Solve the ff. first order DE using Separation of Variables 2 a. xy¹dx + e*dy = 0

Q: x+2 2x²+5x+2 11. Find all x values at which f(x) discontinuity and redefine the function to make it…

A:

Q: The table shows the purchasing power of a dollar in recent years, with the year 2000 being the base…

A: We need to determine exponential equation.

Q: Find an equation for the plane that passes through the point (1, 8, −9)

A: we will find the required equation of plane .

Q: On equation (iv), why is d/dz of 3z^3 is equal to 3z^2, shouldn't it be 9z^2?

A: Yes, you are right. There is mistake in equation (iv). Correct solution is shown below.

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

A:

Q: PZ π/2 54 3 2 1 -2 -3 -4 -5 Find lim f(x) = The graph of the function f(x) = tanx is given above for…

A:

Q: Use the formula for nCr to evaluate the expression 4C4.

A: Given: The given expression is:  4C4. n = 4 r = 4 Formula Used: Crn = n!r!(n-r)!

Q: = = '1' (a) 21 = 6e-i (b) z2 = 21, (c) 23 (d) z4 = 21 + Z2, (e) 25 = 21 - 22. 2122, 2п 3

A: We have given some complex number problems in Euler's Form. We have find the real and imaginary…

Q: Example: A particle moves in a straight line according to the positon function s(t) 0.5 sin(6t) + 8…

A: We can solve this as follows:

Q: Use the chain rule to find the derivative of f(x) = 4√/10x¹⁰ + 6x6 Type your answer without…

A:

Q: Let f(x)=9x^2/4−3x then  f'x= f''x=

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Consider the ellipsoid x² + y² + 3z² = 8. Find all the points where the tangent plane to this…

A:

Q: The point 2 is in the range of the function given by f(x, y) = True False 2x² x² + y²

A: We can check whether the statement is true or false .

Q: Find the equation of the tangent line to the graph of f(x) = √x + 100 at the point (0, 10).

A: Given query is to find the equation of the tangent.

Q: Graph the upper branch of the hyperbola y2 - 16x2 = 1.

A: Given the equation of hyperbola:- y2-16x2=1

Q: Find equations of all lines having slope -3 that are tangent to the curve y=3/x-8

A: y=3x-8we need to find the line that are tangent to this curve

Q: 2. Find the critical values of f(x) = x² +2 Find the open intervals on which f(x) = x¹ +8x³ is…

A:

Q: Find an equation of the line that satisfies the given conditions. x-intercept −10; y-intercept 8

A: given data x intercept =-10 y intercept = 8 this is question of geometry cartesian further…

Q: Determine whether the planes are parallel or identical. -7x + 2y - 9z = 7 21x 6y + 27z = 20 The…

A: The given planes are: P1:   -7x+2y-9z=7           and          P2:   21x-6y+27z=20

Q: You can choose from two pairs of jeans (one blue,one black) and three T-shirts(one beige, one…

A: Given Data: Number of black Jeans=1 Number of blue Jeans=1 Number of T-shirts n=3

Q: 2. For the function f(t) graphed here, find the following limits or explain why they do not exist.…

A: Given the graph of a function

Q: 1. Find the slope of the curve x²+ y² -6x - 4y - 21 = 0 at (0,7). Compute also the tangent line and…

A: Since you have posted multiple questions I can do first question as per our company guidelines.…

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

Q: 2y Suppose f(x, y) = sin X in the direction of (1, 2). Then, 2y 2y i (a) ▼ f(x, y) = cos(2)21 +21) X…

A:

Q: Use the formula for nCr to evaluate the expression 12C5.

A: Given: the given expression n: 12C5. Formula Used: Crn = n!r!(n-r)!

Q: Calculus Find the radius of convergence for the series (2n)! (n!)2x¹.

A: ∑n=1∞ 2n!n!2xn

Q: 9x²9x + 54 x³ + 3x 1² dx

A:

Q: DIRECTIONS. Indicate the degree and determine the solution of the following equations. 2.  (3x² -…

A: degree is one .

Q: differentiate H with respect to G H-3e20G Select one: O a. H' = 60e 20G - 3/5G^(4/3) Ob. H' =…

A:

Q: PZ π/2 4 2 1 79 -3 -4 The graph of the function f(x) = tan x is given above for the interval a € [0,…

A: Given query is to find indicated limits and vertical asymptotes.

Q: Solve the ff. first order DE using Exact Equations b. (y² − 2xy + 6x)dx − (x² - - 2xy + 2xy + 2)dy =…

A: To solve Differential equation.

Q: 5. y = x²lnx 6. y = e-*csc2x

A:

Q: Find Vw. w = xe³y sin 6z NOTE: Give your answer in unit vector notation; that is, in terms of i, j,…

A: Given, w=xe3ysin(6z)

Q: Which one of the following could be the graph of the curve given parametrically by x(t) = sin(t +…

A: Here we have to draw the graph of given parametric equations. We have x(t)=sint+sin(t)…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim arctan(eX) x → ∞0

A: We have, limx→∞ arctanex

Q: 1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value…

A: To find out the average rate of change of function on the interval.

Q: Solve the ff. first order DE using Homogenous Equations. C. 3(3x² + y²)dx - 2xy dy = 0

A:

Q: . Could x^ln 2 possibly be the same as 2^ln x for x > 0? Graph thetwo functions and explain what…

A: Given functions: Let f1=xln 2 f2=2ln x

Q: The two open disks B((1, 2); 2) and B((-2, 1); 2) has intersection. True False

A:

Q: The population of Silver Run in the year1890 was 6250. Assume the population increased at a rate…

A: Given: Initial population in 1890:  P0=6250 Growth rate: r=2.75%   (a) To estimate the population in…

Q: 1. Express the given function H(x) as a composition of two functions f and g such that H(x) =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find an equation for the plane that passes through the following points. (3, −1, 5), (0, 0, 6), and…

A:

Q: Newton's law of cooling relates the rate at which a body cools to the difference in temperature…

A:

Q: Find dy/dx using partial derivatives  cos(x-y) = xe^y

A:

Q: i can't understand what is typed out

A: To solve the integral. As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: e the chain rule to find the derivative of f(x) = 4√/10x¹⁰ + 6x6 e your answer without fractional or…

A: Given query is to find indicated derivatives.

Q: Use the Fundamental Counting Principle to solve:How many different four-letter radio station call…

A: Fundamental counting principle:- A rule for counting all possible outcomes in a scenario is known as…

Q: A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 15-…

A: Given query is to find indicated limit.

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Find the dimensions of the region which enclose the maximum area