d²y dy +y=1²-2t +3 4- dt? dt

Q: A woman standing on a cliff is watching a motor boat as the boat approaches the shoreline directly b...

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Q: Solve the given differential equation x2y" + xy' – y = In x y(x) =

A: Given: x2y''+xy'-y=ln xAsnwer: y(x)=c1 x+c2x-ln xUsing Cauchy's Euler method:Substitute  x=et; x>...

Q: Calculate the integral. (Express numbers in exact form. Use symbolic notation and fractions where ne...

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Q: - (つチ:O47unyzut C. the 91-で Letc yintercepts, pUO'gt 3tUl-人 the horizontal osymptotes, DUコ ちさ

A: Let's find. 

Q: Find the maximum or minimum value of the function. f(x) = 3x2 − 6x − 100=   Is this a maximum or ...

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Q: Let g be a differentiable function such that g (4) = 0.325 and g' (x) = e- (cos()). What is the valu...

A: Solution: g(4)=0.325   (Given) g'(x)=1xe-xcosx100

Q: 4. At Grande Anse Beach the height of the water in metres is O onainTEbigoT modelled by the function...

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Q: 1.0 8

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Q: Find the average rate of change for f(x)=10x2+8xf(x)=10x2+8x over the interval [2,7][2,7]. Be sure t...

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Q: 13. Write down a function f (x) that satisfics f'(x) = 3x2 + 2x – sin r + sec? x.

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Q: (e* + y)dx + ( 2+ x + ye )dy =0

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Q: To test this series for convergence n2 + 1 n=1 n' + 6 You could use the Limit Comparison Test, compa...

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Q: 4 Let f(x) = 4x + x2 given by y = mx + b for . Then the equation of the tangent line to the graph of...

A: We know that if m is slope and (x1,y1) is point on line the equation of line is given as-  (y - y1 )...

Q: Y = logio (x? + 9) %3D

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Q: хуdx — (2x? + у?)dy — 0

A: Follow the procedure given below.

Q: Exercise 3.2. 1. Verify each differentiation formula d -u (a) [Arccos(u)] = dx V1-u2 (b)[Arccot(u)] ...

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Q: (OS B 1- tane 1-cotb

A: Given :∫cosθ1-tanθ+sinθ1-cotθdθ  

Q: A type of sugar in the blood, also known as glucose, which is one of the major sources of energy, is...

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Q: If 0° < 0S 360°, find all the angle measures of 0 that makes sec 0 = -V2 and Ssc e = V2.

A: Given,           secθ=-2 and cscθ=2To find : The measures of all angle, θ.

Q: 3x+4 lim 2e x→-1

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Q: Discuss the continuity of the function: x² + 2x-4 x -2

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Q: day tidket for a for children as least G than 13 years old, A day tickei for Students at least 3 tha...

A: f(x) is the cost of ticket (in dollar) and x is the age of children (in years). x is the input and f...

Q: 2 4 6 f (x)| -22 -6 2 f' (x) 10 6 2 -2 Selected values of the twice-differentiable function f and it...

A: To determine:

Q: If sinh(x) = 35 =, find the values of the other hyperbolic functions at x. %3D cosh(x) tanh(x) csch(...

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Q: (0, 1) (0,0) (1,0) FIGURE 0.1. The triangle T of the problem. Consider the triangle T with vertices ...

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Q: A solid wooden object tumed on a lathe has a length of 50 cm and diameters (measured in cm) shown in...

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Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)   (f−g)(7)=(f...

A: The functions are f(x)=x2-2x   &amp;    g(x)=3-x2

Q: The base of a 10-ft ladder leaning against a wall begins to slide away from the wall. At the instant...

A: Given:          From the above figure     dxdt=6 ft/sec

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: Top two are the identities of anti-derivative. I have solved the last one properly and wrote the dir...

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: A graphing calculator is recommended Use a graph to find a number 8 such that 3 < 8, then cos?(x) - ...

A: Given that: cos2x-34&lt;0.15 We have to find δ such that, x-π6&lt;δ.  

Q: () 2. Use the Squeeze Theorem to evaluate lim r COS

A: Given problem:-

Q: If we are told that f'(5) = 6 evaluate h'(0) where h(1) = f(5 cos r + x² + 2x).

A: Given function h(x)=f(5cosx+x7+2x)  

Q: (3y²-x² ()y' -=0 ;when x = 1, y = 1 2y4

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Q: find the equation of the tangent line and normal line to the ff. curves at the indicated point.

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Q: The furnace in a home consumes heating oil during a particular month at a rate modeled by the functi...

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Q: sin 4xdx = 2(sinx)? -2Csinx)4 tC %3D

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Q: Q2) Plot, on the same figure, sine and cosine graph for x from 380 degrees to 986 degrees with a ste...

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Q: Suppose f (x, y, z) =D 를+끝, P= (1,2,4). A. Find the gradient of f. Vf * i+ j+ k Note: Your answers s...

A: Given :f(x,y,z)=xy+yz, P=(1,2,4)To find :  The gradient of f and the maximum rate of change of fat t...

Q: SOve the inequality x²34-10 LO X-4 using the test-point method. Express your answer in interlai nota...

A: x2-3x-10x-4&lt;0⇒x+2x-5x-4&lt;0⇒x&lt;-2  or   4&lt;x&lt;5⇒Solution:  x&lt;-2  or   4&lt;x&lt;5  Inte...

Q: 100 500 2500 20 Given the series 9 81 729 6561 Does this series converge or diverge? O converges O d...

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Q: 2. (x- ブメッテルーョ fx 3.

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Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom...

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Q: b. ) Finding an interest rate: Suppose you invest J$ 150,000 in a special 5 year savings account wit...

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Q: 3. Suppose we are told 1 lim Determine the value of the number c.

A: Follow the procedure given below.

Q: Evaluate the indefinite integral ²v cos vdv = %3D + C

A: As we know that; The trigonometric identity: sin2x+cos2x=1 The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; ...

Q: y 6- 5 4. 3+ 2 1 1 3 4 5 6. 7 Graph of g The figure above shows the graph of the differentiable func...

A: Graph of G is given.We need to find the value of a by using the given conditions.Below find the deta...

Q: Please help! Find y^’’ by implicit differentiation. a) 5x^2+y^2=4 b) 5x^3+4y^3=1 c) x^2+7y^2=7

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Q: To test this series for convergence n4 + 3 n=1 1 where p= You could use the Limit Comparison Test, c...

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Q: d/dx(x2 + 3x + 5) = 2x + 3 %3D Select one: O True O False

A: As per company guidelines we can solve first question. I hope that the given solution will help you....