Evaluate the indefinite integral of f(x) : = x sin x sin x + x cos x + C COs x x sin x + C - sin x x sin x + C - sin x x cos x + C -

Q: Describe the graph of the equation. r = 6 sin 9t i – 6 cos 9t j O Itis a circle of radius 6 in the…

A: Given curve  r= 6sin(9t)i-6cos(9t)j =xi+yj So, x=6sin(9t) , y= -6cos(9t)

Q: 3. Let f(r, y) =r sin ry. (a) fa(1,9) (b) fy(r, y)

A: Given: f(x,y)=xsinxy

Q: Q3/ Find the area of zone bounded by curves: y= x² , y= 3x+8

A:

Q: Use f(x) = 4x - 5 and g(x) = 3 - x to evaluate the expression. (a) f(g(0))= (b) g(f(0))=

A: Given query is to find the value of indicated function.

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: A detailed solution is given below.

Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

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Q: Find the limit. lim (t i – 3 j + r² k)

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: dx 1-S 4+x2

A: we have to find the integral.

Q: Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8,…

A: Given,            The circle whose diameter has endpoints of -2,4 and 8,-6.To find : Write the…

Q: dx II. Evaluate the improper integral J x(Inln x)

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Q: Work Problem 1( Use implicit differentiation to find dy/dx where x+7y10 = 3

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Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

A:

Q: (1) [. | Solve the initial-value problem y" – 5y + 6y = 0, y(0) = -3 and y (0) = 2 %3D %3D %3D

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Q: 3x+1 7. 9e ax

A: The given integral,       ∫9e3x+1dx

Q: Find the volume of a cone with a base radius of 3 in and height of 10 in. Do not round. Be sure to…

A: Find your answer below

Q: d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

A:

Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: N(t) at the given point. cos(t)i+ 6 sin(t)j+ tk; t = 2

A:

Q: The discrete exponential function is unrealistic and cannot happen in real life. True B False

A: Options (b) false is correct option. Because, Exponential function are realistic bcz exponential…

Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Given,            fx,y,z=xy+yz+xz , P8,9,-8 , v=16i+j-kTo find : Find the directional derivative of…

Q: Evaluate (x – 17)dA where Ris the region in the first quadrant enclosed between y = x and y = x³. R…

A: Given curves y=x, y=x3 Now for point of intersection we put, x=x3 So, x(x2-1)=0 So, x=0,1 as x lies…

Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

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Q: 18r +3 2. dr. 92+6r +2 cos z dr. 3.

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A:

Q: 2. 3x 1. 12xe dx

A: We have to find integration.

Q: Q3/ Find the area of zone bounded by curves: y= x? y= 3x+8

A:

Q: Find the area enclosed by the curves y=2x², y=2\/x ,x=- and x = 1 4 (A) 45/51 (B) 49/96 59/76 (D)…

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Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

A: Given problem:-

Q: Work Problem Write step-by-step solutions and justify your answers. Find the general solution of the…

A: The given differential equation is: y'''-3y''+2y'=0 So, we can also write as; D3-3D2+2Dy=0 The…

Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: Evaluate the definite integral. el8# i+ e*j+t k )dt O el8 i+ (e" – 1) j+ k el8 – 1 18 O el8 - e i+k…

A: The definite integral,      ∫01e18ti+e-tj+t kdt

Q: e the given graph of the function ƒ to determine the type of discontinuity at each æ-value.…

A: Given problem:-

Q: Find the interval of convergence for the given power series. (* – 11)" n( – 10)" The series is…

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Q: 4) A particle is moving along the curve y = vx. As the particle passes through the point (4,2), its…

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Q: Problem Write step-by-step solutions and justify your answers. 'Solve the initial-value problem y" -…

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Q: Find the volume of the solid that results when the region enclosed ... by the given curves is…

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Q: Find the volume of the solid that results when the shaded region is 2 y = x revolved about the…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: REPEAT

A:

Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

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Q: Determine the interval(s) on which the graph of the function f(x) = a – 32? %3D is concave upward.…

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Q: Determine the derivative of each function using the limit definition. 1. y= 2 - 7x 2. f(x)= 4 -5x…

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Q: Domain of an exponential function y= a", where a is a positive real number other than 1, is all real…

A: Here, the function is: y=f(x)=ax which is an exponential function with the base a where is a real…

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

A: Let's find.

Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: tan x d. y = sec? t dt 3 е. y = dx 1— х2. its

A: We have to find dy/dx for the given function

Q: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step