Rev 13: How long will it take to build up a fund of $10 000$10 000 by saving $300$300 at the beginning of every 6 months at 4.5% compounded semi-annually?

Q: The elevation of a mountain above sea level is given by f(x,y) = 3000e-(* +2y* y100 (in meters). The...

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Q: Find the absolute extrema of the function f(x) = x?e-z on the interval %3D

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Q: What semi-annual payment must be made into a fund at the beginning of every six months to accumulate...

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Q: 2. 2i + 3 - i 1 + i

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Q: The price p (in dollars per pound) and demand z (in pounds) for almonds are related by r = 5600 In(1...

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Q: The equation of motion of a mass is given as: y= (0.51)e 0.-(0.01)e.2, where y is the displacement o...

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Q: The underside of a bridge is an arch that can be approximated by the relation y = −0.1x2 + 10, where...

A: y = - 0.1 x2 + 10y is the height and  x  is  the width  from   center of the bridge 

Q: Prove that if A and B are ideals such that A|B and B|A, then A = B.

A: Let us solve the problem based on classical algebra in the next step.

Q: 1 Let an n > 3. n vln n +00 Use the Integral Test to determine if the series An converges or diverge...

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Q: - Use the graphs of = irection in which the curve is traced as t increases. = f(t) and y = g(t) to s...

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Q: A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon...

A: Marginal cost is given by C'(x)   for 0 ≤ x ≤ 1300 Total cost ∫01300C'(x) dx To find integral we wil...

Q: 4. (2 v2 + i)- i (1 +v 2 i) 5. (1 - i)

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Q: Determine whether each of the following series converges or diverges

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Q: find the approyimate Value of 3/2 10/2 2- (3

A: For a function  f(x, y, z) whose partial  derivatives exists, the total differential of f is given b...

Q: c Given dy/lde =yal and when y=49, x =2, find the value gx when y= 49. %3B

A: As mentionedin question, solution of part c is here below.

Q: A trench is 10 m long and1 m deep. It is 2 m wide across the top and 1 m wide at the bottom. How man...

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Q: Solve the absolute value equation. |7k + 2| + 9 = 12 %3D

A: Absolute value: Definition:  The absolute value of a real number x, denoted and defined by x=x,x≥0-x...

Q: 3. Consider the surface integral || (Vx F) -n dS, where F = (0, 0, ryz) and S is that portion of the...

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Q: a3+ b where 3 2/3- 3

A: The conjugate of the irrational number: p+q is p-q. It is also known that c+dc-d=c2-d2.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: The volume of the solid generated by the enclosure of regions fx and gx from y=a to y=b is given as ...

Q: 4. Divide. y? + 10y +21 y +7

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Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

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Q: Find the length of the curve with the given vector equation. r(t) = 2t 4 1 + 11t j+ 10t 4 k, -1 sts ...

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Q: Let f(x, y, z) = In (x² + y + z²). The level surface f(x, y, z) = In 4 is a: Elliptical cone around ...

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Q: Use the generalized eigenvectors of A to find a general solution to the system x'(1) Ax(t), where A ...

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Q: 16.9. Let y denote the boundary of the domain between the circle Iz| = 4 and the square whose sides ...

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Q: V5 and an+1 = 5an. Find lim an. Let {an}1 be a convergent sequence defined by a1 =

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Q: Find the sum of the series. (-1)" Σ 3n+1 (n+1) n = 0

A: Given series is ∑n = 0∞(-1)n3n+1(n+1)

Q: 2-16 4. lim X-4 x+4 Vx-4 5. lim I-4 X-4

A: a). Consider the limit limx→-4x2-16x+4. Observe that the function is undefined at x=-4 since will be...

Q: The topic of total derivation

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Q: A rectangular box with a surface area of 28.5 ft has a square base and a length of 4 ft. Solve for t...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: cosh²x-sinh² x = 1

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Q: power series

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Q: Find parametriequations for the line described below. The line through the point P(4, -3, 3) paralle...

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Q: Solve y′′(t)−2y′(t)+5y(t)=H(t);y(0)=0 ;y′(0)=1;wherey′′(t)−2y′(t)+5y(t)=H(t);y(0)=0 ;y′(0)=1;where ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Solution:-

Q: Find 2t Trans form of dacivative for d²f and da f

A: 1st question is not clear I need more information to solve.

Q: 2. Let X1 and X2 be sets. Define functions T1 : X1 × X2 → X1, T2: X1 × X2 → X2 by T1(X1, x2) = x1, T...

A: Given that  X1 and X2 are two sets. Define the functions              π1 : X1 × X2 → X1    ,   π2 : ...

Q: 10 x2 +9 dx 5

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Q: 3. Let V, W and U be finite dimensional vector spaces. Suppose S: V W andT:WU are linear. Show (a) n...

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Q: Let x be a solution of the differential equation d?x * + 8x = 0 df 8. such that x(0)=1/10, x'(0)=0. ...

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Q: Michael starts a website for people in his town to share news and photos. Before launching the websi...

A: Given- Michael starts a website for people in his town to share news and photos. Before launching th...

Q: Use Comparison Test to determine whether the series 5n – cos 2n - converges or diverges. n³ + n² + 1...

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Q: Let f(x) = 3 x² +6. x +4 and g(x) = 4 x² + 8. x +3. Write down an expression to calculate the area b...

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Q: Solve simultaneously y(t) = 1 – al(t) 2 (t) = 2y (t) æ(t) = -yr(t) where x (0) = 2, a' (0) = -1, y (...

A: Given that yt=1-x''tz't=2ytxt=-y't We have to find only yt

Q: Find the absolute maximum and minimum values of the function on the given set R. f(x,y)=(x-2)+y"; R=...

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Q: 3. Use power series centered at x = 0 to find the recursion formula and the solution for (x2 + 1)y" ...

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Q: f f(x)= the cost (in dollars) of purchasing x candy bars, write a complete English sentence to expla...

A: For a function: y=f(x), the dependent variable is y and the independent variable is x . The value of...

Q: dx 1+ax log 1-ax Evaluate x 1-x

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Q: Suppose that u = ry while r(s, t) = 1+ e3x²1 and y(s,t) = cos(ts) + 26. %3D du Make a dependency dia...

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