5. Find and sketch the domains of the functions of two variables below. Sketch the boundary with a solid curve if it is included, otherwise with a dashed curve. Shade the corresponding regions. Write the domains in the form {(x, y): ...}.

Q: Q. 3. a) Find first and second derivatives of the following functions: +7x y=cot(3t-1) 201

A:

Q: speed x HOSX< 1000 if Graph Ffor 0 sx s 100. F sxs F 1000 (100, 1000 (100, 1000

A: We have to make the function from given data and graph the function.

Q: constant, then find the value of M. Find all the roots of 2x³-8x² +16=0 when x = 2 is one of the…

A:

Q: 3. X+Y)/4=5Z

A:

Q: Rewrite the expression without using the absolute value symbol. |x + 1|   if x ≥ −1     if x < −1

A: The given absolute value x+1 we have to rewrite the expression without using absolute symbol.

Q: A squirrel is running along a straight wire. Its position (in inches) after t seconds is given by…

A:

Q: Describe all the x-values at a distance of 15 or less from the number 10. Enter your answer in…

A:

Q: G] Example: Raggs, Ltd., a clothing firm, has fixed costs of $10,000 a year. These costs, such as…

A: The total cost Cx in dollars of producing x suits a year is given by a function C.Cx=Variable…

Q: D] Find composite functionsf(g(x)) and g(f(x)) for given f and g 1) f(x) = 3x + 1, g(x) = 2x² 2)…

A:

Q: Let f(x) { Calculate the following limits. Enter "DNE" if the limit do f(x) = 10- x - x² if x ≤ 4 if…

A:

Q: - Your answer is partially correct. A force is specified by the vector F = [(-170)i + (120)j +…

A:

Q: 1. (Section 14.1) Graph the curve given by vector function 7 (t) = of positive orientation. Do not…

A:

Q: 7. A traditional first experiment in a physics laboratory is to make 98 observations ab records the…

A: Given formula for linear regression is as below  take t as x and h as y. find mean value

Q: E] Find the zeros of the function f(x) = 3x² - 6x + 2 F] Find the points of intersection of y = x² -…

A:

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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: The usual estimate that each human-year corresponds to 7 dog-years is not very accurate for young…

A: The function for dog-years is given as , fx=10.5x ,                0≤x≤221+4x-2 ,     x&gt;2  where…

Q: f(x) = √8x-6, g(x) = x² - 16, (f + g)(x)

A:

Q: Evaluate the following integral. 40x² x4-52x² +576 dx Find the partial fraction decomposition of the…

A:

Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

A:

Q: 2) A construction company uses the function S(t) = 28,000 - 2000t to determine the salvage value…

A: 0

Q: Find the area of the region enclosed by the curves y = 2 - x² and y = x. (a) (c) 9 2 54 (b) (d) 40 7…

A:

Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

A:

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: Graph the solution of the system of inequalities. x20 y2-1 y≤3 2x + y ≤ 7

A:

Q: في Lim X-1 X1 X²-1

A: Hint : Factorise denominator

Q: Kendra bought 188 donuts for $160. Her profit was $40 once she had sold 100 donuts. Which equation…

A: Find profit

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: The table represents f(x) and the graph represents function g(x). Which of the following could…

A:

Q: The total arm and blade of a windshield wiper is 15in. long and rotates back and forth through an…

A: Draw a schematic diagram of given figure.

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

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: "Please show all your work 1. If a vector A=2a, +a, +2a₂and B=a+2a, +ã, find Ax B. 2. If a vector…

A:

Q: Given the function f(x), find f'(x) f(x) = 9x² COS X

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: does the series  E infinity/n=1  2^n/3^n converge or diverge a)the series converges because its is…

A:

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: In each of Problems 1 through 8: Ga. Draw a direction field for the given differential equation. b.…

A:

Q: Find the set of all solutions of each of the following differential equations.  y" =32.

A:

Q: 3) Given f(x) = x² - 2x - 8 A) find the derivative f '(x) by solving lim [f(x+h)-f(x)] h→0 ALWAYS…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: use the limit comparison test to determine if the following series converges or diverges (hint :…

A:

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

A:

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: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: Find the following limit. Answer as either an integer or a fraction. (No decimals.) Enter INF for…

A: The limit is given by limx→1x-1x2+7x-8 To evaluate: The value of the limit

Q: Let F = 1xi + 5yj and let n be the outward unit normal vector to the positively oriented circle x² +…

A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

Q: (a) Find a vector parallel to the line of intersection of the -2. 3y - 4z planes -x + 3y + 4z = 0…

A:

Q: dz Consider the equation 5 sin (x + y) + 8 sin (x+z) + 2 sin (y + z)= 0. Find the values of and dx…

A:

Q: 6.5+ (y)² = [3z³y² + (y")³14/3

A:

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

A: