eliminating arbitrary constant y= C1 cos 2x + C2 sin 2x

Q: Q2. (a) Find the gradient vector Vf (e, 1) where f(x, y) = y ln(xy). (b) Find the directional…

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Q: For the function f(x) = 5x² + 4x, evaluate and simplify the difference quotient. f(x+h)-f(x) h 11

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: a/the derivative of the following function is y=x²-sin x

A: Solution )  y = x2 - sin x  Differentiate with respect to x  dy/dx = d/dx( x2) - d/dx ( sin x )  […

Q: Integral Calculus. Answer step-by-step.

A: Here we have to integrate the given function.

Q: (b) 8x³+6x2-3x-1=0

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Q: 7. Use the Ratio Test to show that R = √3. n=0 x 2n 3n has radius of convergence

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Q: Find the domain and range of the function: f(x) = 3x, f(x) = 6x, −7 ≤ x ≤ 2, f(x) = 6x2…

A: Find the domain and range of the function.

Q: Question 8. Use the factor and remainder theorem to find the roots of this equation, f(x) = x³…

A: Given f(x)=x3+3x2-x-3

Q: Why does the upper limit go from π/2 to 1?

A: Let's solve for upper limit.

Q: n= 1 (2n)!

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Q: According to the Consumer Expenditure Survey, the average American household spent $7,923 on food in…

A: Given:- Total average American household spent $7923 on food in 2018 About 25 amount was spent on…

Q: 0=8-1号-25号+ex (2)

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Q: What is the order of the differential equation x²dy/dx - 2xy"=0?? A 1 B 3 с 2 D 4

A: Order of a differential equation is the highest order derivative present in the equation.

Q: B -2 C -1 2 -1 O -1 -2+ Graph of f' Let f be a differentiable function with f(1) = -2. The graph of…

A: Given that a function f is differentiable and f(1)=-2.  Also the graph of first derivative of the…

Q: 5 y 2 AV -6-4-2 2 4 67 10 -2 -3 -4 Consider the function Y 13 4 f(x) -2 if x + 4 if 2x + 1 if -2x+6…

A: Find :- We have to find the graph when x is approching xo =8.2 from the right and also value of yo…

Q: 10. Find the area bounded by the curve y = 2x² and the lines y = 0, y = x, x = 2.

A: Let's find area bounded by the curve.

Q: 20) f In x x√4 lnx-1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Use integration by parts to find the following: [(t+ 7)e²²+3 dt = | 2t+3 t=+C

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Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x.

A: Topic = Area

Q: Find the general solution of the differential equation y(i) + 2y ''' —y" – 2y'=0.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Using the equations below, what is the value of Y, C, T? -0.2 Y + T = 20 -0.6 Y+ C = 70 Y C = 30

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Q: 20. 198 14 n4 + 2 +2 n=0

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Q: Determine the total differential dH of the function: H(x,y,z) = x^y+z

A: Given, H(x,y,z) = x^y+z

Q: question 9. y" + 20y' + 64y = 60e-4x answer 9. y = e-4x (5x + C₁) + C₂e-16 -16x

A: Topic:- application of integration and solution of differential equations

Q: Q14 The value of lime The domain of f(x)= Q15 In(1-x²) is A) (-1,1) B)(1,0) C) (-∞,-1) D) (-1) U (1)

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Q: Let y = f(x) = 2x² + 7x. Find the slope s(h) of the secant line of the graph of y = f(x) passing…

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Q: The graph represents the sales S (in millions of dollars) for Fossil from 2007 through 2013, where t…

A: Solution: Given graph,

Q: 5 2arcsec(e) +5 3 2arcsec(e*) √e²x-1

A: Given that a integration and we solve this integration by using general property of integration. We…

Q: Let f be the function given by f (x) = cos x - csc x. What is the value of f' (1) ? f' (1) is…

A: Finding f'(x)

Q: What is the auxiliary equation associated with the differential equation y'' - 3y"'+4y=0? A n³-3m²=0…

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Q: 26. M8 n=1 (-5)" (x-3)" n2

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Q: B Which of the following is an example of a discrete variable? Oheight Oreaction time number of…

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Q: Σ k=0 k k + 10 Η

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Q: 5. 0= n n!

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Q: What is the order of the differential equation x²dy/dx-2xy"=0?? A) 3 B) 1 2 D) 4

A: Given differential equation is: x2dydx-2xy''=0   The order of a differential equation is the order…

Q: A. Solve f(D)y=0, where f(D)= D(D² - 1)²(D − 1)³. B. Find L{3e-10t - cosht+t(6/3).

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Q: Q3 Q4 The sequence A) increasing The value - ing 1) strictly increasing D) eventually strictly…

A: We need to choose correct option.

Q: 5) w(n) = -2n - 2; Find w(9)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 18 f(x) = x + 2x -1.find (fY(-1) A) S B) 2 앞 -IN

A: I have appended the formula used in solution part.

Q: Sketch the graph of the function by first making a table of val f(x) = 3 + √x x 0 1 4 9 16 25 f(x) =…

A: Given: f(x)= 3+√x

Q: x² +1/x² = 34 , find the value of x⁴ + 1/x

A: Square the given expression

Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x²2x.

A: First we find point of intersection of two given graph, y=x3-4x                           (1)y=x2+2x…

Q: 4-3/x lim X→+* 2+5/x

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Q: : Solve the following first-order differential equation 2x³y' = y(y² + 3x²).

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Q: the previous first question is an error. the square root x is supposed to be next to the two not…

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Q: 45° IIDII=23

A: To Find: the component form of vector with magnitude and angle

Q: y = ax²; xy' - 2y = 0

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Q: Let X= the time between two successive arrivals at the drive-up window of a local bank. If X has an…

A: Here we have given that x be the time between two successive arrivals at the drive up window  Now ,…

Q: The following are indeterminate forms except Olim (²-x)/x 1104 lim cos 2x lim lim In(cos 2x)

A: Here we have to choose the correct option.

Q: I need the correct answer for all of them please.

A: Here we have to find the local and absolute extrema.