Find the annual percentage yield, to 3 decimal places, for an investment at a) 8.6% compounded continuously? b) 9.6% compounded monthly?

Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 4x²-3x + 484. Where…

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Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

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Q: Evaluate by complete u -substitution x+1 (x-1)² dx

A: Use u-subsituation method

Q: Find the plane determined by the intersecting lines. L1 x= -1+2t y=2+t z = 1 - 3t L2 x=1-4s y = 1+2s…

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Q: Complete the computations in Exercises 5-8. 5. (6,0, 5) + (5,0, 6) = 6. (0,0,0) + (0,0,0) = 7. (1,…

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Q: Find the general solution. If an initial condition is given, find also the corresponding particular…

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Q: Find the value of k such that the limit exists x² kx + 4 lim x-1 - x - 1 The k value is The limit is…

A: We have  function (x2-kx+4)/(x-1) We have to find value of k for limit existence when x tends to 1…

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. e³x √-3 da…

A: If the integral valu finite then the integral is convergence And integral valu not finite then…

Q: In three-space there are four possibilities for the intersection of two lines. True False

A: We have to find whether the given statement is true or false. In three-space there are four…

Q: Find a parametrization of the line in which the planes x+y+z=4 and y + z = 8 intersect. Find the…

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Q: The radian measure of the acute angle is 0 =

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Q: 11. Let y = 2x² - 5. Find the differential dy when x = 3 and dx = 0.01.

A: given y=2x2-5

Q: Use the graph of G shown to the right to find the limit. If necessary, state that the limit does not…

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Q: 6. Find equation of the tangent line and normal line to the curve at the given point. x² + 5xy + y²…

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Q: What type of polar curve is the polar equation r = 3 - 3 sin (0)? rose O lemniscate limacon cardiod

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Q: 2. fx. sin³3x dx

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Q: e = exp(1) is called the exponential function. Which of the following are true?

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Q: 5. Which of the following is NOT an identit 1 - cos²x = sin²x 2 tan²x = 1 + sec¹x COSX sinx = cott…

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Q: Find the area of the region bounded by: ² = 162 cos 20

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Q: 2. For the vectors a = (1, 2, 3), b = (2, 1, 3), and c = (1, 1, 0), show that the following is true:…

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Q: Graph the function and then find the specified limits. If necessary, state that the limit does not…

A: To graph the function and then to find the specified limits. fx=4x-4 To find limx→1 fx and limx→-1…

Q: f f(0) = - = sin(1-0) Sketch the graph of f(0) = -

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Q: (b) Determine the following integrals: 3 (i) S. 2 x x² - 1 dr

A: As per our guidelines we are supposed to answer only one question at a time. So only solution of…

Q: f(x) = x²e-x. Note: It is known that lim…→∞ x²e -X

A: f(x)=x2e-x

Q: Evaluate the integral. π/2 [" os⁹(x) sin5(x) dx

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)…

Q: First make a substitution and then use integration by parts to evaluate the integral [ 2 si Answer:…

A: The given integral is ∫2 sinxdx

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: (b) x = on the interval 0 ≤ x ≤ 9; about y-axis. ² X=

A: The surface area of rotatint the curve about y axis⇒S=2π∫cdgy1+gy2dy

Q: 2. Differentiate the following functions a. f(x) = 12²x - x² 2 b. f(x) = (e²x-3) + x c. f(x)=…

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Q: In a particular city, taxicabs charge passengers $2.20 for entering a cab and then $0.50 for each…

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Q: Q Use horizontal strips to find the area, that is, integrate with respect to y. = First find the y…

A: Given functions  y = 3.75x x = 8.5 - y2

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: An investment worth $1 million in 2005 has been growing at a rate of f(t) 0.14(1.18) million dollars…

A: An investment worth $1 million in 2005 has been growing at a rate of ft=0.141.18t millions dollars…

Q: The expression (3a¹b³c¹)² (2a²b³c³)³ equals na²b³c¹ where n, the leading coefficient, is: and r, the…

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Q: (7) Given the graph of f(x) below, state the value of the following limits if they exist y

A: as per bartleby guidelines we are supposed to answer first three subparts only please repost other…

Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: Given conditions: The given function is y=x⋅x+3 ​ What we need to find: (a) Intervals of increase or…

Q: Bill Casler bought a $6000, 9-month certificate of deposit (CD) that would earn 9.2% annual simple…

A: As per our guidelines we are supposed to answer only one question at a time. Solution of 1st subpart…

Q: What is the product of 5 and 1.0\sqrt(72) in simplest radical form? Please explain, correct answer…

A: 172 = 136*2           = 1(36)*2          =  162 now we rationalize it         = 162* 22         =…

Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

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Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: Find the maximum and minimum values of the function f(x, y) = xy subject to g(x, y) = x² + xy + y² =…

A: Objective function fx,y=xyConstraint function gx,y=x2+xy+y2-108

Q: Please solve this 100% Correctly and ASAP. Thx  Find the equation of the tangent to the function y =…

A: Tangent line formula passing through the point (a,b) and slope m is  y-b=m(x-a)

Q: 58) Given: f(x) = ax³ + bx² + cx+d, f(1) = 5, ƒ"(-1)=-2, f"(x)=12 When x=0 the slope of the tangent…

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Q: Find the angle between the vectors (3, 1, 1) and (2, 0, 1). Use a calculator if necessary. (Round…

A: We know that the angle between two vector formula cos(theta)=(u.v)/(|u|•|v|)

Q: If z = (x + y)e and x 2t and y = 1 — t², find the following derivative using the chain rule. Enter…

A: Function is  z=(x+y)ey, x=2t, y=1-t²

Q: olve the problem. Suppose that g is continuous and that g(x) dx. A) 6 B) 26 -26 g(x) dx-10 and Lås…

A: g(x) = is contionus function

Q: Find the derivative of the function. f(x) = 2e³x-1

A: We have,      f(x)  = 2e8x-1