Eliminate the arbitrary constants of y=ce*+₂4-sin3x

Q: Write the first three terms in binomial expansion (x + 3)8, expressing the result in simplified…

A: Given: The given expression is:  (x + 3)8 Formula Used: The formula of Binomial expansion is: (a+b)n…

Q: find the function that is finally graphed after each of the following transformations is applied to…

A: Concept: Graphing  Shift up 2 units: The function is added with 2 units Reflect about the y-axis:…

Q: Which of the following is NOT true about the linearity of differential equations? O A. Which of the…

A: Given query is to find the incorrect statment for liner differential equations.

Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

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Q: Explain how to use mathematical induction to prove that a statement is true for every positive…

A: Mathematical Induction is a technique for proving certain types of mathematical statements.

Q: 7 of 10 Consider the ellipsoid x² + y² + 4z² = 41. Find the acute angle that the tangent plane at…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

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Q: 3x Obtain the differential equation whose general solution is y = C₁ + c₂e³x.

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Q: A. For each of the following, indicate the dependent and independent variables, classify as an…

A: Given Independent variable = t Dependent variable

Q: Which of the equations below is a second order nonlinear differenti A. 2 |x²y - (1 - dx)² = e ²x B.…

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Q: Solve triangle ABC. (Round your answers to one decimal place.) LA = LB = LC=

A: From given diagram, a=34, b=12, c=36

Q: Complete the tables, and graph the corresponding ordered pairs. Draw the line defined by the points…

A: Given :- Y = 3x/5 -1 Now drawing the graph of the equation i.e.,

Q: Find the area of the triangle with vertices P(1,5,-3), Q(0, 0, 0) and R(4, 6, 1). NOTE: Enter the…

A: To find the area of the triangle with vertices P1, 5, -3, Q0, 0, 0, and R4, 6, 1.

Q: ce / √5³² + 25 de -dx Integrate X3 + C

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Q: Which of the following is a non-homogeneous function? tan³y/x xLnx − xLny - xy + y² (y² + v²)3/2 43…

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Q: n Provide an example with your Explain how to evaluate explanation.

A: Given, nr

Q: what is cubic functions ?

A: Function:- A relation between a set of inputs and outputs is known as a function. To put it simply,…

Q: graph each function using the techniques of shifting, compressing, stretching, and/or reflecting.…

A: Given, fx=-2x

Q: Give the center, foci, vertices & asymptotes. Sketch the graph y - x = 1 y + x

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Q: Classify the given Differential Equation according to (1) ORDER; (2) DEGREE; (3) TYPE; (4) LINEARITY…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Can you show the solution for #2?

A: Let's solve. 2nd number question already solve, so solve 3rd problem.

Q: For the function f1x2 = x2 , compute the average rate of change: (a) From 1 to 2(b) From 1 to 1.5(c)…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: (x² - 1)(y² - 4) (1,2) (x - 1)(y-2) Find the given limit lim (x,y)

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Q: For #1-8, give the derivative of the function. If not give in function form, use Leibnitz notation.…

A: Since, you have posted a question with multi-parts, we  are supposed to answer only first three…

Q: 1. Given that lim f(x) = -1 and lim g(x) = 8, find the following limits. H-3 →3 f(x)5 +3 (b) lim -3…

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given expression, y=2-x3

Q: 9. A block of ice, in shape of a right circular cone, is melting in such a way that both height h…

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Q: +2u c) Let s(u) = 5e2u³+ + 7 √u³ Compute d.s du

A: Topic:- application of derivatives

Q: What is the partial derivative that verifies (cosx + Iny) dx + (x/y+e') dy as an exact differential…

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Q: Find the equation of the plane containing the points P(3,1,5), Q (-1,-1,-1) and R (-2, 2, 4)

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Q: Determine if f(x) = [-x] - π, csc ¹(3 ln x), |2x²- 5+2| x 2 " if x ≤ 0 if 0 2 is continuous or not…

A: We have to check whether the given function is continious at x = 0 and 2. If the function is…

Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

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Q: Homework 2.8 For #1-4; find f'(x) and give the domain of both f(x) and f'(x) 2. f(x) = √2-x 1. f(x)…

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Q: - Let 3x² + 1 13 10x - 7 ermine if f(x) is continuous at x = 2 by computing limit: f(x) = x 2

A: Given query is to find function is continuous or not on x = 2.

Q: Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. O B. O U ev O D.y O E.…

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Q: Find y'(x). y'(x) = y = √-1 + 2x At what point on the given curve is the tangent line perpendicular…

A: Given query is to find the derivative and the point where slope of tangent is perpendicular to the…

Q: Find numbers a and b, so that f is continuous at every point. 4) f(x) = x -3

A: The function is given by fx = -2,         x<-5ax+b,    -5≤x≤-32,             x>-3 To evaluate:…

Q: Determine the equation of the plane containing the point and the line. (-7, 10,-3), r(t) = (1 - 4t,…

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Q: Find Duf at P. 1 f(x, y) = 3(1 + xy) ³/²; P(5,3); u= NOTE: Enter the exact answer. Duf = i+ 1

A: To find the directional derivative of given function.

Q: 4. Linear Equations a. (y - cos²x) dx + cosxdy =

A: Solution of a linear differential equation of the form y'+P(x)y=Q(x) isy×IF=∫Q(x)×IFdx+C, where…

Q: dy What is the IF for solving the linear equation: x + = C0SX,x >0 dx 2 O O O O A. B. D. E. MIN 3x 2…

A: To find IF

Q: Suppose that f(5) = 1, f'(5) = 7, g(5) = -8, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

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Q: The domain of the piecewise function is (-∞0,00). a. Graph the function. b. Use your graph to…

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Q: Graph the following equations and explain why they are notgraphs of functions of x.a. |x| + |y |= 1…

A: Given data:- (a);  x+y=1 (b); x+y=1

Q: Give the center, foci, vertices & asymptotes. Sketch the graph y - x = 1 y + x

A: Here we have to use the concept of conic sections

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

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Q: COTE - L J

A: Given query is to find indicated derivative.

Q: 15. +4 dy dt dt2 y(0) = 0, + 5y = h(t), y(0) 1. = where h(t)= {0, 1>r/2₁ (1, 0<t<n/2,

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