Evaluate the following limit: lim O O O 6x²+17x-3 lim x→∞ 5x²+14x-3 6x²+17x-3 lim x→∞ 5x²+14x-3 6x²+17x-3 lim x-∞ 5x²+14x-3 -8 6x²+17x-3 lim x-∞ 5x²+14x-3 6x²+17x-3 x-∞ 5x²+14x-3 I 6/5 65 ==

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: A central angle in a circle of radius 8 is subtended by an arc oflength 10pai. Find the angle’s…

A: Given: Length of arc, l=10π units Radius , r=8 units To find the central angle’s radian and degree…

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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Q: 7x - 4 3 – – 4x 4x² dx

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Q: 15. Evaluate each expression using the given table of values: -2 -1 1 f(x) 1 0 -2 1 2 g(x) -1 b.…

A: To use the table of values for finding the values of given function.

Q: 01

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Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? |…

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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: Se-¹x² dx. е

A: Given query is to find the integral.

Q: At t = 0, a train approaching a station begins decelerating from a speed of 104 mi/hr according to…

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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: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Given, dy/dt = 5t4-3et+2 And conditions y= 1  and t=-2

Q: 23. The accompanying figure shows the graph of y = -x² shifted to two new positions. Write equations…

A: Given: The figure shows the graph of y=-x2 shifted to two new positions. To write the equations of…

Q: If y=f(x)=7e^x + 3x^4 - 20x - 5, Find the equation of the

A: Using derivative first find slope m,

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. O A. y"-3y' = 0 3y" - y'…

A: Topic-differential equations We are given,y=c1+c2e3xWe know thatddxeax=aeax

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: X lim x0√1 + 8x - 1 ||

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Q: 38. Critical Thinking How many students receive each grade? Each student receives a grade of A, B,…

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Q: Another model for a growth function for a limited population is given by the Gompertz function,…

A: The givne growth function for the limited population is dpdt=clnkpp…

Q: Sketch the region bounded by the curve x² - 2 = y and the line x = y + 2 and find the volume of 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: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4e³ − x²y² – 3x)dy = 0 when…

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Q: Which of the following is a non-homogeneous function? O tan³y/x xLnx − xlny x³ − xy + y² 3 2 - (y² +…

A: function f(x, y), if it can be written  by writing x = kx, and y = ky to form a new function f(kx,…

Q: Evaluate the following integral using trigonometric substitution. S dx (x²-36) 3/2 " X>6

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Q: If f(x) = 2x(sin x + cos x), find f'(x) = 2x cos(x) - 2x sin(x) + 2 sin(x) + 2 cos(x) f'(4) = |

A: To find f'(4)

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

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Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 7t2 + 6t   (a) Find…

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Q: If f (x) = x2 - 2x, find f (a + 1) and f (a + 2).

A: Given fucnction, fx=x2-2x

Q: Suppose f f(x) dx = 25, f f(x) dx = 10, f g(x) dx = 10 and h(x) = 0 3 the following: a. (5f(x) 6g(x)…

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

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Q: 0 PERTA C 2000 A television camera at ground level is 2000 feet away from the launchin to take off…

A: Let distance between camera and rocket =s ft

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: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB. cot2x OC.Lnsin2x OD. CsC2x OE.…

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Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

A: By using synthetic division method the solution of given problem is as follow

Q: Evaluate the following integral. z+7 z(z²+9) dz

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Q: The graph of f(x) below has a hole when x=_ and y=

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

A: Exact differential equation A first order differential equation M(x,y)dx+N(x,y)dy=0 is called an…

Q: Evaluate the following integral using trigonometric substitution. x² 441-x² S dx

A: ∫x2441-x2dx

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Your option is incorrect or may be last option correct . But my solution is correct .

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: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 8% with…

A: The amount $4000 payable at the end of 4 years, the money invested at 8% with interest compounded…

Q: Problem 1. Is the following true or false? Justify your choice. 4x (x − 1)(x + 3)' Bx + C x + 3 To…

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Q: 3 x dx + 5x² (4²5) ³ - dy4 Determine the order and degree of the differential equation, 3x - xy = 0.

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

Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 10t2 + 32t − 230…

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Q: Solve for the value of C in the equation: dx +ycotx = 5ecosx when y (-₁) = 1

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Q: Find the general solution of y" =2x+ sinx + e*

A: Topic- Differential equations We are given that, y''=2x+sin x+ex We know that,…

Q: Graph the function and observe where it is discontinuous. f(x, y) = e¹/(x - y) f is discontinuous at…

A: The given function is fx,y=e1x-y The graph of the function is as follows.

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: List the intercepts and test for symmetry: y2 = x + 4

A: Given data:- The given equation,y2 =x+4

Q: Find the particular solution of each of the following. (4+sine)y'=e*(6soc² e* - ycose); y(ln x) =…

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