If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

Q: Find equations of the lines through the given point parallel to the given line and perpendicular to…

A: To find out the equation of line that passes through the given point and parllel and perpendicular…

Q: , Let F be any vector field of the form F = f(x)i + g (y)j + h (z) k and let G be any vector field…

A: Solved below.

Q: The ACME manufacturing company makes widgets. Their fixed costs are $1700 per month, while their…

A: We have given  Fixed cost = $1700 cost per widget = $10 Selling price for each widget = $29 Coast…

Q: (5x)” Σ 14" n=1 (Use symbolic notation and fractions where needed. Give your answers as intervals in…

A: Since multiple questions are asked, I am answering first question.

Q: The question asks where is the function increasing, but the answer says where the function is…

A:

Q: Practice Composition of Functions Given f(x) = 2x² +8 and g(x) = 5x - 6, find each function. 1.…

A:

Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy x -y xy…

A: Topic = Derivative

Q: Find the interval of convergence of Σ ∞ (x 4)" In (4n) n=2 (Use symbolic notation and fractions…

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: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers…

A:

Q: (x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

A:

Q: Find f. f. f 2 f(x,y,z) = 3x - √y² +2₂² f = 0 (Type an exact answer, using radicals as needed.)

A: f(x,y,z)=3x-y2+2z2

Q: List the ordered pairs obtained from the equation, given {-2,-1,0,1,2,3} as the domain. Graph the…

A: Given: y=-2x+2

Q: The body mass index (BMI) is a number that can be calculated for any individual by using the…

A:

Q: 22. [0.34/0.430000000000001 Points] DETAILS Let f(x) = X and consider the limits lim f(x) and lim…

A: Given, f(x)=4x3-1,

Q: For what values of x is f(x)=0?(show all work) 2.)For what values of x is f(x)=4? (Show all work)…

A:

Q: 13. Identify the best integration technique for the following: (sin.x cos³x) dx A. Partial Fraction…

A: Identify the integration technique

Q: If log₂ (4x + 5) = 2, then x =

A: According to rules, I need to answer first question when multiple questions are posted

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = √3x +7…

A: Ans = 40.5709π square units  For detail...go through the solution...

Q: Graph the following system of equations. x - 4y= -1 4x-3y=6 Use the graphing tool to graph the…

A: To graph the given system of equations

Q: TRUE or FALSE Write true if the statement is true and False if otherwise. Write your answers on the…

A: We have to define if the given statements are true or false.     According to our guidelines we can…

Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0 B.…

A: Topic:- application of integration and differential equations Note :- as per our guideline if more…

Q: 4 + 12--104 X

A: -9x + 12 -10 + x Separate the variable and constant

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: Consider the graph of the one-to-one function shown in the figure below. 10 y 8 6 4 2 2 4 6 8 10 X

A:

Q: Evaluate the following Limits: 3 1. lim x418 2. lim. 1 3+ 2x x-1 x-1 √4x+5-3 3√x6+8 3. lim x→∞0…

A: 1) Given, limx→-∞33+21xLetL=limx→-∞33+21xL=33+21-∞We know that…

Q: y 10+ 8 6 4 2 2 6 8 100 10 X

A:

Q: The online program at a certain university had an enrollment of 540 students at its inception and an…

A:

Q: Tara has decided to start a walking program.Her initial walking time is 5 minutes. she plans to…

A: We will find the required.

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: 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: 2. Determine the regular monthly deposit required to accumulate $10,000 in 5 years at an annual…

A:

Q: Which number is equivalent to A 2 B 9 C D 81 729

A:

Q: 샤 - b ± √b²_uac a=1, 6-2,025 = -2 + 2륵u(i) (5) 2) ㅋㅋ a 2 = -2-1-16 2 2=-1 ti ui 2

A: Given, a=1,b=2,c=4λ=-b±b2-4ac2a

Q: Find each of the following functions and state their domains. (Enter the domains in interval…

A:

Q: EXS- Find the roots of the following eq.: 2¹ - 22²4+4=0 Sol 8-

A:

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 5 Y 14 where x is the horizontal…

A: Topic:- calculus

Q: (b) Find the volume of the solid generated when R is rotated about the x-axis.

A:

Q: F] Draw a rough sketch of the following relations. (Show work) 1) f(x) = 3x - 2 f(x) = x² + 4 2) 3)…

A: As per our guideline we are allowed to answer only three subparts of a given problem. So kindly…

Q: etermine the dimensions of a rectangle whose area is 100 square meters and has a perimeter of 44…

A:

Q: (A) Find plane equation through points (2,4,5),(1,5,7) and (-1,6,8) and then find the area of the…

A: Given Coordinates of point = (2,4,5) , (1,5,7) ,(-1,6,8) We want to find equation of plane and area…

Q: The graph of f(x) is shown below. Estimate and list the value(s) of a where f(x) has a horizontal…

A:

Q: integral

A: We have to calculate the given indefinite integral according to the given information

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

A:

Q: 5. How many compounding periods are there in the following investment? Dan invests a principal of…

A:

Q: 2. How many terms are in the sequence? -20, -15, -10, ... 1115

A:

Q: 3. Determine the Present Value of an annuity which provides payment of $1200 every month for 6…

A: Concept: Future value: Amounts of money or streams of cash flows that are anticipated in the future…

Q: C] Write in interval notation -3 -2 -1 0 1 2 3 4 -1 0 1 2 3

A: We can write the answers in the following steps.

Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A: The given function is f(x)=sin(x) Here we have to calculate the Taylor polynomials T2(x)=? and…

Q: 6 by power Series method, Solve the following ODES: Σ m=0 amxm = a₂ + a₁x + a₂x² + a3x³ +....... •ý…

A: The solution of the differential equation is given below.