2z If f(x) = , V1+t° dt, then f'(x) : = 1 Select one: a. -2x/1-8r3 ****** b. -2x/1+ x C. -2/1 – 8x O d.-2/1 +r²

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: d Evaluate the following derivative: dx (1 + t² dt. Oxv1 +x4 + v1+x² Main Content None of these O…

A:

Q: --1/0 -1 -1 1,0

A: As we can see  in the figure the tangent line passes through the point x=2. Slope of tangent line…

Q: Differentiate y = Væ + Vx + Væ. y =

A: We need to differentiate the given y with respect to x

Q: Differentiate. f'(x) = f(x) = ax + b cx + d

A:

Q: The number of product units q assembled during one shift is a function of the number of employees,…

A: Given,          The number of product units q assembled during one shift is a function of the number…

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

A:

Q: Find the derivative of the function. q=V19r - r7 19 - 7,6 B)- -776 1 A)· V19r - r7 2V191 - 17 C)…

A:

Q: Consider the function f (x) = 25 + 3x² – 7x + 2+4. What is f' (2) ?

A:

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

A:

Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: F = (2+-1) dt

A:

Q: Differentiate the function. R(a) = (6a + 1)² R'(a) = 12 X

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.