Question 16 Eliminate the arbitrary constants of y=c₁e³+₂x4-sin 3x

Q: Let g(x,y,z)=x^3 y^2 z sqrt(14−x−y−z)   1. Evaluate g(1,2,3).g(1,2,3). Answer:…

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Q: (g) Differentiate g(x) = V/1-x².cos-¹ (√) (h) Find d de (i) Find [sec (arctan (02))] d [sin -¹(cos…

A: In the given problem, three differentiation are provided. We have to differentiate each. To get the…

Q: 111 Solve for the actual solution of y''' = 2x + 1 when y(2) = 1, y'(2) = − 4, y''(2) = 7 X 12 6 X 4…

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Q: t is the object's velocity when t=6? far has the object traveled in 6 hours? n is the object…

A: Topic:- application of derivatives and algebra

Q: Determine the solution of the differential equation: (3tanx-2cosy)sec²x dx + tan x siny dy = 0

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB cot2x OC.Lnsin2x D.csc2x OE…

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Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

A: Given query is to find the distance between A and B.

Q: 2. Equations with Homogeneous Coefficients a. (x - 2y)dx + (2x + y)dy = 0

A: Given :x-2ydx+2x+ydy=0

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 | when x = -1 and y…

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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: dy 3y What is the IF for solving the linear equation: x + = dx COSX,x>0

A: The given differential equation, xdydx+3y2=cosx, x>0 We have to find the integrating factor

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

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Q: of Fx) = 5x²-x-2, find the following. f(1) = F-1) = f(a) = f(-a) = fa+1)= 2f(a) = f(2)= R(₂²)= [K]²…

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

Q: f(x) = ln(x), ro= 100, and 2₁ = 105.

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Q: Find the 2nd derivative F(x) = 5e^2x F(x)= 3e^-x + 2e^4x

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Q: Find the limit, if it exists, or type N if it does not exist. 2x² lim (x,y) (0,0) 4x2 + 1y²

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Q: Examine the following graph of a function. 6 4 3 2 1 -3 -2 -1 8 -1 -2 -3 1 IN 3 لا 4 5 6

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Q: Which of the function is not an exact equation of the first order? OA. (ey + ycosx)dx + (xe³ + sinx…

A: See this solution in below.

Q: Se-¹x² dx. е

A: Given query is to find the integral.

Q: In dx.

A: We will find  the required  integral.

Q: Use the definition of the derivative to find the derivative of the function f(x) = 6√/10x tangent…

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Q: The binomial expansion for (a + b)n contains n terms.Determine whether the statement is true or…

A: Given, a+bn

Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D. 4 E. None of the Choices dy dx…

A: Find integrating factor of linear differential equation

Q: Given the vectors à = (2, -1,3), b = PQ where P(1, 1, 1) and Q (5, 1, −1) and Ĉ=i+j+ 3k. Find a)…

A: Given the vectors a→=2, -1, 3, b→=PQ→ where P1, 1, 1 and Q5, 1, -1and c→=i→+j→+3k→.To find 7b→-3c→

Q: Which of the equations below is a second order nonlinear differential equation? O A. 2 ¯\x²y - (1 -…

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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: Use the Binomial Theorem to expand the binomial (3x + y)3 and express the result in simplified form.

A: Consider the given expression. 3x+y3

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: Fill in each blank so that the resulting statement is true.

A: Given, x+25

Q: The city of Raleigh has 6400 registered voters. There are two candidates for city council in an…

A: Given :- Total registered voters=6400 Total telephone poll voters=500 Total voters to vote Brown=214

Q: 164. A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of…

A: NOTE: Refresh your page if you can't see any equations. . the population(in thousand) of the town…

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. B ev eLny B O D.y E. None…

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Q: 1. Given that lim f(x) = −1 and lim g(x) = 8, find the following limits. x-3 (a) lim (2g(x)-4f(x))…

A: This question can be solved using the concept of limits.

Q: Solve for the value of C in the equation: dy - (y + xy5) dx = 0 when y(0) = 1 O A. 1/4 O B. 1/2 O C.…

A: First we will integrate the given differential equation and then find the value of C at given…

Q: 1 † (OM - ON) - M . If OA es OB. U O D. e-5 ys ly = then what is the integrating factor?

A: Key points: Consider the differential equation M dx + N dy = 0. If this equation is not exact, then…

Q: Which of the following equations is NOT an exact equation? OA. (2x sin y + y)dx + (x² cos y + x)dy =…

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

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Q: Prove that:

A: Given, nr=nn-r

Q: The Cartesian coordinates of a point are given. (a) (b) (4,-4) (i) Find polar coordinates (r, 0) of…

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Q: Show that__(csc(x)) = -csc(x) cot(x). dx

A: We have to show that ddxcscx=-cscx cotx

Q: 18

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Q: Frequency A 1 5 Class width= 9 Based on the histogram above, what is the class width? 13 17 21 25…

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Q: 5. Logarithmic Differentiation Method dy (a) Let y = x. Compute by using logarithmic…

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Q: Perform the indicated matrix operation, if possible. - 2x+2y -5x + y - 10x + 8y 4x-3y 4x-7y 2x 3y-3x…

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Q: the space curve (t) = (2t, t², 2t)

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Q: The degree of homogeneity of the function f(x, y) = (x² - 4y²)-¹/² O A. 1 B.-1 O C. -1/2 D. None of…

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Q: •√√cos Evaluate cos x sin³ x dx. + C

A: Given query is to find the value of the integral.

Q: Use the vertex  (h,k)  and a point on the graph  (x,y)  to find the general form of the equation of…

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Q: 4x3-10x2+9

A: Given :4x3-10x2+9

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x −y)dy = 0? None…

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