To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Select one: Ar+B 245z+6 7452+6 A 2+3 B r+2 1 2+5z+6 A 243 r+2 O None of them. A B +5r +6 2+3 742 O O

Q: 8969 2. find 121 detA)? OY

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: 11 11 | 6g (x) – 10f (x) dæ given that f (x) e dæ -7 and g(x) dx - 24. 9.

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Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

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Q: Consider the function f(x) = 4x - 8r on the interval (0, 4]. Find the absolute extrema for the funct...

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Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's hei...

A: This is a problem related to newton's law of motion. By using general formula of motion's we will ca...

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd . 

Q: m m n т +n b. E k i) k - i=0

A: Please see the below picture for detailed solution. 

Q: cos2x- sin2x cos2x For dr=-F(x)+C What is F(x)? COSX sinx 1. (sinx COSX O (cscx x – secx) ³ CSC) cos...

A: We have to find F(x) by indefinite integral

Q: d²x dx + k?x = 0,k is real number; when t = 0,x = 0, = vo. dt dt2 vo sin(kt) ANSWER: X k

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Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: (2- sec?x) " sec(3А — х) e In (a le) sec3x -dx to be integrable using What should be the value of A ...

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Q: dx -= In[F(x)]+C• What is F(/3) if C = 0? For J (x+x³) (x Tan-'x+1) + 6 + -1 +

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Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the p...

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0, t...

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

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Q: 10. f"(t) + 3f'(t) + 2f(t) = 0; ƒ (0) = 1 and f'(0) = 0 %3D %3D

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Q: s, if any, of the given functions. De ion is increasing or decreasing. y = = x' - x

A: We will find the maximum and minimum value. 

Q: (1 point) Evaluate the iterated integral by converting to polar coordinates. NOTE: When typing your ...

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Q: cos2x - sin2x cos2x -dx =-F(x)+C• For What is F(x)? cosx – sinx 2 sinx + -cosx+ cosx + -sinx 3 3 2 s...

A: Using cos(2x) =cos2 (x) - sin2 (x) 

Q: 6. The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on th...

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Q: Evaluate * cos (e + a?) dx 24 +1

A: To find: The integral ∫44cose3x+x2x4+1dx Concept used: ∫aaf(x)dx=0

Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Given problem:- Use the First Derivative Test to find relative (local) maximum points or minimum poi...

Q: cos2x – sin2x cos2x dr%3D 3 For -dx =-F(x) + C- What is F(x)? cosx – sinx (sinx – cosx) 2 2 sinx +-c...

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Q: The expression below is an evaluation of which integral? * 1 2 + 83 In|w| In|u² + 9| +c 18 2+ w4 dw....

A: option 3 is correct, see the solution, please thumbs up, if your doubt is cleared.

Q: In how many ways can John, Leo, and Mike be seated in a row? a. 3 b. 4 c. 5 d. 6

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Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x ...

A: Differentiate with respect to x. 

Q: Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2500q​, what is the minimum marginal​...

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Q: Let P(t) = (x,y) be the terminal point on the unit circle that corresponds to the real number t. Fin...

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Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

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Q: Joey plánted a tree in his yard. At the time of planting the tree was three years old and measured 0...

A: Given data:

Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: To check the convergence of the given series.

Q: 3. Solve for x: (3)*+1 = V3

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Q: y- (6+5t-ビア 3.

A: We can find the derivative using chain rule as below

Q: CHAIN RULE DERIVATIVES Directions: Differentta te the given fanctions gx)-13bc°(56+ 4c t 9)°

A: To differentiate: the function g(x)=131x35b+4c+95 Formula used: Chain rule of differentiation ddx(f(...

Q: dx -= In[F(x)]+C. What is F(/3) For (x+x³) (x Tan-lx+ 1) 3. B.

A: We have to choose the correct option according to the given information

Q: Question 8 d'y =6-9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation o...

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Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

Q: Evaluate 2.014 using a linear approximation or differential. Enter the value rounded to the nearest ...

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Q: company produces a special new type of TV. The company has fixed costs of ​$486,000​, and it costs ​...

A: Given query is to find the price for maximum profit.

Q: Given: The local movie theater offers discount cards for movie. For Php 300, you can purchase a card...

A: Given: The local movie theater offers discount cards for movie. For Php 300, you can purchase a card...

Q: Let f(x)=4x^2lnx f'(e^3)=

A:

Q: 2. Let by = cos and cn = cos for all n e N such that n > 2. Determine whether the given n – 1 series...

A: Using Telescoping series. 

Q: (x+1)' sin x (c) lim- 2x x-0 (d) sinx lim 0 5x 20 +sin e lim (e) 40 бх -sin 2x lim X-0 2x+3sin 4x (f...

A: Using l hospital rule evaluate limit. 

Q: 2+ x², ={ 1 2* +2, 4 -2 <x<0 f(x)dx; f(x) 0<x<4

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Q: 5. Water is pumped out of a horizontal cylinder through an opening at the top. Find the work (in jou...

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Q: CHAIN RULE DERIVATIVES Directions: Defferentiate the given functions. 4) glx) - (Aut - Bu)

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Q: Find the average value of the function f(x) = (1+æ*) over the interval [0, 2]. Select one: O None. O...

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Q: sinx sinx +x cosx - e +e The integral / dx may be written as me"sinx + px + qe* + C. where m, n, p, ...

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Q: ·sec-x)" sec'x 23. What should be the value of A for -dx to be integrable using the formula | u" du?...

A: the integration of the integral is (2-sec2x) eln(pi/e)sec3x/Sec(3A-x).