3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equation sinx = x/2 given that the root lies between and 2

Q: Find the derivative of y = tan 1 1-x -1 + sec Va +1

A:

Q: 10203040-10102030405060-10 You are a lifeguard and spot a drowning child 40 meters along the shore ...

A: Follow step 2 and 3.

Q: Evaluate the derivatives of the following functions using implicit differentiation. 1. x3 + y3 - 3ax...

A:

Q: Find the radius of convergence and the interval of convergence. of Σ k(k + 1) k=1 1) First apply the...

A:

Q: Test for convergence or divergence, using one of the tests listed below. 1. n + 3 n + 4 n = 1 O conv...

A: Solve by limit comparison test 

Q: a. What is the measure of the subtended arc in units of - of the circle's circumference? Preview b. ...

A:

Q: 6. According to Newton?s Law of Cooling, the rate at which a substance cools in air is directly prop...

A: Find your answer below 

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

A:

Q: x 2 x = 2 cx + 9, d Find the values of c and d that make f(x) continuous at x=2. c= d= (If the valu...

A: Topic = Functions c=5 d=19

Q: Which of the following is the general solution to the differential equation t dy = 6te2 + y(2t 1) ? ...

A: Given:- t dy/dx=6te2t +y(2t-1)  To find:- General solution of given differential equation

Q: y (2xy +1) = xy)

A:

Q: Consider the following. 4 f(x, у, 2) %3D х2уz - хуz5, P(3, —1, 1), и %3D(о, 5' (a) Find the gradient...

A:

Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0 ...

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: REVIEW: DIFFENENTIATE THE FOLLOWING किमोि 2 2. y = メ+5 WE TAE APPNO PRLATE ト mlA

A: Upon simplifying:y=x4x+1We know that (uv)'=u'v+v'u and (xn)'=n*xn-1=ddxx4*x+1+x4*ddx(x+1)=14*x14-1x+...

Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

A: Topic = Algebra

Q: Find and sketch the domain of the function. f(x.y) = Vy - 2x- 6 ... Find the domain of the function....

A:

Q: Find the 42nd derivative of the function y=sin(x).

A:

Q: Find the volume of the solid formed by rotating the region enclosed by y = e°" +5, y = 0, x = 0, x =...

A: Let's find. 

Q: 6. Which of the following equations is an exact differential equation? (a) (x² +1)dx – xydy = 0 (b) ...

A:

Q: An+1 to determine if the sequence an is strictly increasing or strictly decreasing. Usethe ratio 6n ...

A: This is a series problem

Q: Find the derivative of f (x) = cot¬l 2

A:

Q: Find the indefinite integral using the substitution x = 8 sin(@). (Use C for the constant of integra...

A:

Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x =2y...

Q: Consider the integral This can be transformed into a basic integral by letting u = and du = dz After...

A: Put u=z2 then solve it. 

Q: Graph the set of points whose polar coordinates satisfy the equation 0 =- Choose the graph that repr...

A:

Q: Find dw and ow de when P=1 9=4if Hew.3 W = XY +y2Zu +uV and x = P4 リ=4 tan p V =P+q+H

A: w=xy+yz+zu+uv∂w∂p=x∂y∂p+y∂x∂p+y∂z∂p+z∂y∂p+z∂u∂p                                  +u∂z∂p+u∂v∂p+v∂u∂p∂...

Q: Given cost and price (demand) functions C(q) = 120q + 42,000 and p(q) = - 1.9q + 870, what is the ma...

A: Given query is to find the maximum profit possible.

Q: For the function g whose graph is given below 구 2- 10 -9 -8 -7 -6 -5 -3-2 Determine the the limit of...

A: find the limit of function at given points.

Q: a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 104.5...

A: This is a problem related to the arc and angle of the circle. By using relationship of the arc, angl...

Q: The definition of a strictly decreasing function f is: A function f is said to be strictly decreasin...

A: A strictly decreasing function can have only one horizontal intercept. This is because when x1 and x...

Q: (y² + xy³)dx + (5y² – xy+ y³ sin y) dy = 0 Let M = y² + xy³ and N = 5y² – xy + y³ sin y 1 /дм 12. M\...

A: Given M(x,y)=y2+xy3  and N(x,y)=5y2-xy+y3siny  

Q: C. Solve the given application situations. 7. A manufacturer estimates that the marginal cost of pro...

A:

Q: b. Suppose the function h is defined as h(x) = 3f(x). Determine the domain and range of h.

A: b. Given that  h(x)=3f(x) Domain of f is [0,4] and range [0,2]      

Q: You are planning to make an open rectangular box from an 8-in.-by15-in. piece of cardboard by cuttin...

A: Given query is to find the dimensions of the box.

Q: C. Find the values of the constants c and k that make the function continuous at every number. S3x +...

A:

Q: 24. Use Newton forward-difference formula and construct appropriate interpolating polynomial and app...

A:

Q: Use the Chain Rule to find the indicated partial derivatives. x = r cos(0), y = r sin(0), z = re; w ...

A:

Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Vx² + y...

A: A differential equation of the formdydx=f(x, y)ϕ(x, y) is called a homogeneous equation if each term...

Q: rotate the region bounded by y=sqrt(x), y=3 and the y-axis about the y-axis

A:

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

A: topic - differential equations

Q: The graphs of two functions f and g are shown below. 4 3 2 12 4 5 -2 -4 a. Write a function formula ...

A:

Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If = increase in 1...

A:

Q: 1. Write the equation of the line tangent to the graph of the given function at x = 1 y= 5x²-3x+1 2....

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: Water whose temperature is at 100°C is left to cool in a room where the temperature is 60° C. After ...

A: T=60+40ekt Substitute t=3 , T=90  90=60+40e3k90-60=40e3k3040=e3ke3k=343k=ln(34)k=-0.2883k=-0.096

Q: 1-4sect + sin² t (Ans: d tant dt cost - 4 cost(cost – 4)

A: Topic = Derivative

Q: lim (2x – 3) - 3) X→2 indicate if the limit of a function Exist or Does not exist. And explain why. ...

A:

Q: (6) Find the direction and magnitude of the greatest rate of change of T at (3 -) 2)

A:

Q: the derivatives of the following

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

A:

Q: What are the dimensions of the can with greatest volume?

A: Follow the procedure given below.