detail? Why is the answer (4n+1)pi/2?

A: We want to find domain of the function.

Q: 2) Write the equation in logarithmic form 343/3 = 7 a)log,=343 b) log, 343-7 c) log 343=7 3) The a)…

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Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: x/4 11. evaluate sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

A: ∫0π4secxdx

Q: OE OF OA OB Ос OD The only horizontal asymptote of f(x) = A)y=0 E) y = In (3) B) y = 1 F) None In…

A: To determine the only horizontal asymptote of fx=lnxx.

Q: 14. Evaluate to 4 decimal places: csc 153°

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Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given: 645  036  00-4

Q: Determine the equation of the hypotenuse of the triangle using the given coordinate system…

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Q: question 5. (D² + 4D + 4)y=0, x= 0: y = 1, y' = -1 answer 5. y = e 2x (x + 1)

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Find a2 and a3 for geometric sequence 8, a2, a3, 27

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Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

Q: If f(x) = (cos(√) - In (x²))³, then f'(x) = 3

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Q: The relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in feet…

A: Given the relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in…

Q: Solve the differential equation 4. xdx e-x + (Y+) dy y³

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Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

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Q: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

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Q: y(x) = c₁e* + c₂e-x + 4sin(x)

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Q: Question Calculate the area, in square units, of the region bounded on the right by the line g(x) =…

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Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

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Q: Solve the following linear system by Gaussian elimination. X1 = X2 11 x3 = and X1 + 4x2 + 2x3 = 12…

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Q: Evaluate the integral: ³√1 + 100x² da

A: Need to find out the integration.

Q: 13. Find the area of the region bounded by the graphs of y = x, y = -x + 8, and y = 0

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Q: Find the solution of the given initial value problem. cost Y(T) = 0, t5 y(t): = y' + 5 t> 0

A: Given problem:- y'+5ty=costt5 , yπ=0

Q: In 1995, 76 women were enrolled in chemistry at a certain high school while 165 men were enrolled.…

A: To find out the percentage of women who are taking chemistry.

Q: Please find attached

A: To sketch the graph of the equation given.

Q: question 7. x + 128x + 96x = 0 answer 7. x = C₁e(-64+20√10)t + C₂e(-64-20√10)t

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Q: Find x such that the matrix is singular. 4-[94] A

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Q: For the function f(x) = 6x² *, evaluate and fully simplify each of the following. f(x + h) =…

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Q: Solve the following differential equation x² (y² +3) = 0 y(x³ +1) dy 3. + dx 4. xdx e-x + (y+1)dy =…

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Q: elimination of arbitrary constant хзуч- 16x2 уб +30c Fo

A: Need to eliminate the arbitrary constant c.

Q: Define R as the region that is bounded by the graph of the function f(x) = 1-2, the z-axis, a = -1,…

A: Given problem:- Define R as the region that is bounded by the graph of the function ⇒fx=1-x22the…

Q: 2x усха=<,ex + Czerx + зе + 3х. у сол=а, ў' сог=0

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Q: 3.Find the differential equations for each familyof curves under the following conditions:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 14. f(x)= a. b. C. d. lim 2--1+ f(x)= lim lim lim 3(x-3)²(x+4) lim f(x) = f(x) =

A: see below the answer and explanation

Q: Use the graph to find the limit. See Examples 1 and 2. (a) lim f(x) x-1 (b) lim f(x) X-4 y (1, -3) y…

A: Graph of the function is given, we have to find the limit at given points.

Q: Question Consider the region, R, bounded on the left by the line g(x) = 4x + 4, on the right by the…

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