14. Prove that sin x cos x from dx first principles and be sure to prove all limits used.

Q: (3) Let S be the equivalence relation on (0, 1, 2, 3} x {0, 1, 2} defined by (a, b)S(c, d) if and…

A: S=0,1,2,3×0,1,2=0,0;0,1;0,21.0;1,1;1,22.0;2,1;2,23.0;3,1;3,2

Q: III. Use the grouped frequency distribution below to answer item numbers 19 to 25. Class Interval f…

A:

Q: 6. Use Descartes's Rule of Signs to determine the possible number of positive and negative real…

A: We have to use Descarte's Rule of Signs to determine the possible number of positive and negative…

Q: -. Let R be the region bounded by the graphs of the equations y = ln x, y=0 for 1≤x≤e. Set up…

A: A detailed solution is given below.

Q: 4, 4, 5, 6, 9, 9, 9, 12, 13, 14, 14 26. The mean is 27 The median of the distribution is 28. The…

A: Solution: Given data is already in ascending order so use given data n=number of elements=11…

Q: II. Use the following frequency distribution to answer item numbers 15 to 18. f 10.5 8.7 7.9 7.1 7.8…

A: Frequency is the number of times an observation occurred. Larger number of observations can be…

Q: 7. In how many ways can seven men and six women be arranged in a row so that the women occupy the…

A: Given, In an arrangement,Total men=7Total women=6 To find: Total ways of arrangement so that women…

Q: 10. Find the area that's inside the curve: r = 3cos(0) but outside of r = 1 + cos(0). Draw

A:

Q: For the probability distribution, find a. X b. P(y> 2) c. F(y= 6) d. P(y = 6) e. f(y = 4) f. f(y= 6)…

A: The probability distribution:

Q: write on paper for upvote please. Provide Exact

A:

Q: 1. Use long division to find each quotient. Divide the first polynomial by the second. 6x + 11x2-…

A:

Q: 2. Write the equation for each sequence. 3, 6, 9, 12, 15 b. 5, 7,9, 11 а. с. 3, 6, 11, 18

A: (a)  a1=3=3×1;a2=6=3×2;a3=9=3×3;a4=12=3×4;a5=15=3×5;..an=3×n=3nHence an=3n

Q: 9. The zeros of the polynomial function f(x) =x + 4x3-84x² - 176x + 640 form an arithmetic Find the…

A: Let's find.

Q: 8. Find a fourth degree polynomial function with zeros 4, –2, 3i, and –3i.

A: given zeros 4,-2,3i and-3i

Q: Decisions geheralized integral Su+1 du th-2 , in which cale ļis Convergent. Salalate thhe valved of…

A: given ∫135x+1x2+x-2since at x =1  , x2+ x-2 =0so the given integral is an improper integral so we…

Q: 4. Find the indicated term in each arithmetic sequence. a. 15, 21, 27, ... 11th term 2.4 b. a, = 5,…

A: In the above question I have to find 11th, 15th , and 10th term

Q: 4. Determine the x- and y-coordinates of the centroid of the shaded area. [0.762, 0.533] Y 1L ¹/3 =…

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Q: (5 points) A multiple choice test has nine questions, each of which has four possible answer…

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Q: Su+1 dn th-2

A: I =   ∫135x + 1x2 + x - 2dx    = ∫135x + 1x2 + x - 2dxWriting5x + 1  = A (2x + 1) +BOn solving , A…

Q: 5. Use an iterated integral to find the volume of the solid that is bounded above by the plane…

A:

Q: 12. Let f (x) = x + find all the critical %3D points and use the second derivative test to prove if…

A: We have to find critical points and state whether they are maximum or minimum using second…

Q: A real number r is said to

A:

Q: 2. For each of the statements in a and b do the following: (i) Rewrite the statement using…

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Q: Use synthetic division to show that c is a: a. P(x)=x'-4x² + 5x – 2; c = 2

A:

Q: P(1,0, 12). Consider h(x, y, z) = cos (ry) + e + In (az) at the point P llowing: it vector in the…

A:

Q: State and informally explain the Fundamental Theorem of Calculus

A: We have to state and informally explain the Fundamental Theorem of calculus.

Q: Tuition at a certain University increases 2 % every 5 years. Student populations triples every 160…

A: Hey, since there are multiple subparts posted, we will answer first 3 questions. If you want any…