A. Evaluate the following integrals: 1. sin 'xcos x dx

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: line passing through a point (-3, 3, 3)and parallel tox-12=y+1-4=z-51vector v→=(2, -4, 1)x=x1+atx=-3...

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Q: Show that, in the triangular region with vertices (0,0), (1,0) and (1,1) the following double integr...

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Q: fa cos (6x) cos (3x)dx

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Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the fu...

A: Given query is to find the average value of the function g(x) over the indicated interval.

Q: 7. A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2 revolutio...

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: Given the curve: y = 4cos3x - 3cosx, find the following values of x (from 0 to 2pi radians) when y i...

A: Given curve: y=4cos3x-3cosx To find: The values of x when y is maximum and minimum i.e. critical poi...

Q: 4. Find the volume of the solid generated by revolving the region bounded by y = x 2 + 2 and y = x +...

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Q: OM 3. In the differential equation (y – x - 4x-1kdy + 2y(x+ y+2kdx = 0,

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Q: 4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from home t...

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: The exact differential d(xy)= xdy+ ydx , what is the d O= 4x²y°dy+ 2xy*dx.

A: Find your answer below 

Q: find the area of the region enclosed by the curves y = 3x, y = -3 and y = 4 – x using integration.

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Q: 1 L (s- 4)6 J

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

A: x=3t1y=2-t1z=-1+t1andx=1+4t2y=-2+t2z=-3-3t23t1=1+4t2  ...(1)2-t1=-2+t2 4-t1=t2  ...(2)-1+t1=-3-3t22+...

Q: Solve y + 4y = e4* y(0) = 2 %3D

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Q: 5. Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical pile...

A: Solution ) dv/dt = 25 ft3/ sec  h = d/4  d = 4h  [ d = r/2 ] r/2 = 4h  r = 2 × 4h  r = 8h  h = 5 fee...

Q: tan (x), cos(x), or sin (x) input atan (x), acos (x) or asin (x). DO NOT convert answers to decimal ...

A: find integration

Q: Set up a definite integral that represents the shaded area. y foo A fxdx

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Q: 2 sin (3x) d%

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Q: (d) 5 (-1)" Vn +1 n=1 1 (e) Σ- nylnn n=2 n (f) 2 In Зп + 1 n=1

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Q: (tan 2x + cot 2x)² dx

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Q: 2 6X こ

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Q: g(b) Use the substitution formula f(g(x))g'(x)dx = f(u)du where g(x) = u to evaluate the integral be...

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Q: Consider the following. u = -7i - 2j – 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k...

A: Let's find. 

Q: The graph of a function f is shown. y 1 Does f satisfy the hypotheses of the Mean Value Theorem on t...

A: topic - mean value theorem to satisfy mean value theorem, f must be continuous on closed interval an...

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln...

A: the given function f(x)=ln x on the interval [1, 6]

Q: Cos x.e

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Q: Write an integral that is equivalent to æf (x²) dæ. a = b = || f(u)du submit Answer a at

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Q: Given the standard form of the equation of hyperbola, find the following, then sketch the graph: A. ...

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Q: cosx sec? x+ cos x csc² csc² x csc² x secx cos x cos x If f(x) * , then f f (x)dx_ 1 cos x

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Q: 1 L [s² +2s+5)

A: Let's find. 

Q: S(2x – 3) dx 5. e6x

A: The given integral is: I=∫(2x-3)e2x2e6xdx=∫(2x-3)e2x2-6xdx  

Q: Determine whether the lines given by the symmetric equations x - 1 y - 2 z - 3 %3D 2 3 4 and x +1 y ...

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Q: lim cosCx)

A: Given: limx→πcosx   Let, fx=cosx So, At x=3.1 f3.1=cos3.1=-0.999135 At x=3.14 f3.14=cos3.14=-0.99999...

Q: Find the area of the region that lies inside both r=cos(theta), and r=sin(theta)

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Q: integral

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Q: A company estimates that the cost (in dollars) of producing x units of a certain product is given by...

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Q: 5-10 Find the Maclaurin series for f(x) using the definition of Maclaurin series. (Assume that f has...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = j+ 2k v = i - 6j – k O parallel ...

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Q: 4 6 8 10 12 14 16 18 20 22 24 3. TV-VIEWING PATTERNS The following graph shows the per- centage of U...

A: As we know rate of changecan be calculate by formula           = Rise/Run

Q: 1. Find the derivative of the following functions. 1 (b) y(t) = Vi (c) y(t) = - (a) y(t) = t %3D

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Q: dr de 3 cos2 (플-0),r(0) =D1 8

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Q: Find the vector component of v = 2i – j + 3k along b = i + 2j + 2k and the vector component of v ort...

A: v=2i-j+3k b=i+2j+2k.

Q: If the integral from 0 to 2 of the function g(x) is equal to 3, what is the integral from 0 to 2 of ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: If f : a, b] → Ris differentiable at a point c E (a, b), then f is continuous at c. True False

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Q: Use the graph of y-f(x) below to determine which of the choices could be the graph of y=f(x) Hint: M...

A: In order to graph the function y=f'(x) firstly we need to find the signs of f'(x) at various interva...

Q: 5. (a) Complete the following unit circle. 0 or 27 11T 6 klo . 프

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