Write out the first five terms of the sequence with, | ()" determine whether n+4 n+2 n=1 the sequence converges, and if so find its limit. Enter the following information for an n+2)". ai = a2 = a3 = a4 = A5 = n n + 4 lim n + 2 (Enter DNE if limit Does Not Exist.) 11 Does the sequence converge (Enter "yes" or "no").

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: We will find the 8th term. 

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. -9...

A:

Q: Use the product rule to find the derivative of (7x- 7x) (7e-9) Use e^x e. You do not need to expand ...

A: We have to find the derivative.

Q: dx Evaluate the given function f xlnx а. In (lnx) + C b.lnx + C с. х + С d. - In(lnx) + С e. None of...

A:

Q: find the directional derivative for z=2xy-3sqrt(xy) at point (1,1) in the direction of point (3,2). ...

A: Directional derivative is same as rate of change in that direction

Q: Find the limit of the infinte sequence. 1 1 1 4 16 Enter dne if the limit does not exist. If the lim...

A: We have to find limit

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A:

Q: Evaluate the integral by u-substitution. (Use C for the constant of integration.) Integral of Sin3(...

A: Given : Integral ∫Sin3(x) cos(x) dx   To find : Evaluate the integral by u-substitution?

Q: Draw a number lina and place 2/4, 1/2, 7/8 on a number line

A: Draw a number lina and place 2/4, 1/2, 7/8 on a number line

Q: 9. A company is planning to sell a new product. The marketing department has done some research, det...

A:

Q: Evaluate J (sin t + 1)-1 dt

A:

Q: sin(2x) dy for y = dx Find V2-25 dy dx

A: topic - derivative

Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters

A:

Q: Evaluate the iterated integral. dx dy dy = (Type an integer or a simplified fraction.)

A: To evaluate:∫17∫0414x3ydxdy

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

A: Solution ) u = 40ft/ sec , s = 200ft We know from newton law  v = u + gt  When we throw and stone go...

Q: Let R be the region between the graphs y = x² and y = 2 – æ for 0 < x < 1. The area of R is 7 and th...

A: Given :

Q: Find the piact farglhofthe Curve ー7 カ+6-6 2ナタナ

A:

Q: 8. fx,y) = sinx cos y

A:

Q: Find the area enclosed by the x-axis and the curve y=4-x2. A 18 square units 32 B square units 3 © 3...

A: topic - area under the curve

Q: Determine whether the integral is convergent or divergent. 2 dy 4y - 1 convergent divergent If it is...

A:

Q: Use the figure to find the indicated derivatives, if they exist. (If an answer does not exist, enter...

A:

Q: Evaluate the definite integral ग ( -मुआा) using Part 1 of the Fundamental Theorem of Calculus. Remem...

A: We have to find integral

Q: 5*52"dx= 52r xp, dx A True B) False

A: topic - exponents

Q: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given by the ...

A: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given bythe f...

Q: k+ydy=e* dy (A) True B) False

A: NOTE: Refresh your page if you can't see any equations. . the left-hand side of the equation is use...

Q: The function f(x) = 2/(x-5) is continuous on the interval (0, 5). Select one: O True O False The fun...

A: Answer: false

Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

Q: Let R be the region in the first quadrant bounded by the graph of y = 2 cos (), the line y = , and t...

A:

Q: What is the area of the region in the first quadrant bounded on the left by the graph of x=ysqrty^4+...

A:

Q: 5) sin-1-1

A:

Q: 49 -dx. Find the antiderivative of 7* (A) + C In 7 (B) + C 2 In 7 2 In 7 + C 7* In 7 + C 7* D

A: The given integral ∫49x7xdx

Q: 5 Suppose S f (x) dr = -8 and S g(x) dx=9. %3D -3 -3 | Evaluate S (2 f (x) + 4 g (x)) dr. -3 Remembe...

A:

Q: 20. 7 (xx + y), x= st, y=st s= 1, t = 1 %3D %3D

A:

Q: Question 14 (1 point) Find the limit of the infinite sequence. 2, 2, 2, 2, 2,. Enter dne if the limi...

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) f(x) that passes through the origin...

A: Given: - The line f(x)=7-13x and the line perpendicular to f(x) that passes through the origin, To f...

Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

A:

Q: ´In²sinx In the expression dx , the integrand is tanx

A:

Q: x3 - 27 dx x - 3 Find the antiderivative of 3x2 A 9x + C .2 3x B + 2 + C 3 3x C) + 9 + C D x3 - 3x2 ...

A: We have to solve the integral

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 ...

A:

Q: Evaluate the given function ſ sec5xtanxdx a. sec*x + C b. sin*x + C c. cosx + C d. 금esc5x + C

A: topic - indefinite integral

Q: If f(r) 2x(sin z + cos ), find f'(z). f'(#)- Evaluate the derivative at a = 3. Enter an approximatio...

A: Given query is to find the derivative of the expression.

Q: ft ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates a...

A:

Q: Find the value of k so that the value of (2x - 1) dx is 4. A 2 B) 5 c) 4 D) 3

A:

Q: Answer the given problem. Write your solutions and final answers on the given answer sheet. x2+4x+4 ...

A: Limit of function

Q: The derivative g' of a function g is continuous and has exactly two zeros. The second derivative g'"...

A:   a) Evaluate integral from 5 to 1 of g'(x)dx. (problem also attached as a picture). Show your work....

Q: Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2) = 31.

A: This question is related to function and their derivatives.

Q: Assume that ƒ(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on...

A:

Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

A:

Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D U...

A:

Q: Find the sum of the infinite series, if it exists. -16 -64 32 8, , 5, 27· 3 Enter the sum as a fract...

A: The given infinite series,8, -163, 329, -6427,.......