Suppose * = f(). (a) Given y(xo) = Yo, when does this equation have a unique solution? = z(x, y) to transform this equation into a separable one. Show (b) Make a substitution z = how to separate the variables. (c) Construct an example of such an equation and solve it using the substitution found in (b).

Q: F(x) = 8x+5/8 G(x) = x-5/8 Are these two equations inverses of each other?

A: Consider the following inverse composition rule: The two functions fx and gx are inverse if: 1.fgx=x…

Q: Perform the following equation using PEMDAS shown in the image. Write your answer together with its…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: given the function h(x) =(3x - 6)/(2x – 4), find h-1(x) Find the equation of the line joining the…

A: a) Function, hx=3x-62x-4b) Points 3, -6 and -5, 6c) Line 4y=9-3x and point -7, 3

Q: x' (t) = -9 10 -7 (a) x(0) = - 12 -[-] x(t), 14 (b) x(x) = (c) x(-2x)= (a) x(t) = (Use parentheses…

A:

Q: 23. a) Use the factor theorem to determine the factors of the function f(x) = 10x' +41x +x- 12. b)…

A:

Q: The auxiliary equation of  of  y'''-4y''-4y'+16y=0  is r^(3)-4r^(2)-4r+16=0  . The auxiliary…

A: Given that fr=r3-4r2-4r+16, r∈3,6

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: Solve (x-1)' +(x-2)'+(x - 3)' +(x + 4)' +(x + 5)' = 0

A: The solution for the above question is as shown below.

Q: Solve for X X(A-B) = M(X-C)

A: Given:

Q: For f(r, v) = + find f(3,4) and state the domain of S(1, y).

A: We are given the two variable function here. To find the value f(3,4) we will simply put x=3 and…

Q: Solve for f(x)+g(x) f(x)-g(x)   f(x)= 3x + 2, g(x)= 2x + 5   SHOW STEPS****

A: Given that the function: fx=3x+2  ,  gx=2x+5

Q: Find the zeros of f(x) = x^2 − 6x + 10. Then, compute x1/x2 where x2 is the zero with positive…

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Q: Given that f(x) = x² 9x and g(x) = x + 9, calculate - (a) ƒ o g( – 2)= (b) g o f( – 2)= (C) f o f( –…

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Q: if z1 = i and z2= -(3)^0.5– i find the arguments for the quotient

A:

Q: Let f(x) =-3x+4 and g(x) =-x² +4x+1. Find and simplify each of the following. (5) f(-x) (6) gt-)

A: In function  f(x) ,X replace by -x and function g(x),x replace by -1/4.

Q: a) Select a point on the graph of y = -x + 2x³ + 13x² - 14x-24, where the roller coaster is going up…

A: f(x) = -x^4+2x^3+13x^2-14x-24Let's find the first derivative (f'(x)):f'(x) = -4x^3 + 6x^2 + 26 x -…

Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: Derive all the possible equations of x. Given : (x-2)^2+lnx=0

A:

Q: f(x) = 4 − 2x/(x + 1)(x + 3)(2x + 1) = A/(x + 1) + B/(x + 3) + C/(2x + 1) find the values of A,B,C

A:

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: The following table gives the number I = I(t), in millions, of adult Americans with Internet access…

A: here we can use table to solve this question.

Q: y" + 16y2x sin 4x

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Q: Let f(x)=x^2-6x+9. Find x such that f(x)=1 The solutions are nothing

A: First I have set the polynomial equal to 1  That is set,  f(x)=1 and solve for x, we get x=2, X=4

Q: Determine Duf (3,-10) for F(X, Y, Z) = 4x - y² ³ 2 3x2 of ✓² = (-1₁4, 2) in the direction

A: Given function have to find the directional derivative in the direction of vector .As we know -

Q: Solve the exact equation The solutions are of the form F(x, y) = c, where F(x, y) (x + y)²dx + (x +…

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Q: Solve for u. (u-6)^(2)=2u^(2)-15u+26 If there is more than one solution, sepa

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Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

A: