+00 2 en-3 3 n=1

Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(0.2) and y(0.4), of the ...

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Q: 2x² + 3 dx J x(x – 1)2 x(х —

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Q: 7. If y 6e5, then y' = 30e*. The derivative of a product will never be equal to the product of deriv...

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Q: Determine whether the differential equation (5x? – 2xy + 8) dx + (7y? – x? + 5) dy = 0 is exact. If ...

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Q: Write the first five terms of the sequence with the given nth term. = sin 2 %3D 4. 5.

A: To write the first five terms of the sequence with the given nth term.an=sinnπ2  

Q: 3x2 + 9x + 6 Given the function f(x) = identify the x2 +x - 2 following. a) y-intercept: (0,_) b) x-...

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Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x...

Q: Evaluate: using inner limits 0 to y and outer limits 1 to 2. а. 0.82 O b.0.375 с. 0.71 O d. 3.75

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Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a con...

Q: (x – 3)" Σ For what value of x does the series converge? n=0

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Q: A baseball is "popped" straight up by a batter. The height of the ball above the ground is given by ...

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Q: Determine whether the differential equation (2x2 - 2xy + 4) dx + (4y- + 2) dy = 0 is exact. If it is...

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Q: What is y if y= x when x 2? Oa.-1/4 Ob.3/8 Oc 1/4 Od.-3/8

A: According to question,Given function,y = x-2 

Q: Suppose an object in circular orbit stops in a position where cos(0) The terminal point is located i...

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Q: . The derivative of y = 3VX4 – cosx is - D. x*/3 + cosx A. x/3 + sinx В. 4х /з + sinx C. 4x*/3 + cos...

A: y=3x43-cosx⇒y=3x43-cosxThen dydx=(3×43×x43-1)-(-sinx)                           =4x13+sinx

Q: ( tan( tan3x)dx Evaluate: cos²3x A -In |sec(tan3x)| + C 3 |cos(tan3x)|+C B © --n |sin(tan3x)|+c O --...

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Q: 10. After starting with 197 miaTograms, the mass of bacteria decreases by 22% every 2 hours. 2-hour ...

A: The initial population is                                                = P0The population at time ...

Q: Problem 13. Let f(x) = 2sirtx) %3D f'(x) =

A: We know that; The Chain rule: fgx'=f'gx·g'x And ddxax=axlnaddxsinx=cosx   Given: fx=2sinx

Q: 8. Find when x = t3 -t and y = 4 –- t². dx'

A: Here, the given functions are: x=t3-t & y=4-t2⇒x'(t)=ddt(t3-t)=ddt(t3)-ddt(t)=3t2-1    y'(t)=ddt...

Q: Evaluate: lim sin(3x)cot(2x) O a. 2 O b. 3 2 O c. 3 O d. 2 3

A: limx→0 sin3xcot(2x) limx→0sin(3x)cos(2x)/sin2x so now it form 0/0 so we use la'hospital rule differe...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n= 4, c = 7 %3! P4(x) ...

A: Given:       fx=lnx, n=4, c=7   A taylor series is given by               fx=∑k=0nfkck!x-ck here n=4...

Q: 2 For the given cost function C(x) = 16900 + 500x + x First, find the average cost function. Use it ...

A: For the given cost function Cx=16900+500x+x2, first to find the average cost function. By using it t...

Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Using P test. And follow step 2nd . 

Q: Using differentials, if determine the approximate change in y when x changes rfrom 8 to 8.01. y3x3 O...

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Q: (x* + y° ) In (x² + y* ). (x,y)= (0,0) f(x, y) = k +1, (x, y) = (0,0)

A: If f is continuous then lim (x, y) tends to (0, 0) =k+1 And using l hospital rule. 

Q: The angle of rotation is 18.485 of the conic section with equation Ax-Bxy +Cy 4, if A- C- 20 and B+C...

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Q: A curve has an equation of y = x - 6x2 + 9x + 2. Find the point of inflection of the curve. O a. (1,...

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Q: Moving to another question will save this response. sestion 2 A curve has an equation of y = x³ - 6x...

A: Guven equation of curve y= x3-6x2+9x+2 At point of inflection double derivative y"=0  

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 00 Σ f(x) =...

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Q: By double integral, find the volume of the solid enclosed by a paraboloid x + 2y2 + z = 16, the plan...

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Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1  

Q: log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

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Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate...

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Q: The equation a² + y? + 4z2 = 25 in R° describes

A: We have to describes the given equation in R^3

Q: Solve the following Dife rential equations. 1. (xy+y")y' = y

A: Topic:- differential equations

Q: Find the area of the surface obtained by rotating the curve y = sin about the x axis for 0 < x < 7n ...

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Q: Set up (Do not Solve!) the volume of the solid whose base is bounded by the graphs of y = x + 1 and ...

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Q: A curve has an equation of y = x° - 6x + 9x + 2. Find the maximum point of the curve. O (1, 6) O (3,...

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Q: S 2" +1 2n +n

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Q: Evaluate; | em(sin2x) sin2xdx sin 3x +C 3 A sin?x +C 2 B sin*x +C 4 sin4x +C 2 D E None

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Q: The top of a 250 foot vertical tower is to be anchored by cables that make an angle with a measure o...

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Q: Q.4: Determine the intervals of the function F(x) = 2 x - 7x + 5 for whichf(x) 2 0. %3D

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential equa...

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Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

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Q: Using double integration, find the volume of the solid bounded below by the plane z = 0and above by ...

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Q: Let V(t) = t – 6t + 8 represent the velocity after t seconds of an object in meters per second. (a) ...

A: we haveV(t) =t2-6t+8

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

A: Find your answer below 

Q: Given that y = (1In(x))?m(=), find dy using the method of logarithmic dx differentiation. dy dx ||

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Q: A snowboarder slides up from the bottom of a half-pipe and comes down again, sliding with little res...

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