Let R be a region bounded by the curves y = x² and y = 4x – x². Evalua /| (a + y)dA. R

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A: Given query is to find the instantaneous velocity of the object using derivative.

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Q: Let A= Hit oK lui B- 1it Hj t Ik %3D what b looine of the role butriern vetor A and B.?

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Q: V3 - 2 lim H:-4 5.

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Q: 7n To test the series for convergence, you could use the Integral Test. n=1 7n dn Find the value of ...

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Q: Sketch the region that corresponds to the given inequalities. 18x + 9ys 90 9x + 18ys 90 9x + 9ys 54 ...

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 90 compare this eq...

Q: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=...

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A: Given query is to find the transformation applied.

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Q: 1. Evaluate the limits. e' cos (t – 4) dt - 4 (а) lim x2 x2 – 4 e2 + 2 (b) lim x00 e2x + 100

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A: Given query is to find the average rate of change and instantaneous rate of change of cost.

Q: Find the inverse function of F F(x)=7-6x^3 F(x)=7-6x^3

A: Given

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A: We have to find the given limit.

Q: A new car was purchased at a cost of $25,000. The car depreciates approximately 15% of its value eac...

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Q: The graph of y =f (x) is given. Solve the inequality. f(x)<0

A: Given that: Graph of y=f(x)

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Q: Differentiate f(r)= (3x² + 10 – sin r)º. -

A: Given:- f(x) =(3x2+10-sin(x))  To find:- Derivative of f(x) 

Q: Suppose u, v, and proj,u (the projection of u onto v) are all nonzero vectors in R. Which of the fol...

A: This question can be solved using the concept of projection and triangle law of vector addition.

Q: You are given the graph of a function f. Determine the Intervals where f is Increasing, constant, or...

A: Given graph of a function f

Q: ative of f(x, y) : cos 1(xy) in the direction of v =-2i – j at irection vector.

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Q: The o he phno Pnt Pal3るる。や pant

A: We have to find

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A: Here, the initial population given is 2000, and its doubles after 2 hours.

Q: Write the vector (-5, -9) as a linear combination of the vectors (-2, 3) and (1, 4).

A: NOTE: Refresh your page if you can't see any equations. . write both vectors in the matrix and the ...

Q: (1+y² ;+ cosx – 2xy) y' = yly + sinx] ;when x = 0, y = 1 %3D

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

Q: Find an equation of the tangent line to the curve y =√x at the given point (4,2).

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Q: wer -0.7 Find -7 sec (5x + 4) tan(5x +4) dx. Show the steps th -1.1 S-

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Q: Let V u R. It v 1s prpndioulnt be Vectors in to u, then my parpindientar to' u. nonzoco Malhple GU o...

A: topic - vectors

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Q: Find the maximum rate of change of f(x, y, z) = x + y/z at the point (1, 1, -5) and the direction in...

A: We have to find the maximum rate of change

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Q: Determine the infinite limit (show the details). X-2 (a) lim x-4- X-4 X-3 (b) lim x+2 (x-2)2 (Hint: ...

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Q: Determine the value of the literal numbers in the given matrix equality. X-5 x+y X-z y+z 9 -7 x+t y-...

A: The order of given matrix is not same, 3*2 and 2*2

Q: For the curve given by r(t) (-4t, 6t, 1 – 7t2), Find the derivative '(t) = ( -4 6 -14t Find the seco...

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Q: The number x (in thousands) of cat flea collars demanded each year when the price of a collar is p d...

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Q: x2 -25 a) Find the vertical asymptotes and removable discontinuities of the graph of f(x) = x3 -6x2+...

A: Topic:- function   

Q: The profit made when t units are sold, t>0, is given by P =t - 26t + 168. Determine the number of un...

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Q: Disney+ Use the matrices below to perform matrix multiplication. 4 -5 11 4 6 5 B = D = 9. 1 %3D -9 0...

A: Please refer to the image below

Q: 2. Given f(x) = 3x – 2 and g(x) =+, find each of the following: (a) (f o g) (z) (b) (go f) (x)

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Q: An average of 40,000 people visit Riverside Park each day in the summer. The park charges $15.00 for...

A: given that, number of people =40000 ticket price=$15 and for each $1 increase in price,the park woul...

Q: 2 The demand for a certain portable USB battery charger is given by D(p) = -p + 2p +3, wherep repres...

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Q: d b) [ 4e*(ln x) ] dx

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 E (-1,^...

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Q: 29-40. Comparing growth rates Use limit methods to determine which of the two given functions grows ...

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Q: 2. Given f(x) = 3x – 2 and g(x) = +, find each of the following: (a) (f o g) (z) (b) (go f) (z)

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