2. Find the general equation of the circle passing through (1,1), (−2,3) and (3,4).

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) 28…

A: To solve the given differential equation.

Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0, y(0) = 1, and dy(0)/dt = 1

A: Topic:- differential equations

Q: Multiple Choice Which of the following statements is truefor a point (x, y) that lies in quadrant…

A: If (x,y) is a point on a graph then if (x,y) lies-In quadrant I, then both x and y are positive.In…

Q: f(x) = x²(3x) on [-3, 5] solute min solute max

A: Topic:- application of derivatives

Q: Let Q, R be the points where the ray of angle intersects circles centered at the origin as shown in…

A:

Q: Solve the following differential equations. Question 4 dy/dx + y tan x = cos x

A: See the details solution in below

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: Concept Used: Basic properties of the function Vertex: Use the vertex form, y=a(x-h)2+k, to…

Q: Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. A…

A: Given data:- The given points, A = (1, 4)

Q: 10. x dy dx = y + √x² = y²₂ x>0

A:

Q: dy 6. + 2xy² = 0 dx

A: dy/dx + 2xy2 = 0 here we have to find the solution of this euqaiton  further step given below this…

Q: The weekly demand equation given by p+ x + 4xp = 55, where x is the number of thousands of units…

A: Given query is to find the rate of change of demand.

Q: Calculate the tangent line to y=2v cosv - e at v= pi/2.

A: Calculate the tangent line to y=2v cosv - e at v= pi/2

Q: On the real number line, the origin is assigned the number ________. (p. A4)

A: Given data:- On the real number line, the origin is assigned the number ________.

Q: What are the important types of functions frequently encounteredin calculus? Give an example of each…

A: Function: A relation between a collection of inputs and outputs is known as a function. A function…

Q: 1. y = 4x+Czxe *

A:

Q: ff.

A: The given equation is; x=(wt+B).

Q: The demand function for a certain brand of compact discs is given by where p is the wholesale unit…

A:

Q: 19. The graph of f is shown to the right. For which value of x is f'(x) the smallest? [A] x=6 [B]…

A: given graph of f(x)

Q: २. px 17X 11 (X)7 gos

A:

Q: Identify the open interval(s) where f is concave up. [A] (-∞, -1) [B] (-∞, -3) U (-1,2) [C] (-1,00)…

A: for concave up , f'(x) is increasing For given graph , f'(x) is increasing on

Q: locate the local maximizers and local minimizers. Don't forget to account for endpoints! imizers…

A: We need to find local max and min of given function.

Q: The area A of a triangle whose base is b and whose altitudeis h is A = __________. (p. A15)

A: Formula to calculate the area of a triangle is 12×base×height of altitude.

Q: the height of the golf ball after t seconds is given by s(t) = 24t - 4.9t2 meters

A:

Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

A:

Q: What procedure can you sometimes use to express the inverse of afunction of x as a function of x?

A: Concept used: Inverse function The inverse function can be created by reversing the function.…

Q: find y' if y 43 -2 = 2 2m² +5c8cm) (3 cotm-m² 3Гm + cosm

A: We use  Power rule ddxxn=nxn-1 ddxcscx=-cscxcotxddxcotx=-csc2x

Q: 22. Throwing a baseball A baseball is thrown from the stands 32 ft above the field at an angle of…

A: We will use formula for horizontal range and total time of flight.

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A: Topic-Implicit differentiation We are given, 2xy+5y=13And we know thatddxu·v=uv'+vu'ddxxn=nxn-1

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface.…

A: Given, y=1/4x2-1/2ln(x), a=3 b=4

Q: [12] On the open interval (0,47), find the domain of the vector function r(t)= cot 20 ( 121 ) ₁ +…

A:

Q: A line has the equation  y = 9x + 1. (a) This line has slope  ?. (b) Any line parallel to this…

A:

Q: (1) Sketch the graph of f(x). Be sure to label the axes and that the graph is consistent with your…

A: We have to graph the given function.

Q: 12 a) Express in its simplest form. 20

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

Q: 1. 3 A certain fraction has the value. If its 4 numerator is decreased by 7 and its denominator…

A:

Q: Find the solution of the constant coefficient differential equation satisfying the initial…

A: To find the solution of given differential equation.

Q: Provide an appropriate response. 7) Find the derivative of the function f(x) = A) 16 B) 17 2x - 7 3x…

A:

Q: Find the slope of the tangent line to the curve 6 sin(x) + 6 cos(y) — 4 sin(x) cos(y) + x = 5 at the…

A: To find the slope of tangent line to the given curve.,

Q: Compute the first-order partial derivatives of the function. w = In (x7 — y4) (Use symbolic notation…

A:

Q: Evaluate the following limit: lim, 2 (2 6²5-6 2y³-5y³+5y-6 1/3 7/9 00 -2/5

A: L'Hopital's rule is used

Q: Use two or more substitutions to find the following integral. dx √7+ √2+x S (Hint: Begin with u =…

A:

Q: 27x³y6z¹2) 3/ 12-

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

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√3-X²

A:

Q: Use the sum-to-product identities to rewrite the following expression as a product. sin(4x) -…

A:

Q: Find the derivative of y=6√s^4+7 (Whole equation under the square root besides the first 6)…

A:

Q: Laws of Exponents and Logarithm: Simplify the expression using the laws of logarithms and exponents:…

A:

Q: Evaluate the integral. 5 e 5t 10t + 11 e 5t + 28 e S -dt

A: As per guideline we are solved first question you can repost Next question

Q: Initial condition. 14. Differential equation: Initial condition: dr dt r(0) = i + j = (t³ + 4t)i +…

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: find the distance d between the points P1 and P2. P1 = (5, - 2); P2 = (6, 1)

A: Given data:- The distance d between points P1 and P2. Here, P1 = (5, - 2) P2 = (6, 1)

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: Given query is to fin integral convergent or divergent.