How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate of 0.2 cm/sec?

Q: b) y = -2x2

A:

Q: QUESTION 3 What is the graph of the equation x2 + z2 = 1? Circle Cylinder Plane Sphere

A: ⊙The standard equation of circle in x-z plane with centre (h,k) and radius r is given by:           ...

Q: . Evaluate the following limits. 1.lim cos .2 () 2. lim sin x→0 (- 3. lim 3¬× X→-2

A: 1. limx→πcosx22. limx→0sinxx3. limx→-23-x

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dv 3 V

A:

Q: Evaluate the following integral. 18x2 dx 2 x* - 41x + 400

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Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"...

A:

Q: Find the absolute extrema

A: We use second derivative test for this problem

Q: applying lim 6-ydy can be eliminated by The infinity in the V6-ydy t-- 80 O True O False

A:

Q: Evaluate the limit lim sec 10

A: Please refer to the image below

Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...

A: topic - application of derivatives

Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest p...

A: This question can be solved by the concept of maxima and minima.

Q: b) f(x) = cot-1(x²) %3D

A:

Q: Q.3\ The Maclaurin series for cos(2x) for every x is:

A: In this question we have to find the Maclaurin series for cos(2x).

Q: ad the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or -...

A:

Q: Problem 13. Let f(x) = 2sirtx) %3D f'(x) =

A: We know that; The Chain rule: fgx'=f'gx·g'x And ddxax=axlnaddxsinx=cosx   Given: fx=2sinx

Q: QUESTION 11 Find y" of y = X-1 y" = (x- 1)3 y" = -2 (x- 1)3 2 y": (x- 1)2 1 y" = (x-1)3 | %3D

A:

Q: Evaluate the limit lim sec 3 1→ 10

A: Given problem:-

Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

A: The length of the hypotenuse of a right triangle is 10.

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

A: Given query is to find the length of the curve from (-27,9) to (8,4).

Q: y'=2+ye^(xy)/2y-xe^(xy) find the exact equation

A: Exact DE

Q: Evaluate // (x – 12)dA where Risthe region in the first quadrant enclosed between y = x and y = x. R...

A:

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph ...

A:

Q: y'=(x^2+y^2)/xy solve using homogeneous equation (diff eq)

A:

Q: The angle of rotation is 18.485 of the conic section with equation Ax-Bxy +Cy 4, if A- C- 20 and B+C...

A:

Q: а. y = Vx and y = x3 %3D

A: As per Bartleby's Rule:Since the three questions are not connected, so they are three different ques...

Q: . Consider the function f(x, y) with level curves as shown below. At the point P are two vectors 7 a...

A: Solved below

Q: QUESTION 10 How fast is the area of a circle changing when the radius is 10 cm. if the radius is cha...

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 - x...

A:

Q: Q.4\ The Taylor series for cosh(x) is:

A:

Q: A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then su...

A: NOTE: Refresh your page if you can't see any equations. . mass is m=1 kg the spring constant is k=24...

Q: If f(x) V4 + 4t° dt, then find f'(x). -

A:

Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

Q: Evaluate the integral. Show all of your work. x* х-1

A:

Q: Shown is the graph of the polynomial y = g(t). a) Find a possible formula for the graph shown. b) Es...

A:

Q: QUESTION 3 dydx ? VX What is the reversed order of integration of a. e dxdy Ob. e dxdy Oc. e dxdy d....

A:

Q: Find the equation of the normal line to the curve y = x³+ 3. at (1, 4). %3D O a. x = 1 O b.y = 4 O C...

A:

Q: Findy ot x-5xy+3y =7 Oy= 2x-5y 5x+6y 2x-5y 5x-6y 2x+5y Oy 3x+6V 2x+5y Oy- 5x-6y

A: Given y² - 5xy + 3y² = 7 To find y':

Q: dy x fan x %3D

A: Given: -The equation is dydx=xtan-1xy To find: - The solution of the given equation.

Q: Evaluate the following integral. 169 dx 3 x° - 13x Find the partial fraction decomposition of the in...

A: Given problem:-

Q: -1 Evaluate: lim a. 00 O b. 1 O c. 0 d. - 00 QUESTION 3 Using differentials, if determine the approx...

A:

Q: For the function f(x)=x²-x³, find a formula for the Riemann sum obtained by dividing the interval [−...

A:

Q: (b) f(x) = (3x – 2a²)³

A:

Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

A:

Q: Find the exact length of the curve. y = 2/3x3⁄2,    0 ≤ x ≤ 1

A:

Q: Find the length of the curve defined by the following function for 0 <t < 2n. 7(t) = (– cos 2t)i + (...

A:

Q: Find domain a 1 f(x,y)= (1/xy) 2 f(x,y)= sqrt(y-x^2)

A:

Q: Find the derivative of the vector function below 2, r(x ) = sin (secx ?)i +csc°(Vx² +1)j +8tan(x -) ...

A:

Q: A shoreline observation post is located on a cliff such that the observer is 290 feet above sea leve...

A:

Q: n 4n – 1

A:

Q: Solve the system of linear equations given below. —В — С + 4D %3D 1.8 4А — В — С — 0.5 -A + 4B – D =...

A: Given information -------------------------------------------------------------------------------- ...