How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded at 12% per year? (Give the answer to two decimal places.) yr

Q: 8) Use the functions f(x) = x² and g(x) = √2-x to find the specified function its domain: a.…

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Q: L4Q16. The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

A: The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

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Q: Question 3 Let D denotes the region in the xy-plane bounded by the parabola 2x y = 2x. (a) Sketch…

A: Please see the below picture for detailed solution.

Q: Suppose F(z) = g(f(z)) and f(2)= 3. f(2)=-3, g(3) = -1 and g (3)=-4. Find F(2).

A: Recall: Chain Rule  Let F(x)=g(f(x)) , then F'(x)=g'(f(x)) f'(x)

Q: bn nn ебп =

A: Please see the below picture for detailed solution.

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A: Let X be the distance of boat from dock (which changes with time ) And y be the length of rope  (…

Q: ∞0 2. Use the Alternating Series Test to determine whether the series (−1)”+¹ . converges 4 n-1…

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Q: 5. Find the specific solution of the differential equation Oy=ex² O y=-1- ²³/2 O y=-ex None of these…

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Q: Let y = (2x + 3 sin(x))4. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…

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Q: 8.) A triangle has a base of 12ft long and an altitude of 8ft high. Find the area of the largest…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent find the limit. If it…

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Q: Q5. Evaluate the triple integral cos(y²) dz dx dy.

A: The given triple integral is;  Cos(y2), z from 1 to 3, x from 0 to y, y from 0 to sqrt(pi/2).

Q: Show that the vectors , and are coplanar.

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Q: After his receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future…

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Q: If f(z) = 19z+ 24, find f'(-3).

A: Here, the given function is: f(x)=19x+24

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Q: Find both the vector equation and the parametric equations of the line through (0,0,0) that is…

A: Given that , Point =0,0,0 and parallel line r=3+2t , 7-6t , 5+4t find vector and parametric equation…

Q: For the cubic polynomial function f(x) = ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution of given question is written in below steps.

Q: Solve the initial value problem. dy do y=0 +y=10 cos 0,0>0, y(x) = 1 THEE

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Q: 3) Find the Taylor series for the function g(x) = x²e³x+¹ centered at a = 1.

A: To find the Taylor series for the function gx=x2e3x+1 centered at a=1.

Q: The slope of the tangent line to the curve y = 3 3 at the point (5,2) is: X -

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Q: 10 -8 1 I 1 1 1 1 -6 T 1 I T 1 1 1 I 1 1 i 1 i 1 1 1 i 1 1 1 N 1 1 i +14+kw 12 10 8- 6- 2 -2 -4- -6-…

A: Given

Q: 9 outside cardioid r = 1 + cos 0 inside circle r = 3 cos ( 10 lemniscate ² = 4 cos 20 outside r = =…

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Q: Let f(x)= = m= mx - 12 if x Next Question

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Q: Use the properties of infinite series to evaluate the following series. 3. 5" Σ n=0

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Q: (d) Find the volume of the solids generated by revolving the region in the first quadrant bounded by…

A: We need to find volume.

Q: 5) You drop a basketball from a height of 8 feet, and let it fall and bounce. Every bounce, the ball…

A: We have to find the distance travelled.

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

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Q: f(x) = 5* g(x) = log5 (²²= 4) Find (fog)(x) and obtain its domain. h(x): - 6 <- x 2x-5

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Q: Use the functions below to find the given value. f(x) = x - 2 8 g(x) = x³ (gof)(-2) =

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Q: Question 1 options:   A vector has initial point (-5, 8) and terminal point (0, 2). Write the…

A: let initial point A (-5,8)=(x1,y1) terminal point B(0,2)=(x2,y2)

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Q: Convert the point (x,y,z)=(-1,-4,0) to cylindrical coordinates. Give answers as positive values,…

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Q: (b) By using trigonometric substitution, evaluate the following integral √ √F² + 4x + 5d.

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Q: Use the substitution method to solve the system -x+y=-2 4x - 3y = 9 Your answer is x= y =

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Q: 8-x-1² if x 2 Calculate the following limits. Enter "DNE" if the limit does not exis f(x) Let f(x)…

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Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1). Find a vector equation,…

A: Solve the following

Q: (a) Find the area of the region bounded by the given curves a x = e.

A: Solved below.

Q: 7 circle r = cos 6 and circle r = sin 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: Test the series for convergence or divergence. 7 In 2 Select the correct answer. O the series is…

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Q: Find the derivative of y = (2x³-6)*(3x-2)2

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Q: Find the derivative of the function f(z) = √2 O None of these. 37 Of(z) = √2z f(2)=

A: We will find the derivative.

Q: 1. Use the Ratio Test to determine whether the following series converge. Make sure to explain why.…

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Q: 1.73 × 10-3/7.8 × 10 Express your answer to the correct number of significant figures. —| ΑΣΦ BERERT…

A: The solution is given below

Q: Question 5 A planning engineer for a new rice mill must present some estimates to his company…

A: Given that , Height of silo H=30 m and radius of silo R=60 m

Q: Given f(x)=2+3x²-x² i. Find the coordinates of all local extrema. ii. iii. Identify the extrema…

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Q: Find the radius of convergence of the series. 5 OR=7 OR = 1/ OR=1 OR=00 OR=0 7"x" 1 (n + 1)"

A: We need to find radius of convergence.

Q: Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 130 + 36x; x = 3 The…

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