3) Prove There exists a real nubrsSo Surh thot

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

A:

Q: Prove that (23-1a,b)* = {2}-1/a})(27-1) j=1 for all real numbers a₁,..., an and b₁,..., bn. i=1

A: The detailed process is described in step 2.

Q: How 3 used a (aluchy - Schwarz invquality Fuclideran distance. the to show that matric on R"

A:

Q: find the denivahon of the Runchon bydsing herules ofditkreohe lhon fee) = 7 %3D +260 .3 2.

A: We need to find the derivative of given function. fx=7x3-8x2-1x+250

Q: Prove that sin 2x 2 cotx csc²x is an identity al 21,8

A:

Q: a) Prove Sin` 39 = 3 Sino 3 sine 4 Sin's %3D Hhence, find the valne 9 n the trianle? 30

A:

Q: Steb by step

A: We will need integration by parts for this problem. So we assume u and dv and from there find du and…

Q: S 0 ecos sin 20 de

A: Topic - Definite integral we are given ∫0πecos θsin 2θ dθand we know that∫exdx=ex+Cand integration…

Q: Which of these is a possible solution for sin²x - 1/1/72 = x = [0, 2π] ? a) O b) X = x = Oc) ₂ 元_4 П…

A: Given:      sin2x-12=0        sin2x=12         sinx=±12        sinx=12 , sinx=-12

Q: What is the tangent of 0? 6 D 6V11 11

A:

Q: 13. Write sin(tan-)) ; x > 0, as an algebraic expression of r. 49 + x² iv) 7 ii) 49 + x² iii) 49 +…

A:

Q: How to formula asin BØ + bcos BO а √a²+ b² cos (BO-C) Where C= arctan (a/b) C = arc tan (a/b), a>0…

A:

Q: (q) {0,1,2, 4, 8, 16} (s) s) {÷ :n E N and n is prime} (u) {x² : x € R} (w) {sin(): n E N} n 3

A:

Q: interral of Canbegence hero

A: