B. Determine the center and the radius of the circle described by each equation. Then, sketch its graph. 6. x² + y²-2y = 15

Q: f(x) = 4x2 − x + 2,  find the following.

A: Solution is given below:

Q: the options are left, up, right, down

A: Here we have to choose the correct option.

Q: (b) part of parabola y = −2x² from (−1, −2) to (2, —–8)

A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: 2) Consider the function g(x) = 5 + 6x²-5x-1 3x³-4x+1 a) Find the Limit of g(x) as x approaches…

A:

Q: At what points is the following function continuous? 3 x - 125 x²2²-25 f(x) = 7.5, 4, X#5, x# -5 x =…

A: Given function:- fx=x3-125x2-25x≠5,x≠-57.5x=54x=-5 Condition for continuity at x=a…

Q: 2. The limit of the following function equals: a. 0 b. 1 c. -1 d. None of the above answers x2/3 +…

A: See this solution in.

Q: Given the graph of f(x) = √√x as shown, graph the function 3 f(x + 4) - 3. -7 -6 -5 -4 -3 -2 -1 7+…

A: Solve the following

Q: For each function below, find the derivative. DO NOT use decimals in your answers. If f(x) = 2x5…

A:

Q: 4.y = C₁e-2x + C₂e³x

A:

Q: d the limit lim X-3 x-2-1 x-3

A:

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: 3) Prove that : tanz = 올n(부를) In

A:

Q: 2. Use the graph in Fig. 11 to determine the following limits. lim f (x) lim f(x) lim f (x) (b) lim…

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: Find a parameterization for the curve shown in the figure below. |--1 = 110 -1 r(t) where 0 ≤t≤ 1…

A:

Q: Set up an integral representing the area A of the region enclosed by the given curves. y = 5x,   y =…

A: Given :

Q: A positive angle less than 360° that is coterminal to -111° is

A: To find a positive coterminal angle, one should add 360o to the given angle.

Q: Question 15 of 16, Step 1 of 1 18/29 Correct Among all rectangles that have a perimeter of 84, find…

A: Topic- Application of derivatives Let L=Length of rectangle W=width of rectangle Perimeter of…

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: Determine the point(s) at which the given function f(x) is continuous. f(x)=√6x +30 Describe the set…

A: We have given function  fx=6x+30 Function will be continuous if  6x+30≥0 6x≥-30 x≥-306 x≥-5 Interval…

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: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

A:

Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

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: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

A:

Q: if 8-x² -3x - 10 if In(x-1) + 3 if Select the graph of the function above: Let f(x) = - x= 6 5 4 9 2…

A:

Q: A cubic material is to be made by welding 6 square metal sheets each has a side of 3.5ft and a…

A: Let's find cost of construct the cube.

Q: 13. Lim (2 Flx) - 3g(x)) X-3

A: We can find the answer in the below steps.

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

A:

Q: 1. The graph of f "(x) is continuous and decreasing with an x-intercept at x = -3. Which of the…

A:

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: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: We have given an equation. We have to find the x and y intercept. We have  y - 9xy + 9x = 1 To find…

Q: sine = COSA coto || || || |||| CSCD= sec 0 =

A:

Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: Write an equation of the plane with normal vector n (7,5, -4) passing through the point (1, −5, 1)…

A: Given; n=<7,-5,4> Point (1,-5,1).

Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: Note:- since part f incomplete to find value of x we need equations of revenue function and cost…

Q: 4. Verify that the solution of the DE d²x dt² + k²x = 0 is x = sin(kt).

A: To verify that the solution of the DE d2xdt2+k2x=0 is x=sinkt.

Q: Evaluate: lim tan3x x→0 x

A:

Q: Given s(t)=t² + t, find (a) v(t). (c) the velocity and acceleration when t = 4. (b) a(t). (a) v(t) =…

A: Concept: The instantaneous velocity at a given time is the derivative of a function that represents…

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

A:

Q: nd  f(a), f(a + h),  and the difference quotient  f(a + h) − f(a) h,  where  h ≠ 0. f(x) = x2 + 6…

A:

Q: f(x) = 9+x= x + 1 f(x) = f(4) X-4

A:

Q: 6a + 24 3a-24 2 으 - a -16 a ²-2a-48

A:

Q: Sy < 1/3 x 1²x + 3 X y ≥ 2x 12 z -

A:

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

A:

Q: 13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ &amp; v→ Nonzero scalar α v→=αu→

Q: The Differential Equation y'+y=e* has a solution y=(x+C)ex C is an arbitrary constant. IF TRUE, show…

A:

Q: Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a A. THE…

A: We can find the slope at the given point in the following steps.

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 2 + 2x - x²,…

A: The given function fx=2+2x-x2 we have to find the difference quotient f5+h-f5h