Determine the present value P that must be invested to have the future value A at simple interest rate r after time t. A = $1500, r = 6%, t = 5 years $ (Round up to the nearest cent.)

Q: 3 2x – x 1 dx = - arctan(x) – x - 1 -- In \x – 1| + 2(x – 1) 1 + C - (x – 1)²(,² + 1) 2

A: In order to evaluate the integral, firstly we need to split it into partial fraction and then integr...

Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

A:

Q: 7. In the sequence 20, 14, 8.e which term has a value of -70?

A: Given, 20,14,8..... The series is arthematic because constant difference Formula: Arthematic nth num...

Q: The length of an arc of a polar curve r = f(0), a < 0 < b, is given by the formula: %3D Find the len...

A:

Q: compare with Euler's method. y' = y + t2, y(0) = 5; exact solution is y = 7et − 2 − t2 − 2t Estimate...

A:

Q: (b) i. Given that y, (x) = x° is a solution of the homogeneous second order ODE %3D a²y" – xy'– 15y ...

A:

Q: Using polar coordinates, find the area of the region shared by r=6cos(theta) and r=6sin(theta)

A:

Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

Q: Find the Curvature of the space curve r (t) = t i + t? j + -2 t3 k at t = Enter an integer or a full...

A:

Q: Find all the values of x such that the given series would converge. (х — 10)" - 10" n=1 Answer: Note...

A:

Q: The Maclaurin series of the function f(x) = 3a?e-9z %3D Σ can be written as f(x) = Cna" %3D n=0 wher...

A:

Q: (a). Determine whether the Mean Value Theorem applies to f(r) = x In x on [1, e]. (b). If so, find t...

A:

Q: A particle moving along a curve in the xy-plane has position (x(t), y(t)) = (-9 sin(9t), 3t² + 10t),...

A: Solved below

Q: The Maclaurin series of the function f(x) = 6z tan-(9z) %3D can be written as f(2) = Cnz" n=0 where ...

A:

Q: Find all the values of x such that the given series would converge. (x – 9)" 92 Answer: Note: Give y...

A: Given:     Limit is given

Q: Find the solution to the initial-value problem. y' = 2xy(1 + 3y), y(0) = −1 y =

A:

Q: The trough shown below is full of water. How much work does it take to pump all of the water out of ...

A: This question can be solved by applying the concept of  Work done=∫F.ds

Q: The principal represents an amount of money deposited in a savings account subject to compound inter...

A: The objective of the question is evaluate the compound interest and solve the algebraic expressions.

Q: 18 n(n + 3) n 1

A:

Q: Find the solution to the initial-value problem. y' = 2xy(1 + 8y), y(0) = −1 y

A:

Q: Find dy/dt of y = Ssin (cost) and simpli -t -cos t cos t V1-? the

A: Given:- y=sin(cos-1(t))  To find:- y'

Q: Find all the values of x such that the given series would converge. x" n! Answer: IM:

A:

Q: Which of the following is NOT true about the graph of parabola with equation in standard form (y - 1...

A: In order to check the points we need to compare the equation of parabola with the standard equation ...

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (A: Quadrant I, x : Quadrant...

A: Given query is to find the value of the indicated angle.

Q: Find the first five terms of the Taylor series for the function f(x) = ln(x) about the point a = 10....

A: We know that; The Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+… Where: centered at a or x=a...

Q: A new manufacturer of automobiles in Canada has determined that the quantity demanded of their brand...

A: Given p(x)=-x^2+6x+36    and interval 3&lt;x&lt;9

Q: What is the graph of the equation (x – xg)2 + (y – yo)² + (z – zo)² = r2 where r = 0? Sphere Concent...

A: Given equation is  x-x02+y-y02+z-z02=r2 When r=0, given equation turns into x-x02+y-y02+z-z02=0 As s...

Q: Use the method of partial fractions to evaluate each of the following integrals. dx 206 J-10x² +9

A: Given:   ∫1x4-10x2+9dx

Q: Determine the equation of the hyperbola using the information given. vertices located at (5, 0), (−5...

A: QUESTION- Determine the equation of the hyperbola using the information given. vertices located at (...

Q: an=(tan-1(n))/n, limn->infinity an=?

A:    limn→∞ arctannnlimx→afxgx=limx→afxlimx→agx,   limx→agx≠0=limn→∞ arctannlimn→∞ n=π2∞ Apply Infinit...

Q: Write the equation of the line tangent to the graph of r = 5 cos (40) when 0

A:

Q: %3D %3D Find the area of the region enclosed by y = 4e", y 9e- and x = 0. 7. 5- 2- 1+ 0.1 0.2 0.3 0....

A:

Q: Determine the convergence or divergence of the series. (If you need to use co or -0o, enter INFINITY...

A:

Q: II. Worded Problems 1. A rope 96 feet long is divided into ratio 3:5, find the length of each part.

A:

Q: 1.) Explain why the integral below is an improper integral and what two integrals tell us whether it...

A:

Q: Answer B, Designing a Norman Window ANorman window has the shape of a rectangle surmounted by a semi...

A: Given that Radius of semicircle=x length of ractangle =ywidth of ractangle=2xperimeter of window=28 ...

Q: 2. For the curve y = x3 + 2x² + 4 a.Solve the normal line at point (-2,4) b. Locate the possible max...

A:

Q: In how many ways can ten people be seated around a circular table if three of them insist of NOT sit...

A: Given problem:- In how many ways can ten people be seated around a circular table if three of them i...

Q: (x- h)?, (y-k)² Which of the following is true about ellipse with equation in standard form 1, a>b? ...

A:

Q: IV. Find the derivative of the given function. 1. u = t³(sin In t – cos ln t) 2. y = e-2* (1 + e-2x)

A:

Q: Write the Taylor series for f(x) = e" about a = 4 as en (x – 4)". n=0 Find the first five coefficien...

A:

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative tes...

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or   f(x...

Q: Given the series (n!)3 (7п)! n=1 an+1 find the ratio an (Express numbers in exact form. Use symbolic...

A:

Q: Given: sin a = and cos x = - 13; evaluate the following expression. (A: Quadrant I, x : Quadrant II....

A: We have,  cosx = -1213 Formula Used:  cos2x = 2cos2x-1 To evaluate: The value of cos2x

Q: Solve and check the equation. 6x – 5(x+ 6) = 2x - 3 Select the correct choice below and, if necessar...

A:

Q: 4. A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline Lin...

A:

Q: y = x²(x – 5)²

A:

Q: Find y" il y= (r+ 1)² + VE when t= 1. O a.1.75 Ob.3.5 Oc.225 Od.2.25

A:

Q: 5. Sxcot°(10x²)dx 6. S ( tan (3z) dz cos*(3z)

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: