Graph the function. for -4

Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

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Q: Evaluate sin'y cosy dy. 2

A: This is a integration problem

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A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: 20/(1+e(-.25)(t-10)) At what two points is the population growing the slowest?

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Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A: Here, the given line is: y=-5x⇒yx=-51 So,  tan θ=yx=-51 (in II quadrant)⇒oppadj=51⇒opp=5, adj=1⇒hyp2...

Q: Find the unit vector i in the direction of the vector v = (6, - 1). Type your answer in component fo...

A: v→=6,-1v→=36+1=37

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Q: (-1)"n For positive integer n, let an = 3" (a) Determine whether the sequence {an} is convergent.

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Q: Find A-x) and determine whetherfis odd, even, or neither. 4) f(x) = 4x - Sx4 4)

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Q: Il only I and III only I and II only

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Q: 10. The function's value will always be greater than or equal to the local linear approximation of a...

A: For the given statement

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Q: 1. A model for the position x (t) of an Olympic jump skier says that the acceleration a(t) = x" is p...

A: As per as our guidelines i am supposed to answer only three parts of this question Please repost the...

Q: f (x) = -|x| – 14x³ + -2x3 | g(x) Vx²+1

A: NOTE: Refresh your page if you can't see any equations. . substitute -y for y here both sides ar...

Q: Evaluate the integral using Trigonometric Integrals S (8 – - 3cos (x)sin°(x) dx °(x)sin´(x)dx

A: We can find the integration as below using trigonometric integral.

Q: f(x) = 1/9 -1/x+9 divided by 9x Complete the table. (Round your answers to four decimal places.) x −...

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Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

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Q: Differentiate y %3 (x? + 7х — 1)(5х + 2) а. 20х3 + 6x2 +70х + 9 b. 12x3 — 4x2+ 70х + 9 с. 10х3 + 6x2...

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Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

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Q: Find the equation of a quadratic function of the form f(x) = ar? +br + c with vertex at (4,8) and r-...

A: We have to find a quadratic equation of the form fx=ax2+bx+c with vertex at 4,8 and x-intercept is 6...

Q: Evaluate the definite integral. Round your final answer to three decimals. 53 298, 512 dt t3 Vt? – 3...

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Q: 2. Given the function g(x) = 1-x², graph and find lim g(x) a. b. lim g(x) C. lim g(x)

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Q: Solve the initial value problem: 2xydx + (2y² – 3x²)dy; y(0) = -1.

A: This question is based on solution of Homogeneous differential equation.

Q: 3x2y + ey )dx + ( x³ + xev – 2y)dy=0

A: This equation is of the form Mdx+Ndy=0M=3x2y+ey ,N=x3+xey-2yChecking for exactness∂M∂y=3x2+ey ∂N∂x=3...

Q: 11 Find the arc length of y = e" on 0 < x < 2 No decimal entries. Find the exact value. L =

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Q: (b) If u = x? cos y+ye», where x= s+2t and y = st, prove that ди 2- ди = (s – 21) (x² sin y – xye" –...

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Q: AWO Lim tanx L Szx Lim X-CSc メーラク メ メラ。 OLim ()) S→の 6 Lim di6-X +1XI メー→ロ y4 (3) Lim J→ y2ラッチアy49 4...

A: 1. limx→0tan xx2. limS→∞SS+1S25+S23. limy→∞y4y4-7y3+7y2+9 Note:    Multiple parts are given, we are ...

Q: sin 7x 2: lim 0 4x

A: Topic = Limits

Q: Differentiate log(x² + 1)² 4 log10 e а. x2+1 4x log10 e b. x2+1 a.

A: Given query is to find derivative of the expression.

Q: Express as a sum or difference of logarithms without exponents. 8 log c What is the equivalent sum o...

A: Topic = Algebra

Q: Let f(x,y) = (x² + (G))°. Determine the directional derivative of f at the point (1,0) in the direct...

A: Explanation of the answer is as follows

Q: How do I wvaluate f(x) = −2x2 + 4x for f(a+h)?

A: Topic = Functions

Q: ; lim f(x) ; lim f(x) = 1. f(x) 51 曾()- X-1 2. f(1) = 4 3 3. lim f(x) ; lim f(x) ; lim f(x) %3D %3D ...

A: Topic =Limits

Q: dy Find for: dx tanx a) y = xaT b) y = (Inx + x)'

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Elminote the orbitrary constants X =k +ct, y= ct² Find the differenhal equation of the

A: Given: x=k+ct; y=c2t2To form a differential equation by eliminating arbitrary constants  

Q: (x - 2y +4) dx + (2x-y+ 2) dy =0

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Q: x*+3x-4 4. lim X4 x+6x2+12x+16

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Q: Question 4 (a) Evaluate, with the order of integration being reversed, an equivalent integral of the...

A: Let's find. 

Q: 1) Sketch the graph and r =10

A: Given r=10

Q: 2 3 хе dx

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Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin ...

Q: 11. A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, using all...

A: Given :- A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, usin...

Q: Show that the limit xłycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: 2. 49

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Q: Evaluate the limits. Show your solutions. 1. lim lim 3. lim 北主 2.

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Q: 1. If f is continuous at every point in the interval (a, b) then it is continuous on an open interva...

A: As per the company guidelines we can solve first three parts . I hope that the given solution will h...

Q: The formula for the volume of a right circular cylinder of radius r and height h is V = πr^2h. At th...

A: We will find that how fast is the height of the cylinder changing at this same instant?Below find th...