6. Determine a value of k for which the line L₁: x=3+2s, y=5-s, z=7+11s, se R is parallel to the line L₂:x=8+21₂y=2-t,z=k,1 € R. a. 3-2 b. 11+1 c. 7+2 d. 8+11t

Q: Use the given conditions to write an equation in point slope form and slope intercept form. 7. Slope…

A: Here we need to find the equation of line. The solution of given problem is as follows.

Q: The conversion of temperature units from degrees Fahrenheit to degrees Celsius is given by the…

A: Given query is to find composite function.

Q: The derivative of e" is e. What is the derivative of e? There are two functions named 'sinh' and…

A:

Q: Find the equation of a plane that is perpendicular to the vector 4 i + 2 j - 2 k and passing through…

A:

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

A:

Q: Find the domain of the rational function.

A:

Q: -5 -4 -3 -2 -1 O 3 2 1 7 -2 -3 -4 5 2 3 Write the domain of the function above using interval…

A: Domain is the set of  x-values for which function is defined.

Q: e average rate of change of f(x) = 6x² - 2 on the interval [5, a]. (Your answer will be an ion…

A: Given query is to find the average rate of change for the function.

Q: A sports franchise revenue can be modeled by the function R(t) = 337 + 8t. Their operating costs are…

A: Given data:- Revenue function R(t) = 337+8t Cost function C(t) = 245+20t

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: The graph of the function fx is given by The table for the function gx is

Q: Find h(x) and g(x) such that f(x) = (hog)(x). f(x) = √8x+6 Suppose that g(x) = 8x + 6. h(x) =

A:

Q: Problem 2 a. If y(t) = x₁(1) * x₂(t) = e^(1+3)u(t+3), find z(t) = x₁(t+4)* x₂(t−5). b. If x₁(1) =…

A: In this question we have to find the values of the functions.

Q: a) Find the area of the region enclosed by the curve y=x²-2 and by the line y = 2. y=x²-2 y=2 Co

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.

Q: -10 -10- 0 -5 5 10

A:

Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: where  h ≠ 0. f(x) =  5 x + 4

A:

Q: Write the equation of the line in slope-intercept form that passes through the points (-1,5) and…

A: Given query is to find the equation of the line in slope intercept form.

Q: For 0<t<, a particle moves along the y-axis. The velocity of the particle at time t is g v (t)-cot…

A: U

Q: Graphs of f and g are shown. Is f even, odd, or neither? even f odd neither Explain your reasoning.…

A: The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An…

Q: √t 12. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the…

A:

Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

A:

Q: domain

A: Please refer to the image below

Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

A:

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: a) y=(x2-2)2 put y=y+∆yand x=x+∆x

Q: Find the perimeter of the following closed figures

A: Finding the perimeter

Q: b) Calculate the following definite integral: [*(√x - 3) dx

A:

Q: Determine the domain of the relation graphed below. Ⓒ (-4,5) KD 1-4 51 CHAUS SH TEAT 2 0 NE O E 2: m…

A: We can find the correct answer in the following steps.

Q: Evaluate the integral 11-x²4-x²-y !!! 0 3 x dz dy.dx.

A:

Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

A:

Q: Evaluate the line integral F. dr where F = (3 sin x, 3 cos y, 10xz) and C is the path given by r(t)…

A:

Q: 1) f(x) = *-1 x+2 Find a) f(1) b) f(a + 1)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Write an equation for a rat Vertical asym Enclose numerators and de Include a multiplication sign…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

A:

Q: b) Calculate the following definite integral: [* (√x - 1) dx

A:

Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

A:

Q: Determine the range of the linear relation graphed below. -4 - y≤ 5 ⒸV-3 V> 3 --- -2 -1 6- 5- 4 3 1-…

A: Maximum value of y = 5

Q: Solve for x using the system of 6. equations. 7y = 5x and 35 + 4x = 3y

A:

Q: في Lim X-1 X1 X²-1

A: Hint : Factorise denominator

Q: Given the graph of f(x) shown, answer the following. f(x) 4 (a) What is f-1(−1)? -2 15 10 5 5 10 -15…

A:

Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

A: To find the difference quotient of the given function.

Q: Hello, can you help with the below math exercises with the explanation please? Thanks a lot! 5/…

A:

Q: 1. f(x) = (x+4)² 2. f(x)=√x +3 +40 CHI

A: 1. Parent fuction will bef(x) =xto understand better I have drawn the graph using online tool (will…

Q: 3. ) Suppose Australia's aggregate income (Y) has two components: aggregate consumption (C) and…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: observing the outside temperature rise. What is the relevant independent variable here? The…

A:

Q: Let limx-2 f(x)=-3, and limx-2 g(x)=4, Find limx-2 [f(x)/5g(x) +2f(x)g(x)]

A: Topic = Limits

Q: 1. A school auditorium has 32 seats in the first row, 35 seats in the second row, 38 seats in the…

A:

Q: B] Find the domains of the following relations. Write them in interval notation. 1) f(x)=√x-9 2)…

A:

Q: 6.5+ (y)² = [3z³y² + (y")³14/3

A: