Determine whether the series converges, and if so find its sum. 1 %3D (k + 5)(k + 6) k=1 (Enter DNE if the sum does not exist.)

Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

A: The given question has been solved in detail

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Find the function f given that the slope of the tangent line to the graph of f at any point  (x,…

A:

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: From given information,  n(S)=52, n(A)=6, n(B)=26

Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

A:

Q: find (a) f• g, (b) g•f, and (c) f • f. (i) f(x) = x*, g(x) = x - 1 %3D

A:

Q: Convert the polar coordinates (- 3, -4) to Cartesian coordinates. O (3/2/2, -3V2/2) (-3v2/2, 3V2/2)…

A:

Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: Write the complex number in standard form. 3-V-30 4 + 30i 3 + 30i 3 – V30i 7- 30i O 4- 30i

A: Simplify using basic concepts of complex number.

Q: b. Consider the graph of function f below. 1,5) (7,9) (-1,-1) (4.2) (1,-1) Complete the following…

A:

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t…

A: f(t) = -34t + 285 this is velocity function for the distance we have to integrate the function s(t)…

Q: 1. Consider A = (0, 4, 2) , B =, (6, –1,0) and C = (3,0, 1). 1 (a) Find the unit vector having the…

A:

Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

A: The expression for the centroid is: x¯=1A∬xdydx & y¯=1A∬ydydx   Where; Area=A=∬dydx   From the…

Q: Direction: Prove using the three conditions of continuity if the following function is continuous or…

A:

Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

A: We are asked to find the largest possible product of the two non negative number whose sum is 50

Q: ) = (";')-G".) Show that: r-1,

A:

Q: Draw a graph of sin 2x + sin 2(x + π/3). What are the period and amplitude

A:

Q: over the interval [2,00). 2x2 Find the area, if it is finite, of the region under the graph of y =…

A:

Q: し+1 n=1

A:

Q: . A boat is being pulled into a dock by a rope that passes through a ring on the bow of the boat.…

A:

Q: Find the radius of convergence and interval of convergencE of the power series. (x 25. E 2)" n=1 n"

A:

Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: Consider the function  f(y)=-24y25

Q: Consider the parametric equations: x = 2t2, y =t³. Find at the point t = dx? 8 without eliminating…

A:

Q: Convert a = 60o to a Car Oy = x/2 Ox = V3y Oy= V3x

A:

Q: Given the area of the region enclosed by y = 2 – x´ and y =-x, identify the integral that represents…

A:

Q: Convert the Cartesian equation x 2 + y 2 = 36 to a polar equation. r = 6

A: Topic = Circle

Q: 4. (i) Use the parametric equations of an ellipse, z = a cos (t) , y = bsin (t), 0 < t< 2r, to find…

A:

Q: Solve the following equation -1 cos 2.x + sin-1 X = 3

A:

Q: Select the answer option that corresponds with polar coordinates (3, 7). 90° 2 45° TI -7 radians…

A: Given query is to find the correct option for the cordinate.

Q: 3. Compute ahi-fin Lireh-fi for the following functions: and lim h40 a. f (x) = sin x

A:

Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

A:

Q: If $21.000 is invested in a savings account offering 4.5% per vear, compounded semiannually, how…

A:

Q: 3920 - Sp22 5.4 A person's investment is expected to produce a continuous stream of revenue R of…

A:

Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t)=3…

A:

Q: 2) Sx sin(2x?) dx 3) S cos?(2y) sin(2y) dy 4) f sec3 x tanx dx

A:

Q: Choose the point which shows the correct location for the polar coordinate (-2, - ). 90° 2 W// 135°…

A:

Q: Find fo° f(x) dx if S2 for x 2. f(x) =

A:

Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

A:

Q: Make a complete graph of the following function on the given interval. Use a graphing utility to…

A: f(x)=x-3cosx on -2π,2π

Q: 4. Show that if x, y, z are integers such that x2 + y2 + z? = 2xyz, then x = y = z = 0. (H)

A:

Q: y = x° – 6x, y = x² у — х b. Find the area of the region enclosed by the two equations. Only include…

A:

Q: If the slope of the tangent to f(x)= a(x-1) + bx at the point (2, determine the values of the…

A:

Q: Evaluate the line integral, where C is the given curve.   z2 dx + x2 dy + y2 dz,   C C is the line…

A:

Q: A Ferris wheel has a radius of 30 m, makes a full rotation in 3 minutes, and the axle stands 35 m…

A:

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v. Simplify your answers completely. u =…

A: Finding the given operations.

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° s e < 360°. Round the…

A: This is a problem of vector. Based on the general formula we will find out magnitude and direction.

Q: Find the sum of the infinite geometric series 1 1 1 4 1 +.. 64 16

A:

Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1