2sm x-1 2. y= COST+2

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: cos2x- sin2x cos2x F(x)+C: What is Fx)? For dr = - 3 cosx - sinx

A: A detailed solution is given below

Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

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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: Find the area of the region bounded by the curve y=1--x? and the x-axis. 8 square units 4 square uni...

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

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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: Obtain the particular solution satisfying the initial conditions indicated.

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Q: Evaluate P(n, k – 1)P(n – 1,n – k). - k=1

A: We have to evaluate ∑k=1nPn,k-1Pn-1,n-k

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

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

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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: Which of the following is an improper integral?

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

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Q: Given

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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: (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: cos2x – sin2x cos2x - dx=- + C• What is F(x)? For cosx – sinx 2 sinx - cos?x – cosx+ sin³x 3 3 (sinx...

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

A: we have to find the anti derivative .

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C a...

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Q: Find the center of the circle 4x? + 4y?+ 24y – 4x – 35 = 0. O (3, 1/2.) O (3/2, -3) NONE OF THESE O ...

A: Given the equation of circle  4x2 + 4y2 + 24y + 4x - 35 = 0 We need to find centre of circle. As we ...

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

A: Solved below

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: Determine the convergence or divergence of the following series. 1 (a) Σ (Use Integral Test.) n(ln n...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 10. a d The general antiderivative of (3x2 – 4) 2x2 can be written as -x" -x" + x" + C. What is the ...

A: On solving this we will get

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

A: Let's find. 

Q: つC 人ny dy de //ヶ。 1 = 1. 1.

A: solution:-∫12∫1xln yxydy dx=∫12∫1xln yxydy dx=∫12ln y22x1x dx=∫12ln x22x-ln 122x dx=∫12ln x22x dx=ln...

Q: Graph the given piecewise Function

A: We need to graph the given piecewise function.

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

A: A detailed solution is given below

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: hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the r...

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Q: Given cost function C(q)=q3−135q2+26000q​, what is the minimum average​ cost?   It would be ​$enter ...

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Q: If 5 tan 0 – 4 = 0, then the value of 5 sin 0 – 4 cos 0 is 5 sin 0 + 4 cos 0 - 3 Option 1 Option 2 1...

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

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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: A. What would be the initial population of the mosquitos colony? B. What is the population of the co...

A: Substitute x= m in the equation to get p(m)

Q: he function C(x) = 0.002x² + 80x + 8000. (a) Find the average cost function C. C = (b) Determine the...

A: Topic:- application of derivatives

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: If cos? 0 – 3 cos 0 + 2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is V3 8...

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Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

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Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. O ...

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