A. Evaluate the following integrals: | sin 'xcos xdx 1.

Q: The plane that contains the point (3, –1, –4) and the line with equation = y – 1 = 3z is orthogonal ...

A: Let:x-02=y-11=z-013=kL: x=2k, y=k+1,  z=k3P1:(3, -1, -4)Put k=0, k=1P2: (0, 1, 0)P3: (2, 2, 13)Vecto...

Q: Determine whether each point lies on the line. ......e x = -4 + t, y = 4t, z = 3 + t (a) (0, 16, 7) ...

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

A:     ∑n=1∞1(n+1)!-n!=∑n=1∞1(n+1)n!-n!=∑n=1∞1n(n!)≤∑n=1∞12n And the above series converges.

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: V3x2+4 d. lim X-00 x2-7x+12

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Q: 8. Two ships sail from A at the same time. One sails south at 15 miles per hour; the other sails eas...

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exac...

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

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

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Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the followi...

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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: L {t sin(4t)

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Q: 10. у%3D V2x+1

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Q: Find the average rate of change of f(x) = -2x? + x – 1 on the interval [0, 2]. А. 6 В. 3 С. -6 D. -4...

A: Given

Q: A company determines that the number of units of a certain product that will be sold is given by the...

A: Find your answer below 

Q: 18. f(x) =x a

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Q: S tan-1(bx) dx

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Q: 3The bell tower of the cathedral in Pisa. Italy. leans 5.6 from the verticalA tourist stands 105 met...

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

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

A: Let's find. 

Q: Зх - 8 If 3 = 0, then x = ? 3 3 Зх— 8 3 Зх — 81 3. 3.

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Q: Use the alternative form of the dot product to find u · V. ||u|| = 35, ||v|| = 40, and the angle bet...

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Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)...

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = (t25 + 4t) cos (3t). W...

A: The velocity of the particle is given by: v(t)=(t2.5+4t)cos(3t)

Q: 00 3n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" o...

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Q: The price of a certain item is related to the number of units supplied each month by the equation 2p...

A: topic - implicit differentiation

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

A: Given problem:-

Q: 4n+1+3" Consider the sequence an = 4" (a) Is the sequence monotonic or non-monotonic? If it is monot...

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Q: Question 1: For each of the following Fibonacci-style sequences, find the next 4 terms. (а) а, 4а, 5...

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Q: d = 12t(3t2 – 1)3, s(1) = 3

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Q: Find the radius of convergence and interval of convergence of the power series 2" (x – 3)" Vn + 3 n=...

A: Solve the following

Q: Consider the following function: -9x2 + 5x + 6 if x 1 f(x) = { 312 - 2x - 3 Step 1 of 2: At what x-v...

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Q: 2. Find the area of the region bounded by the graph of y = x2 –- 3x – 4 and the x-axis. %3D

A: The region is bounded by y=x2-3x-4 and the x-axis.

Q: 4. S Vcos²2x + 2sin²2x – 1 dx |

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Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

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Q: Evaluate the given integrals. z3+1 2. z+1

A: Explained below 

Q: 5. In the differential equation (xy +1)kdx+ x(x+4y– 2)dy =0, the integrating factor is

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Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock ...

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Q: Sketch the graph of P(x) = x*(x+ 6)(x – 4)*(x – 7)². Scale is not important, but your graph shou hav...

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Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,5, 1). NOTE: Enter the exa...

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Q: Determination of integrating factors: 2y(x² – y + xdx+ (x² – 2y}dy = 0

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Q: If 21 f(x)dx 9 - 55 and 21 g(x)dx = 30 – 55 and – 21 | h(x)dx = 35 55 what does the following integr...

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Q: Find the area of region T. Then once you have found the area of T, find the area of P whose function...

A: The objective of the question is evaluate the areas of the given region.

Q: Let f be a function such that | f(u) du = -12. What must be the value of -6 f da?

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Q: SVA 1. dt 1

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Q: Write an integral that is equivalent to xf (2x) da.

A: Consider∫-2-1xf(2x2)dxlet  u=2x2differentiate on both sidesdu=4xdxWhen x=-1 ,  u=2(-1)2=2          x...

Q: b. g(b) Use the Substitution Formula, f(g(x) • g'(x) dx = | f(u) du where g(x) = u, to evaluate the ...

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Q: drones

A: We will find the rate of change of hypotenuse.