2. An area is bounded by the curve y = 8/(x² + 4), the x-axis, and the lines x + 2 = 0 and x-2 = 0. Find the area bounded.

Q: (2xy-tany)dx + (x² – xsec*y)dy = 0; y(1) = *

A:

Q: Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by M(x.y) ...

A:

Q: 15 4 -4-3 -2 4 2- -3 3.

A: Accordimg to given graph a. As x→-2-  fx→∞b. As x→-2+  fx→-∞

Q: Find f'(t) for the function f(t) = est +sin(t) 2t Do not simplify the expression you get. 2t(3et +co...

A: To find f't of the given function.ft=e3t+sint2t

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: 17. Find the area enclosed by the x-axis and the curve y = -x² +9 32 s.u. а. 3 b. 18 s.u. с. 36 s.u....

A: Find the area enclosed by the x-axis and the curve y= -x2+9 

Q: 11.Determine the equation of the curve whose tangent line at any point (xy) is e* – sin x and passes...

A: Given problem:- Determine the equation of the curve whose tangent line at any point (x,y) is ex -sin...

Q: Find all the second-order partial derivatives of the function f(x,y) = 4x2 + 9y + 7x2y?.

A:

Q: v(v² –1)dv 3. S v2 +1

A:

Q: The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is g...

A: Note that:-Velocity of a particle is given by differentiating distance d(t) with respect to (w.r.t) ...

Q: a. lim f(x) = x→∞ Preview b. lim f(x) = Preview с. x→-7 lim_f(x) =

A: The given function is: f(x)=-(5x+3)2(x-1)(x+7)2(5x+3)

Q: What is an antiderivative of **+2, x2+1 .. x + arctan x-5 2x +3 x + arccot x x + 2arctan x +1 A. D.

A:

Q: (b) What is the average rate of change in the size of the tumor during the first two months? Round y...

A:

Q: Hannah buys 2 dozen roses. Of these roses, are red, and the rest are white. How many white roses doe...

A: We need to find number of white roses.

Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.

Q: Evaluate the integral of xydx from x =3 to x=6 when x = 6cos angle and y=2cos angle

A:

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: 16x2 - 25 -da Evaluate the integral: 23 (A) Which trig substitution is correct for this integral? O ...

A:

Q: Find the general solution of the differential equation æyl + 2y! – (x + 2) cos (x) + y = 0 and choos...

A:

Q: B In Problems 17-34, use implicit differentiation to find y' an evaluate y' at the indicated point. ...

A: Given:-ey=x2+y2 ; (1, 0)differentiate both sideseydy=2xdx+2ydyeydy-2ydy=2xdxey-2ydy=2xdxdydx=2xey-2y

Q: Use the chain rule to find D (f o g) (–1,2) for f(u, v, w) = (v² + w², u³ – vw, u²v+ w) and g(x, y) ...

A: This question is related to derivative of composite function.

Q: In the following questions, determine the 7x3 + 9x behavior of h(x) – x³ + 10x If a limit does not e...

A: Given query is to find whwrw fui is undefined , vertical asymptot and hole.

Q: For the initial quantity Qo = 500 and a decay rate of 2% per unit time, give a formula for quantity ...

A: Decay rate

Q: Use Newton's Method with the function f(x) = x³ – 5 and initial value xo = 1.5 to calculate æ1, x2, ...

A:

Q: Tuition cost, T(in dollars) for part-time students at Stonewall College is given by T = 300 + 200C ,...

A:

Q: he voltage for alternating current is modeled by the function (t) inimum voltage for this model? 231...

A: Given query is to find the minimum voltage.

Q: a. What is the bridge's height above the water? feet Preview b. How many seconds after being thrown ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

A:

Q: Given F(r, s, t) =r(3s² + 9t°), compute: Frst

A:

Q: Determine the equation of the curve whose tangent line at any point (x,y) is e- sin x and passes thr...

A:

Q: How is the angle of a right-triangle changing as the adjacent side is changing? de Assume that the s...

A: Given, Adjacent=x Opposite= 20 Angel= θ

Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and...

A:

Q: Find the value of k so that the value of f (2y- 1) dy is 10. 1 4

A: We have to find the value of k. 

Q: 1. find the area enclosed by the x-axis and the curve y= -x^2+9

A: The region enclosed by the x-axis and the curve y=-x2+9

Q: Find Homogeneous DE y'-ay=0

A: Given that: y'-ay=0

Q: If f(x) = Vr, match each formula to its corresponding graph. the graph in red 1. g(x) = -f(2x) 2. h(...

A:

Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C D....

A:

Q: Solve the differential equation y' = e4Y sin(5x) and choose the correct answer from the following op...

A: Given:- y'=e4y sin(5x)  To find:- General solution of given differential equation

Q: How many transformations must be applied to the graph of the function f(x) to get the graph of the f...

A: The transformation from f(x) to g(x)=2f(2-x)+2

Q: A company’s total sales (in millions of dollars) t months from now are given by S(t) = 3 + √t  a. Fi...

A: Given s(t) = 3+tinstantaneous rate of change is given by     R = ds(t)dt

Q: Evaluate the integral fw(2w +3)² dw A.) w+4w3+w² + C B.) w+2w3+9w² + C C.) w2(w²+4w+9/2) + C D.) 2w ...

A:

Q: Let s = f(t) give an object's height, in feet, a seconds after it is thrown. After 3 seconds, tE fee...

A:

Q: -2. The graph of f(z) is shown in red. Draw the graph of g(z) = f( - a). Make sure to start at one o...

A: Since  you have posted multiple question as per guidelines we can solve only one question at a time ...

Q: The vector v=ai+bj is parallel to the line bx−ay=c. Use this fact to find an equation for the line t...

A:

Q: (e* –1) -dx (e +1) vel

A:

Q: Given the linear system x1 - x2+ x3 + x4 =5 - 2x3 + 4.x4 = 3 2x1 - x2 - a3 + 4x4 =7 a) Write its aug...

A:

Q: A child is on a swing. At its highest point, the swing is 5 feet above the ground. At lowest point, ...

A:

Q: dy When solving the Bernoulli DE: x - = , which of the choices is utilized for (1+x²)y substitution ...

A:

Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

A:

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

A: According to the question: It is given that dPdx=0.0006x2+10. we have to find P when x=100. Now  dPd...