Problem 2. Find the area between these curves: (a) f(x) = 5x-2 and g(x) = 4x + 1 on the interval [2,6]. (b) f(x)=x²-4x+7 and g(x) = -2² +4r+1 (Hint: you need to find the integration bounds).

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Q: can you please write it clearly for better un

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A: Here is the solution:

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A: Solution of given question is written in below steps.

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A: To find cross product.

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A: NOTE: Refresh your page if you can't see any equations. . the demand function is  and the revenue…

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A: Given f(x)=4x and x=2

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A: Just solved the iterated integral according to the given order and get the required solution.

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A: This question is based on chain rule differentiation.

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A: Here, the given equation is: 2cos(2x) cos(x)-2sin(2x) sin(x)=1⇒cos(2x) cos(x)-sin(2x)…

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A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: True or False: We have Select one: True False -8 √xdx = 64 3

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A: The Solution is given below

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A: Given that fx=3x2-10x+1 at x=3Solution :equation of line in slope intercept…

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A: This question is based on standard equation of sphere.

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A: Solution of given question is written in below steps.

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A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

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A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

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A: We have to solve above question and find sin cos and tan value

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A: We have to find the initial value problem.

Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

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Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: Solve DU 11 dx 4x+3 x³ +2x² + x

A: ∫4x+3x3+2x2+xdx=∫3x-3x+1+1x+12dx=∫3xdx-∫3x+1dx+∫1x+12dx=3lnx-3lnx+1-1x+1Add a constant to the…

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Q: Convert (5,2) to rectangular coordinates:

A: Given problem:- Convert (5, π/6) to rectangular coordinates:

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A: Follow the procedure given below.

Q: If a = (-1,-4, 4) and b =, then a × b equals: O-4i-k O 4i + k O i +4k O 4i+k None of the others.

A: We can find the cross product as below.

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Q: Solve for all values of x in the interval [0, 2(pi)] that satisfy the equation. 8 sin(2x) = 8 cos(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: Convert the rectangular coordinates to polar form (√8,√8) (4,57) (√2,73) Option 4 O Option 1 (2,3)…

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Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

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Q: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

Q: etermine the net area.

A: NOTE: Refresh your page if you can't see any equations. .

Q: = Consider the region B under the graph of y x = [5,7], and above the x-axis. 2² +7 x+5 J Estimate…

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A: We can find the area of the bounded by the given curves.