nt Use the model A =Pe" or A= P| where A is the future value of P dollars invested at inter %3D continuously or n times per year for t years. $6000 grows to $8738.68 in 8 years under continuous compounding. Find the interest rate. Round to percent.

Q: Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) = | t*dt…

A: By using Part I of the Fundamental Theorem of Calculus:f'(x)=x4

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A: Using poler coordinate

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A: To solve the following problem

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Q: 5) Determine the point of intersection between two lines L1:( (x-1)/1 ) = (y/-5) = ((z-5)/3) L2:…

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Q: 4. y = Vx, x = 0 , y = 2 , revolved at y axis %3D

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Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

A: Find your answer below

Q: Test the series for convergence or divergence. (-1)"-1 T"

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Q: If f(x) (t° + 6t +3) dt then f'"(x)

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Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

Q: Solve the following differential equation:   y′′+9y=0; y=3,y′=3 at x=π/3

A: Given y''+9y=0; y=0, y'=3 at x=π3 To find the Solution:

Q: 3. Determine whether the following series are odd or even functions. i. f(x) = x² ii. f(x) = x³ iii.…

A: We have to determine whether the given functions are even or odd.

Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

A:

Q: Identify the equation as a parabola, circle, ellipse, or hyperbola. (x - 7)2 = 9 – y2 O A. Hyperbola…

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Q: Question 1 Given: xy = tan(a - y). Find dx/dy. %3D tan (z-y) sec (r-y)- " +tan? (-y) sec" (7-y) O dr…

A:

Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: | #(In(x))" 1 dx converges and Let p be a positive number. Determine the values of p for which the…

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Let's find.

Q: 2. Let {an}, be a sequence of real numbers. Let a2k and a2k+1 be the even and odd terms of this…

A: To prove that if complementary subsequences converge to same limit then sequences also converges to…

Q: There are two different styles of shirts UB is planning on selling at the bookstore. UB will pay $12…

A: Let  Number of cheaper shirt = x  Number of other shirt = y  cheaper shirt yields a profit of $8 and…

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Q: Cos3 cos³x S dx 1+ sinx

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Q: 1. Given: r(r+8)(r – 2) (r+2)³ 8(7r-4) (x+2)4 f(r)= with f'(x) = and f"(x) = %3D %3D (r+2)² ' a.…

A: Given that the function is fx=x3-4x2x+22 its first derivative and second derivative is…

Q: 5 - 4x² dx 4. 3 + 2X

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Q: Use the Integral Test to determinOwheher the scrie sure to show that the hypothescs of the Intogr al…

A: Given

Q: dx Evaluate: + 4 V9x2 + 4 + 2 - In 4 f (x) = +C 3.x 9x² + 4 + 2 + C B f (x) = -2 ln V 3x 1 V9x2 + 4…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: (a) Use integration to evaluate, cor- rect to 3 decimal places, dr (b) Use the trapezoidal rule with…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: > (-1)" x3n+2 find the exact value of 5-1)"(3n + 2) By differentiating the power series 8n n=0 n=0

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Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: 3. tane de ) 71+ n cose)/3

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Q: sin4x dx V cos4x + 1 COS4X

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Q: evaluate the following integrals

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Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: The hyperbola, 36x - 49, = 1764, has vertices at. (Simplify your answer. Type an exact answer, using…

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Q: Either prove the following statement is true or provide an example to illustrate it is not true: if…

A: This question can be solved using the concept of even function.

Q: Question For the functionf(x) given below, evaluate lim f(xr) and lim f(x). X00 X--00 V3x + 1 -3x -…

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Q: 20. a = }, b= 2,b 2

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Write a triple iterated integral in dzdydx and dzdrd(theta) for the solid shown

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Q: xp- to within 10-4 of its actual value. Please show all Approximate 2+ x steps.

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Q: Find the simplified form of the derivative of y = 1+csc 3x %3D cot 3x O y = 3 csc 3x csc(3r)-1 O (E)…

A: We have to find the simplified form of the derivative of  y = 1+csc 3xcot 3x.

Q: Question Evaluate the following limit using L'Hospital's rule. lim X09e - 9 18x] Provide an exact…

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