compute the acute angle formed by the asymptotes of the hyperbola x^2-3y^2-8x=14

Q: Prove that:

A: Given, nr=nn-r

Q: Find the derivative of the following function. f(x)=√coth (2x)

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Q: fxe* dx.

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. OC. ev eLny HA O D.y…

A: given    y(x+y+1)dx+x(x+3y+2)dy=0   it is of the form Mdx+Ndy=0   where M=y(x+y+1),    and…

Q: Which of the following equations can be made into a linear differential equation? A. (x² + xy)dy -…

A: To check: Which of the given differential equations is linear?

Q: the following function. y = x³ + 3x² - 9x + 3 ~'(x)..

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Q: ind the limit, if it exists, or type N if it does not ex e√4x²+5y2 lim ,y) →(-2,4)

A: Given query is to find the limit of the expression.

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: Let F(x,y)=3+sqrt(1−y^2). 1. Evaluate F(3,1).F(3,1). Answer: F(3,1)=F(3,1)=  2. What is the range…

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Q: Find the explicit solution of dy/dx=2xy² + 3x²y², y ( 1) = − 1 O 1/y=3-x²-x3 Oy=x²/2+x²³/3-3…

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Q: The partial fraction decomposition of f(x) X - 5 + g(x) x + 5' where 56 x² - 25 can be written in…

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Q: dy What is the IF for solving the linear equation: x dx O O O O A. 3 X2 B. 3x 2 C. 3 -Lnx D. E. 3x e…

A: It is linear differential equation

Q: Evaluate the following integrals: 8 3 S(4 + 3√x) (2x + √x ³) "dx

A: SOLUTION-

Q: Integrate. S2x² sin (12x) dx = +C

A: Given query is to find the integral.

Q: Evaluate

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Q: The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35…

A: Here assume P(t) be the population of world in billions at any time t in years

Q: How long will it take for $1,000 to double if it is invested at 10% annual interest compounded 4…

A: here given data  Principle amount P = $1000 interest rate = 10% compounded 4 time in year

Q: What is a suitable integrating factor that can be used to solve the equation dy x+2y - 4xy - e *…

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Q: present

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Q: 8. Find the limit of f(x) = lim f(x)= 4- 818 (Type a simplified fraction.) lim f(x) = 8118 (Type a…

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Q: b) Find the area of the region described. The region inside the rose r = 2a cos 2β and outside the…

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Q: Which of the following statement is TRUE? O A. An ordinary differential equation (ODE) contains…

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Q: dy What is the IF for solving the linear equation: x + dx OA. O B. O D. O E. 3 N/W X2 C. 3 3x 2 3/2…

A: Topic- differential equations we are given, xdydx+3y2=cos x,x>0wew know thaty'+Py=Q is a form of…

Q: Is the point (3, 12) on the graph of the function f (x) = (x - 12)(x + 2)?

A: Given data:- The given function is, fx=x-12x+2 And the given point is, 3, 12

Q: Which of the equations below is a second order nonlinear differential equation? O B. O A. 2 dy |x²y…

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Q: write law of cosines.

A: Cosine rule:- The Cosine Rule says that the square of the length of any side of a given triangle is…

Q: What is the integrating factor of (1+x)y +2y= 21ax sin.x 1+x

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Q: Which of the following equations can be made into a linear differential equation? OA. (x² + xy)dy -…

A: Option D

Q: Prove that every Cauchy sequence is bounded. Attach File

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

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: degree of polynomial=2zeros x=-2 and x=7

Q: Evaluate the piecewise function at the given values of the independent variable. h(x)= (a) h(3) x² -…

A: The function is given by hx = x2-36x-6if x≠65if x=6 To evaluate: The values of a h3  b h0  c h6

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: 2. Consider the graph of a function. do not need to show any work for this problem. y 5+ 4+ a. 3 2 1…

A: from the graph  we find out removable discontinuity

Q: How long will it take for $1,000 to be worth $2,000 at 6 % interest, compounded continuously? Round…

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Q: Evaluate the integral π/ 10 S 3cos 5t sin 5t dt. 0

A: Please see the below picture for detailed solution.

Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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Q: Let f(x) = 4x + 4 6x + 7 Determine (fof)(x).

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The integrating factor (IF) of the equation y' - 2ycot2x = 1-2xcot2x - 2csc2x

A: Given, y'-2x cot(2x)=1-2x cot(2x)-2 csc2x

Q: Which of the following equations can be made into a linear diff O A. (x² + xy)dy - (lnx - Iny)dx = 0…

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Q: 7. Write a formula for the triple product rule, the derivative of p(x) = f(x) · g(x).h(x)

A: Given query is to apply triple product rule

Q: If F(x) = f(6f(5f(x))), where f(0) = 0 and f'(0) = 1. Find F'(0). F'(0) = Need Help? Submit Answer…

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Q: 01

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Q: Solve the initial value problem y' ○ In (y) + In (1+x²) = ln (2) ○ In (y) = In (1+x²) + ln (2)…

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 OA. 4 OB.…

A: To find the value of C

Q: fies a(t) = −9.8 + mv(t)², where v(t) is velocity, negative since the object is falling, and k is a…

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Q: f f(x) = = f'(x) = 2x² tan x " Find f'(1) 0 find sec x 2x(x + 2 tan(x)) sec(x) B x 0

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Q: Determine the order and degree of the differential equation, 3x dy4 +5x² 3 (d²y) dx² - xy = 0.

A: Determine the Order and Degree of the differential equation.

Q: Use the Binomial Theorem to expand the expression and write the result in simplified form.

A: Given data:- The given expression is, x13-x-133

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

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