7. Rationalize the expression. √x² + 1 -√√x

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of J π 4' and a…

A:

Q: - Given the functions f(x) = x² + 1and g(x) = 3 − x, determine an equation for the combined function…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax→0

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Prove whether u(x, y) = x² – 2xy + y² is a harmonic function on a set D= {(x,y) | x < y}. I

A: Here, the given function is ux,y=x2-2xy+y2 on a set D=x,y|x&lt;y. The function is a harmonic…

Q: Consider the function Evaluate the definite integral f, f(x) dx f(x) A 2 X if x 2

A: The function is given by fx = 2if x&lt;2xif x≥2 To evaluate: The value of the definite integral…

Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

A:

Q: 3) Erawate the definite Integral Јц (12x2-4х +3 )dx

A:

Q: Question 33 A record is spinning at the rate of 41 rotations per minute. If a ladybug is sitting 12…

A:

Q: Are the angles 292 in degrees and 652 in degrees coterminal?

A: We can answer the question in the following steps.

Q: Let f(x) = [-2₂ if x −2

A:

Q: A truck with 46-in.-diameter wheels is traveling at 60 mph. Round answers to 2 decimal places as…

A:

Q: Find the limits. f(x) = 2x²-3x + 15, g(x)=√√x + 3 3

A:

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and…

A: The sum of Infinite Geometric Progression of the form ∑n=0∞an where -1&lt;a&lt;1 is given by 11-a

Q: x³ - 3x²y = C

A:

Q: If y = e Oe3 Oe 3x X² O 2e3 O 3e³ then dy dx at x = 1 is

A: To find derivative of given function at x=1

Q: 5. Let F(x, y) = ei + xej be defined on a smooth curve C given by the vec function r = ti+t2j for 0…

A: A detailed solution is given below

Q: ● Question 3 The height of a right triangle with base angle 45° and base 4 is

A: Given query is to find the height of the triangle.

Q: Let f(x) = xỉ - 5x - 36 x-9 Find a) lim f(x), b) lim f(x), and c) lim f(x). x→9 x→0 X→-4 ... a)…

A:

Q: The number of male alates (winged ants) in an ant colony has been found to be approximately a linear…

A:

Q: 9. What is the period of the function f(x) a. 4π 5 b. 2 C. 2₁ = 2 (sin x)? d. 5π 2

A:

Q: The degree of the polynomial function f(x) = x(x − 1)³(x + 1)² is a) 3 b) 4

A: Given function f(x)=x(x-1)3(x+1)2 We have to find its degree. Remember : Degree of a polynomial is…

Q: 2. The equation f(x) = 4cos(45(x − 2)) + 7 describes the depth of the water in a harbour, in terms…

A:

Q: Explain how each of the following features relates to a function's derivatives and curve sketching.…

A:

Q: 100 fingerlings were released in a pond in 2005. By 2012, there were 324 fishes in the pond. The…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: ) L(3.98) where L(x) is the linearization of y = √√x +3 at x = 1 (tangent line approximation)

A:

Q: Find the volume, V, of revolution about the x-axis for the region under the graph of f(x) = e¯* over…

A:

Q: 7. Now let f(x) a. f(1) = b. f(1+h) = C. = ƒ(1+h) - f(1) h *+¹ and h ‡ 0. Compute the following and…

A: Given f(x)=x+1x, And h≠0

Q: G(G(x)) = 1/((1/x-10)-10) what is the domain of G(G(x))?

A: Given: GGx=1x-10-10

Q: Find each indicated quantity if it exists. Let f(x) = for x 1 . Complete parts (A) through (D). (A)…

A:

Q: (a) Find x, y, z and B, where [0 x 37 A= 1 -3 y; A² = 1; c(4+1) + 3B7 = 2A and I: unit matrix 4 4…

A:

Q: The signal of Micha's Wi-Fi router covers a circular area, whose border is modeled by the equation…

A:

Q: Let f(x) = X-4 x - 4x (A) lim f(x) X→0 Find the indicated quantities, if they exist. (B) lim f(x)…

A: Please refer to the image below

Q: Ryan is pushing a cart up a 45 m airport passenger ramp with a constant force of 250 N. The ramp is…

A:

Q: 2. What is the period of the trigonometric function given by f(x) a. 플 b. 2π C. T d. 3 = 3sin(2x)?

A: This question is based on trigonometry function

Q: The time interval between a person's initial infection with HIV and that person's eventual…

A:

Q: 4π Find the area of the sector of a circle with radius 6 centimeters formed by a central angle of 3…

A:

Q: sina sin 2α lim a-0 1-cos a

A:

Q: The angle between 0 and 2 in radians that is coterminal with the angle 69 10 Tin radians is

A: Given, θ=6910π

Q: Find dy/dv for  y= ∫v0 [(7+8t2)](1/2) dt.

A: Given:- y=∫0v7+8t2dt To find:- dydv

Q: Evaluate the integral 10 S₁ 15x-3 ldx

A: This question can be solved using the concept of modulus function. As per modulus function a=a if…

Q: Find each of the following functions and state their domains. f(x) = x3 + 4x2 g(x) = 6x2 - 1   a. f…

A:

Q: 30° 19 The height of a right triangle with base angle 30 and base 19 is

A:

Q: C. Determine the center and radius of each circle in general form. Then draw its gra 2. 1. x² + y² -…

A:

Q: (c) f.th 1 (4 sin ) -5 do

A:

Q: 45° a The height of a right triangle with base angle 45 and hypotenuse 6 is

A: This question is based on trigonometry ratio

Q: State the domain, vertical asymptote, and end behavior of the function.…

A: Let's solve domain, vertical asymptote and end behaviour of given function.

Q: B. Find the general equation of the line satisfying the given properties: 1. Passing through (2, 4)…

A: since you have posted multipart question i can do  first three subparts as per our company…

Q: Find the consumer’s surplus at a price level of p ̄ = $110.00 for the price-demand equation p = D(x)…

A: We are asked to find the consumer surplus at the price level 110.

Q: DNE 3 5 What is lim (f(f(x))? x-0 8 7 6 5 4 3 2 1 0 -1 -6 -4 0 2 4 X 8

A: To evaluate the given limit of function.

Q: Calculate [1, 2, 2] × [5, -5, -1] -

A: