Diagonalize the following matrix. 8 10 P = D= -3 - -3 - P-¹ = E

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A:

Q: A producer of door snakes has determined that the revenue from the production and sale of x units is…

A:

Q: 105 105 Suppose that a₁ = -7 and b₁ = -30. Compute the sum. i=1 i=1 105 Σ (19a; - 17b;) i=1

A:

Q: NEEDA HELP WITH THIS

A:

Q: 4. The series • n=0 1-5n² 3n²+1 n (a) is Absolutely Convergent (b) is Conditionally Convergent, but…

A:

Q: Combine into a single logarithm: -2log(x) + log(x + 1) + 5log(y)

A: lnxn=nlnxlnab=lna-lnblna.b=lna+lnb

Q: Consider the following graph. (Click on graph to enlarge) The graph of f(x) is blue and the graph of…

A:

Q: tan 0 (2 sin 0+√3)= = 0

A:

Q: Suppose you know lim an 11-> 00 0100 What do you know about the convergence or divergence of the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the limit. Use l'Hôpital's Rule if appropriate. To enter ∞o, type infinity with a lower case i.…

A: To calculate the limit limx→0+11xlnx.     As we know the Power law: ddxxn=nxn-1 And use the common…

Q: Determine if 5x³ - 2x lim xx 4x³+2x² +1 exists, and if it does, find its value. 1. limit 2. limit 3.…

A:

Q: 21 Let A = 1 0 -1 2 3 1 -1 0 Find the |A|, that is, determinant of A. Find A-¹. You must show all of…

A:

Q: 8. fx²e¹dx

A:

Q: 14. What is the average value of the function f(x) = cos²(x) on the interval [0, πT] (a) (b) 1 || 2π…

A:

Q: 2. Use the first derivative test to locate the local maximum and local minimum point(s). f(x) = -x³…

A:

Q: Use limit notation to describe the unbounded behavior of the given function as x approaches co. v(x)…

A:

Q: Determine whether the series is convergent or divergent. n²n (1+2n2) 8 n= n

A: Please see the below picture for detailed solution.

Q: A vector field is said to be incompressible if its divergence is 0. Show that any vector field of…

A:

Q: S'. S' √x X x Arcsin y 4 yª dydx

A:

Q: fe Given that ex dx = = e³e, use this result to evaluate 3 7ex +6 dx.

A:

Q: J x ln x dr

A: Given query is to find the integral.

Q: Find the measure of the three missing angles in the following pentagon. 5 7 60° 5 40° 6 8

A: Given: two angles is 600 and 400 and the sides are 5,8,6,5,7  to find: remaining angles in the…

Q: 3) (1 Solve the following inequalities algebraically or graphically. If you use a graph, you must…

A: To solve the following inequalities.a 3x2-5>7b 21-8xx>8

Q: 12. Let f(x) be a function with f(1) = 2, f'(1) = 6, ƒ"(1) : = -12. Which of the following is the…

A: 12)    formula for taylor series is  f(x)=f(a)+xf'(a)+x22f''(a)+x36f'''(x)+.........given…

Q: Find an antiderivative F (z) with F'(x) = f(x) = 9+21x² + 1024 and F (1) = 0. Remember to include a…

A: ∫xndx=xn+1n+1+cF(x)=∫(9+21x2+10x4)dxgiven  F(1)=0

Q: A 3 2 1 To find the blue shaded area above, we would calculate: b [ f(x)da a Where: a = f(x) = area…

A:

Q: A country is in a state of civil war. As a consequence of deaths and people fleeing the country, its…

A: Note:- These are multiple subparts according to company we can do maximum 3 sub parts. So i am doing…

Q: 4. Find the limits. a. lim (x²−1) ln(1-x² )

A: Find the limit using L hospital rule

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex from…

A:

Q: If what does the following integral equal? 0 -5 y(v)dv = 7 y(v)dv = 25 and y(v)dv = 7.1 -5 7 [²D(0)…

A: Please see the below picture for detailed solution.

Q: Write the sum using sigma notation: A 8 + 12 + 16 + 20 + . . . + 60 = Σ Β, where B, n=1 A = B =

A:

Q: Evaluate the line integral, where C is the given curve.     Cxey dx, C is the arc of the curve x =…

A: NOTE: Refresh your page if you can't see any equations. . where C is the arc of the curve x=ey from…

Q: The rate of growth of a fish population was modeled by the equation 90,000e-0.6t (1 + 5e−0.6t)²,…

A:

Q: /2x-x² ƒ² 5√²x−x² (√x² + y²) [2x − (x² + y²)] dy dx

A:

Q: Evaluate sin-¹(cosx) dx using integration by parts. (A) B xsin ¹(cosx) + = + C x² ++C 2 D xsin…

A: The given integral is: I=∫sin-1cosxdx   As we know that; The Chain rule: fgx'=f'gx·g'x The Power…

Q: Evaluate the following integral in cylindrical coordinates. 1 √1-x² √x² + y² S S (x² + y²)-1/2 dz dy…

A:

Q: For the function, find the indicated expressions. f(x) = In(e* - 2x) (a) Find f'(x). f'(x) = (b)…

A:

Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: 62. S 50/²0 cos x sin(sin x) dx

A: ∫0π2cosxsin(sinx)dx∫cosxdx=sinx+cdsinxdx=cosx

Q: Find the interval in which the function given by y = 4x³ - 6x2 - 72x+30 is concaved downward. O A.…

A:

Q: Find the arc length of the curve defined as follows: x (t) = sin2t, y(t) = 1 - sin2t, 0≤t A √2 B 2 ©…

A: Given query is to find the arc length.

Q: * 5. Find the point on the plane 4x + 3y + z = 2 closest to (1,-1,1)

A:

Q: For the function, find the indicated expressions. f(x) = x5 In(x) (a) Find f'(x). f'(x) = (b) Find…

A:

Q: Suppose x = 9 and y = 5 in the figure, which is not drawn to scale. Find the following. Enter exact…

A: To determine the values of given trigonometric ratios.

Q: You have been asked to determine where a wa- ter works should be built along a river between…

A: Given, From the figure, Length of the pipe to Chesterville = AC Length of the pipe to Denton = AD…

Q: Below is the function f(x). -12-11-10-9-8-7-6-5-4-3 16 4 4 A N 2 w + 5 6 7 8 9 10 11 12

A:

Q: S 15x + 2 3x² + x (a) 2ln(3) + 9 ln (10) - 2 ln(2) - 9 ln (7) (b) 2 ln(3) + 3 ln(10) - 2 ln(2) - 3…

A:

Q: 1. Sketch the following curves given by the parametric equations. Determine which curves are…

A: (1). (a).The given curve is:x=t2-4       and       y=t2     over  -2≤t≤3

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A:

Q: /19 - 10/2) d² - 10 dz 10√

A: