A. Write ✓ on the line if the given equation is a circle; otherwise write x. If the equation defines a circle, determine its center and its radius. 3. (x-10)² + y² = 1/4

Q: A function is given. Determine the average rate of change of the function between the given values…

A:

Q: Find the volume of the solid that results when the area of the region enclosed by y=√√sin x and the…

A: Concept: Volume by integration: The volume of the solid produced by the region under f(x) centered…

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

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

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

A: Roots

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: Make a table of values for the equation. x + y² = 9 X Sketch a graph of the equation. у -2 -1 0 1 2

A: Substitute y=-2 in x+y2=9 and calculate the value of x.       x+y2=9x+-22=9       x+4=9…

Q: converges

A: We have to determine the given series is convergent or divergent using integral test

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: - - Find the cross product (-2i - j + k) × (3i − j − k). Answer:

A:

Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…

A: See this solution in below.

Q: b) Find the domain and the range of the following function: f(x)=√x²-25

A: Please see the below picture for detailed solution.

Q: Assume that is an acute angle. If sec8=6, find the exact value of sin 8. Write your answer as an…

A:

Q: Find the integral. (Use C for the constant of integration.) 9 J 49x2 dx

A:

Q: 1. Let R be the region bounded by y=-, the x-axis, x = 1, and x = b, where b> 1. Let D be the solid…

A:

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

A: Given :

Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

A:

Q: Use the graph to find the average rate of change. 5) Monthly Cellular Phone Charge in Dollars 80+…

A: To find average rate of change of given function through its graph.

Q: 8. Evaluate: lim |5-x| x-5-5-x

A: To evaluate the following limit.limx→5- 5-x5-x

Q: If f(x) = 7 and g(x) 4x + 3 (fog)(1): (gof)(1) = = √√45x + 4, compute the compositions (fog)(1) and…

A: Given , f(x)= 7 / (4x+3) And g(x)=√(45x+4)

Q: Prove that tan'z= let% 1/2 in (1+2) ة لله tan't Z • tanw=Z Z = Sinw cosw

A:

Q: -Example: Find a harmonic Conjugate for U= X x²+y²

A:

Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

A:

Q: 3. f(x)=-2[x]

A:

Q: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

A:

Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: solve the equation  2×+6-4(×+1)=3×+5

A: This question can be solved using the concept of solving linear equation in one variable.

Q: (19))2a² = -6 +8a

A: solve quadratic equation by completing square 2a2=-6+8a

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

A:

Q: 4. Half-life of a substance is the amount of time it takes to reduce to half of its original amount.…

A: We have to find the time and remaining amount of carbon-14.

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: Express the following functions in the form u+iv • f(z) = \n (1+z) P

A: Given function is: f(z)=ln(1+z) Let z=x+iy

Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

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

A: The objective of the question is determine the amount after the given year end .

Q: Find the Average Rate of Change of the following function (That is, from t = 2 to t = 5.) over the…

A:

Q: JJD In Exercises 7-10, evaluate the given double integral over the quarter-disk Q given by x ≥ 0, y…

A:

Q: please

A:

Q: Write a parameterization for the curve in the xy-plane that is a vertical line through the point…

A:

Q: Set up an integral for the area of the shaded region Evaluate the integral to find the area of the…

A:

Q: For the function f graphed in the accompanying figure, find the following limits. If a limit does…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the integral 11-x²4-x²-y !!! 0 3 x dz dy.dx.

A:

Q: C. Find the standard form of the equation of a circle given the following conditions. 11. Radius is…

A:

Q: Find the equation of the plane in xyz-space through the point P = (4, 2, 4) and perpendicular to the…

A:

Q: What is the range of the function shown? Y 1 1≤x≤3 1≤ y ≤3 -3 ≤x≤3 -3 ≤ y ≤ 3 I -2- 4

A:

Q: 1. Find the derivative using the Fundamental Theorem of Calculus, Part I, without evaluating the…

A:

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

A:

Q: When a business sells an item, it receives the price paid by the consumer (this is normally greater…

A: We need to answer revenue and cost model.

Q: 9) ²-4r-91=7

A:

Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

A:

Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

A: