The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is January.  Write a trig model that represents the data.   Month Temperature 1 53 2 57 3 65 4 73 5 80 6 86 7 88 8 87 9 82 10 72 11 63 12 55     Explain the steps you took to arrive at your solution.

Q: Find the partial derivatives gæ, gy and 9% for the function g(x, y, z) = xy + x² z − yz³

A: Given :- The function gx,y,z=xy+x2z-yz3 To find :- The Partial derivatives

Q: Problem #3: Consider the following matrix. A = d a b C f (a) Suppose that det(A) = −6. Let B be…

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Use a graphing tool to represent the function and approximate the limit. Write an approximation to…

A: Given :- limx→0(e2x-1)x To find :- Use a graphing tool to represent the function and approximate the…

Q: What is the area between the curves y = -²³ and O 10 -24

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: 1. The function is given piecewise: ƒ(x) = cos(x) 0 X if x 0

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Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: The bus stop is across a grassy park. It is 1500 feet west and 500 feet north of her starting…

Q: 5. Consider the function: f(x)=x²ex a) Determine the first AND second derivative. 1 b) Determine the…

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

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Q: , 103√x - √x X dx

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Find the constants a and b such that the function is continuous on the entire real line.…

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Q: Solve the following first order DE: dy x+3x² dx y² a) 2 b) y'+=y= X ‚ then find that solution for…

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Q: Find all solutions y' = (xy)^(1/3) y'= 1+x-y-xy.

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Q: dx 4+ (x-3)² 1. S.

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Q: Let Σan (x+3)" n=0 denote the Taylor Series of 21 at the point x = −3. 2-x Then a5 =

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Q: Problem 13 Find the solution of the initial value problem x' = Ar, with A- (₁₂2) and 2(0) = (-¹₁).

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Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

A: We know that the speed formula ds/dt

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: dy dx + 2y = x³e-2x

A: The given differential equation is: dydx+2y=x3e-2x

Q: 24) Madaurin 4th order of f(x) = sinh(sinx)

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Q: 22. √₁² (x² – (2 (x² - 4x + 2) dx

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Q: Use integration by parts twice to evaluate fet cos(3t)dt: Step 1: Let u = et and du + S fet…

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Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: Find two unit vectors orthogonal to both (2, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

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Q: Consider the region bounded by the graphs of y = (a) Find the volume of the solid generated V = (b)…

A: According to question,Given Function,y = 2xx2+1

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

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Q: Use a table to find the Taylor polynomial P3 (x) for f(x) = √I-T around c = 2.

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Q: 4 (3x² – √x) dx

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Q: In Problems 1-5, let R be the region bounded by y=x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: 15. lim x-0 17. lim t->0 19. lim x-0 √1 + 2x 5¹ - 3¹ t et 1 2 x² X X √1 4x

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Q: S dx x√16x²-5

A: Let I is the value of given integration.Therefore I=∫1x16x2-5dx

Q: Solve the formula for a a 3a + ag 9 = f Submit Question

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Q: Problem 11 Express the function f defined below using step functions and find its Laplace trans-…

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Q: Use the Limit Comparison Test for 4n² + 2 n(n-1)(n-19) Σ' an bn n=25 to prove convergence or…

A: The given series: ∑n=25∞an=∑n=25∞4n2+2nn-1n-19We need to prove the convergence or divergence using…

Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

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Q: Find the average value of f(x) = sint over the interval [0, π]. O 0 01/ O O2

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Q: What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by…

A: a=<1,-3>, b=<-1,2> Find 4b-5a

Q: Let f (x, y) = e(5x-6y). Find the equation for the tangent plane to the graph of f at the point (1,…

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Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…

A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…

Q: 9. A = (2, a 3) and B = (-1,-2) are - perpendicular each other, a=?

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Q: Question 10 Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: The given values are: m=6        and        n=1v=-4, 7

Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: Suppose that fx cos(x²)dx = G(x) + C = F(x). Determine the constant of integration C if F(0) = 2. 0…

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Q: Match each of the following vectors with its magnitude. t = (-7, 1) u = -2i-8j a vector with an…

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Q: Evaluate the surface integral. Jy y ds = ²/3 (x³/² + y³/2), 0 ≤ x ≤ 5,0 ≤ y ≤ 3 S is the surface Z =

A: ∬sfx,yds=∬Dfx,y1+∂z∂x2+∂z∂y2dA Note:- Since you asked multiple question , according to our policy we…

Q: (x² + x)ex³+³x dx

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