Determine whether the following series converges. Justify your answer. 2 Σ √6k k=1 V 6k

Q: Find equations of both the tangent lines to the ellipse x² +9y² = 81 that pass through the point…

A:

Q: feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is…

A:

Q: dy at(5, 4) for the following by implicit differentiation: dx x6 = 36 2. Find

A:

Q: Determine whether the statement is true or false. 3 1²0x²0x = [²0x²0x + [²0x² dx e+2 4 dx e+2 3 dx…

A:

Q: Which of the following is equivalent to (A) (B C (D L² (x5 - - 4x + 6) dx [² (2³-42) (x5 - 4x³+6) dx…

A:

Q: Find a power series representation for the function 1. f(t) 2. f(t) 3. f(t) = = = f(t) M8 M8 M8 Σ n…

A:

Q: Consider the function f(x) whose second derivative is f''(x) f'(0) = 4, what is f(5)? = 7x + 3…

A: To find f(5).

Q: Problem No. 2 There are 260,317 people living in Olongapo City as per the last census. The local…

A: Given: Initial population = 260317 Population after 5 years = 479617 The rate of growth is…

Q: solve each inequality.   x2+x>0

A:

Q: Problem No. 2 There are 260,317 people living in Olongapo City as per the last census. The local…

A: There are 260317 people lives in the last census ,after 5 years the count becomes 266144,after how…

Q: Cell 130 bo at a price ncrease in per week maximum r

A:

Q: Consider f(x) = x5 - 15x³. In this question you will find the local minimums and maximums of f (x),…

A:

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 3x²…

A:

Q: Calculate the height after t years. Determine how tall the trees would be when they are sold?

A: Given data, dhdt=3.5t+15 Time t= 4 years Height at t=0 is H=14cm

Q: Consider the graph of g(x). -5-4-3-2 True 6 Ay 5 4 False 1 1 -2 -3 -4 1 2 3 y=g(x) 84 True or False:…

A: From the given derivative graph, we have to find the function f is decreasing or not at the point…

Q: = and f" (1) = which one of the statements is true? f(x) must have a relative maximum at î= 1. f(x)…

A: we will find the required.

Q: Find sin t and cost for the given value of t. t = 480° sin t = cos t =

A:

Q: 3 2 -5 -4 -3 -2 -1 -1 2 -3 1 2 3 4 5 q The function graphed above is: Increasing on the interval(s)…

A: A function f(x) is said to be increasing in an interval in which on increasing the value of x, the…

Q: Suppose f and g are continuous functions such that g(3) = 3 and_lim [3f(x) + f(x)g(x)] = 36. Find…

A:

Q: -10 -6 -2 10- 8 6 2 -2- -4 6- -8- 10- 2 8 + x 10 Given the graph of f(x) in the figure, what are the…

A: Local extremas are the points where the graph maximum or minimum of a graph is present.

Q: It is desired to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m.…

A:

Q: Find the area enclosed by the given parametric curve and the x-axis. x = 5 sin(t), y = sin(t)…

A: See the details solution in below

Q: (D² + 6D+5) y = 2ex + 10e5x

A: We have to solve the differential equation  D2+6D+5 y = 2ex + 10e5x.

Q: he birth rate of a population is b(t) = 2000e0.021t people per year and the death rate is d(t)=…

A:

Q: Marginal Profit  A division of Ditton Industries manufactures a deluxe toaster oven. The daily…

A:

Q: Free Fall: Suppose a stone is thrown vertically upward from the top of a building. If the equation…

A: Given equation of motion of stone.

Q: Nutrition   A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10…

A: This is a linear programming problem. Here, we will first find the system of inequality, then graph…

Q: A rectangle is inscribed in the region bounded by the graph of y= e1-2x^2  and have one of its side…

A:

Q: 1) for what value of k does kx² + 7x-6=0

A: See this solution in below.

Q: 1. Approximate the area under the curve on the interval [1, 11] using 5 rectangles and left hand…

A:

Q: Identify the inflection points and local maxima and minima of the following function. 12 y=(x²-9) 3…

A:

Q: Use the given information to find the exact function value. Simplify your answer as much as…

A:

Q: The function_h(x) = (x³ + 1)−³ Find the functions f(x) = may be viewed as a composite function h(x)…

A:

Q: Suppose that the second derivative of the function y = f(x) is y'' = (x + 1)(x-2). For what x-values…

A:

Q: Evaluate the given line integrals where C is the given curve O a) xyez dy C: x = t₁ y = t², z = t³,0…

A: Evaluate the line integrals

Q: 1. For 1. For all n > 2, ¹n(n) >2, and the series Σ converges, so by the Comparison Test, the series…

A:

Q: Let f (x) = 2x + 3. Compute R6 and L6 over [0, 3].

A:

Q: Solve using undetermined coefficients method. y'' + y = -2x + cos 2x

A:

Q: A boat is anchored offshore. From the bow of the boat, 40 ft of anchor line is out with 5 ft of line…

A:

Q: 4.81. Evaluate each of the following: (a) 2 mi J e³z dz, mi (b) | sinh 5zdz. ·S 0 (c) mti ! z cos 2z…

A:

Q: Find the maximum and minimum values of the function g(0) = 30 - 6 sin(0) on the interval [0, 1] 2…

A:

Q: For f(x) = 2√x and g(x) = xª + 6, find the following. (a) (fog)(x) (b) (gof)(x) (c) f(f(x)) (d)…

A: The given functions, fx=2x and gx=x4+6. We have to find the required composite functions.

Q: Let r(t) = (a) Find 7 (t). (b) Find Ñ (t). (c) Find K (t)

A:

Q: Given that 1 1 - x f(x) = f(x) = Σ x" with convergence in (-1, 1), find the power series for the…

A:

Q: Find y" by implicit differentiation. Simplify where possible. x² + 5y² = 5

A:

Q: 9) factor c" - 21c²-100

A: Topic - Factorization Note: As per Bartleby guidelines, we are supposed to answer only first…

Q: A particle moves along the x-axis with acceleration given by a(t) = π cos (t) for time t≥ 0. If the…

A: The Solution is given below

Q: XZ Find the divergence of F(x, y, z) = (ln(x+y) + point (2,0,7). ,sinhyV1+y~, ze — cos >

A:

Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

A:

Q: The radius of a circle is increased from 5.00 to 5.09 m. Estimate the resulting change in area, and…

A: