15 loyy o4=x 16 og 2 243: 2x+l 64=7

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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A: Given,            y''+3y'=0 , y0=-2 , y'0=3To find : The general solution of teh differential…

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A: Given problem:- Find the antiderivative of the function f(x) = x7 That is, find a function F(x) for…

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A: d.According to graph of d. at x=0limx→0-dx=limx→0+dx=limx→0dx=finite.So, function is continuous. at…

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Q: I Evaluate the following expressions by basic integration: dx 2. ,(x + 3)(x – 4)dx

A: Given

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 8. (5- |x – 5|) dx

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Q: The integral of the given function fł-16) dx is v-16 +C a. Vx - 16 - 6Arcsec+ b. Vx - 16 - 6Arcsin+…

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Q: 1 Value of 1 1+x 1 is: 1+y

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Q: _8. Water is pumped into a spherical tank at a rate of 3 cubic feet per minute. Which is the correct…

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Q: (v®) do 1 sec J2

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Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: (x1, y1, z1) =(0, 0, 81)(x2, y2, z2) =(18, 18, 0)The parametric equations are given…

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A: an=7n2+n+24n2-3limn→∞an=limn→∞7n2+n+24n2-3           =∞∞(indeterminate form)…

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A: The objective is to solve the differential Equation.

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Q: Find the set of solutions for the linear system 3x1 + 4x2 + 5x3 7 || 5x2 + 8x3 -8 Use s1, s2, etc.…

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9999…

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Q: ° (24 -2x + 2) I-4

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Q: y' + y" = siny O 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree O None of the…

A: Given problem :- y''+y''''=siny  To find:-  order and degree of given differential equation

Q: Use the graph to solve x* + x³ – 7x² – x + 6 > 0 y 12 -4 -2 0 4 x -6 12 y=x + x* -|7x² – x + 6 O…

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Q: The forward motion of a SpaceX Dragon, t seconds after touchdown, is described by s(t) = 198t – ti,…

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Q: C' (x) = – 0.02x + 30, where x represents the level of production andC'(x) represents the marginal…

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Q: logarithm

A: We will expand the logarithms.

Q: 4. Determine the phase shift and the vertical displacement with respect to y = sin x for each…

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Q: The integral of the given function Si is - +c m +c c.Arctan+i +C a.Arctan 16 +4) b.Arctan + 16 +4)…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Evaluate the integral: 5x/8x² – 1 dx - 5 (8x2 – 1)- + C (8a? – 1)-+ C (822 – 1) + C -(8x2 – 1) + C 8…

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Q: (3k + 8)! Consider the series> ar k3k k-1 k-1 a) What is ak+1? ak+1 = aktl ? b) What is ak ak-1/ak =…

A: The given series,     ∑k=1∞ak=∑k=1∞3k+8!k3k

Q: For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular…

A: A right circular cylinder have a capacity of 36 in3.

Q: 1. (x+6у?)dx - 4хydy-0

A: Given problem:- (x2 + 6y2 ) dx -  4xydy = 0  Solve the given differential equation

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Q: cos (*) 2kT COS 3 Consider the series ak k! k=1 a) What is ak+1? ak+1 aktl? b) What is ak aR-1/a If…

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Q: V7 dx . 3+x4

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Q: Derivative OF the FollOwing 1.y sin x)* 2. y-Tex te* 3. d dx ( scextanx t in csccxttanx)

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Q: The shaded region shown below is bounded by the functions f (x) = -2x² + 0.75x + 4 and g(x) = 1.5x +…

A: The shaded region shown below is bounded by the functions fx=-2x2+0.75x+4, and gx=1.5x+2 and the…

Q: 9 checik whether the following statemects are true or False. lif En an is conditionally convergent,…

A: For (i), Let us take an=(-1)nn. So, the series ∑n=1∞an is conditionally convergent but ∑n=1∞an is…

Q: region bounded by the given curves about the speafied line. y y,about y= 1 Sketch the region. Sketch…

A: To find the volume of the solid obtained by the rotation reason bounded by the curve. y=x^2 , x=y^2…

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

Q: [2x [8 5 Find the value of x+y, if 7 -y] 7 3 1. 4 2. 1 3. -3 4. 6

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Q: k- 32k 6k+4 Consider the series ak k-1 a) What is ak+1? ak-1= ak+1? b) What is ak ak-1/a ak+1 c)…

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