Eliminate the arbitrary constant c from the relation y - cx = 3c +1.

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

A:

Q: what is the equation of the following linear unction f(x) through the points (-5, -2 and (7,-3)

A:

Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

A:

Q: Does the function y = e-3t satisfy the following differe y" + y' + 12y = 0

A:

Q: find the specific function values. ƒ(x, y) = x2 + xy6 ƒ(-3, -2)

A: Given function:

Q: Determine two positive numbers e and f whose product is 27 and for which the value of 4f +3e is a…

A: Product is 27 and 4f+3e is a minimum.

Q: Find the domain and range of this relation { (x, y) RxR: V+3}?

A: Given query is to find the domain and range ofbthe relation.

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

A:

Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

A:

Q: If f (x) is a linear function, f (1) = 0, and f (2) = 1, what is f (3)?

A: fx is a linear function such that f1=0 & f2=1

Q: Find the domain of the function f(x,y)= exy/ x-y2

A: Answer-

Q: Examine the function f(x, y) =-3x-4y+15x - 16y + 6 for relative extrema.

A: Here we have to find relative maximum.  The solution is in both 1st and second steps.

Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: 5. Eliminate the arbitrary constants from the relation y = Ae* + Bxe²*.

A:

Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

A:

Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

A:

Q: Use C to represent the arbitrary constant. y =

A:

Q: Find a function y(x) such that 4yy' = x and y(4) = 6

A:

Q: Find the linearization for f(r) 10, and use it to approximate 12 near a=

A: We want to find the approximate value of 112 by linear approximation of the function ,fx=1x by…

Q: At which integer value of x are the functions y + 12 and y = A closest to being equal?

A: solve the above question by two type: 1) Graphically:

Q: Find dz implicitly of the relation r + y³ = 3ry.

A:

Q: Draw the domain of the function: f (x, y) = Vx² + 9y² – 36

A: Please refer the attached image for complete solution. THANKYOU.

Q: Find the linearization at x = a. g(x) = 20x² x - 3 a = 12

A:

Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

A:

Q: Find y as a function of x if x²y" – 3xy – 12y = x², y(1) = -7, y(1) = -7. y =

A:

Q: Calculate R5, M5, and L5 for f (x) = (x2 + 1)−1 on the interval [0, 1].

A:

Q: 1. Identify each of the following relations as linear, quadratic or exponential. (a) y = -3x - 7 (b)…

A: According to Bartleby guidelines, We are allowed to solve one question at a time. So here is the…

Q: Give the interval where y is decreasing y=x²e^x

A:

Q: R ,,D المناسبة ل لداله الاتية : س / أختار قيمة x-2 f(x) = x+2

A: Root of the function is 2.

Q: The value of shares (V) after (t) days is given by the relation V = 3t + 10vt + 167. After how many…

A: The value of shares (V) after (t) days is given by the relation V = 3t + 10√(t) + 167.

Q: x – 1 is The domain of f(x)=y=. X +2

A:

Q: Sketch the natural domain of f (x, y) = V(2x² +2y² – 8.

A: The find the domain of a radical function, f(x,y)=2x2+2y2-8, the radicand must be nonnegative,…

Q: Find a function y(x) such that 2yy' and y(2) = 5. y(x) :

A: Given that 2yy'=x   and  y2=5. Solve the above equation as follows.…

Q: f (x) = x 2 satisfies the Horizontal Line Test on the domain {x : x > O}.

A: Horizontal line test is a test used to find the function is injective that is one-to-one. First…

Q: Find a function y(x) such that 4yy' = x and y(4) = 7.

A: Answer

Q: Suppose that y is a function of x. Find y' if 2x°y - 3 = 2y + 5.

A:

Q: Find f, (x.y) if f(x.y) = x² - 7xy – 9y². (x.y) =|

A:

Q: 2 Ax.y)3+ V 3x + 3y

A:

Q: Describe the domain of : 4) f(x, y, z) = /1– x² – y² – z²

A: This is a square root function in 3 dimension and it should be defined on the real line. So, we have…

Q: Consider the function f (x, y)=-2x'+3x'y+2 y°-9y+5

A:

Q: Suppose that f(x, y) = 4x + y on the domain D = {(x, y) | 1 < x < 2, a < y < 4}. D

A: Solution is in step 2

Q: find the maximum and minimum values of f(x,y)=x3+3xy2-3x2-3y2+4

A:

Q: Find constants cq and c2 such that the function y(x) cje + c2e° satisfies y(0) = 1, and y' (0) =…

A: The values of constants c1 and c2 of the giben general solution of differential equation satifying…

Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

A:

Q: Use the graph of f(x) = ex to obtain the graph of g(x) = eX. %3D %D

A:

Q: Find the extreme value of the function f(x,y) x + y3 - 3x - 12y + 20.

A: To find extreme points of the function f(x,y) we put fx=0 and fy=0. Then we put the extreme points…