Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

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A: Here we will find the functions,

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A: Here, let h be the height, l be the length and w be the width of the box. Then given that height, is…

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Q: Choose any 5 of the following problems to complete. Solve the problem by following the procedure for…

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Q: 11. The position of a particle as it moves horizontally is described by the given equation S=sint -…

A: Here, the displacement function is given by: s=sin t-cos t, 0≤t≤2π Now, to find the maximum and…

Q: dy find .2. 4 If y= 2x+ at x= 1. dx dy at x = 1 is The value of (Simplify your answer.)

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Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: 1.) Use the Limit Comparison Test to determine if the series converges or diverges. 1 sin().

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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Q: In spherical coordinates equation for the paraboloid z = 2- x - y is p(cos o- psin? $) = 2 Select…

A: We have to find out  spherical coordinate

Q: POS jma- 3 d 1 sin t dt %3| dx 1 1 (A) – x sin(x²) (B) sin(x²) (C) x sin(x²) (D) –sin(x²) ов O O O O

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Q: lim x+0 v25 + 8x – 5

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Q: 3. Find the derivative of each of the following functions. Justify your answer. I sin z (a) f(x) =…

A: As we know that; The Product rule: f·g'=f'·g+f·g' The Chain rule: fgx'=f'gx·g'x   And…

Q: Find the local maximum and minimum values and saddle point(s) of the function. (for saddle points,…

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Q: For the function f(x) given below, evaluate lim f(r) and lim f(x). -2+3e 6e + 4 f(z) If the function…

A: We have to find out the limit

Q: dx x² – 2x + 2 = dy

A: Given:      dxdy=x2-2x+2⇒dy=dx x2-2x+2Integrating both sides,⇒∫dy=∫dx x2-2x+2⇒y=∫1x-12+1dxLet u=x-1.…

Q: The function f(x) = 6(x – 5)²/3 increasing on the interval and is decreasing on the interval The…

A: f(x)=6(x-5)23

Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

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Q: I sin x O S(z) %3D COS

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Tutorial Exercise Determine whether the series is convergent on Š1+ 10" n=1 Step 1 The series 1 +…

A: To solve the following problem

Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: (a) Evaluate the double integral.

A: answer is in next step

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A: Solving

Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: Evaluate the function f(x)=- 3.7521n x at x = 4. Round to 3 decimal places. (You may use your…

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Q: Approximate the area under the curve 4=メ Right Endpoint from x=3 to メニの USing approximation with 6…

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Q: 4. (3a* +23a +10a -21a+58)÷(a+7)

A: Given that,    3a4+23a3+10a2-21a+58÷a+7

Q: 2 32 |for 1st<3. length of the curve c(t) =| In t,-t"

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Q: Assume that all constants are positive and not equal to 1. 7" = 6 Hint

A: Given query is to find write the expression in logarithmic form.

Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

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Q: The graph of f(r) is given below and F(z) = -2 Find F(4)- a) O 12 b) 06 3 c) O d) O e) 09

A: The given data is: The graph of fx is given below and Fx=∫0xftdt    To find the value of F4

Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: 4x* -1 +5x°+2x² 3 X+1

A: topic - long division of polynomials

Q: seco SI sin 20 dp dộ dên o Jo

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Q: Mark the critical points on the following graph. z°e-, 17 153 136 119 102 85 68 51 34 17 Clear All…

A: Here we have to mark the critical points on the given graph.

Q: Find the partial sum for the firs 4, 10, 16, 22, ... い +6 +6

A: Sequence

Q: (a) L is the line with equations x =1+2t, y=2+3t, z=3+t. P is the point (2, 3, 2). Find the…

A: Given that L is the line with equation x=1+2t,y=2+3t,z=3+t. P is the point (2,3,2).

Q: Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

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Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

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Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative

Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

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Q: )Lim. 2. H-HCOSX-2Sin x

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Q: Consider the function f(x) = 6x? – 10x + 8, 0 < x < 9. The absolute maximum of f(x) (on the given…

A: Explained below

Q: Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

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Q: 0/11 3 Question 1 of 11, Step 1 of 1 Correct Consider the function f(x) = -x' + 5 on the interval…

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