24.) The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of change of the area when radius is 32 centimeters.

Q: (a) Evaluate sin 2z -dz, 3z -ĝi where C is an anticlockwise unit circle centred at the origin.

A: Follow the procedure given below.

Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

A:

Q: The polynomial of degree 5, P(1) has leading coefficient 1, has roots of multiplicity 2 at a = 2 and...

A: Given: - The polynomial of degree 5, P(x) has leading coefficient 1,has roots of multiplicity 2 at x...

Q: Seuchudu = In) tanh 5 ul +c In tanh %3D

A:

Q: determine whether the statement is true or false. If it is true, explain why it is true. If it is fa...

A: Given: Iflimx→7 g(x) = 0 and limx→7 f(x)g(x) = 0 exists, then  limx→7f(x) = 0.

Q: Write the equation of the line tangent to the graph of y2 = 6y-4x+3 at (-1,-1).  The equtaion is y=...

A:

Q: Where is the graph not differentiable? a. x = -2, -1, 0 b. x = 0 c. x = -2, -1, 0, 1 d. x = -2, -1,...

A: Given query is to find where graph is not differentiable.

Q: The transformation of a function f(x) into a function g(x) is given by g(æ) = Af(Bx + H) + %3D where...

A: We are asked to find the transformation.

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer i...

A:

Q: A company can sell x units of a product when the price is p = D(x) = 3.00 – 0.002x dollars. The tota...

A: Given , No of unit =x Price=p Also given P=D(x) =3.00-0.002x and C(x)=0.006x2+0.52x+270 Hence,    

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 9 lim t-0 1 + t ty

A: Given :limt→0 9t1+t-9t

Q: 3(-2х + 2)5 3. y= x²e5x _ + sin² ( – 3x) (x – x²)"

A: First divide it in 3 individual differentiation and then diffrenciate and finally add all to get the...

Q: Find an equation for the paraboloid z = x2 + y? in spherical coordinates. (Enter rho, phi and theta ...

A:

Q: For y = sqrt5x+8   find dy, given x=2 and delta x =0.09. Round to the nearest thousandth

A:

Q: The transformation of a function f (x) into a function g(x) is given by g(x) = Af(Bx + H) + K. %3D w...

A: Topic = Functions

Q: 8) For this problem, consider the function f(x) = e". (a) Find P3(x), the third-degree Maclaurin pol...

A: Find your answer below 

Q: 15? - 17 What is the exact value of sin (cos-le) where e = Provide your answer below:

A:

Q: Consider the following sequence: +00 7" {an} = n=1 An+1 to show that the given sequence {an} is stri...

A: Given that: {an}=7n6n21∞

Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:  f...

Q: Evaluate: x In a dx

A:

Q: The differential equation below models the temperature of a 94°C cup of coffee in an 18 C room, wher...

A:

Q: 13) Find the radius and interval of convergence of the power series (-2)" (x+3)" 3

A:

Q: The triangle needs to be solved. Round to nearest ten

A:

Q: A robot arm joint moves in an elliptical path (horizontal major axis 8.0 cm, minor axis dy 4.0 cm, c...

A:

Q: Anwer these questions Logarithmic functions and their rules: what does log(x) look like on a graph ...

A: Here we have to use the graph of logarithmic function , polynomial and exponential function

Q: (D3 – D2 + D – 1)y 4 sin x

A:

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Aƒ(Bx + H) + K. where ...

A:

Q: 10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observe...

A: From Pythagoras theorem  for a right angle triangle with base a, height b, hypotenuse c we have, a2+...

Q: Find the limit. est – 1 lim t-0 sin(t)

A:

Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8  

Q: Given C = 1850 + 5000e(29+6)/800 find dC dg | 9=200

A: Average function is given, need to find derivative of the function C.

Q: 10) Determine whether the series converges or diverges 2" n! n"

A: The given series,  ∑n=1∞2nn!nn

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the d...

A: We will solve by using alternative form of derivative as shown below 

Q: Let z = f(x,y) be a function with continuous second partial derivatives throughout R2. Assume that f...

A: RECALL: Suppose (a,b) is a critical point of f(x,y) and the second order partial derivative are cont...

Q: Find the complementary angle of 45.2°. The complementary angle of 45.2° is °. (Type an integer or a ...

A: Complementary agle =90°-angle  =90°-45.2° =44.8°

Q: Given that a1= -15 and d=-4, find the first six terms

A:

Q: Put the function P = 8(1.8)' in the form P = Pekt. NOTE: Round your answer to four decimal places, i...

A: The objective of the question is rewrite the given function in different form.

Q: anager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5400 t...

A: Given query is to find linear relationship, slope and the graph.

Q: Determine the domain of f(x, y) = / x² + y² – . -

A: This question is based on finding domain of function.

Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The Average Rate of Change function is defined as the average rate at which one quantity is changing...

Q: Determine whether the following statement is true or false. Use a calculator when necessary. If c...

A: We will find the value of Tanθ and determine that given statement true of false.Below find the solut...

Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fy - ở² f_ (b) Find дхду

A: f(x,y)=xy+x+x cos y

Q: Don’t skip any steps please Polonium-210 has a half-life of 140 days. It decays exponentially, where...

A: Half life is 140 days, initially amount 100mg

Q: An ice cream shop estimates that the revenue (in dollars) from the sale of x cones is given by R(x)=...

A: Given: - The revenue from the sale of x cones is given byR(x)=11000ln0.02x+1 To find: - The change i...

Q: Use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unk...

A:

Q: Consider the exponential function f(x) = 58(0.36)x. What is the 1-unit percent change for f

A: We can find the 1-unit percent change for f as below.

Q: The points on the surface x2−2y2−3z2 = 33 at which the tangent plane is parallel to the 8x+4y+6z=5 p...

A:

Q: 11) Determine whether the series is absolutely convergent, conditionally divergent. convergent, 1 2y...

A: Find your answer below 

Q: 4. (D² + 4D + 5)y = 50x + 13e 3x

A:

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

A: Basic derivative problem