Solve for the 35th term, 40th term, 47th term, and 49th term of the Fibonacci sequence. Show your solution.

Q: 11. The integral of an(In|4x-12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. 2 С. 4 D.

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Q: find a and b if the line tangent to f(x) = a(x − b)2 − 1 at x = −3 is also tangent to g(x) = 1/4(x +...

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Q: dz 10. Compute az and for the following equation. dy e Y + xz? 6xy*z3

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Q: dx du 3. The integral reduces to k=, where u = f(x) and for some +1 constant k . Compute f(1). (a) (...

A: Given :∫dxex+1

Q: 2. (а, By completing the square, show that 1/2 d.x x2 – x +1 3/3 By factoring x³+1 as a sum of cubes...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)4 Σ f(x) = n = ...

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Q: 3x - 7x- 4 Find the derivative of y= .2

A: The objective of the question is derivative the given function.

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

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Q: Find h'(2), given that f(2) = -5, g(2) = 4, f'(2) = -2, and g'(2) = 3. %3D f(z) Express your answer ...

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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: How to do area & circumference

A: Given query is to describe how to find area and circumference.

Q: A contract requires lease payments of $800 at the beginning of every month for 6 years. a. What is t...

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Q: Find the radius of convergence of the power series. (If you need to use es or -eo, enter INFINITY or...

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Q: Calculate the future value of the following ordinary simple annuities. Round the answers to the near...

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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: If sequences (a,) and (b) converge to limit gand , respectively, then which of the following stateme...

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Q: 2 f(x)dx Given: There is a function F(x) such that when u= -x³, the 2 du resulting integral is Evalu...

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Q: Find the Maclaurin polynomials of orders n = 0. 1.2.3, eand 4 and then find the nth Maclaurin polyno...

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Q: 1. Consider the integral | 2nx g(x) dx . There is a function g(x) such that when u = In x the result...

A: The given integral is ∫2ln(x)g(x) dx. We have to find the value of g(3). Given that when u=ln(x) the...

Q: dx reduces to du The integral 3. ex + 1 where u = f(x) and for some и constant k . Compute f(1). (a)...

A: Given

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

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Q: 18. dx The integral - can be rewritten as V1 - x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī -s) s--00 s--00...

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Q: 20. Given: S 10 -dx Find: formula

A: Here we have to integrate the given function.

Q: Find /| v'e*** - y? when D={(x,y)E R? | x>0,y>0,x² + y?<1}

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Q: Eliminate the arbitrary constant: ry = C(x – 1)(y – 1)

A: Differential equation

Q: EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x? + 3y? and...

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Q: Instructions: Use Rules of Differentiation to differentiate the following functions. Show your solut...

A: Using product and division rule for differentiation. 

Q: Homogeneous Equations [x csc() – y] dx + xdy = 0 O In = cos() In/cos(;)| = = CX

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Q: Evaluate the integral V4x4 – 12x2 +7 xdx

A: Using integration of square root of x2 - a2 and follow step 2nd . 

Q: 2. Without specifically finding its roots, show that f(x) = 0 for some x E [1, 2] where x2 4 f(x) = ...

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Q: The number of licensed drivers in a country (in millions) can be approximated by the function g(x) =...

A: Here, the given function is: g(x)=178.277x0.065 where x is the number of years and g(x) is the numbe...

Q: Evaluate the integral cot 2x S- Vcot2 2x – 15 V cot? 2x

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Q: A. Let f(x)= 2x² +x. Use the definition of the derivative to find f'(x). B. Find the derivative of e...

A: Solving by using definition of derivatives

Q: dz dz 10. Compute for the following equation. and dx dy e*Y + xz? = 6xy*. *z° ||

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

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

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Q: Give a power series Cnx" such that it is convergent if |x| 1 of x = -1.

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Q: 1+ In x tan(f(x)) Find f(x) so that when u = f(x) the integral | dx can be rewritten as cot u du . А...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e, n- 5 Pglx) =

A: f(x)=e-x, n=5 Now P5(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+f''''(0)4!x4+f'''''(0)5!x5 f(x)=e-x,f(0...

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+ x CO f(x) = 1 + -x...

A: From binomial theorem we know, 1+xn=1+nx+n(n-1)2!x2+n(n-1)(n-2)3!x3+....

Q: 2. Consider the following graph. 2- -2- What is the equation of the asymptote present? A. y=3 В. х%3...

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Q: Diana obtained a business loan of $315,000 at 4.44% compounded semi-annually. a. What was the size o...

A: Given:    P = 325000    r = 4.44%     t = 30  Compound Semi Annually: n = 2

Q: person’s approximate brain weight is directly proportional to his or her body weight, and a person w...

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Q: he given values of the ndicated derivative.

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

A: Here, the given series is: ∑n=0∞(-1)n+1(n+6) xn...(1) Let, an=(-1)n+1(n+6)xn, n≥1

Q: Example 4: Show that the inverse of a point a with respect to the circle| z - c | = Ris the %3D R 2 ...

A: Given the inverse of a point wrt circle 

Q: Matthew invested $875 at the end of every month in an investment fund that was earning interest at a...

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Q: Find the solution of the following equations: 1. у' —х-4ху 2. (2xy + x² + x+) dx – (1 + x²) dy = 0 3...

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Q: Find the radius of convergence of the power series. (If you need to use o or -0o, enter INFINITY or ...

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Q: c) TR = (/Q5).(InQ)

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