2. Make up a differential equation of the form dy dt that has the function y(t) = e²t = 2yt+g(y) as a solution.

Q: 13. f(x)2(x-4Xx+3y³ a. b. C. lim x-2+ f(x) = f(x) =

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Q: .24. Use the definition of derivative to show the derivative of f(x)=√x is f'(x) 3/1²* [Use the fact…

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Q: (1³7). (a) If Q is the point (x, sin(¹37)), find the slope of the secant line PQ (correct to four…

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Q: elimination 1 x³y 4- of arbitrary constant 16x² 3 کرا +30C =0

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Q: Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is…

A: Given problem:- Bioavailability is a term that refers to the fraction of an antibiotic dose taken…

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: 28. The function f is continuous on the interval [3, 11] with some of its values given in the table…

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Q: The family of circles with center on the line y = 3. A B Ⓒ D 1+ (y − 3) y ''+ (y') ²=0 1+ (y - 3)…

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Q: lim x→0 (sin 4x/ sin 6x)

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Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

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Q: Question Find the area bounded by y + y³ = x and y = . Submit your answer in fractional form.…

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

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Q: wn is bounded by the line y = − 5x + 4, - -axis and the y-axis. y X

A: we will find the area.

Q: 20. f(x) = sin a for a < 0 cos x for 0≤x≤ ³T tanx for 37 < x < 2π for 27 < x < 5 cot a Let f be the…

A: A piecewise continuous function is continuous on a given interval in its domain if the function…

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

A: Need to eliminate the arbitrary constant c.

Q: Solve for A. 3 REHB 8 “1881-

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Q: Question Find the area, in square units, of the region bounded on the left by the line g(x) = 2x +…

A: The objective of the question is determine the area bounded by the given function.

Q: 14. Which of the following statements is true? The volume of the solid formed by rotating the region…

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Q: Consider the given function shown on he graph. Identify three values of x at which f(x) is…

A: Topic:- function and limits and continuity

Q: utility with a TABLE feature. Use the table to determine at which point the graph of Y₂ crosses the…

A: Topic:- calculus

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 all critical numbers of each function: a) f(x) = [x^1/5]  b) f(x) = 4/1+[x^2]

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Q: Graph and find the domain and range for y= sin²x + 1

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Q: Write 11 Stan¹¹ iftan x dx in terms of 9 tan x dx

A: The integration of tan11x write in terms of tan9x.

Q: у=х+5 6х

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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: 380. lim (x + 1) ¹/x x → 0

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Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

Q: 7. Let f(x)=64x² ln (2x) −16x¹. Findƒ(e)-f(€) 2

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

Q: f(x) = y 9 8 7 6 5 4 3 2 x + 5 J 5 6 7 8 X 1 2 3 4 Describe the interval(s) on which the function is…

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Q: Solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has…

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Q: #8) x=y²-8 No need to integrate any of the setup below. a) Only give the setup with respect to "dx"…

A: Here we have to find the area of shaded region..

Q: A There is no correct answer from among the given choices. differential equation by separation of…

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Q: 3. Consider f(x) = Inx and g(x)= ex. Determine (fog)(x) and (gof) Simplify your answer. a) (fog)(x)…

A: Topic:- function

Q: Need this in complete and handwritten solution, thank you! Find the Differential Equation of the…

A: We have to find the differential equation of the Family of Ellipses with its center at the origin.

Q: Show that the equation represents a circle by rewriting it in standard form. x2 + y2 − 8x + 10y +…

A: Given: x2 + y2 − 8x + 10y + 25 = 0

Q: Consider the following. See Examples 1, 2, 3, 4, and 5. x²-4 x+2 f(x) = X = y 10 * X 5 10 -10 -5 -10…

A: given graph of f(x)=x2-4x+2

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

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Q: Evaluating a Function Evaluate the difference quotient and simplify the result f(x) = x² - 7x + 3 0…

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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: 2. y' ysecx

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Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

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Q: If A = 1=1 ²₁₂ 21₁B =[ ²¹/₂ 3 b) B.A c) A-2B a) 3A-C 3] -2 = [3²5] 4J and C= Find:

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Q: Suppose f(x) and f'(x) have the following values. -7 -6 -5 -4 -3 4 -9 1 9 2 6 x f(x) -2 f'(x) 1 -2 3…

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Q: (1) When sugar is dissolved in water, the amount A that remains undissolved after t minutes…

A: We have to find the time taken for half of sugar to dissolve.

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

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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: Sketch the graph of the following function. List the coordinates of where extrema or points of…

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

Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

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