Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the investment to grow to $30000? Use model A(t)=pert  How many years will it take to reach 30000 ?

Q: 4. Determine the equation of the plane passing through the point (1,-4, 3) and parallel to the plane…

A: Explanation of the answer is as follows

Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…

A: To determine the equation of the plane passing through the point 1, -4, 3 and parallel to the plane…

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A:

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 8 cos TX ...…

A: The Maclaurin series is given by  f(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+...

Q: Find the differential dy: y = In (sec2 (3* )). -2a+5 O tan (3-2+* ) dæ -2r+5 dy = (x – 1)…

A:

Q: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: V. Let z be a function of r and y, and tan y2 + x2 = z*ey. Solve for dz dz and

A:

Q: 4) By Diskuethod Detremin the volup Hiw Dx=1 and lnes y=1 aboat x=0 2) fex) = x? and line y:1 in the…

A: Given

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A: we have the following antiderivative formulas∫cosx dx=sinx+C∫secx tanx dx=secx+C∫sinx…

Q: Integrate 7 dx , 1+ Vx+1 3

A:

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A:

Q: For the function f(x) = xe-2x give intervals of increase/decrease and intervals of concavity.…

A: Let's find.

Q: x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and…

A: As per guidelines of Bartleby I am supposed to answer only first three parts of this question. If…

Q: A local diner must build a wheelchair ramp to provide handicap access to the restaurant. Building…

A: Given ,  A local diner must build a wheelchair ramp to provide handicap access to the restaurant.…

Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

Q: 3 4 11) –3 0 -5 Ans. r = 2 - 4 5

A: A detailed solution is given below.

Q: tan x - dx 2 sec x – tan x 2.

A: Topic:- integration

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: Express à to the vector (1, 4, 2). (3, 1, – 1) as B + C, where B is parallel to the vector (1,4, 2)…

A:

Q: 3. Evaluate the integral / Vr+3 (x- 1 4 4 (a) 극(z +3)72-(r + 3)52 + 국(2 +3)%2 +C 1 4 (b) (r + 3)"…

A: This question is related to Indefinite integration, we will solve it using given information.

Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: X=34-3 X=2-2y (-3,0) 12,07 y = 2X-4 -4 49-3

A:

Q: For numbers 9-11: Given a circle passing through the point (5,9) with radius equal to 4. 9. Where is…

A: Explanation of the answer is as follows

Q: sin x S + 3x)dx 1. cos x dx 8 sin?x cos²x 4. 了 1 2. 了 dx 1-cos x 5. J sec x(sec x – tan x) dx 2 secx…

A: These all are solved by the help of standard trigonometric Antiderivative.

Q: Find an implicit and an explicit solution of the given initial-value problem. dy y – 1 dx x? - 1'…

A:

Q: 1 -dx. State whether the improper integral converges or diverges. 22 +4 Evaluate 00

A: We have to check weather the given integral is converges or diverges.

Q: A supermarket sells two brands of coffee: brand A at $p per pound and brand B at $q per pound. The…

A: Revenue = price per unit × number of units.

Q: I. Find the point/s of intersection of each of the following figures given below, draw element and…

A:

Q: (x, y) = (1, –1) { 1 Show that the function f defined by f(x, y) x2 + y (x, y) # (1, –1) x + y is…

A:

Q: dx 8. Evaluate the integral / zlnrV(In x)² – 8 x In a V(In a)2 – 8 |

A:

Q: 1 2" 3" 1 Find the sum of the convergent series. n-4

A:

Q: Integrate 1 x + 1 dx x + 1 2

A:

Q: Find the minimum and maximum values of the function y = 8Vx? +1 – 5x on the interval [0, 3] by…

A: To find the minimum and maximum values of the function y=8x2+1-5x on the interval 0, 3 by comparing…

Q: 1. Evaluate the given line integral, (-y,x – y) · dR, where C is the upper part of x² + y? = 4 from…

A:

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: Consider the lines x = -1+ 2s l2 : y = s z = 5+ s л — 5 3 - z l1 : 2 and I. Find two unit vectors…

A: Given

Q: 2y(x? — у + х)dx — (x2 — 2у) dy %3D 0

A: I think mistake in question inplace of -ve sign.

Q: tan () (9) sin (4) F. Evaluate the integral r2 cos ()

A: integration

Q: 3 – z = y +1 = 2.

A:

Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

A:

Q: You weigh out a diamond and get 10.0 grams on your scale, knowing this is a rounded result. Between…

A: We have to find 2 weights, between them weight of the actual diamond found.

Q: 3s + 2 4s2 + 12s + 9 3 4 + 4 stet 3 2 Option 1 Option 2 3 2 4 + tet 4 3 2 Option 3 Option 4 None of…

A:

Q: x3-1 dx J2+2x+5

A:

Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

A:

Q: ²+² +1) d + a (a – 2y) dy = 0 %3D

A: Given problem:- Find the solution of the given differential equation:  (x² + y² + 1) dx + x (x - 2y)…

Q: A candy company makes two types of chocolate bars: milk and dark. The milk requires 9 minutes in a…

A:

Q: A. For each of the following functions z, find and dx ду 1. z= sin3x cos4y 2. z = tan- 1 (2) 3. yz +…

A: 1). Given: z=sin3xcos4y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…