. The standard form of the first order linear differential equation x y'+xy +2 = 0 is,

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: ratio test 

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) – sec(0) s...

A:

Q: Find the radius of convergence and the interval of convergence. (x – 3)*

A: Solution is written in below steps.

Q: Given: (-8, 6) cote = -3/4 O 4/3

A: Find your answer below 

Q: Find the domain of the function H(x) = 2x +3/x3-4x Solve the following (i) |10 - 3x | 13.

A: The given function,  H(x)=2x+3x3-4x Note:    Multiple questions are given, we are answer only one qu...

Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 9 – 19t y(t) = 38t + 21 (a...

A:

Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π/4)=

A:

Q: Sz(t) = t³ ly(t) = t2 а. S#(t) = t cos(t) b. ly(t) = t sin(t) Jz(t) = t² l y(t) = t² с. S z(t) = t³ ...

A:

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Topic:- application of derivatives

Q: Given A=-3ay +2ax +4az, B=3az -2ay + 5ax and C=-3ax +4az +5ay. Find a. A+2B-C and b. I 2A-3B+C I.

A: Given A=2ax-3ay+4azB=5ax-2ay+3azC=-3ax+5ay+4azA+2B-C=2ax-3ay+4az+10ax-4ay+6az--3ax+5ay+4az          ...

Q: Determine whether the series converges. Σ 1 k=1 2k – 1 The series converges. The series diverges.

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Q: x = -1 if y=u° +5u – 4 a

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Q: A large hotel chain needs to apportion 30 new surfboards for its visitors to rent among three hotels...

A: Given:   Total surfboards = 30 The distribution of surfboards is according to the number of rooms i...

Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.

Q: The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into co...

A:

Q: Assume that a rectangle with sides x and y is changing with time. Let y = 2x and x(t)=t^2 What is t...

A: Given query is to find the rate of change of area.

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) ta...

A:

Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

A:

Q: Find the derivative of the trigonometric function. f(t) = t° sin(t)

A: To find the derivative of the following problem

Q: Given f(x)-3X+l evaluate (f'o f(s)) 1-SUEJEC

A: Given: f(x) = 3x+1 For (a), Let y=3x+1.Replace x by y,    x=3y+1⇒y=x-13 So, we get f-1(x)=x-13. Now,...

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINE...

A: topic- trigonometric ratios

Q: assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt. W...

A: assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt. Wh...

Q: graph the folloring f un Ction %3D

A:

Q: Consider the curve y = V 2x – x² where 0 < x < 2. -

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Q: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming th...

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Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

A:

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = –4, f'(0) = 13, f"(0) = 14,...

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Q: Q9

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Q: solve using Firs Order Linear Differential Equation

A: Topic:- differential equations

Q: c) Determine if y=x tan (x) satisfy dy _ y _ y sec?(r) = 0 when yLu-0=0

A: Put value in equation for satisfied

Q: The Statue of Liberty is 305.5 feet high. When the angle of elevation of the sun is 50, what is the ...

A: Solved below

Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

A:

Q: Find dY at x = -1ifY zu%5V=4 3. and u= X²+ X

A: Given that y=u3+5u-4 and u=x2+x We need to find dydx at x=-1 Take y=u3+5u-4 Substitute "u"  ⇒y=(x2+x...

Q: For the following function, a) give the coordinates of any critical points and classify each point a...

A:

Q: Find the derivative of the function at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +...

A: To find the derivative of the function  g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of u=3i+4j=&lt;...

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) 19...

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve, for – x(t) = 100 tan² t y(t) = – ...

A: We are a parametric equation of curve as follow: x(t) =100 tan2t  y(t) = - 12sect Where -π/2 &lt; t ...

Q: Find the length of latus rectum of the curve x² – 6x + 12y – 51 = 0.  a. 12 b. 13 c. 14 d. 15

A: The given equation is;  x² – 6x + 12y – 51 = 0. 

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle betwee...

A: 1) (1,2,3) and (1,0,0) angle cosθ = A*B/[A][B]            cosθ = (1,2,3)*(1,0,0)/(12 + 22 +32)(12 + ...

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: Use sigma notation to write the Taylor series about x = xo for the function. 10 In x; xo = 1 k =

A:

Q: y = /x+ /x

A: We will use algebraic techniques to find the derivative.

Q: Determine whether the series converges. k 2 In(k + 3) k=1 O The series diverges. O The series conver...

A:

Q: 1. Let E be the surface in R3 given by z = e-*-y where x2 + y² < 4, oriented with the upward normal....

A:

Q: How much work is required to lift a 900-kg satellite to an altitude of 3· 106 m above the surface of...

A: This question can be solved using the concept of change of gravitational potential energy.

Q: Determine whether the series converges or diverges. In(k) Σ k k = 1 converges O diverges

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Q: VT(y – 3) where 1< y < 2.

A: the given curve,   x=13y y-3 where 1≤y≤2

Q: Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, and ...

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A:

Q: 15 10 -6 -5 -4 -2 12 3 4 5 6 -5 10 -15 Determine the equation of the polynomial, f(2), of minimum de...

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