Determine whether the sequence is convergent or divergent. If it converges, find the limit. {n² tan )} 4n-

Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

A:

Q: Calculate the derivative of y with respect to x when sin(x + y) = 6x + 4 cos(y). (Use symbolic…

A:

Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

A:

Q: 2. (6x -2) dj d2

A: We have to find the double integral.

Q: An object with an initial position of x(0) = 5 has a velocity of v(t) = sin 2t. %3D %3D What is its…

A: Given query is to find the position of the object at π.

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

A: Let's find.

Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Given,            fx,y,z=xy+yz+xz , P8,9,-8 , v=16i+j-kTo find : Find the directional derivative of…

Q: 12 cos ti + 7 sin tj – k It is an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of…

A:

Q: 3-x, x + 1 1. Let f(x) = 0, x = 1 Determine the following limit using the graph. limf (x) x-1 6 + 3.…

A: We can answer the question in the below steps.

Q: Find the volume of the pyramid with base in the plane z = and sides formed by the three planes y -9…

A: To solve the following problem

Q: In the video game Animal Crossing: New Horizons, there are 21 squirrel characters who can live on…

A: Given  There are 21 squirrel characters who can live on your island. We are allowed to have 10…

Q: Describe the graph of the equation. r = 8 cos t i – 17 sin t j + k O An ellipse in the plane x = 1,…

A:

Q: In a recent survey, 52 said they had a dog, 64 said they had a cat and 25 both pets. How many…

A:

Q: Consider the following graph of an ellipse. y. 10 15 10 -5 10 15 -5 10 -15 -20 Find an equation for…

A:

Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. S(3(n –…

A:

Q: d d Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: For which values of t is the curve concave upward? x=cos(2t) y=cos(t)

A:

Q: The SMPT group at UB sells past final exams packages (small and large) for $2 and $3 respectively.…

A: topic - linear equations

Q: Let X be a random variable with mean u and variance o2, and suppose that its moment- generating…

A:

Q: Find the producers' surplus at a price level of p = $59 for the price-supply equation below. p= S(x)…

A:

Q: In constructing an open rectangular box from 48 ftf of material, what dimensions will result in a…

A:

Q: st Show all -. If s = 1+3i, t = 2 – 5i and u =– 2+ 5i then calculate your working. Write your answer…

A:

Q: Find the derivative of f(x) = log, (7x). (Use symbolic notation and fractions where needed.) df dx…

A:

Q: dy Suppose 2e-2r and y(1) = 4. dx What is y(2)? O 3.117 O 3.567 O 4.117 O 4.135

A:

Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: Identify the conic section -3x? – 12x - 5y = 37 Parabola Ellipse O Hyperbola What are the…

A: Given:         Conic section -3x2-12x-5y=37 This is in the form of standard equation 4py-k=x-h2…

Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: (10 + 5x – 2x³) dx

A:

Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: A Triangular number counts the objects that form an equilateral triangle. The nth triangular number…

A:

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

A:

Q: 2x3 + 1 x3

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

A:

Q: Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1) You…

A:

Q: 4 1 3 4 5 Let A = 1 - 5 %3D -1 1 2 –5 -2 Compute: 6A + B

A:

Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

A:

Q: The first three terms of a sequence are given by 5x +8,-2r+1, x-4 (a) When x = 11, show that the…

A: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(6,…

A:

Q: dy Suppose ax 3 and y( ) = 2. 1+9x2 3 T What is y( 4 )? Оп O 2.261 O 2 IT 4

A: See below the answer and calculation

Q: sin u cos v

A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

Q: dy 4. dt + 2, y(1) = 3 t

A:

Q: The demand curve for a certain product is given by p(q) = 517- q. The supply curve is given by p(q)…

A: We have to find the consumer surpless.

Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: dy 5. -2ty + 4e-t² dt y(0) = 3

A:

Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

A:

Q: In order to sketch the graph of f'(x), we must have a formula for f(x).

A:

Q: 2. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and…

A: