Consider the two series: 6n (a) 5n + 39 n=1 1 (b) n2 In n n=1 Which of the following statements is true about these two series? IM:

Q: Determine the indefinite integral 6.xV-5]7 dx by substitution. (It is recommended that you check…

A: We have to solve  ∫6·x3·x43-57 dx.

Q: 1 7. (x dy – y dx) = 0 x² + y?

A: We are given a differential equation  1/(x2+y2) ×(xdy - ydx ) =0 We have to determine whether it is…

Q: What is the slope of the tangent to the curve y=arctan 4x at x= 1/4 A. -2 B. 0 C. 1/2 D. 2…

A: To find the slope of tangent to the given curve.

Q: If f(x)=-(x -4), find (a) The x-intercept and the y-intercept (b) The interval where the function is…

A: The given function f(x)=-x2-43

Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cost î + sint j + k.…

A:

Q: Jse Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h (x) = V5…

A: We area asked to find the derivative of the function using fundamental theorem of Calculus

Q: 1. Lets say Q(x) = 5x + 2 P(x) = 3x2 - 5x +1 %3D Find (a) Q (-3) (b) P(5) (c) 5P(x) – 2Q(x) (d)…

A:

Q: A problem or equation of the tangent line to a curve at the point (1,3) is y = x+2. If at any point…

A: Let's find.

Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

A:

Q: Evaluate the integral (Trigonometric Substitution) x*dx J (x² + 4)² 2

A:

Q: The probability density function for a continuous random variable X has the form, Find the…

A:

Q: тх e COs nx dx

A: We have to evaluate the integral  ∫emx cos nx dx.

Q: (a) Find the extreme values on [–1,4] of p (x) re-z²/8. = xe

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

Q: Find the arc length of the graph of r(t) = eviti + e¯V#tj+ 2tk, 0 <ts v2 In 5 NOTE: Enter the ezact…

A:

Q: Evaluate the integral (Trigonometric Substitution) 1 (a²x6 – x8)Zdx

A: To find  the  value of given integral.

Q: 7. Find ſxsec¯'xdx using integration by parts made simple or otherwise.

A: Given ∫x sec-1x dx To find integration

Q: Write 32/3 as an integral

A:

Q: 6. Given i [2, – 5]and i [- 7,2] find %3D а. 5 - b. i C.

A:

Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

A: Let's find.

Q: -2V-6 6. The gradient of a curve is given by = 3). find the equation of the curve. Given that the…

A: Equation

Q: 10. The total cost, in dollars, of producing x units of a certain product is given by C (x) = 8x +…

A: The total cost, in dollars, of producing x units of a certain product is given byCx=8x+20+x3100and…

Q: A ball is thrown vertically upward from a point 112 ft above the ground with an initial velocity of…

A:

Q: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

A:

Q: Evaluate the integral cos3 x + sin² x + 1 dx cos² x (sin2 x + 1)

A:

Q: 15. What would you choose for your u here if you used integration by parts? f 3t e2" dt а. t b. e21…

A:

Q: 5. Determine the vertical and horizontal components of each force. a. 810 N at an inclination of 75°…

A:

Q: xªdx J (x2 + 9)2

A:

Q: 13. A model used for the yield of an agricultural crop as a function of the nitrogen level in the…

A:

Q: 4x +4y+ 8x - 16y = 44 %3D

A: Topic = Geometry

Q: | 3t³ (t² + 4)5dt

A:

Q: e cos xy [ydx + (x + tan xy) dy] = 0 %3D

A:

Q: How to find point of intersection?

A: You have to sketch the graphs using a graphing calculator like this:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A:

Q: A company estimates that it can sell 2,000 units each month of its product if it prices each unit at…

A:

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = x2 - 7x + 6 g(x) -x2 + 5x + 6 y 10…

A:

Q: x + 4 dx (x² + 2)(x² + 1)2

A:

Q: 3. 1 1 2 4 1 To find the blue shaded area above, we would calculate: | f(x)dx area а Where: a = b :…

A:

Q: Use the chain rule to calculate the first derivative of the following 19. (2x + 6)3 20. In (3x - 2)…

A:

Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

A: According to bartleby guidelines I can only answer the first three sub-questions of the given…

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) &amp; B(-3,-7)

Q: f (x) = sec? x +1

A:

Q: Find the area of the region enclosed by y = 5x and x = 6.5 - y. 2- 3 4 5 6 Use horizontal strips to…

A:

Q: Evaluate the integral. 2 dt 1- t2 V

A:

Q: Given Rn 2 4 2 6( 6 + i- 2 3(6 + i- express n i=1 n n the limit as n → 0 as a definite integral,…

A:

Q: 6. At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

A:

Q: Determine whether the diff eq. is exact. If it is, find the general solution.

A:

Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east b. 12 N…

A:

Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x +1 at (6, -2)…

A:

Q: Evaluate the integral sec² x tan? x + sec x (sec² x + 1) dx 2 sec x tan x (sec2 x + 1)

A: