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Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: T Find the equation of the tangent to the curve = cos³x - sin²x at the point where x =

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Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: R'(x)= 0.03x2-0.08x+189

Q: sin x lim X→0 xX tan x m. n. lim x→0 X

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

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Q: The latitude of a point P on the surface of the Earth is specified by means of the angle in the…

A: OP = OE = 3960 mi.*to find : arc length, PE = ?

Q: Find the integral of the following function by parts So 0 sec²0 de Ja where a = 6.08, b = 7.05 in…

A: The given integral is

Q: you alos calculate the following

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Q: The curve r(t)= (f(t),g(t)), where f and g are twice differentiable, has f'g'"-f"'g' curvature…

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Q: In Problems 1-8, find the eigenvalues and eigenvectors of given matrix. 1. 3. [2 7. 2 2 100 5. 002 0…

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Q: What are the coordinates of the vertex of the equation (+8)² (x+2)² 36 = 1? 25 O (-2,-2), (-2, 14) O…

A: The given equation is

Q: The equation z = 5r cos (0) is given in cylindrical coordinates. Convert the equation to Cartesian…

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Q: The formula for the braking distance of a car is: 0.03361 v² μl d= where: . d is the braking…

A: given that,and find the d value for the given velocities?

Q: Suppose that we're making and selling some widget and the cost (in dollars) when making a widgets is…

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Q: 19. What is the maximum volume of cylindrical tin can that can be made from 750.0 cm² of metal?

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Q: Find the surface area generated by rotating the given curve about the y-axis. = 6t², y = 4t³, 0≤t≤1…

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Q: the following operations and simplify the results. State the domain restriction in +5x-14 2+8x+7 ÷…

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Q: Evaluate the integral: √16x² 8x² O x = 16 tan(0) Ox = 4 sin(0) Ox= 16 sec (0) Ox= 16 sin(0) 0x = 4…

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Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

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Q: dy Find and dx d²y dx² x = e¹, y = te-t dy dx d²y dx² For which values of t is the curve concave…

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Q: b) 9-x² x²+4x+4

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Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: To find the demand function for the following marginal revenue function.Recall that if no items are…

Q: 17. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed…

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Q: Find an equation of the line tangent to the following curve at the given point. 2 5x 3' 6 y = T= 1…

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Q: Match the series with the right expression. (Use the Maclaurin series.) (−1)n3−(2n+1) 2n + 1 1. 0 2.…

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Q: 2. Show that the series converges by the Alternating Series Test (two conditions). Then find how…

A: The given series is

Q: The function f(x) = x 4 has a Taylor series at a = 1. Find the first 4 nonzero terms in the series,…

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Q: Find the limit of f(x) = lim f(x) = -5 9√x+x 3x-9 X→∞ (Simplify your answer.) as x approaches co.

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Q: Find the derivative of y with respect to x for y = 2*

A: Given that the expression

Q: Use the formula f'(x) = lim Z-X f(x)=x²-x+4 f'(x) = f(z)-f(x) Z-X to find the derivative of the…

A: we need to find f'(x)

Q: Assume that y is the solution of the initial-value problem 5 sin x If y is written as a power series…

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Q: logarithms. Express powers as factors. 1. A 50-mg sample of a radioactive substance decays to 34 mg…

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Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

A: In 2012 there was a total of 78 commerecial and noncommerecial orbital launches worldwide. In…

Q: (d) lim Bl x-l lnx (e) lim x-x)

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Q: nn n=0 4"n! η!

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Q: Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a…

A: We have to find the dimensions of the building that will result in a minimal annual heating and…

Q: Express the limit as a definite integral on the given interval. lim n→∞ i = 1 exi 3 + X; Ax dx [0,…

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Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: Given that the polar curve

Q: The Taylor series for f(x) = x³ at-4 is cn(x + 4)". Find the first few coefficients. Co= C1 = C2 -…

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Q: Which of the following series are convergent? I. 1+1/2² + 1/3² + ... 1/n² + ... II. 1 + 1/2 + 1/3 +…

A: The given series are; 1) 1 + 1/22 +1/32 +...+ 1/n2+...2) 1 + 1/2 + 1/3 +...+ 1/n+...3) 1 - 1/3 +…

Q: 18. Find the value(s) of c that satisfy the equation f(b)-f(a) = f'(c) in the conclusion of the Mean…

A: GMean Value Theorem

Q: Find the slope of the curve at the given point. 5y5+3x3 = 2y + 6x at (1,1)

A: We have given an implicit function5y5+3x3=2y+6x

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y =…

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Q: Find the tangent to y =√x-x+10 at x = 10.

A: y=x2−x+10 at x=10dydx=ddxx2−x+10Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power Ruleddxxn=nxn−1

Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: 4. Solve Cauchy problem: y" - 5y' + 4y = 0, y(0) = 1, y'(0) = 2

A: To solve the following Cauchy problem.

Q: f(x) = -2(sin(3x + pi/2)) + 1 for x is an element of [0, 4pi/3] State the phase shift, period,…

A: The given function is  , The standard equation of Amplitude Phase shiftVertical shiftTime period

Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

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Q: Let T be the tetrahedron with vertices (4, 0, 0), (0,5, 0), (0, 0, 2) and the origin. Write [ ] [,…

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Q: Given the function f(x) = 5x² − 3x + 9 and the point P(-4, 101), which lies on the graph of f(x),…

A: The objective of this question is to find the equation of the tangent line to the function f(x) =…