DETERMINE WHETHER THE SEQUENCES ARE INCREASING, DECREASING, MONOTONIC. IF INCREASING, EUTER I AS YOUR ANSWER DECREASING, ENTER D AS YOUR AUSWER. NOT MONOTONIC ENTER N YOUR ANSWER. OR NOT IF 1. An AS = 2. An= √n +3 lon +3 3. An = 4. An = Cos n 3n n-3 n+3 3n+6

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: To determine the given equation is linear or non linear.

Q: √3 4 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: 17. x1 - 3x2 + 2x3 - 4x4 = = 0 2x1 - 5x2 + 7x3 − 3x4 = 0

A:

Q: 0 -3 5 1 0 1 0 6-58 0 -1 -1 3 4 -2 0

A: The given determinant is

Q: Solve the following differential equations using HOMOGENEOUS DE. Show your complete solutions. 2.…

A: To solve the following differential equation by using Homogeneous DE.

Q: =D x. 19

A:

Q: 1. If y2 = 10x, then A. - 5 2xy 1 C. -2232 2x d² y dx2 = B. D. - 1 5x 2y 5xy 2

A: Given,

Q: If what are the bounds of integration for the first integral? a= 11 [ f(a)d= = [ f(x) dx + " f dx […

A:

Q: an = 2n + 5 245) 4n+1

A: First, let's consider the limit of the sequence as n approaches…

Q: Find the square root of 7225 with the modern method

A: A number's square root is a value that, when multiplied by itself, returns the original number.

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

A:

Q: Evaluate the integral by converting to polar coordinates. 2 √8-y2 S² S Y 1 √1+x² + y² dx dy= = 16pi

A:

Q: For y = f(x) = 7x², find f(x₁+AX)-f(x₁) Ax || f(x₁ +Ax) -f(x₁) Ax given x₁ = 5 and Ax=2.

A:

Q: 3. Consider the curve which is the graph of the equation r³+y³ - 3xy = 0. Graph this curve using…

A: In this question, we will find the implicit derivative.

Q: f(x)=x²8x² + 5

A: f(x)=x4−8x2+5

Q: Consider the integral approximation T20 of fo 2e-4 dx. Does T20 overestimate or underestimate the…

A: Here And Now,         ..........(1)

Q: 2. Is the series convergent or divergent? n=1 1 n² +5n+4

A:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A:

Q: 1) fx²e-³x dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: The temperature at a point  (x, y)  is  T(x, y),  measured in degrees Celsius. A bug crawls so…

A:

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A: Radius = 60cmdr/dt = 0.01 cm/min.

Q: дz əs at дz ди II || II z= x4+x²y, дz дz dz дя' де' ди x = s + 2t - u, y = stu²; when s = 2, t = 5,…

A:

Q: Consider the following. Find y'(x). y'(x) = y = X = X x² +9 Find the critical numbers of y(x).…

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Q: f(x) = x³ - 27x + 8

A: f(x)=x3−27x+8

Q: 2. Use Calculus to find all local extrema of the function g(x)=x√3-x.

A:

Q: 7. 10 Consider the function f and the point Po given below. Find a unit vector u in the direction in…

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Q: find the derivative  y=4x^2

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Q: Find the domain of the function. X-5 X+9 f(x)=

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Q: (a) Find the differential dy. y = ex/2 dy = (b) Evaluate dy for the given values of x and dx. x = 0,…

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Q: Evaluate the definite integral by interpreting it in terms of areas. 7 (3x - 18)dx 3

A: To evaluate the following definite integral by interpreting  in terms of areas.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. tan(5x…

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Q: y = xer

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Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x - 5 on the domain x2 +…

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Q: Solve 2(cos2x)y' + ysin(2x) = 4cos4x 0 =< x < pi/2

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Q: Consider the following differential equation to be solved by the method of unde y" + 2y = -18x²e2x…

A:

Q: The edge of a cube was found to be 11 cm with a possible error in measurement of 0.81 cm. Use…

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Q: Find the area of the region enclosed by y=4.75x and x = 9 - y². 2 on 5 6 7 00 a Use horizontal…

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Q: c) On the cartesian plane below, put a point where the following coordinates are. a) A (-5, 4) m i…

A: Consider the figure

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Q: 2. a. C. Determine the critical number(s) for the following functions. f(x) = 17-6x + 12x²…

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Q: Consider the following differential equation to be solved by the method of undetermined…

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Q: b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

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Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

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Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. √20 maximum value…

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Q: 1. Solve dy_3-x-y x + y €1 dx 11

A:

Q: The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of…

A: Please solve the given problem using the concept of derivatives.

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: