16 x5+13x3+1 f(x) = V64x10+10x8+2x4 as x→ o and x → -∞. State the Horizontal Asyn

Q: 00 Σ 3k k-2

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on [k,∞) and…

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x,…

A: We have to minimize the given function.

Q: describes the position of a particle moving along a coordinate line, where s is in feet and t is in…

A:

Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to .…

A: Given  Marginal cost = $2.50

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A:

Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

A:

Q: x° 16x6 -24x3 +9 dx

A:

Q: x2 Consider the function f(x) = - x2 -1" (a) Find the intercepts of the graph of f (if any). (b)…

A:

Q: Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0. 1]…

A: The Intermediate Value Theorem: If f be a continuous function over a closed interval [a, b] with its…

Q: C Fnd the firet order parho derivohve of 4.5 f(x,4,2)= e* +y2 1.

A: We have to find the partial derivatives.   According to our guidelines we can solve only one…

Q: Describe the end behavior of the graph of the function f (x) = 5(4)" - 10. For o, type in the word…

A:

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

A: To find out the correct options.

Q: evn+2 2+3 n=1

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, Y, z) = 4.x + 2y + z subject to æ? +…

A:

Q: 23л Find the exact value of sin 12 23л State the exact value of csc 12

A:

Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

A:

Q: Define f : R2 → R by f(x) = -9 x2 + 10 æy – 6 y² + 100 x – 62 y – 20. 1. Obtain Vf and give each…

A:

Q: 1 Determine the values of a, b and c if: 2(a,b,4) +(6,8, c) – 3(7,c,-4) = (-24,3,25)

A: We can solve this as follows:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-9)" n2 n- 1…

A:

Q: Let f(x) = ax* + bx² + 50. Determine the values of a and b so that f(x) has a point of inflection at…

A: We have to find value of a and b

Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: We have to calculate the recall percentage.

Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy+yz+ zx, Po(-1,1,2).…

A: Given :f(x,y,z)=xy+yz+zx

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation 3 =y…

A:

Q: What type of critical point is located at x =-6, if ƒ '(x) = (x – 2)(x + 6)?

A: This question is based on application of derivative.

Q: Triangle BAC is a 30°°-60°°-90°° right triangle. 600 30° A C If BC = 15, what is the measure of AC?…

A:

Q: 2x y= Arccos(e)

A:

Q: Prove the following identity: 1- tan? e cos 20 = sec e

A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &…

Q: 2x e dx 4е2х —8е" +5 -

A: The integration of the integral is  e2x/(4e2x-8ex+5).

Q: The function y(x) saifies the following equation: 2 a2 + 4 x y + 3 y² – æ + y – 3 = 0 dy in terms of…

A:

Q: +00 Q11: Given that f f(x)dx = 1 where f) - x>0 . The value of c is %3D ISO a) + b) 1 c) - 1 d) 3

A:

Q: 5. e(2x- y) = 2x - y

A:

Q: cos² (3n+7 {a,} = 3n² +1

A:

Q: ladder away

A:

Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, 1)…

A: Concept: Concavity: If the line connecting two points is above the graph, or if the first derivative…

Q: 1. Find the total differential dw. 2. w = re2u +e-V

A:

Q: Question 7 The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

A: This question is related to volume of spheres, we will solve it using given information.

Q: By considering different paths of approach, show that the function below has no limit as (x,y) ->…

A:

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) =x, a = 3 %D O A. P3(x) = 1 + 6(x-…

A:

Q: Find the arc length when y = 2 ln(sin ) and /3 << x < T. %3D

A:

Q: Find the length of the curves in Exercises 1-4. |1. y = (1/3)(x² + 2)³/2_from x = 0 to x = 3 2. y =…

A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: 7. The sides of a square are measured to be 4 in, with a possible error of = (4) in. Estimate the…

A: We have to find the possible error and rate of change.     According to our guidelines we can solve…

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A:

Q: Consider the differential equation r'y" +3ry'-3y 2a - 3r. of variation of parameters to solve the…

A:

Q: 4n+3 Зп+ 2 {a,} = Зп — 4

A:

Q: Solar Power More and more businesses and homeowners are installing solar panels on their roofs to…

A:

Q: explain

A: We will check if the fundamental theorem of Calculus is applicable.

Q: Find the linearization L(x,y) of the function f(x,y) = e 4* cos (y) at the points (0,0) and 0, The…

A: