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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: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: In this question we have to find the solution of the system of the equation using the Gauss-Jordan M...

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

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

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Q: The expression below is an evaluation of which integral? * 6x + 3 ln|æ – 2| – 18 ln|æ + 4| +c 2x2 – ...

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Q: Sx-² csc³ () cot () dx A) csc* (?) + c B) – ; csc° (*) + c c)금 csc* (2) + C D) – csc* () + c - 12 E)...

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Q: In the expression 5 +2 tan(30 + ) = 3 where 0 < 0 < a, then 0 in radians will be i. 36 17z ii. 36 29

A: topic - Inverse trigonometric functions

Q: 10 -dx may be writen as Ala secB" + tanB"| + C where A, B, and C are constants not equal to zero. Ev...

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Q: sin-cos-sino de has the form 2 The resulting integral of -C. What should be the 4 value of 0 to make...

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Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

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

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24 squar...

A: Given y2=4x X=1 and x=4

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft3. If the...

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Q: 2- sec?x)emsec³x sec (3A – x) eln (x/c) What should be the value of A for dx to be integrable using ...

A: To solve the given indefinite integral. 

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

A: Let's find. 

Q: What is the integrable form of / sin-c cos-sin@ do? 2 -2 | sinu du 2 | cosu du 1 – u² du u² – 1 du

A: In this question we have to find Integral form of the given Integral.  

Q: The antiderivative of fx0, denoted by Fix), exhibits an odd symmetry ie., it satisfies the property ...

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Q: sias The integral cost -e de may be written as me' +px+ ge" +C• where m, n, p, q. r, and C are const...

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Q: S What is the integrable form of / sin-cos-sino do? 2 2 (A) 1-u? du B) sinu du -2 V u2-1 du O 2 cosu...

A: We have given integral  I=∫sinθ2cosθ2sinθdθ Using formula  sinθ=sinθ2cosθ2 I=12∫sinθsinθdθ As, sin2θ...

Q: 10* -dx may be written as AlnlsecB*+ tanB* +C• where A, B, and C are constants not equal to zero. Ev...

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Q: 3) Determine the value of k such that when f(x) = x* – 3x+ kx² + 2 is divided by x – 2, the remainde...

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple...

Q: Determine if y = ex is a solution to y′′′- 12y′′ + 48y′- 64y=0

A: y'= ex  y"= ex  y'"= ex 

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: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: sin-cos-sino dO? 2 2 21. What is the integrable form of А. sinu du -2 В. c. ?/. cosu du с. D.

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Q: 10. Two numbers sum to 100. How small can the sum of one number and the other number be? square of t...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Please see the below picture for detailed solution. 

Q: Question 3 The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies ...

A: ∫-b-a1+xfxxdx = ∫-b-a1xdx +  ∫-b-afxdx = lnx]-b-a + ∫-b-afxdx Given ∫fxdx = Fx and Fx is odd functio...

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

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Q: The antiderivative of fx), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property...

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Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

A: General form of Linear differential equation of first order and first degree is given by dydx+yP(x)=...

Q: What is the integrable form of sin-cos- sin0 do?

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Question d15 Find dx15 (-5 sin (x) + 13 cos (x)). Provide your answer below: d15 (-5 sin (x) + 13 co...

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

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Q: Find the area bounded by the curve y²=4x, the lines x=1 and x=4.

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Q: /(2- sec?r) eln)gsec'x (2– What should be the value of A for -dx to be integrable using the formula ...

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Q: a -xP+C. What is the value of The general antiderivative of (3x²-4) 2x2 can be written as -x m the s...

A: We have to find the value a+b+d+m+n+p

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: 6) Solve the following inequalities. a) x³ – 7x – 6 < 0 b) –2x³ + 8x² – 8x < 0 - -

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

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

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Q: For /- (x+x³) (x Tan-lx+1) dx = In[F(x)]+C• What is f(/3) if C = 0? -1 3 -1 + + + -15-15-15

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 713 f(2) dz 7/3 f(2) dz -2...

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

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Q: . What is F(/3) if C = 0?

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Q: For S dx -=In(F (x))+C. What is F (/3) if C=0? (*+**) (xtan-(x) +1) A - 6. B 3. D 3.

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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: The resulting integral of sin-cos-sin0 de 2 2 has the form -F(0) - +C. What should be the value of e...

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Q: (2-sec?x) lnae sec(3A -x) sec'x dr to be integrable using the formula What should be the value of A ...

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Q: Find all critical points of the function f(x) = x-15 – x-16. (Use symbolic notation and fractions wh...

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