sin x - x limg0

Q: cosh(7)=

A: cosh is hyperbolic function. Formula for cosh is given by, cosh(x) = ex+e-x2

Q: sec4 dx

A: The integral is . Let . Differentiating both sides.

Q: Let f(x) = VX (a) Find the linearization of f(x)centered at c = 1000 Call it L(x). (b) Use your…

A: Given function is fx=x3. The linearization of a function fx centered at c is given as: Lx=fc+f'c x-c…

Q: X+5 %3D Simplify f(x +h)

A: Real Analysis:

Q: lim x-0 (cos20x) 7/20x^2

A:

Q: ∫e1/x/x2

A:

Q: ス lim X -2 メー> 2 メ

A: To find the limits

Q: x^2(1-2x)^5 Find y`

A:

Q: lim V8+X -2

A:

Q: The indicated function y(x) is a solution of the associated homogeneous equation. Use the method of…

A: Introduction: In order to simplify the problem, first-order differential equations that have been…

Q: 6/x-1/x/x-1

A: Known fact:

Q: s coszy -sinzy)du

A: To find, ∫cos 2x - sin 2x2 dx

Q: x-3/x+1 > 0

A:

Q: lim x2 + 4х + 3 X→-1 1 O 2

A:

Q: Obtain the general solution to the equation. dx y + 6x = 2y dy

A:

Q: 3/4-x/8=1

A: Solve the equation as follows.

Q: lim 3X=12x→4

A: We can show this by substitution  We plug x=4

Q: 15 m 60°,* 10 m

A:

Q: 2х3-2 lim х-1/(х-1)2 x→1

A: It is given that,    limx→1 2x3-2x-12 We have to evaluate it.

Q: Lim 5火 +3 X-> 2Xー1

A: Here we have to find the limit value.

Q: Use a right triangle to write csc(arccos(3*x/2)) as an expression of x that does not involve trig or…

A: Given:The expression csc(arccos(3x/2))

Q: dim (2+ e")

A: We need to evaluate the following limit limx→∞2+exe-x

Q: x^7+i=0

A:

Q: . lim e²x-1 X30 3x+4 sinx

A: given limit is of 00 indeterminate formso, apply the L'Hospital's rule to solve the limit

Q: L {te* - 5) U(t - 5)}

A: