2. The points P(-3,1) and Q(-1,r) in the second quadrant have a distance of 2/5. Suppose P and Q are endpoints of a diameter of a given circle. Give the standard form of the equation of the circle.

Q: 2. Find the domain of the following functions: 3 a). h(2) = %3D 4-2 b). f(x) = VE– 4 c). g(u) = 4.

A:

Q: If x = c is a critical number of f, then f has a local extrema at I = c. True False

A: Question: If x=c is a critical number of f then f has a local extrema at x=c 

Q: x² – 5x – 6 44. f(x):

A: To sketch the graph of f(x)=x2-5x-6x2. Solution: First differentiate the function with respect to x....

Q: Given the non exact DE y(8x-9y)dx+2x(x- 3v)dv=0. find f(x).

A:

Q: Given the graph of g(x) on the right: -10- Apply the following transformations below using a transfo...

A: Required formulas: Reflection about the y-axis is : x, y → -x, y. Horizontal stretch by 2 is: x, y ...

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: 5. f(t) = = cos 2t sinh 2t

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 00 f(x) = Σ...

A: The given function,        fx=11+x5

Q: An amount of $12,000 is deposited in a bank that pays interest at a rate of 3.5%, compounded continu...

A:

Q: Differentiate: y = 2sinx/e O a. y' = (cos x- sin x)/e O b. y = (2e*cosx - 2e*sinx)/e2x O c. y (2e*si...

A: Please see the solution below.

Q: Ax) = x² tan -1 (x³)

A:

Q: A rocket is fired vertically upward from the ground. The distance a in feet that the rocket travels ...

A:

Q: Given the function y= 2x - 3x- 5x+ 1, which finite differences will be equal (or constant)? a) first...

A: Find your answer below 

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: The figure below shows a function g(x) and its tangent line at the point B=(1.6,8.6). If the point A...

A: NOTE: Refresh your page if you can't see any equations. . the function has a tangent line at point B...

Q: S 3. sin°ydy 1+ cosy

A:

Q: A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s ...

A:

Q: Given that f(x) = (x-2)/(x+3), find the slope of the tangent line at x = 2. %3D O a. 1/2 O b. -1/5 O...

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t- 15t m...

A: Solution: Here  s(t)=8t 3 - 15t

Q: Find the volume of the solid found by rotating the region y = Va from :-1. You may use either the sh...

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A:

Q: f(x) is continuous on (-0o,00) and has critical numbers at x a, b, c, and d. Use the sign chart for ...

A: Given:   Sign chart is given

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Kindly repost the 2nd picture separately in order to get it answered by an expert

Q: Lou and Jacob each sold 200 pieces of jewelry.  If 20% of Lou's sales were rings, and Jacob sold 35 ...

A: Given lou and jacob each sold 200 pieces of jewelry. 20%of lou and 35 ring of jacob.

Q: 6. Graph the following piece-wise defined functions and state their domain and range: { -2.r for r <...

A: We have to draw the graph

Q: Simplify the expression. (In the second answer box, state any other restrictions on x not excluded b...

A:

Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form...

A: we have to determine the point slope form 

Q: III. Find the limit, and when appropriate, indicate the Limit Theorems being applied. 5+ 2x 1. lim r...

A:

Q: 4 ース -where do es t have relahive minimums ? the relahi ve minimum is which occuRs at X= where does ...

A: topic- relative maximum and minimum of function  relative minimum is the value of function where fun...

Q: A particle is moving on xy-plane with position at time t given by ~p(t) = (t2 + 4t,sin (t + π)). a....

A:

Q: 2. f(t) = 6 sint cos t

A:

Q: implify the difference quotient by rationalizing the numerator. Vz - 8 - Vz 8 ead more about Topic 1...

A: We have to find rationalization

Q: Evaluate | x? zdS, where S is the part of the plane z = 2 + 4x + y above the rectangle [0, 4] × [0, ...

A: To evaluate: ∫∫Sx2z dS where S is the part of the plane z=2+4x+yabove the rectangle region [0,4]×[0,...

Q: Setup and evaluate the integral for the area of the region bounded by the graphs of the functions y ...

A:

Q: x-2y+3 3. The differential equation is reduced to [homogenous or separable]. dx 2x+3y-4

A:

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then sketc...

A: Given query is to find the equation of the tangent at given point.

Q: Consider the integral -7 dx If the integral is divergent, type an upper-case "D". Otherwise, evaluat...

A:

Q: Find the indicated derivative and simplify. y' for y = (2 + 7x- 9x²) ex y' =]

A:

Q: If r = c is a critical number of f, then f has a local extrema at I = c. True False

A: This question can be solved by applying the concepts of relation between critical points and local e...

Q: 5 4n + 15-n n= 1

A: Given :  

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A:

Q: Consider the function. f(x) = -2x3 + 12x² – 24x + 15 Step 2 of 2: Determine the open intervals on wh...

A: the given function,     fx=-2x3+12x2-24x+15

Q: 2. Jenna is borowing $800 from her parents to buy a mountain bike. plans to pay them back at the rat...

A: Given: - Jenna is borrowing $800 from her parents to buy a mountain bike. She plans to pay them back...

Q: 2. In r dr

A: Determine whether the improper integral is convergent or divergent.  The integral is ∫01 lnx dx Form...

Q: 16. What is the derivative of f (x) = e8x+3? %3D a. f'(x) = e8 b. f'(x) = 3e8x c. f'(x) = 8e d. f'(x...

A:

Q: nvobability density fonction (pdf) How did he get the value inside the circle? unda probability d-f ...

A:

Q: Select the best answer. cot A sin 2A =

A:

Q: If x = c is a critical number of f, then f has a local extrema at I = c. True False

A: Critical points are the interior point in the domain of a function at which f'(x)=0 or at which f'(x...

Q: Find all of the critical numbers of the function g(0) = sin 0 in the interval (0, 37). (a) r = #/2, ...

A:  A detailed solution is given below

Q: If s(t) = 8t = 12t – 48t + 5, represent the position of a particle traveling along a horizontal line...

A: