If you invest $6300 per year in a stock that grows at rate of 9% per year, how much will your stock be worth after 13 years?

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y2

A: Given: I=∫03∫0∞ x21+y2dydx As we know that; ∫11+x2dx=tan-1x+C And ∫a·fxdx=a·∫fxdx, where a is…

Q: Evaluate the triple iterated integral. xyz³ dx dy dz

A: ∫02∫02∫-14xyz3dxdydz=∫02∫02x2yz32x=-1x=4dydz…

Q: Evaluate the following limit: x + 2 lim x→-3¯ x² -+ 2x – 3 O +∞ 10

A: The given limit,        limx→3-x+2x2+2x-3

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Q: "I INAICATE If THtE fOLLUWINh SRRZES ConveilCE OR DeveRしe。エ0ENTICY Tésrs Uszo. TESTS HT in (4nt -n)…

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Q: | (2x - y) dx + (x + 3y) dy. Evaluate C: arc on y = x5/2 from (0, 0) to (4, 32)

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Q: 16. What is the derivative of f(x) = eBx+3? a. f'(x) = e® b. f'(x) = 3e®x c. f'(x) = 8e d. f'(x) =…

A: 16. fx=e8x+317. y=34x18. fx=x3-3x2-3

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Q: If the function f(x) is continuous in the interval [2,8] and f(2)=-7 and f(8) = 9, %3D then which of…

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Q: ...... ... ... ...- Evaluate the iterated integral. 5. y cos(x) dy dx

A:

Q: 2) Find and of the following equation then simplify whenever possible. dx x = 1+ Sin t y = Cos? t

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Q: Verify Green's Theorem by evaluating both integrals aN o v² dx + x² dy = / / dA ду ax for the given…

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Q: 10 sin () sin(a da

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Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

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

Q: 1. Find the volume of the parallelepiped PQRS if the vectors V(PQ), v (PR), and V(PS) are…

A: Given PQ=3i+2j-k PR=i-2j+3k PS=i-j+k. Volume of parallelepiped =[PQ PR PS]…

Q: V(PQ),V (PR), and V(PS) are 1. Find the volume of the parallelepiped PQRS if the vectors…

A: Solution of 1st question.

Q: Find the arc length L of the graph of r(t). r(t) = 5 cos(t)i + 5 sin(t)j + tk, 0<t< 2n L =

A:

Q: (e) for tue ginen point in poler coordiinetes , fird tue comespandy ctenquler Coorelinetes fer tue…

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Q: complex form and COS U+ i sin o) be the polar form Idition and subtraction between two complex…

A: Topic:- complex number algebra

Q: 0.09 ) 12t At the end of t years, the future value of an investment of $37,500 in an account that…

A:

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: Evaluate lim, (-5x + 5 – 5 - ) 12 O + O 5 O-5

A:

Q: Use the following series in determining the IOC and ROC. The summation of [(7^n)/(n+5)](x-4)^(n+2)…

A: Given  problem:- Use the following series in determining the IOC and ROC. The summation of…

Q: The graph of f'. 2+ 1- (2,0) -3 4 -3 ±1+ -2+ (-2,-3) (2,-3) 5. The graph of f', the derivative of f…

A: We have to find the value of f(5).

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A: Given

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Q: sin? (x) cos (x) dx

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Q: e. Suppose someone claims that C'(5000) = -0.1. What would the practical mean- ing of this…

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Q: 5 4 3 1 -1 T/2 3T/2 -2 -3 - -4 -5 The graph of the function f(x) = csc x is given above for the…

A: The graph of the function fx=csc x is given for the interval x∈0, 2π. We have to find one-sided…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. r13 ti + tj d

A:

Q: 19) Find fre are length of the curve an tue göven imprvel. onsweys a) (2308)-8 1728 り420) 864 c)…

A: Use arc length formula

Q: Verify Green's Theorem by evaluating both integrals Lr dx + x* dy = / dA ду x² dy ax for the given…

A: In this question we verify Green's Theorem                 i.e, verify integral  ∫C y2 dx +x2 dy =…

Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

A: Given problem :- A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

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A: We need to find rate of water leaking.

Q: Evaluate x2 lim За - 10 - x→-2 x + 2

A:

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: Which type of discontinuity does the function exhibit at x = 3? %3D (-x2 + 1, -1 sx<0 2х, f(x) =…

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Q: Determine whether the improper integral diverges or converges. In x dx O converges O diverges…

A: Use integral test for checking the convergence of series

Q: xe 1. lim, »o X→0 1-e*

A:

Q: Determine the value of the Wronskian W (y1, Y2) of y" – 2y +1 = e2 (x +1) if x=1.3 by using…

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Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 5. Enter the exact answer. L =

A: Given problem:-

Q: Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America…

A: We have to find the slope.

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find «(t). 13 9t: r(t) = e"i+ etj

A: r(t)=e9t i +e-t jr'(t)=9e9t i -e-t j||r'(t)||=81 e18t+e-2tr''(t)=81e9t i +e-t…

Q: 1+ cx, if x 2 Given the function: f(x) = C - x, What should be the value of c so thatf is…

A: