It has second order partial derivatives. (p and V) (a) z = 9 (x – ay) + ¥ (x – ay), ৫२०, dx² 0;

Q: 1. Find the function y(t) satisfying y' = ev-t(1+t?) sec y with y(0) = 0.

A: Claim: solution for with y(0)=0. Integrating both sides we get, Take u=e-y then du=-e-y  and…

Q: Determine which of the following equations defines y as a function of x. (a) x-y = 16 (b) x-2y = 8

A: x-y2=16 On simplification, we get ⇒y2=x-16⇒y=±x-16 Clearly for each value of x, there are two values…

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

A:

Q: A function is defined by z = x2y - xy2. Identify the independent and dependent variables.

A: Given function is

Q: Find the next 3 terms in each sequence. Identify the constant difference. Write a recursive function…

A:

Q: a) f : R? → R, f (x, y) = Vy sin x 5) f : R2 → R. f (r. u) = GGrul + In (a2 + 1? – 1). /4 – 72 -

A: We will find the domain

Q: Determine whether the equation xy - 5y = 1 defines y as a function of x.

A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

A:

Q: quadratic function J (- nonzero integers.

A: We have to write a quadratic function of the form: fx=x2+nx+c, where n and c are non-zero integers.

Q: Do each of the following equations represent a function? a. –x+y=10 3 b. y² =x-5

A: Given that: a. 23x+y=10b. y2=x-5

Q: 65)=x3メ+-12x+8

A:

Q: a. -2 -1 2 y -7 -4 -1 2 b. -2 -1 y -4 -1 2 5 8 1.

A: point slope form :  (y-y1)=m(x-x1)where, (x1,y1) is point on line and "m" is slope of that line.

Q: 1. 6(x) = = e¯sin for y' + y cos x = 0 %3D

A: As per Bartleby guideline, we have answered only the first question. If you want to get the solution…

Q: Draw the function of y = x 2 / 3 + x2

A:

Q: 53. H(z) = sec“(/=)

A: Topic : Function

Q: Use the formula to express h as a function of x if h = 3y-2/4y and y= x-4

A:

Q: for the Function Fc)-, find %3D

A:

Q: 1 3 In y = In (5x + 7) - - In (x + 9) + In C 3

A: The equation is given by 3ln(y) = 12ln(5x+7)-13ln(x+9)+ln(C) To determine : The expression for y as…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: