how long would it take 20,000 to double if it earned 6.25 percent interest and was compounded continuously

Q: 6) as an ice block metts, the note at which its moss M, decreases is directly proportional to the…

A: NOTE: Refresh your page if you can't see any equations. . M=mass of ice cube dMdt=rate of change in…

Q: In this question, you will use a substitution to carry out the following integration: So If the…

A:

Q: Suppose w = 8x² + 2y², X = 3 cos(t) + 9 sin(t), and y = 3 cos(t) — 9 sin(t).

A:

Q: Find the radius of convergence, R, of the series. (-1)^ gn √n M² n = 1 +²

A:

Q: 12. In(x + In(x + 4) dx

A: We are required to find the value of ∫ln(x+4)dx   We are also required to check by differentiation…

Q: (15) Determine whether each integral is convergent or divergent. Evaluate those that are convergent.…

A:

Q: Use the first Taylor polynomial for √ at z = 4 to estimate √6. Round your answer to four decimal…

A: using first taylor polynomial for function f(x)=x at x =4  then we have to estimate value of 6   now…

Q: 7(x-3)² = 43-(y + 1)²

A:

Q: Find the area between f(x) = x^2-13 and the x-axis from x = 0 and x= 3. The area is blank square…

A:

Q: 10. Change the order of integration: a. 2 lay [re [ f(x, y)dxdy 10 In 44 b. f(x,y)dydx

A: Given integrals:- ∫12∫0lnyfx,ydxdy ∫0ln4∫ex4fx,ydydx

Q: The number of people that attended the annual street fair this year was 1230. It is estimated that…

A:

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: Let's find largest area , width and length.

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Given, an=67n+7

Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

Q: 1. adß+ ßda+aß(3da+dB) = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. y -4 A Find the…

A:

Q: Find the equation on the parabola that has it vertex at the origin and satisfies the conditions:…

A:

Q: Match the general solutions to the differential equations. ✓ (D² - 18D+81)y=0 (D²+14D+49)y=0 •…

A:

Q: Complete parts (a) through (c) for the following function. 1 x² +10x+21 f(x)= (a) Find intervals…

A: Given: fx=1x2+10x+21=1x2+7x+3x+21=1x+7x+3 Function is not defined at x=-7, -3. So, the domain is…

Q: Use the Ratio Test to determine whether the series convergent or divergent. Identify an n = 1 n! n…

A:

Q: Find the iterated integral. (Give an exact answer. Use symbolic notation and fractions where…

A:

Q: f(x, y) = 2x² + 4y² fz ( − 2, — 5) = | Question Help: Video

A:

Q: Find the area between f(x) = x^2- 9 and the x-axis from x = 0 to x = 6. The area is blank square…

A:

Q: Find the equation of the line tangent to the function at the given point. y = (-2x + 6)1/2 at (1,2)

A:

Q: Find an equation of the normal line to the curve y = In x that is parallel to the line x + 2y 1 = 0.

A:

Q: Given vectors u = (-2, 23) and v = Provide your answer below: (-2, 26), find vector u — v.

A:

Q: Consider the following series. n = 1 Evaluate the following limit where an = R = x n42n I = an+1 lim…

A:

Q: 1. y(y³ − x) dx + x(y² + x)dy=0

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

Q: 1. (y-x+xy cotx) dx + xdy = 0

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Determine the area of the region bounded by f(x)=√x and g(x) = x/2 on the interval [0,16]. Area =

A: The curves are given as , fx=x , gx=x2 Determine the area of the bounded region on 0,16.

Q: Use an inverse matrix to find the solution to the system. Find the inverse of the coefficient…

A:

Q: Solve the intial value problem for the given separable differential equation y'(x)=ycosx , y(0)=3

A:

Q: Inverse laplace 1/(2s^2+4s+20)

A:

Q: Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n…

A:

Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: (a) Find the polar representation(s) of the following point written in Cartesian coordi- nates: (x,…

A:

Q: Find the slope of the tangent line to polar curve 2 (²/1, 7). 6 = - 2 sin at the point

A:

Q: lim (z,y) → (0,0) x³ +48x² + 8y² 6x² + y² Use DNE for does not exist, oo for infinity or -oo for…

A: To find the given limit exist or not.

Q: Determine the Wronskian of the following functions: f (x)=x, f,(x)=e*, f (x)=xe* 3 00 O 2x -xe c²e²x…

A:

Q: Determine which of the following is the particular solution for the differential equation (D²-…

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: f(x) -4 -3 -2 10+ 8+ 6+ 4. 2 1 2 3 X Approximate the area between f(x) and the x-axis from x = -4 to…

A:

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1= C2= C3=…

A: The given function is; f(x)=sinx, x=pi/2

Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

A: Given query is to find the slope of tangent nad the equation of the tangent.

Q: For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select…

A:

Q: Inverse laplace 8/(3s^2+12)+3/(s^2+49)

A: The given Laplace transform is Fs=83s2+12+3s2+49. We have to find the inverse Laplace transform.

Q: Given the following vectors, calculate −8u+7v U=(-3,-1),V=(7,-1)

A:

Q: Given the following vectors, calculate −9v u=⟨−8,−4⟩,v=⟨3,−2⟩

A: Solution ) u = < -8 , - 4 >                   v = < 3 , - 2 >  - 9v = -9 < 3 , - 2…