Evaluate the sum k(4k+5). 9 9 Σk(4k+5) = k=1 (Simplify your answer.)

Q: Find the centroid of the lamina bounded by the x- and y-axes, the line x = 2, and the graph of y=e*.…

A:

Q: Compute the value of the improper integral. (If the integral diverges to ∞, type oo; if the integral…

A:

Q: A starting principal of $8000 continuously compounds for 9 years, resulting in an acquired amount of…

A:

Q: Find a value of the constant k, if possible, at which is continuous everywhere. k= (enter "none" if…

A: Find the value of k, if possible, at which  f(x)= 16-x2, x≤-4 kx2 , x>-4  is continuous…

Q: For the function f(x, y) = (5,-2) that has a positive 2e²* sin(y), find a unit tangent vector to the…

A:

Q: Question Evaluate the sum of the series answer. n+1 10²n-1 Enter an exact

A:

Q: 1. 3 (6-x²)²

A:

Q: Why is the cross product of two vectors axb always equal a vector  ?

A: Given query is to find why cross product produce vectors results.

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A: We need to find out the value of x and y that will minimize the cost.

Q: Assuming - 8x³ - 2y² - 10xy = 0 defines y as a differentiable function of x, dy Fx dx F. use the…

A: Please see the below picture for detailed solution.

Q: Suppose that we use the bisection algorithm to approximate r = √20 which the greatest zero of the…

A:

Q: Evaluate n= 2 Then 10 n² - 1 First find the partial fraction decomposition of 10 10 n² 1 n² 1 n=2…

A:

Q: Find the derivative of the function y = y' = || 9x² - 8 x² - 7

A:

Q: Function g is graphed. -3 -2 -1 4 g A -1- S²90 Y 3- di -2- -3- T Find S g(x) da. Give an exact…

A:

Q: If Σ ak = 9 and Σ bk = 36, find the following values. k=1 k=1 n bk 36' n Στakı Σ Στακι n n n - Σ…

A:

Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

A:

Q: 2 Weight Gains 12. The graph at the left shows the weight of a baby and the weight of a puppy for…

A: Given graph:-

Q: An objective function and a system of linear inequalities representing constraints are given.…

A: see below the answer and explanation

Q: 8. Find an equation of the line tangent to fix=>x=-3x, at the point (2, 2)

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

Q: 4x² - y² 5 (-1, -3) that has a positive a component. For the function f(x, y) = 3 find a unit…

A:

Q: Let U = {a,b,c,d,e,f, 12, 13, 14, 15, 16, 17), X = {a,b,c,13,14,15), and Y = {b,d,f, 12,14,16}. List…

A:

Q: 5) A) 4./00 45'00 5'00 B) D) 458 4500

A:

Q: Find the radius of convergence of the Maclaurin series for the function below. f(x) = 1 (1+6x¹)³

A:

Q: Find, correct to three decimal places, the point on the curve y = 4 ln x + ex at which the tangent…

A: For a curve f(x), f'(x) at any point represents the slope of the tangent to the curve at the given…

Q: Evaluate the integral by converting to polar coordinates. 3 6² 6² cos(x² + y²) dy dx = 0

A:

Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) xy. The directional…

A: The given function is:f(x,y)=xyDirection vector:u→=1, -3Point:P=(4, -6)

Q: Which of the following functions (there may be more than one) are particular solutions to the…

A:

Q: Find two numbers whose sum is 33 and whose difference is 11. smaller number larger number

A:

Q: 6. If f(x) = 3x - 4 and g(x) = x², find the value of f(3) - g(2).

A: Disclaimer: Since you asked multiple question, we will solve the first question you. If you want any…

Q: We wish to estimate the difference in the proportion of college students who use Instagram and the…

A:

Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A: The region R is bounded by the ellipse:(x-4)216+(y-2)21=1

Q: (l+h)³41 allimpro h th b) limpo Sin+h

A: Here we have to use the concept of limits

Q: Determine if the following sequences converge or diverge. If convergent, find the limit. You must…

A:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: Given: 4x2+xy+3y2-54=0 We know that ddxxn=nxn-1 and ddx(constant) = 0

Q: Compute the average value of the following function over the region R. π R= {(x,y): 0,05) Osys…

A:

Q: Find the general solution to the homogeneous differential equation d² y dt² The solution has the…

A:

Q: Please show your answer to 4 decimal places. Find the maximum rate of change of the function f(x, y)…

A:

Q: Concept check: Evaluate the following integrals: 1. dx (6-x²)z OIL

A:

Q: Solve the equation (1-5x)e¹-5 =0 for x. Give your answer as an integer or a fraction.

A: lne=1lnxn=nlnx

Q: Find the solution to the boundary value problem: The solution is y = d²y_6dy + 5y = 0, y(0) = 1,…

A:

Q: Find the absolute maximum and minimum values of the following function over the given interval. If…

A: Given function:- fx=10cosx10+5sinx

Q: 1. Find the equation of the tangent line to the graph of y=f(x) at x=-1, if fM)=3 and f(x)=ź

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

Q: 0 A B (5, 1) C (2y+1,2-y)

A:

Q: Jesaki Furniture Company has two plants that produce lumber used in manufacturing tables and chairs.…

A: Let number of days plant A operates be x and plant B operates be y We have to find Min Z = 830x +…

Q: (a) Evaluate the following integrals: (i) x²edx (4) J dx (l) J e* sinh (-)dx

A:

Q: Helium is pumped into a spherical balloon at a rate of 4 cubic feet per second. How fast is the…

A:

Q: = 4- r² - y² and 1. Find the volume of the solid E that is enclosed by the surfaces z z = 3x² + y².…

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: Find the accumulated amount after 3 years if $4000 is invested at 4% / year compounded continuously.…

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

Q: Determine the sum of the following series. 3)n-1 6n n=1

A:

Q: Let bn = 8 2n + 7 Then, bn is positive, decreasing as n → ∞, and lim bn n→∞

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  so it can be…