Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x) = – sin x. dx

Q: find f ′(x) for each function. f (x) = x4 + 2/x

A: f(x)=x4+2x f'(x)=dfdx        =ddxx4+2x        =ddxx4+ddx2x       =4x3+2-1x2

Q: (9.6C) Use the half-angle formulas to find the exact value of each expression. 5. sin22.5° 97 6. tan...

A:

Q: Vn? +4 6n? –n -1

A: A detailed solution is given below

Q: In problems 1 and 2, find any intercepts with the three coordinate axes and sketch a graph of the su...

A:

Q: lim v2x +3x –4- V2x² –4

A:

Q: n' n!

A:

Q: Activity 3. Solve the limit if the following given functions. Match Column A with Column B. Every an...

A: As per our company guidelines we can solve only three subparts at a time so if you need more answers...

Q: 2. Find the fourth-order Taylor Series approximation of y = In x² at x = 1.1 on the basis of the val...

A:

Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

Q: 5 -4 -3 -2 -1 -1 -2 -3 -4 Find the magnitude and angle (in degrees) of the vector shown above. Magni...

A:

Q: For the following functions y = f (x), find f ′ (a). f (x) = x2 + 9x,            a = 2

A:

Q: Given: xy=15. Find the equation of the normal line at x=5 a. 3x+5y=30 b. 5x-3y=16 c. 3x=5y d. 5x+3y=...

A:

Q: Identify the growth constant k and the carrying capacity M in the logistic equation: 8e0.441 1 +2e0....

A:

Q: っX+1\2 g(x) = x+1,

A:

Q: 2. Assume that you have lots of pennies and nickels and you start arranging them in rows of 8 coins....

A:

Q: Find the Laplace Transform of the Heaviside Function. for 01 rt f (t) =

A:

Q: For each of the following systems of linear equations, determine if it is consistent or inconsistert...

A:

Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

A: Given the region that lies under the graph of ff=5−3x22

Q: 3x+2 dx find the second derivat. 2 9x

A: Topic:- derivatives

Q: 4-4e" Evaluate lim,→0 3x+x15 4 15 4 15 4 3

A:

Q: Find the angle of intersection between the curves y = x- +1 and y = x+x-

A: y = x2 + 1,y = x+ x-1Points of Intersection;x2 + 1 = x+1xx(x2+1) =(x2+1)x = 1y = 2point of intersect...

Q: 33. Find an equation of the hyperbola which has the given properties. A) Vertices at (0, 3) and (0, ...

A:

Q: Your parents are considering a 30 year $100,000 mortgage that charges 0.5% interest each month.Formu...

A: Given  P= 100000 r= 0.5% n = 360

Q: х3-2 2. lim x→o 5x*-3x3+2x

A:

Q: 10) 3 (sin y-cos y)*dy COS COS Y

A: A detailed solution is given below

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 4 %3D 00 f(x) =...

A:

Q: Consider the function f(#) For this function there are two important intervals: C 4x 42 and (A, x) w...

A: Here, the given function is: f(x)=2x+54x+2

Q: If f(x) = / V4+ 4r° dt, then find %3D f'(x). Select one: O A. V1 + x O B. -3x² 2/1 + x3 O C. None of...

A: We have to find derivative of f(x).

Q: e +e =e**

A:

Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are re...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: f (x) = D윽과+1

A:

Q: Find the radius of convergence of the power series. (If you need to use oo or -0o, enter INFINITY or...

A:

Q: Find the radius of convergence of the power series. (If you need to use oo or -0o, enter INFINITY or...

A:

Q: 2.) f(x) = x* – 2x² + 3

A:

Q: 9x2 lim x+00 x+2

A:

Q: 2x lim x→9- 4-/25-x

A: This question is related to limits, we will solve it using given information. 

Q: |X - 41 2) + 2 <0 IX + 31

A:

Q: 3. tan e de ) 71+ In cose)43

A:

Q: find f ′(x) for each function. f (x) = 8x4 + 9x2 – 1

A: The given function,        fx=8x4+9x2-1

Q: Using the given graph, identify the limit of the following. -8 -7 -6 -5 -3 3 -2 -5 -6 1. lim f(x) X-...

A:

Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

A:

Q: solution using Integrating Factors Found by Inspection y(x^3y^3 + 2x^2 − y)dx + x^3(xy^3 − 2)dy = 0...

A:

Q: An iron rod at a temperature of is placed in a room at a constant temperature of . If after minutes ...

A:

Q: . h(x)= cot 1 -tanx

A: Given:hx=cot-11x-tan-1x

Q: Q1) A- solve the following function and show type of interval: 1) 3X < 5X –8 2) 2X2 + 9X + 4 20

A: We can solve these kind of inequalities by using direct simplification and wavy curve method.

Q: Exercises 1: Complete the table by providing the correct answers. Show your process on your paper. 3...

A: Exercises 1: The z-score can be evaluated using the expression: z=x-μσ, which gives x=μ+σ·z. Now, th...

Q: f(x) = In(x), n = 4, c = 3 Pa(x) = %3D

A:

Q: Find the equation of the tangent line to f at x = a. f (x) = 3 − 4x,             a = 2

A:

Q: 1 f(x) = (1 + x)5 00 f(x) = n = 0

A:

Q: 5. Let a = (-2, 3, 5) and b = (4, 6,-1) define the sides of a parallelogram as shown below. Dotormin...

A: Area of parallelogram