Find the domain and range of: 1) y = 區 2) y =√1-x², 3) y = x² - 2

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

Q: 3. Let 1 ƒ(x)=_=_=__and g(x)== x-4 Find f(g(x)) and find its domain.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

A:

Q: 1 (x²+4)² dx

A: To find out the integration.

Q: Q2: Find dy/dx for the following functions:- (2) y = √sinh √tan x (3) 4x² + 3xy-xy² = 0

A: Given:- 2) y=sinhtanx 3) 4x2+3xy-xy2=0 To find:- dydx of given functions

Q: Book Problem 63 The velocity of a car was read from its speedometer at 10-second intervals and…

A:

Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A: To prove the identity.

Q: Find the time required for an object to cool from 300°F to 240°F by evaluating the following where t…

A:

Q: 7. For the limit lim (x³ - 3x + 4) = 6 illustrate Definition 2 by finding values of 8 that…

A:

Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

A:

Q: Solve the following linear system by Gaussian elimination. X1 = X2 11 x3 = and X1 + 4x2 + 2x3 = 12…

A:

Q: Question = 2 and v(y) Define as the region bounded by the functions u(y) around the y-axis, what is…

A: We need to find volume.

Q: 11. Prove the identity: tan²x tan²x + 1 = sin²x

A: Simplification

Q: The equation y² = cx is the general solution of

A: We have to find the differential equation.

Q: Find the area of the region between the graphs of y = 20 - 2² and y=-2x - 15 over the interval 6 < x…

A: Please see the below picture for detailed solution.

Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

A:

Q: 26. The graph of y = f '(x) is shown below. List the intervals where the graph of f is concave up. O…

A:

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

A:

Q: Suppose f and g are continuous functions such that g(4) = 2 and lim [3f(x) + f(x)g(x)] = 10. Find…

A:

Q: Question 4 What is the auxiliary equation associated with the differential equation y'"-3y" +4y=0? Ⓡ…

A:

Q: If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height…

A:

Q: List the x values of the discontinuities of the function below: y = In (tan²(x)) over the interval…

A:

Q: Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = over the interval [1, 3].…

A: Given thatRegion bounded by y=x28 , y=3xx=1 and x=3Using cylindrical shell mathod…

Q: What is the sumation form of the maclaurin series for 1/x*sin(x)? Hint: First find the first few…

A:

Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: Please

A:

Q: Find an expression for a cubic function f if f(5) = 60 and f(−1) = f(0) = f(6) = 0.

A:

Q: Using the definition of a derivative, find s'(x) given s(x) = -x² - 2x + 3. Do not include s'(x) in…

A:

Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: e number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of…

A: Please refer to the image below

Q: 1. f(x) = sx (x+1 if x ≤ 0 if x > 0

A:

Q: Find the domain and range of: 1) y = 2) y =√1-x², 3) y = x² - 2

A: We can find the domain and ranges in the below steps.

Q: 16. Determine if the Mean Value Theorem for Integrals applies to the function f(x)=√x on the…

A:

Q: A company must pay a $302,000 settlement in 4 years. (a) What amount must be deposited now at 6%…

A:

Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1. Find the…

A:

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: The vector v = ai + bj is parallel to the line bx - ay = c. Use this fact to find an equation of the…

A:

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

A:

Q: (3) fx² sin x dx (4) S (cos-14x)2 √1-16x² -dx

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: <++ 10 -10-9-8-7-6-5-4-3-2-1 9+ 8- 7 1 6+ 10 4 3 Y 2- L -2- 3 -4- 5 -6+ -7+ -8+ -9+ -10+ 2 3 4 5 6 7…

A:

Q: Find the area of the parallelogram whose diagonals are represented by the vectors a = (3,-3,1) and b…

A: As we know that; The expression for the area of the parallelogram with the diagonals a→ and b→.…

Q: Let f(x) = = Jmx - - 6 X x² + 10x - 2 if x < - 4 if x ≥ 4 If f(x) is a function which is continuous…

A: Find the value of m

Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

A:

Q: Express 2187 as a power of 3

A:

Q: 20. f(x) = sin a for a < 0 cos x for 0≤x≤ ³T tanx for 37 < x < 2π for 27 < x < 5 cot a Let f be the…

A: A piecewise continuous function is continuous on a given interval in its domain if the function…

Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

A:

Q: 1. fx² sec x³ tan x³ dx

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

Q: Use the spreadsheet to answer the following questions. B3 HNMes 1 A 47 37 94 76 60 Answer: x✓ fx 57…

A: Spreadsheet is given, we have to answer the required values.

Q: 6 - x - x² if x ≤ 1 if x > 1 2x - 9 Calculate the following limits. Enter "DNE" if the limit does…

A: f(x)=  6-x-x2    if x≤1 2x-9         if  x&gt;1