(x +3)² dx x + 3 Evaluate %3D +9 In(¤ + 3) – 6(x + 3) × (Don't forget to include the constant 2 of antidifferentiation C)

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Q: derivatives

A: Please refer to the image below

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A: Given; A=πr2 r=22.

Q: 2x + 8 If f(x) = find: 4x + 5 f'(x) = f'(5) = %3D

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Q: In each of the following problems verify that the given function satisfies the given homogeneous dif...

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Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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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: On a circle with a circumference of 38 cm, the arc intercepted an 100° central angle. Find the arc l...

A: Given : circle with a circumference of 38 cm the arc intercepted an 100° central angle

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Q: 31-35 fx) = - 2x+4 [-2,2]

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Q: dy 2y + .2 x´ - 4 (x+2)² x² – 4 dx

A: Given:dydx+2yx2-4=(x+2)2x2-4  

Q: 1 [ (2 -y - VE) dy 2 – y – 0. 1 | (2-y (2 – y – V9) dy 0, 2 | (x² – (2 – æ)) dæ - 2 [ (2² – (2 – a))...

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Q: Solve the given differential equation. x?y" – 3xy' – 7y = 0 y(x) = %3D ,x > 0

A: Given differential equation x2y''-3xy'-7y=0

Q: Determine whether the series converges using the limit comparison test.

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Q: d/dx[(x² + 5)(x³ - 7) = 5x4 -15x² + 14x Select one: O True O False 1 + A)xp/p Select one: O True O F...

A: Explanation of the answer is as follows

Q: SuPpose that15,000 is invested in a savings account that earns i) Find an expression for the amaunt ...

A: $15,000 is invested in a savings account that earns 4% interest, compounded quartely.

Q: -7 3 11 →5

A: Given:      A function is a specific type of relation in which each input value has one and only one...

Q: Question 13. What is the value of the limit ty2 lim along the path x = 0? (x.y)(0,0) x2 + y (а) —1 (...

A: Topic = Limits

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....

Q: Find the exact value of each expression (enter answers in radians). sec-1(2/sqrt(3)

A: let x=sec-123secx=231cosx=23Taking reciprocal on both sidecosx=32   we know thatcosπ6=32  ⇒π6=cos-13...

Q: Y = (7x³ + 3)6 ;y"

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

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Q: 2x

A: To evaluate: ∫ln e2x dx Now, note that ln e2x=2xln e=2x(1)=2x

Q: Evaluate the Limit. Do not use L'Hopital's Rule (bx? — а) - lim (а — х)(b + х) х>0о -

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A: We can find and justify the answer as below.

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Q: e Evaluate the integral -dx. You may need to do the appropriate substitution first. x3

A: See the details solution in below

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: ion 3 The exponential distribution is a probability distribution that describes the time needed for ...

A: Since you have asked a question with multiple parts in a single request, we would be answering only ...

Q: A. Complete the table of values to find the following, if they exist. (1 – 5) 2x+1 lim X2 x-3 X f(x)

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Q: y = V(4x + 3)³

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given: y=5, y=x+1, x=0   From the given curves the bounded region is as shown below;

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Q: Evaluate: sin 1 (cos ( ) O sin-(cos () - O sin-(cos ()- O sin (cos ()-- 4. O sin (cos ()) = -

A: All trigonometry ratios  change at π2 and 3π2. In third Quadrant , tangent and cotangent are positiv...

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A: We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f...

Q: What is the slope of the given curve y = 8x

A: Give curve,         y = 8x-3x² at point (2,4)

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A: Given: ft=-t5+3t4-6t3-2t2+60t Note: Since the procedure is missing, we have used the standard proced...

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A: You have to post rest of the question separately......I have not authorised to answered all multiple...

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Q: A ball is launched straight up. The function v(t)=96-32t gives the ball's speed (v) in feet per seco...

A: Given problem:- A ball is launched straight up. The function v(t)=96-32t gives the ball's speed (v) ...

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Determine whether the series converges. 1 k=1 1) To determine whether a given series converges, it i...

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Q: 9. Reduce the following equation to one of the standard forms, classify the surface, then sketch the...

A: General equation of an ellipsoid is given by, (x-p)²/a² +(y-q)²/b² +(z-r)²/c²= 1

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Q: This problem concerns the elliptic cone. Consider the equation x²/a² + y²/b² – z²/c² = 0. (a) Descri...

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

A: The given series is ∑k=1∞kln(k+2)  

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

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