Let lim (x+ 1)p(x)-3 and lim (x + 1)q(x) = then the Euler equation that describe these re, X-1 Select one: a. C. 2(x + 1) y" + 6(x + 1)y-y D0 d. NOT e. 2(x + 1)°y" + 6(x + 1)y+y-0

Q: f(x) – f(c) If lim exists, it equals the slope of the х — с to the graph of f at the point (c,…

A: If    limx→cf(x)-f(c)x-c  exists;

Q: 4x lim エ→-0 r2-8z+3

A:

Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

A:

Q: 3. lim,10 Vx – 1

A: The limit of any function is defined for any function F(x) on any interval that contains point at…

Q: 4. Find (\frac {f}{g} ) if ƒ (x) = 4x° –43.x+94.x-50 and g(x) = x – 8

A: Here , (\frac{f}{g})= f(x)/g(x)

Q: Vx-2 lim х-2+ Vx2-4

A:

Q: Evaluate the following: -1 x-1(x+1) xả-5x-20 x-5 x²-4x-5' x-5 lim x-5x²-10x+25² i. lim ii. lim iii.

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 3 Find and sketch the graph of the domain of f (x, y)= 14x? +16у? - 64

A:

Q: is the graph of y=1/2x+4/3 perpendicular to the gragh of y=-1/2x+4/3

A:

Q: Let - (y dx – x dy) W = (x² + y²)ª be a one-form on U =R² \ {(0,0)}, and o : V → U be the smooth…

A: Given: Let us consider the given, ω=2x2+y24ydx-xdy be a one-form on U=ℝ2\0,0 and ϕ:V→U and the…

Q: f(3+ h) – f(3) (4) 7. For f(r) = x² – 4x + 5, determine lim h0 h (6) 8. Consider the curve defined…

A:

Q: Therefore, the curve y = x* - 2x2 + 2 has horizontal tangents at x-0, 1, and -1

A: Just compute the derivative and equate it to zero.

Q: 1 ,-8 5) /17 - V17 1- v17 1- V17 y = 2(x + 2 y = 2x 2 2

A: Given :           The vertex of parabola is V12, -812.  To find the equation of a parabola which…

Q: 5. Figure Q5 shows the graph y = f(x) on the xy-plane. 54 -5- Figure Q5 (a) Does the graph above…

A:

Q: i) P(5, 25) belong to y = x, what will the point P be transformed to after the equation transforms…

A: Real valued function

Q: The point (10, 1) is on y = f(x). Determine the corresponding coordinates of this point on the graph…

A:

Q: k lim (1+†) k→∞ k

A: We have to find limit

Q: Find a parabola y = ax² + bx+c that passes through the point (2,5) and whose tangent lines at x = 1…

A:

Q: Let a, ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a=0 and 2(1-B)+ 3(1-B)-6B + 12=0 and a + B, also graph of…

A:

Q: The equation for the line tangent to f (x) at the point (7, 11) is given by y = 12x – 9. Use f(7+h)…

A: The equation of the line tangent is given by y=12x-9 Let ''m'' be the slope of tangent.…

Q: The point (2,-4) Is on the grauph of y= f(x) The point on the graph ot y- g(x),where gx)= 2€k) 1s?

A: That is,

Q: sketch h(x)=-x2-4 as a translation and reflection of f(x)=x2

A: h(x) =-x2 -4 is transformed and reflected graph of the parent function f(x)=x2 The graph h(x) is…

Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?

A: Given:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.