Question 2 Find dy at x=0 for each part below. dx x sec (ax+) a) (here the answer should be in terms of g and b, assume that bz - 2). y= b+ax+2

Q: 6х +5 dx Find Vx

A:

Q: fsin a? dx

A: I have appended the formula used in the solution part

Q: fla +h) – f(a) 5. For the function f(x) = 3x° - 6x² + 3, calculate where a = 5 and a. h = 2 b. h =…

A:

Q: 7x? +6 Find dy for y = X 7x -6 dy =

A: Given that, y=7x2+6x Differentiating with respect to x we get,

Q: sec x dx

A: We will evaluate the given integral as shown below we will apply reduction formula to solve the…

Q: dx (1 + x) Vĩ

A: To determine the value of integral.

Q: (Vx – 1)² dx

A:

Q: Find dy/dx without changing the form of the given function and answer must be in the simplest form:…

A:

Q: 10. Given: CH bisects ZDHG , mGF = (2x + 6) , and mDC = (7x – 1)'. E H C G F

A:

Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: dx x +1 x1

A:

Q: Determine the value of- dy - at (0,0) for the following expression: 3x² +2y = 3x – 2y dx 10.

A:

Q: Solve the equation sin u = -1, for 0 … u 6 2p.

A: Given, the equation sin u = -1, we have to solve this equation in [0, 2pi).

Q: 5-2 L(e?"cos2t) = %3D (s - 2)? + 4 Select one: True False

A: Laplace Transform: Given a function defined for all real , the Laplace transform of is a function of…

Q: 2. (x+53y)e dydx %3D -1J0

A:

Q: 1 Evaluate J (37 + x°) dx

A: On solving this integration we will get

Q: E (x+1) xp:

A: Given integral is, ∫x+112x52dx.   It is integrated as follows:   Apply u-substitution: u=x+112…

Q: dy as a function of x. Write the function in the form y = f(u) and u= g(x). Then find y = (- 2x +8)…

A: We know that ,  if y = f ( u ) and u = g ( x )  Then  dy / dx = f ' ( u ) • g ' ( x )

Q: Change (x + 9)? + y? = 169 to x? + y? + Dx + Ey + F = 0. Change x? + y? – 8x – 8y + 16 = 0 to (x-h)?…

A: topic - equation of circles

Q: Solve (e²y - y) cosx = e sin2x dy dx Select one: O a ev + 2yev-e2cosx = c O b. e+ ye+e-2cosx = c Oce…

A:

Q: Find dy/dt. y cos (rtt-10) %3D Select one: A. -5T COs (Tt - 10) sin(7tt - 10) B.-5Tt sin (rtt - 10)…

A:

Q: Ho Find (yor dy d'y ) and (y or -) for the following functions: dx dx L 2. y= x² (x-1)² 5. y=(x²…

A: We need to find the first order and 2nd order derivatives of the given functions.

Q: 1 dx x2 + 9

A:

Q: dy 2. 3 CosX

A: This question is related to differential equations, We will solve it using given information.

Q: Express the function r = 4 cot 0 csc 0 by cartesian form

A:

Q: If y = sec x, find

A: Given :           y = sec x   To find :  d2ydx2

Q: find dy/dx. y = csc x - 4√x + 7/ex

A: To find:

Q: 27. y = 2e*√√x

A:

Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: 9. (9x + 25) (13x-19)/(17y + 5)',

A: label the points as: A,B,C,D,E,F,G and H.

Q: Find the value of y -1 Xe - Sec y

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.