b) f *+√x+¹ dx (Hint: Use the substitution x - 1 = t².)

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A:

Q: 12. Determine the equation of the line tangent to the curve y = 4 = 4(x + 2)²; at the point (4,36).…

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Q: ellipse at (2, 1)_

A: a. point ( 2 , 1 ) x = 2 , y = 1 Therefore point is on ellipse

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A: For each unique input values there must exist a  output value called functionWhen we get two or more…

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A: If the demand function for math self‐help videos is given by 65-0.7x, and the total cost function to…

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Q: Evaluate the given integral. Use exact values. 52+17 (x+3)(x + 4) √ dx = Question Help: Video Add…

A: Topic:- application of integration

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Q: Find an integrating factor for the D.E. (2xy³ – 2x ³y ³ − 4xy² + 2x) dx + ( 3x²y² + 4y) dy = 0

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Q: ose that the price per unit in dollars of a cell phone production is modeled by 0 – 0.012, where x…

A: We will find the required.

Q: (-7)=|

A: Topic:- derivatives

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A: Let fx, y=4xy2+4y+exySuppose that z=fx, y with x=ln2s-t2 and y=2s2t2+t. To use multivariable chain…

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A: The appropriate relationship has multiple of 1.6

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A: Solve the limit

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Q: Evaluate the definite integral. e 3 S²₁ dt = dt = 2

A: Evaluate the definite integral  ∫2e3tdt

Q: Find the average rate of change of the function over the given interval. R(0) = √30 + 1; [1,5]

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Q: (cos x-cosy-cotx) dx-sinx.

A: Topic:- differential equations

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A: If y is given as a function of x, then the volume of solid obtained by rotating the portion of the…

Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

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Q: Find the equation for the tangent plane to the surface at the indicated point. (Hint: Solve for z in…

A: I am attaching image so that you understand each and every step.

Q: 2 Find the average value of the function f(x)=x²-5 on [0,3]. The average value of the function…

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Q: 2. (6x+y²) dx + (2xy-3y²) dy =o

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Q: 8. Consider the following sign diagrams relating to the graph of y = f(x) Sign diagram of f(x): +…

A: Given 1.   2.

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A: Given equation of curve:- 3y2+2xy=8

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A: As x tends to Right side f(x) tends to -1 , therefore limx→-1-f(x)=-1

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A: Given that  The plane spanned by.  v1 = (5, 6, 0) and v2 = (0, 5, 6)   To find :- The vector…

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A: The equation of the regression line is y = 3.67 + 0.0313x  Therefore the option (B) is correct.

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Q: Sketch the graph of an example of a function f that satisfies all the given conditions. lim-of(x) =…

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Q: 2. Sketch a graph of f(x) = -2(x+1) ³-6 by using a sequence of transformations of a well-known…

A: NOTE: Refresh your page if you can't see any equations. . the given function is a cubic function…

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Q: A radioactive material decays at a rate proportional to its amount. if the material has a half-life…

A: Given:If the material hs a half-life of 30 minutes To find what percent of the original msss is…