(2cot 2x² - 2e²) dx A. 1/cot 2x³ + 2e²+ C 2

Q: 1. Eliminate the arbitrary constant. y² = 4C (x + C) 2. Obtain the general solution. (Let 2C=C) (4x…

A: As per policy only first question is answered. Please refer to the image below

Q: QY == Given f(x) = (hog|(x), and f(1) = 2/'`(1) 9 (²) = g(1) f = - Find (gof) (1) in simplest form :

A: Given- Given fx = h∘gx, and f1 = 2f'1 = g1 = -g'1 To find- Find g∘f'1 in simplest form.

Q: Non-exacr or first order linear DE

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Q: A V(t) = -1,700t + 32,000; value after 5 years = $23,500

A:

Q: In Exercises 13-22, find equations of the tangent plane and normal line to the graph of the given…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: y(4)-8y" + 16y=0

A: To solve the differential equation

Q: Using the definition of a derivative, find s'(x) given s(x) = -x² - 2x + 3. Do not include s'(x) in…

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Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

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Q: Evaluate the following Limits: 3√√x6+8 4x²+√3x4+1 1. lim x-00 2. lim X48 3. lim X-4 1 1 1+ 2x…

A: note : as per our company guidelines, only one question can be solved. kindly post other question as…

Q: Question Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is…

A: Here we have to find the volume of a region when revolved about y axis.

Q: Determine r'(x) if r(x) = (4*)6. Select the correct answer below: Or'(x) = 6(4*) 5 Or'(x) = 46x (4ln…

A: Solve the following

Q: Prove that: B(x+1; y ) + B (x,y+1)= B(x,y) let (x + 1) = X(X)

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Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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Q: 3. Using the following table, find the average rate of change from x = 2 to 11 X f(x) -1 -4 2 4 4 8…

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Q: The side of a cube is 11 m with a possible error of 0.02 m. Use differentials to approximate the…

A: Given that the side of the cube is s=11 m with possible error =0.02 mSolution :volume of the cube…

Q: Question = 2 and v(y) Define as the region bounded by the functions u(y) around the y-axis, what is…

A: We need to find volume.

Q: Which of the following equation is a variable separable DE? 1. (x+x2y)=dy=(2x+xy2)dx…

A: Ode

Q: find the Laplace transform of the given function f(t) = 20 cos(mt) (3<t<6)

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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: Use the spreadsheet to answer the following questions. 83 123 45 A 45848 Answer: 47 37 94 76 60 B ✓…

A: We can solve the given question as follows:

Q: Find the following limit. 1 x+6 Provide your answer below: 1 3 lim x--3 x + 3 Give your answer as a…

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Q: Question The base formed by slicing through the center of a solid S is the ellipse+ = 1. The cross…

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Q: 12. Simplify with the goal in mind to cancel the h that is in the denominator. -1 -1 2(x+h)² 2x²…

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Q: Q2: Find dy/dx for the following functions:- (2) y = √sinh √tan x (3) 4x² + 3xy-xy² = 0

A: Given:- 2) y=sinhtanx 3) 4x2+3xy-xy2=0 To find:- dydx of given functions

Q: if f(x) = x² √In x² x . find the derivative of this function f'(x A. f'(x) = B. f'(x) = c. f'(x) =…

A:

Q: Which of the following equations is NOT a variable separable differential equation? A B C D (xy -…

A: We have to choose the equation which is not a variable separable differential equation.

Q: Relative change is the ratio of the amount of change to the original amount. In this case, this…

A: To find out the relative change in the average household income from 2008 to 2018.

Q: Use the spreadsheet to answer the following questions. 83 AENT 4 5 A 47 37 94 76 60 B Answer: 3 82…

A:

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: Test for homogeneity 3. f(x, y) = tanx - sec²x - cosy 4. f(x, y): x²+3xy

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Q: Prove the identity. sin (x-y) cosx cosy tan.x - tany Note that each Statement must be based on a…

A: We can prove the given statement as per the example in the below steps.

Q: To find the root of the equation x² - 3 = 0 using the fixed point method in [1,2], one of the…

A: Find the root of equation x^2-3=0 Using fixed point method

Q: Change the following integral to polar coordinates and evaluate: 4-x² [2² 0 x² + y² dy dx Sketo

A: To convert Cartesian coordinates into polar coordinates we use the following transformation, x=rcosθ…

Q: C. Find the DE of a family of circles with center at (1, -2). Hint: Equation of circle with center…

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Q: What is the summation form of the Maclaurin series for 1/(sqrt(1-x2))? Hint: Find the first few…

A: Solution:

Q: Find the differential equations for each family of curves under the following conditions: c)…

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Q: Ső 1 x²+7x+10 dx

A:

Q: 55. + -3 -2 -1 2 O -1 y -2 1 2 3 Graph of f' Let f be a differentiable function with f(1) = 3. The…

A: Let f be a differentiable function with f1=3. The graph of f', the derivative of f, is shown below.…

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

A:

Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

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Q: Solve (xy + 4a²y)dy = √(xy-5a³ + ax - 5a²y)dx

A:

Q: 3. Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) = 2,…

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

Q: 020) In H.G., if AABC~ AA'B'C' (similar)and AB-12, BC=14, AC=16. Then the perimeter of AA'B'C' is:…

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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: 5-4 TIME FOR A LUMP SUM TO DOUBLE. If you deposit money today in an account that pays 4% annual…

A: On solving this we will get

Q: Q4: Solve the following integrals:- dx ³-2x² (1) dx (2) √ √2√9-1² (3) fx² sinxdx (cos-14x)² 1-16x²…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: 3. 3.) (гуч 7 3ху - 2ytox) art (хочу -) бусо

A: See the details solution in below

Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

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

A: Find out the particular solution.

Q: √ ¹ (1+√x)3 √x - dx

A: