Let F be a continuous function on [a, c} , where a < b< e, and F(z) dz = 6, F(2) dz = 9 A. Evaluate /' F(z) dr B. Evaluate - [ sF(2) dz В. 5F(x) dz +

Q: Describe the interval(s) on which the function is continuous. f(x) = sec 7EX 8 ..., (-16, -8), (-8,…

A:

Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: Local linearization is used to justify L'Hopital's Rule when f and g are differentiable and…

A: Not only zero , when both f(a) and g(a) are infinite , in that case we can also use L'Hospital rule

Q: Is the function f : Z→Z defined as f(n)=n^3+2 one-to-one ?

A:

Q: Let f(x, y) = x* /I Evaluate f(3, 0)

A:

Q: Express the range of the function using roster notation: a. S= {2, 3, 4, 5} f: S→Z such that…

A: Here given a set and a function defined on the set. We need to express range of the function using…

Q: What is an example of a function f : [-2, 2]-->R which is not differentiable at -1 but which is…

A: To find an example of a function                                   f : [-2, 2]→R which is not…

Q: Find constants a and b such that the function 3– bx, if x>-2 f(x)=- -1, if x=-2 ax – bx, if x<-2 |…

A: Given query is to find the value of a and b.

Q: Let f(x, y) = e²x* %3D Evaluate f(3, 5)

A: Given :   f ( x, y) = exy x4   point ( 3,5)

Q: af ?x of ду = = af * \f f(x, y) = C(xy)", with \xy| < 1, find and af = : ду n=0 #

A:

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

A:

Q: each

A:

Q: Describe the interval(s) on which the function is continuous. (TX) f(x) = sec

A: f(x)=sec⁡(πx4)

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.