Let f(r) = 2x3 - 6x + 5 then f(x) is increasing on |3D Select one: O a (-00,-1], [6, 0) Ob.(-o,-1], [1, 0) Oc-1,1] Od. [1, 00)

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

A:

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: a2f ду? 1 If f(x, y, z) = - 2+y² + find ax2 az2

A:

Q: Calculate Duf (2₁-4,1) in the direction of 9 = 2₁ +2²₁ +3k for the function f(x, y, z) = x² +…

A:

Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

A:

Q: Let f = {(-3,-4),(9,4),(4,5)}. Find f(4).

A:

Q: Evaluate: 3 f(-x² + 4x-1)dx 1

A:

Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Find: U(x1, x2) = 2X1X2 O X1X2 2x1 2 2x2

A:

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

A:

Q: Let f = {(- 2,1),(1, - 1)} and g = {(-2, - 4),(3,0),(5,6)}. Find f+g and its domain.

A:

Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: 1 dx D x(x*+ 1) Select one: a. x2 In +C b. In 2+1 C. In + 1 d. In 4 + C

A: Solution

Q: Evaluate V1-x-dx A. --(x+xvI– x-) +C B. (x+xV1%3=x) +C c. (x+xv1+x-) +C D. -(x-xVT-x-) + C xv1-x)+ C

A: Find your answer below

Q: Find xy² Una -dA, R= [0,4] × [-2, 2] x² + 1

A:

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: 3. Find the Domain of the function : h(x)= x²-5 (a) (-00, -5] U,500) (b) R (c) (-0,5) (d) (-5,5]

A:

Q: Evaluate G r. d.x. (x2+1)(x+1) 0.

A: The following integrals are useful, while evaluating the integral that is provided. ∫dxx =ln x +C…

Q: Let f(x)- 3x-4 and gix)= x² +4x +5. Find f(3) = f(-2)- 9(-3): g(2): flat2): glar2)

A:

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.