Derivative of Y=tanxcosx

Q: B- The derivative is y = ln (sec (In 0))

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Q: 7 Find (x³ +2x) dx S. x²+4 None of the Above √√√√x² + 4(x³ - 2) + C √√√x² + 4(x² − 2) + C - O√√²-4…

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Q: Solve the first-order differential equation dydt=ay with the initial condition y(0)=5 Specify the…

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Q: X e. (1 + x + X/21 + X²/31 -)-(1-X + X ²121 - X/31 --) + 2 5 2x+2 +2+- 3 5 3! 2 (2n+i)' 8 EX n=o…

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Q: 5 Find the equation of the line with y-intercept 7 and slope 9 ||

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Q: dy dx x3 2+y²

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Q: fcx) = sinh x X il 10 - 2 (1+X+X/21 + X/31 + -)-(1-X + X²/21 - X/31 --) 2 3 +2 5 2x+2 31, 2 3! 51…

A: We know, coshx= [ex+e-x]/2 and emx=1+mx+m2x22!+m3x33!+... for any real number m

Q: Problem Solving 1. For the following problems, determine the area of the region between the two…

A: Solved below.

Q: Show that f is continuous on (-00, 00). if x ≤1 f(x) =(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

A: solution:-f(x)=1-x2   if x≤1ln(x)     if  x>1on the  interval -∞, 1 f is quadratic function &…

Q: 9. 10. If f(x)=√ex, the derivative is: √ex a) f'(x) = Vex b) f'(x) = √ex c) f'(x) = 2x Which of the…

A: Calculate the derivative of both problem in the following way:

Q: a. Create a table of signs for f' and f". Identify the intervals where the function is increas- ing…

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Q: 4-If B=(2,-2) and C=(5, 8). Then, B.(2C) equal: a) 12 b) -12 c) √12 d) 1/12

A: Solution )  B⇀ = ( 2 , -2 ) , C⇀ = ( 5 , 8 )  2C⇀ = 2 ( 5, 8 )      = ( 10 , 16 )  we know that…

Q: The coefficient of (x - 1)5 in the Taylor series for a In x centered at x=1 is Hint: you can't do…

A: This question can be solved using the concept of expansion of Taylor series centered at x=c.

Q: The result of the following sin 1² t limit is lim 1-0

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Q: 2. For the following problems, determine the area of the region between the two curves in the given…

A: The simple integration..

Q: Let f(x,y,z) = zIn(x³ycos(z)), find Z 3x² O In(x3ycos(z)) - ztan(z) 0 2 Y о 3z X af ila

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Q: Consider the function f(x) = vx and the point (4,2) on the graph f. (a) Graph fand the secant lines…

A: You must have idea about the graphs and secant of any function to understand it better.

Q: Evaluate the following dx (x - 1)(x-2)(x-3) integral s

A: We need to evaluate integral.

Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 5 P4(x) =

A: This question can be solved using the concept of Taylor expansion centered at c

Q: C- for the function below, the domain and the range is respectively y = y=√16-x²

A: Given :y=16-x2

Q: Q4. Evaluate the following limits. 1) 2x+y-4 lim (x,y)-(1,2) √√2x+y-2 x²y-xy² lim (x,y)-(1,1) x2-y²…

A: Here given that a limit problem and we solve this problem by using general property of limit.   Here…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: See the details solution in below

Q: The result of the following sin 1² t limit is lim 1-0

A: Here we have to evaluate the given limit.

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular, with three…

A: solution:-let l be the length and w be the width of the one sided rectangular cubicalgiven total…

Q: find: Seos nit dt findo S sinnat at

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Q: A) Evaluate the following integral (x - 1)(x − 2)(x-3) -

A: Given, ∫1x-1x-2x-3dx

Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: use Green's Theorem to evaluate the f(x² - 3y) dx + 3xdy where C is a circle x² + y² = 4 and…

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Q: Find the horizontal asymptotes f(x) = = Justify your answer. 5x3 √9x6 + 4x² − 1

A: topic- horizontal asymptotes

Q: For f (x) = x2 −2x + 5, find its derivative by using the formal (limit) definition of the derivative

A: We have to find derivative using definition

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: The height of  the object,   s=-16t2+288t+9

Q: Show the derivation of the following Maxwell relations with complete solutions (F)-(23) Әр as as…

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Q: D-the derivative is y = In In (VO) +

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: 4 dx 1 x+4√x ex dr

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Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x) = 75x - 3x² 1≤x≤20…

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Q: Find fog and go f. f(x)=√√x-6, g(x) = x³ + 1 (a) fog (b) gof Find the domain of each function and…

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Q: Find and simplify each of the following for f(x) = 3x - 2. (A) f(x + h) (B) f(x+h)-f(x) f(x+h)-f(x)…

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Q: Find derivative of the following function d -6tanx dx

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Q: y' || = X y+x²y y(0) = −2

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Q: S =/2e-3x/4 3x -3x/4 (A) 4 2x - 3x/4 (B) 3 (C) - 1/2 e X (D) 1/2 e e e ₂-3x/4 - 3x/4 dx + + 3 - & e…

A: By see this solution

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Find product solutions of J² 2x² 4 Ju sy

A: Given

Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

A: Given: fx=3gx+hx.We need to find f'9.

Q: A one-parameter family of solutions of the DE P = P(1-P) is given below. P = 1 Does any solution…

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Q: give the integral of volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0…

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: 1 Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent. xP

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Q: The toll T charged for driving on a certain stretch of a toll road is $3 except during rush hours…

A: a) Given that, the toll T charged for driving on a certain stretch of a toll road is $3. The toll…

Q: 23 34 3- prove that w = ww if w = xy? + x³y³ + x'y³ W= ху ах' ду

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