an+1 1. lim 0.5 an an+1 2. lim =1 an ant1 3. lim = 2 an

Q: 6х3-5х2 +9х+15 Зx+2

A:

Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

A:

Q: Consider the following function and closed interval. f(x) = x³ -, [-5, 2] Find f'(x). f'(x) = Find…

A: see below the answer

Q: Solve: (2y cos x + sin* x) da 4 = sin x dy O y csc x + cos ¤ = O y csc x – cos a = C O y csc? x +…

A:

Q: The total cost to produce x handcrafted wagons is C(x)= 80 +3x -x +5x°. Find the marginal cost when…

A:

Q: Consider the function f(x) = 4 – 2x", - 4 < x < 2. The absolute maximum value is and this occurs at…

A:

Q: 1. [0, 3). Find the area between the graph of y = x and the x-axis over the interval

A:

Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

Q: 10. f(x) = x² + x + %3D 1 x2

A: Derivate both side with respect to x

Q: Find the critical numbers of the function. g(x)%3D8X+sin 8x

A: Given query is to find the critical numbers for the function.

Q: At the beginning of an experiment, a scientist has 124 grams of radioactive goo. After 270 minutes,…

A:

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: Answer to the subparts are given ,

Q: PART 1. Complete the table Tre Lf (x) f (x) f'(x) f'(x)dx (2) (1) f(x) = 3x* – 5x³+ 6x2 - r + 7 (1)…

A: The given function is  f(x)=3x4-5x3+6x2-x+7.

Q: If u(t) = (sin(2t), cos(5t), t) and v(t) = (t, cos(5t), sin(2t)), use Formula 4 of this theorem to…

A: We will find the dot product.

Q: tan -x -dx is equal to ONE of the followir The integral (HINT: Use Maclaurin series) Σ n=0 2" +'(2n+…

A: Here is the solution

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

A: Solving

Q: 1. x'-11/x +2 dx

A:

Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: Let the dimension of the rectangular garden be:                             Length=L and Width=W…

Q: Suppose that f(x) = 2x-4 + 3x-2. Evaluate each of the following:

A:

Q: Determine the area enclosed by f(x) = a° + æ? – æ + 7 and g(x) = æ³ – 2a + 27. The region in…

A: Here  we have to find the area bounded by the curves.

Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

A:

Q: For the function f(x) given below, evaluate lim f(r) and lim f(x). -2+3e 6e + 4 f(z) If the function…

A: We have to find out the limit

Q: 6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

Q: 15. Evaluate each limit below. Write oo if the limit is infinite. x2+x-6 (a) lim x-2 x2-4

A: Here we have to find the limit of the function.

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places.…

A:

Q: )Lim. 2. H-HCOSX-2Sin x

A:

Q: (a) f(x) dæ %3D

A:

Q: O Find dyldx if y = x In(x).

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

Q: A woman wants to construct a box whose base length is twice the base width. The material to build…

A:

Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

A:

Q: The graph of f(r) is given below and F(z) = -2 Find F(4)- a) O 12 b) 06 3 c) O d) O e) 09

A: The given data is: The graph of fx is given below and Fx=∫0xftdt    To find the value of F4

Q: ................................................................ .......... ....................…

A: Find time t. Given rate r=12% Compounde interest formula A=P(1+r/n)nt Amount = 2P

Q: V-5 – x + 5 if x 6 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A:

Q: The graph below is the function f(x) 03 -5 -4 -3 -2 3 4 -2 -4 -5 Find lim f(x) = x→ -1 Find lim x→…

A:

Q: Let Ax) = (x- 1)/3+3 with domain [0, 8], which of the following is true about %3D the graph of f? O…

A:

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: Find the curvature of r(t) = (9t, t2, t) at the point (9, 1, 1). Need Help? Read It Watch It

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Suppose that F(x) = f(t) dt, where 14) = [" V3 + u° du. %3D Find F" (2). F" (2) =

A: We have to find the value of F"(2).

Q: Ln(Sinx)dx

A: We need to solve D.E. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t) ||r(t)||* r(t) = 8 cos(7t)i + 8 sin(7t)j + 3t

A:

Q: A ball is thrown into the air and its position is given by h(t) = - t2 + 73t + 10 where h is the…

A:

Q: 3. Write each quadrant bearing as an equivalent true bearing. a. S12°W b. N50°W

A:

Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

A:

Q: 6+ 4 3- 2. -3 -2 -1 2 18 For the above rational function f( x) = 2.5x2 + 3.5 identify the interval…

A:

Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

Q: Use the One-to-One Property to solve the following equation for x. Sx-1 = 27 1 3 8

A:

Q: 2x-x -2x +1 3 2x-1

A: