3 4. lim = 1 1 х-3 ух — 2 — V4 — х 12. х2 — 1, 2 1 5. lim х-з \x — 1

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: e the exact value of the function for the given x-value without using a calculator. ( ) f(x) = f(x)…

A:

Q: 1-x² Find lim 18² 8x² + 5° X f(x) 10 100 1000

A: To determine the limit.

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: INTEGRATION BY SUBSTITUTION dt in/ 1 t-a use t? -a? 2 2a tta

A: ∫14x2-11x+2dx

Q: For the following function:{x^3 if − 2 ≤ x < 1{3x + 2 if 1 ≤ x ≤ 4find f(−1), f(0), f(1) and…

A:

Q: Give the formula of even function?

A: To give the formula of the even function.

Q: Find all the numbers for which the function is discontinuous.

A: A function is discontinuous at a point if the functional value is not defined at that point. There…

Q: Find the range of the possible of x

A:

Q: a rectangular sheet of cardboard is 8 inches by 10 inches. Squares are cut out of each corner of the…

A:

Q: range

A:

Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x<3x+5,if x≥3

Q: 28. (A) (B) lim, g(x) (D) g(−2) _lim_g(x) (C) lim g(x) (E) Is g continuous at x = -2? Explain.

A: Topic - Limits of a function

Q: Describe the Discontinuity Functions?

A:

Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) = (x – 7)? - f(x) = 9(x) =

A:

Q: Prove that lim 1-cos t t-0 = 0 by completing the following the indicated process.

A: Given,            limt→01-costt=0To find : Prove the given limit by the given indicated process.

Q: 27. g(x) = 2x² - x - 15 x - 3 1 kx - if x # 3 if x = 3

A: Explanation of the answer is as follows

Q: Graph the piecewise function below and identify its domain and range x+1 if x<- 2 f (x) ={ 3 if -…

A: