What is the accumulated value of periodic deposits of $4,500 made into an investment fund at the beginning of every six months, for 4 years, if the interest rate is 3.75% compounded semi-annually? Round to the nearest cent

Q: solution

A: We have to find the derivative of the given function using the rule of derivative

Q: Let P(x) = F(x)G(x) and Q(x) = F(x) where F and G are the functions whose grap G(x) y F 2 -1 4 8. Fi...

A:

Q: 7. This problem requires calculus. Let P = {a,x" + an–1x"-1 + ...+ a1x + ao | n > 0, ao, . ., an E R...

A: Given P is a set of polynomial function of degree n of real co-efficients and a function F:P→P such ...

Q: (Arcsec sinx)? –9 dx Evaluate cot x, sin?x – 1 Isec-isin xv(Sec-'sin x)* – 9 – 3In|Sec-'sin x + V(Se...

A:

Q: 9. Evaluate the integral ex V2e-2x – 3e2x 2/2e-2x – 3e2x +C А. 1 3eªx – 2+C B. 2/3 Arcan V3e2x Arcsi...

A:

Q: As x approaches 0, the left and right limits equal 3. However, the actual y-value at that point is -...

A:

Q: 3. Given n > 1, let S, = E-. Show that S, is not -k=1 k° an integer.

A:

Q: Find g' (3) given that f(3) = -6 and f'(3) = 4 %3D (a) For g(x) = 3xr² – 5 f(x) %3D 1 g' (3) = %3D 2...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 5 x2'

A:

Q: 00 k k 2. Σ (- 1)- k+1 k=0

A:

Q: Find the laylar polynomials of orders = 0,1,2,3, and 4 about x = No, and then find the nth laylor po...

A:

Q: rectangular carpet has an area of 220 yd^2 .The width of w is 9 yards less that the length l.find th...

A: Options are wrong I have given you correct answer

Q: Is the series divergent or convergent? With solution and explanation. +oo El-1)» (2n)! 2n n=1

A:

Q: Evaluate f'(x) at x = 2.

A:

Q: 22. Determine f(x) so that cos(In²x) f(x) dx = sin(In²x) + C (a) 2 In x 2 In x (b) Inx (e) NIK

A:

Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

A:

Q: Given the matrix below, determine the following:  a. Cofactor of the element 5 b. Cofactor of eleme...

A:

Q: Identify the parent function represented by the graph. f(x) = Identify the transformation represente...

A: We have to write an equation for the function represented by the graph.

Q: 11. Determine fuu for the following situation. f = f (x, y) x = u² + 3v, y= uv 33

A:

Q: 72. Existence of integrals For what values of p does the integral dA exist in the following cases? a...

A:

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: (4x2+y2)dxdy = -xy ....(1)f(x,y) dxdy =ϕ(x,y)The given differential equation is ahomogenous equation...

Q: 11. What is the lim (5x? – 4x + 3)? x-2 А. 13 В. 14 С. 15 D. 16

A: 11.limx→2(5x2-4x+3) Recall: polynomial p(x) then limx→ap(x)=p(a) Soln: let p(x) be 5x2-4x+3 therefor...

Q: 7. dx For the integral which of the following options is correct? A. lim (x – 1)½ |", + lim (x – 1)½...

A: ere, the given integral is: ∫-12dx(x-1)23 which is an improper integral of type 2 because the integr...

Q: x3 + 3x2 + 4r +1 dx (r2 + 2x + 2)2

A:

Q: Ind the Fadlus of convergence of the power series. (If you need to use ∞ or -o, enter INFINITY or –I...

A: Given query is to find radius of convergence.

Q: (b) Let u = u(x, y) and f and g be twice differentiable functions. Then, a general solution to the e...

A: The objective is to find the general solution u(x, y) .

Q: I. Determine whether the series converges using any appropriate test. Identify the test for converge...

A:

Q: 3. Verify that each of the following statements is a false statement by finding a counterexample for...

A: Both statements are false : We can verify by giving an example. In the first statement for x=2 , sta...

Q: Consider sequences n+1 n+2 (1) tan 2n (i) n+ (- 1)". Which of the above sequences are monotonic: A. ...

A:

Q: dx - (1 + 2x tan y) dy = 0

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: Determine the set of values of the continuous function defined by the formula: a) f(x)=cos sin

A: Given that fx=cosπ3sinxgx=π3sinxsinx is continuous in x∈-∞,∞gx is also continuous .Range of sinx is ...

Q: 7. Determine f (x) so that | cos(In°x) f (x) dx = sin(In²x) + C 2 In x In x (а) 2 In x (c) - (d)?

A:

Q: Which of the following is cluster point of sequence a O A. 0 O B. -3 O C. 2 O D. All of the above ch...

A:

Q: 6. Which of the following is not true about function? a. Function is composed of two quantities wher...

A:

Q: csc x du (3T 5. If u = f(x), then dx sin x – cos x Compute f и %3D (a) 1 (b) -1 (c) 0 (d) 2

A:

Q: In3 ex i. dx In2 4- ex i. X/16 - Inx e 1 iI. i xInx In2 1 dx Ino.5 e2x + 1 iv.

A:

Q: Use sigma notation to write the Maclaurin's series for the function f(x) = x cosx. Show complete sol...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 P (X) –

A: Taylor polynomial of 4th order of function fx at a is defined as: fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x...

Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

A: Given function f(x)=eaxseries is given as p0(x)=f(0)p1(x)=f(0)+xf'(0)p2(x)=f(0)+xf'(0)+x22!f''(0)p3(...

Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 6 6 2r – 6)* k...

A: Here we have to use sigma notation to write the Taylor series about x=x0 for the function f(x)=ex; x...

Q: Find the derivative of the following functions using the definition of the sine and cosine function....

A:

Q: Evaluate the integral cot 2x Xp- Vcot2 2x - 15 -금ArCsec Csc 2x +C A 4 -nlcot 2x + Vcor 2x - 15|+C co...

A: This question is based on indefinite integral.

Q: Solve the differential equation with approphate method. Express final answer in its simplest form. *...

A:

Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

A:

Q: Find the Taylor polynomials of orders n = 0.1,2, 3. and 4 about 2 = x, and then find the nth Taylor ...

A:

Q: 4. ; Consider the vectors u = (4, 1, 2) and v = (2,-1, 5). You may also assume as given the followin...

A:

Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3...

Q: n+ In(3) Then the limit lim a = - 00 Given the sequence

A:

Q: dx 2х — 10 15. Evaluate A. Ο В. 1/2 С. C. 00 D. - 00

A: