e following: (x) = 2 + x – x², [a,b] = [0,3], p = 1 %3D he two conditions of the IVT are satisfied.

Q: C=3/7 (bw+x) for w

A: The given algebraic equation is,

Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

A:

Q: (x²y + 2xy² – y³)dr – (2y³ – xy² + =*)dy = 0.

A: Solving

Q: Consider generalizing in the following way: N customers line up for their sandwiches, and you are…

A: The probability of an event is the chances of happening of the event. It can be defined as the ratio…

Q: Find the y sec! (+) %3D

A:

Q: dy Find a if a3 + y? = 1. %3D d.x Is the function f(x) = x² + x one-to-one? Justify your answer.

A:

Q: If f(x) = x – Vx – 2, find all values of x for which f(x) = 4. %3D

A: fx=x-x-2

Q: Find dy for y = (8x + 1)2. dy = (Simplify your answer.) %3D

A:

Q: (c) Use geometry (ONLY) to find the exact value of (2x + 1) dx. Illustrate your method with a new…

A: By sketching graph

Q: y = 9(x – 1)(x+7) |

A: The given equation is   y=9(x-1)(x+7)   We have to multiply and solve this equation

Q: If y = (In x + 1)(2x³ – 3x), then will be dx

A: Differentiate wrt x

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: For f(x) = x? – 5x - 6, find f(2), f'(2), and f(3) – f(2). f(2) = a. b. f'(2) %3D c. f(3) – f(2) -

A: The given function is fx=x2-5x-6

Q: S(x+ )´ dx 2 1 X X.

A:

Q: Find the roots of the function f(x) = (2" – 1) (a2 + 2r – 3) with r ER. %3D

A:

Q: 5 Given yz - Y1 = m(x2 – x1). Soive for x2- %3D

A: Given y2-y1=m(x2-x1)

Q: хр %3D S + X хр Find at (-7, 1) if xy: %3D (Rou

A: We have to find dy/dx   at (-7, 1)

Q: If f (x) = x? +1 and g (x) = vx + 2, find f o g. %3D

A: topic - functions

Q: 3. 2. For f(x) = Vx and g(x) = , find the following: х-6 %3D the a) (f • g)(x) c) The domain of each…

A: (d) (f°g)(9) = 1   The detailed solution is as follows below:

Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: Fl)=3x"-7 and glx)=3x+18 -whatig Cg-f)(-3) what is or

A:

Q: Shows : V9x² +25 (12) dx = 3 ln 3x + V9x² + 25 V9x² + 25 + C -

A:

Q: 2. 7x' + 15x + 9x + 1 = 0. %3D Find exact value(s) for x such that (x+ 1)

A: Solve the equation

Q: Find the roots of the function f(r) = (2" – 1) - (7 +2r – 3) with z ER. %3D

A:

Q: Q.1: Find f(A), where f(x) = x³ – 2x² – 22.

A: Given: f(x)=x3-2x2-22 To find: f(A)

Q: (x+2)3 ln z y 3= (x² + 1)'/2 ° 25. Find y' when

A:

Q: IV. Exercises: Find y', y", y'", and y"" for the following expressions: 1. y = x* 2. y = 2x2 + 3x -…

A:

Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

A: