Consider the sequence 18 n cos(nn) an 2n 1 Write the first five terms of an, and find limn→∞ an. If the sequence diverges, enter "divergent" in the answer box for its limit. a) First five terms: b) limn→o an =

Q: driver driving along a highway at a steady 41 mph (60 f/sec) sees an accident ahead and slams on the...

A:

Q: 1. Consider the region bounded by y = x and y = Vx, shown below. | Y Find the volume of the solid ob...

A:

Q: What is the antiderivative of the integrand dx ? 2e*

A:

Q: Scin'se dx

A: In this question we have to find the Integration.

Q: Given that "h(x) f(x) = r h(-1) = 5 h'(-1) 8 Calculate f'(– 1). Hint: Use the product rule and t

A:

Q: бх2— 2х +5 dx? 2х + 1

A:

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

A:

Q: The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x. (a) Find C'(...

A:

Q: Determine whether the integral is convergent or divergent. 1 5 dy 4y - convergent divergent If it is...

A:

Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 : (inpu...

A: We will use the definition of derivative to find r'(1) as shown 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: () 20. (x. y) = sinx cos y, P =

A:

Q: The equation of the curve is given as y = 3x + 1

A: topic - slope of curve at a point

Q: Assume that f(x) and g(x) are both differentiable functions for all x. Find the derivative of the fu...

A:

Q: dy If y (t+ 2t + 6) (7t + 6), r find dt dy dt

A: Given  y=t2+2t+67t2+6y=7t4+6t2+14t3+12t+42t2+36y=7t4+14t3+48t2+12t+36

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

Q: 2 91 If A = 1+y 4 0 and B = 5 3 31 [0 2 91 40 find the values of x, y. l2 3 3] x2 2

A: We have to find X , Y values  

Q: Question 1 Let f (x, y, z) = In (1+ x³ + y4 + 25) Find an equation for the tangent plane to the surf...

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: (c dx Since y=x?e-6x2 has a vertical asymptote at x=0, the integral is improper. Since y=x?e-6x2 has...

A:

Q: Find derivative: (b) y= -3x" 4

A: We have to find the derivative of given function.

Q: The accompanying graph shows the hypothetical cost c= f(x) of manufacturing x items. At approximatel...

A: Solution ) cost  c = f(x) Marginal cost = d c/ dx                            = f'(x) Change in margi...

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: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember...

A: We have to find integral

Q: If f(x)dx=6, | f(x)dx=2, and] f(x)dx= - 3, find / f(x)dx. B 3.

A: Given query is to find the value of the integral.

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: 4(1+In²e) -1 d0 Otan -'(In®)

A: topic - indefinite integral

Q: 1. Scos }y sin ydy

A: topic - indefinite integral note- as per bartleby guidelines ,we are supposed to answer only first q...

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

A:

Q: The cost of certain piece of machinery is $700 and its value is depreciating with time according to ...

A:

Q: If ƒ (x)dx=6, f (x) dx=2, and f (x)dx=- 3, find f (x)dx. 3 A) -3 B) 3 c) 4 D) -4

A:

Q: Determine whether the integral is convergent or divergent. 4 dx (x - 6)3 convergent divergent If it ...

A:

Q: Determine whether the integral is convergent divergent. If it is convergent, evaluate it. or sin?(a)...

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an=e2n/(n+2...

A: Given that - an=e2n/(n+2) an=ln(n+1)-ln(n)

Q: A particle moves along a straight line and has acceleration given by s"(1) = 41 +3. Its initial velo...

A:

Q: Use Gauss-Jordan elimination and LU decomposition to solve: 2x1 + x2 – X3 = 1 5x1 + 2x2 + 2x3 3x1 + ...

A:

Q: 1 Describe how the graph of the function g(x) = Vx can be obtained from the basic graph. Then graph ...

A:

Q: have the cartesian coordinates x=3, y=9, z=3.  please show me how to convert to cylindrical coordina...

A: Given: x=3, y=9, z=3.  

Q: (1 1 1) \ Find the co-factor matrix of | 2 4 \5 8 9. Find the adjoint of matrix A if A = d)

A:

Q: Suppose we need to find an equation of the plane that passes through the line of intersection of the...

A: Since, we know that equation of a plane passing through the intersection of planes P and Q is given ...

Q: Please explain generally (with words) with a step-by-step example of how to convert a quadratic in s...

A: Let the given quadratic function y be of the form, f(x)=y= ax²+bx+c We take that, a- coefficient of ...

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,.......

Q: A particle moves along a straight line and has acceleration given by S"(1) = 4t +3. Its initial velo...

A:

Q: 1 10. cos 0 tan 0 +1 2

A: .We will verify the given identity.Below find the solution in image.

Q: 30 f(t) dt = 11 f(5) = 23 • f(30) = 27 f(6 In(x)) dr Evaluate:

A: Given: ∫030f(t)dt=11...............(1)f(5)=23.................(2)f(30)=27................(3)

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

A: topic - derivative

Q: Given the differential equation y" - 6 y' = 0 Determine the Characteristic Equation for the Differen...

A: First we find out the characteristic equation of the given differential equation.

Q: Which of the following is not true? If (x) – 8 (x) ]dx = - frena- fawra (x) dx – A 8 (x)dh If (x) · ...

A: Here we will check one by one as shown below

Q: The limit of a constant is equal to the constant itself regardless of any value of x nearer to a num...

A:

Q: 1. Given : %3D 13 4 -6 -4 4 A = 24 4 12 2 8 - S 4 6. 3 2.

A: