Find the area between the curve and the x-axis for the function y = x2 +3x between x= -1 and x = 2 as in Figure 1. y = x2 +3x Rajah / Figure1

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A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

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Q: 6. On the corresponding grids, draw any curve that satisfies the given conditions. A function where ...

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A: Topic:- differential equations

Q: Activity 5: Read and answer each item carefully. Show your answ heet. 1. Use table of values to find...

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Q: Question Evaluate the following limit using L'Hospital's rule. (푸)( lim (cos(6æ))

A: We will solve the given limit by L' Hospital rule

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Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx -[x°sin(xy)+x...

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Q: Let f(x,y) = x³y? The third derivative fexy

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: 1아 %3D %3D 3D -10 -15- lim_f(x) 2. lim f(x) x→-1+ 3. lim f(x) 1. x→-1- x→-1' 4. lim f(x) 5. lim f(x)...

A: Given problem:-

Q: The average speed of molecules in an ideal gas is 3/2 00 M 4 v = VT 2RT v³e¬Mv²/(2RT) du where M is ...

A: This question can be solved using the concept of integration by substitution

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Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = <8,1,-4) and b = <5,-2,1>  Find , a+b, 4a+b, |a| , |a-b|

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A: Use the basic of continuous function. 

Q: e' sin 0 dy 8. de 7.3:8 Solve the differential equation y sec 0

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Q: 2/3 " tan'x sec'x dx X.

A: Solving the problem by doing the definite integral.

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A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3 sub...

Q: For the following exercises, find the volume generated when the region between the curves is rotated...

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Q: T if the statement is true; otherwise, write F. (x) =, lim f(x) = f(2) %3D %3D x2 6+4t 3 t2+1f(-3) F...

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Q: Determine whether the following is always true or not always true. Given reasons for your answers. J...

A: let Vector  u=u1,u2,u3  v=v1,v2,v3  w=w1,w2,w3 

Q: Find the volume of the solid obtained by rotating the region bounded by y = x – x^2 and y=0 about th...

A: Given query is to find the volume of the solid generated. First we will find the intersection points...

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Q: II. Let U = R, 1 = { x eR | x5 – 26x3 + 25x = 0 }, J = { x € R | |4x + 2| > 10 } and K = { x €R | x?...

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Q: 1. Find the limit of the following: ** - 11х* +37х* +6х' - 297х +621x - 405 x* - 11x* +47х* -114х* +...

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Q: Determine the particular solution of y"–3y'+2y=4e"; y(0)=-3,y'(0)=5 using Laplace and Inverse Laplac...

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A: Here we will solve the given definite integral,

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Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

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Q: "J-Hope" PROBLEM SOLVING A bacterial population Z is known to have a rate of growth proportional to ...

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Q: Find the domain of the vector function r(t)=⟨ln⁡(19t),sqrt(t+8),1/sqrt(7−t)⟩ using interval notatio...

A: Given vector function isrt=ln19t,t+8,17-tfind the domain.

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A: Given: Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to a...