True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

Q: 5. Find the area bounded by the curves y = x2 – 2x and y = 5x. Give exact answer.

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Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squar...

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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: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

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Q: cos2x - sin2x cos2x For dr==F(x)+c What is F(x)? COSx - sinx O (cscx- secx) 3 2 2. sinx +-cos'x+cosx...

A: Given:          ∫cos2x-sin2xcos2xcosx-sinxdx=13Fx+C      =∫cos2x-sin2xcos2xcosx-sinxdx   Expanding t...

Q: 7. y = tan e3x + etan3x

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Q: Given cost and price​ (demand) functions C(q)=110q+44,000 and p(q)=−1.9q+890​, what is the maximum r...

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Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: 8. y = In(x + V +1)

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Q: Evaluate the integral. Answers should be expressed as an integer (no decimals), no spaces, no units....

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Q: Q4) Find the Asymptotes of the following functions: x³ – 4x² - 1) y x² – 2 x² – 4 2) f(x) : %3D x² –...

A: Solution is given below

Q: In (r? – 3) + e?-² at the 1. Find an equation of the tangent line to the graph of y = point (2, 1).

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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: Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the first 10100 bottles o...

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Q: =[in(4-x cos (r4

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

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Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−2q+890​, what is the maximum pro...

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (b) If the...

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Q: I Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, d...

A: maximize the function

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

A: given 

Q: 6) yo Do° (7C +2)"

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Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for...

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

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Q: (1x) +3 . Is-3 Check the continuity of f(x) ={-2x , -3 <x< 3 12 3 (6x + 2 ,

A: Here we have to check the continuity of the given function f(x).

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: Find your answer below 

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: In (n/e) S(2- sec?x) m® sec³x -dx What should be the value of A for to be integrable using the formu...

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Q: Find the indefinite integrals: 15/2 + 4x + 1 a) rp- b) 6t" + + xe' ) dt

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Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

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: 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: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin x-...

A: topic - double derivative of a function

Q: 3. Let V, W and U be finite dimensional vector spaces. Suppose S: V W andT:WU are linear. Show (a) n...

A: 3. Let V, W and U be finite dimensional vector spaces. Suppose S : V→W and T :W→U are linear. Show(a...

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

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Q: The expression below is an evaluation of which integral? * 1 6 2æ + 2 In|æ| 2 In|æ – 3|+c | 523 + 62...

A: Using partial fraction. 

Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

A: Draw a schematic diagram of given question.

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: 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: 4. Determine the directional derivatives of $(x, y) = tan"2+3 sin ). at the point (1,1) in the direc...

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

A: Find first derivative and get the stationary points then find local minima and local maxima.

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: ·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).

Q: 0. Reliability of Computer Chips The percentage of a certain brand of computer chips that will fail ...

A: We have an expression: P(t)= 100(1-e-0.1t)

Q: ((2- sec?r) ela (ale) sec³x sec(3A – x) What should be the value of A for -dr to be integrable using...

A: We need to find the value of A such that the integral written below is integrable using the formula ...

Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams we...

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Q: Which of the following is an improper integral? -dr -4 x² – x – 2 In(x++ 1) dr dx 2 2x + 8 In3e COSK...

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Q: 1) Which set of values for x should be tested to determine the possible zeros of the function f (x) ...

A: We need to find possible x values that needs to be checked where function is zero.   NOTE - As per B...

Q: 5. y = XArctanx - In Vi+x

A: