14. Expand the following binomial functions by using given formula. finding kth term of (a+b)" n! [n-(k-1)][k-1]! 14. (a+b+c)³ an-(k-1) f (k-1)

Q: Integrate and evaluate √² + 7 +36 70 +1d

A:

Q: Find the length of the following curve. 3 2 y = 3x² from x = 0 to x = 8 The length of the curve is…

A:

Q: 8. Calculate the double integral [²[²² yey drdy.

A:

Q: n6 n7 This sequence is Select an answer This sequence is [Select an answer This sequence [Select an…

A:

Q: Find the quotient a+bi. 1 + 2i 7i The real number a equals The real number b equals and write the…

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

Q: Given ƒ(2) = 3, ƒ(3) = 4, f(2)= -2, ƒ¹(3) = 7 g(2) = 1, g(3) = -1, g(2) = 6, g/(3) = 10 find:…

A:

Q: Find both first partial derivatives. - L (19 f(x, y): = fx(x, y) = fy(x, y) = (19t + 17) dt + L (19t…

A: Solution-

Q: Evaluate the limit lim a 3 1 a+8 11 a - 3

A:

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. 4|x,…

A: The graph is shown below:

Q: Solve the radical equation. X-7=√17x+49

A: given equation to find the solution

Q: Consider the following integral: This may be evaluated by using integration by parts. -) The product…

A: According to Bartleby guidelines we supposed to do the first one of multiple questions kindly re…

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: (d) h(-3) (e) lim_h(x) x → 0~ (f) lim h(x)

A:

Q: Problems 5-8, Find the average rate of change of the function over the given interval. Write the…

A:

Q: Let f(x) = lim f(x) = = x 6+ x f(6) = 3 x-9 Compute the quantities below. Write "DNE" if the limit…

A:

Q: Let F be the function below. Evaluate each of the following expressions. Note: Enter 'DNE' if the…

A: Let  be the function below.To evalaute the following limits.Note: Since the student has posted many…

Q: On what interval(s) are the following functions continuous? a) f(x)=sqr(x-2) b) f(x)=x^2-2x+1 c)…

A:

Q: Find the area of the surface generated by revolving the curve y = X Set up the integral that gives…

A: The region bounded by  over the interval  The surface area of revolution about x axis

Q: A rectangle in quadrant I has a corner at the origin and an opposite corner on the graph of y =…

A:

Q: f(x) = e-x²

A: f(x)= (e)^(-x2)We have to find intervals in which function is increasing,decreasing,concave up&…

Q: 3. Find f(x) f(2) for the function x - 2 lim T→2 a. 0 b. DNE c. 24 d. 36 3x3-4-20 X-2 3 f(x) = 31³-4…

A: To find  for the function .

Q: Let u = [5, -2, 1]T and v = [1, –4, 0]. Find the vector w = 4u 2v and its additive inverse. W…

A:

Q: Consider the function yx { x² + x² 0 f(x, y) = = if (x, y) = (0,0) Compute the partial derivatives…

A:

Q: 1. Find all solutions of the following separable ODE's. Remember to include the interval on which…

A:

Q: he rate of change of the number of raccoons N(t) in a population is directly proportional to 380 −…

A: Given that the rate of change of the number of raccoons N(t) in a population is directly…

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: given graph of a function to find limits

Q: B. A circle is tangent to the line 2x -y + 1 = 0 at the point P(2, 5), and the center is on the line…

A: The figure

Q: Monthly Payments (dollars) per $1000 Loan Monthly Interest (%) 56789SIG 10 11 12 24 43.87 44.32…

A:

Q: Points] Consider the following. (b) (c) x-7, f(x) = x² + 1, 8-x, Find each limit. (If the limit is…

A:

Q: 5. Expand the following binomial functions by using given formula. finding kth term of (a+b)" 5.…

A:

Q: A student bought a smartwatch that tracks the number of steps she walks throughout the day. The…

A: t (min)010203040steps3,5884,4595,5226,5867,508we have to find slopes of the secant line

Q: y S√ 0 Find the length of the curve x = = 4, 7 sec t - 1 dt on ton - 1sys 14.

A:

Q: If L = V² S CL, if S doubles and L remains constant; CL must be multiplied by: Question 4 Answer 2 4…

A:

Q: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

A: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

Q: Considera x sin x dx. (a) Evaluate the given integral using integration by parts. Be sure to include…

A:

Q: Find by implicit differentiation. dy dx dy dx = √xy = xy + 29 12x6y²-√√xyy x(√xy - 2xy) x

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A:

Q: c) Hence write down the indefinite integral: d) (Don't forget the constant of integration as this is…

A: product rule

Q: se the Cobb-Douglas production function to find the production level when x = 400 units of labor and…

A: This is question of calculus Here function is given We have to put value in function and we get…

Q: Compute the first four partial sums S₁, ..., S4 for the series having nth term an starting with n =…

A:

Q: (A) Estimate the area under the graph of f(x) = 56x² from x = -4 to x = 2 using three approximating…

A:

Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

A:

Q: Given the equation x2 - 10x - 20y - 15 = 0. a. Write it in STANDARD FORM and find the following…

A: Since you have posted multiple subparts question in this question and as per company guidelines i…

Q: Let x 4 || - N and y = Find the vector v = 3x - 4y and its additive inverse. 18 [2] 4

A: The additive inverse of a vector v = <a , b> is  - v = <-a , -b>

Q: Graph a line that is parallel to the given line. Determine the slope of the given line and the one…

A: The line is passing through the following points:The formula of the slope is

Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero…

A:

Q: using integration by parts, evaluate the following: ∫ arctan4tdt

A:

Q: Find the area of the surface generated by revolving the curve about the given axis. π x = 6 cos (0),…

A:

Q: thankyou quick question for the first problem were does the secound two come from. Were it 2x2…

A:

Q: Find the limit of the sequence an = (cos n)

A: