given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a hyperbola.

Q: Find cosh² (t) sinh5 (t) dt.

A:

Q: The number of bacteria in a culture is given by the function n(t) = 940e 0.1t where t is measured in…

A: To find out the relative growth rate.

Q: (x-2) dx = y + 2(x - 2)² dx

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Solve the given initial value problem. x³y² - y³ = 45 ³y² + xy³ = 18 x²y² + xy³ = 90 x¹ y² + y² =…

A: Here we have to solve the differential equation.

Q: Evaluate the 106 -20 (-7m+300)

A: We need to evaluate: ∑m=-20106-7m+300

Q: 1. Find when y = In (-²). dx Express your answer in a single fraction.

A: The given function,     y=lnx5-2x

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: solution:-the weekly online sale s(t)=600et in dollarsthe formula to find the average value of a…

Q: R: y² = 4x, x² = 4y axis of revolution: x = 4

A:

Q: Suppose that the polynomial function fis defined as follows. f(x)=(x-13)²(x-8)³(x+4)³ List each zero…

A:

Q: The value of the following limit Lim (cos(x)) cou(x) is: A4

A: This question can be solved using the concept of limits.

Q: Problems: Solve the following differential equations: 3- (2x+y)dx+(x-2y)dy=0

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 5

A:

Q: Use the graph of the function f shown to the right to find f(-1), f(0), and f(1). f(-1) =

A:

Q: Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x = 3. / f(x) = x² - 7x +…

A:

Q: 4. Find an equation for the plane through (1, 3, 4), with normal vector . 5. Find parametric…

A:

Q: Let f (x) = log (x² - 2x) and g(x) = ²1. Which expression represents (fog)(x)? zlog (2²-27) log…

A: Given query is to find indicated function.

Q: Determine the center and radius of a circle given that its equation is x² + 12x + y² - 6y = 4 Use…

A:

Q: A. Solve the following 1st order differential equation: dy (4 y + cos y). - 3x² = ( 0 dx B. Solve…

A:

Q: In the process of calculating the inverse LaPlace of the function: F(s) = -21 - arctan (15) you…

A:

Q: 1. For the function f(x)= x³ +5x²+2x-8, explain how you determine which integral values of x you…

A:

Q: 1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to…

A:

Q: Find the time it takes for $9,800 to double when invested at an annual interest rate of 18%,…

A:

Q: A person standing close to the edge on top of a 96-foot building throws a ball vertically upward.…

A:

Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

Q: Find (dy/dx) for: tanh ¹(x y) + e(x+y) 5 cos(y)

A: We have to determine derivative

Q: 5

A:

Q: Find the given limit. 2 X-4 lim 7-x X--7 Select the correct choice below and, if necessary, fill in…

A: Find the limit

Q: -32 1 ย X

A:

Q: Use the Lagrangian method to minimize f(x, y, z) = x² + 2y² + z² s.t. x² + 2y + 3z = 8 Find the…

A:

Q: In(1+x)

A:

Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x): x + 2 = x = 3

A: The given function is: fx=x2-7x+12x+2, x=3 Show that f has a removal discontinuity at x=3

Q: Evaluate 5² dV where E is the region below zx +2y + 4z = 8 in the first octant. Da B

A: Given problem:- Evaluate  ∫∫∫E  5x2dV where E is the region below x+2y+4z=8 in the first octant.

Q: Hand written plz 9. Find inverse Laplace: es S

A:

Q: 2. In π 2 π ln - 4 e* cos(ex) dx

A:

Q: Find the limit, if it exists. (If an answer does not exist, 3 - xy ху lim (x, y) → (2, 1) x² +2 +9y²

A: We will apply the limits.

Q: Determine the center and radius of a circle given that its equation is (x + 10)² + (y − 4)² = 4 Use…

A: Explanation of the answer is as follows

Q: 2) f(x) 3 F 2 8.x

A: Topic = Functions

Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A:

Q: Find the derivative of the function. y=-5e-4x+1 dx 11

A:

Q: 1 Find the domain for each function, stating your answer in interval notation. (a) f(x) = 4x - 3…

A:

Q: te the function for the given values of 3) [-2x+5, for x < -1 f(x)=x²-4, for-1 ≤x<3 for x ≥3 12, (a)…

A:

Q: Ive the given differential equation using two (2) methods. (x² + 6y2) dx - 4xydy = 0; if x = 1, y =…

A:

Q: (a) ƒ (t) = €²t sin (3t)

A: This is a problem related to laplace transform. Based on the general formula and concept we will…

Q: Evaluate the iterated integral. 2 *4z [In(x) f Jo xe Y dy dx dz

A:

Q: 7- cos y dx + (x siny-cosy)dy = 0 8- (1+ y²)dx + (2xy + y² + 1)dy=0

A:

Q: Find the average value of the function f(x)=x²-9 on [0,3]. The average value of the function…

A: The given function is  f(x)=x2-9

Q: Consider the following polynomial function. f(x)=x (x-1)(x + 1)² Answer the questions regarding the…

A:

Q: D Question 15 Find the value of b such that the function f(x) is continuous everywhere. x² + a if x…

A:

Q: 6- xdy+(2y-x²-1)dx=0

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: The result of A-(B x C)+ Ax (B.C) may be: × O 21+3j O D 21+2j-k O

A: