A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a table in a room where the ambient temperature is 75°F. (Round your answers to the nearest whole number.)

Q: What is the area of the shaded region below? 16 -y = 2r² + 8 -y = x* NOT TO SCALE

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Q: 2) Find the tangent to the curve y 2 tan at x 1.

A: A detailed solution is given below.

Q: Solve the components of the given equation of conic sections and sketch the graph а. х — -y2 +1 b. x...

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Q: What is y = sin (xy)

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Q: x' - 36 lim 6 x+6 Vx+11-4 lim x-5 lim- 2 2-x x² +6x+9

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Q: Tes n=1

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Q: Show that for all positive integers n, 13 + 2° + ...+ n³ = (1+2+3+ ...+ n)?

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 5 (x- 5)4 12...

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Q: Let (x) = x In x and P4(x) be the fourth-degree Taylor polynomial for f about x = 1. Using the defin...

A: Find the fourth degree Taylor polynomial for f about  x=1 then find maximum error in approximating f...

Q: The graph shown is f (x) = sin x. If g (x) = / f (t)dt, find g' (7). %3D AY 6.28 -3.14 3.14 6/28 -2 ...

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Q: Find the area of the region enclosed by the graphs of: y? = x+5 and y2 = 3 - x. 32 A) 3 16 B) 3. 64 ...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x) =

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 sine -3/5 4/5 3/5 -4/5

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Q: Determine the Taylor series expansion about a = 1 of the function defined by f (x) = log3(2 – 1).

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We need to find the Taylor Series of e5x with center c=0.

Q: Find all the second-order partial derivatives of the following function. h(x,y) = x ey + 5y + 9 dx a...

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Q: fIntegrate the functon. fexng) the functrom. fixng). aver.the... 2. 1 -xーye 2. reginm.(.disk.). Does...

A: The solution is given in the next steps.

Q: 3x What is f'(x) given the integral function f(x) = (4u – 2) du? O f'(x) = 4x-2 %3D O f'(x) = 12x -2...

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Q: 22ニ」 dx ズ+ぞ

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Q: x - 36 lim X6 x+6 (a) Vx +11-4 (b) lim- x-5 (c) lim- X-2 2-x (d) x' +6x +9 lim x+3

A: a) limx→ -6 x2-36x+6 =limx→ -6 (x-6)(x+6)x+6                     ( using factorisation              ...

Q: dx (a) : x2 + 4 .2

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: (-1)"n! 3. (a) Test the series for absolute convergence. n" n=1 2 4 2n-1 (b) Prove that the series 1...

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Q: Show whether the following series converges 1 1 1 +. 82 1 22 52 (Зп — 1)° using the comparison test.

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Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D 5...

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Q: 4x2 + 4y? + 122 = 9 and the point P = (1, 1, 1) on this surface. A. Starting with the equation x =1+...

A: We have to find the normal line through P and tangent plane through P.

Q: 2. a) Iff(6) = 3,f'(6) = 6, g(6) = 1, and g'(6) = 4, determine () (6).

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Q: Calculate y°dz – yz²dy – sen(2)dz, where C'is the path connecting the point A(-2, 2, 4) to the point...

A: We will calculate the integral ∫Cy2dx-yz2dy-sinzdzwhere path starts from point A-2,2,4 to the point ...

Q: Use the following results, if needed, to determine whether each series converges or diverges. If the...

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Q: Evaluate the integral. NOTE: Enter the exact answer. cos (2.r) dx = + C

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: Distance between the points P(x1,y1) and Q(x2,y2) , D = (x2-x1)2+(y2-y1)2 .

Q: 6 (а). Let f be a differentiable function with f(0) = 1, f'(0) = 2. f (x)+f(2x)+ f(3x)- 3 Find lim

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Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x) ...

A: We know, ∫xndx= x(n+1)/(n+1)

Q: Which of the following series converge? I. E 2 II. E III. E1 A) I only. B B) None of them. C) Il onl...

A: We have to find which of the following series are convergent. 1. ∑n=1∞13+1n2. ∑n=2∞1ln n53. ∑n=1∞nn2...

Q: im(xx)!(0;0) f(x; y) = 1.|

A: this statement is false , and mathmatical reasoning and example is in next step

Q: 一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co,...

A: All parts are true. 

Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 sine = %3D

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Q: he plane y=2 inersets the elliplic pd araboloi 3=4X +y parmbola. in a Find the slope of the tangent ...

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Q: Jimmy paid off a mortgage by paying $725 per month for 16 years. What was the original amount of the...

A: Given

Q: Find the radius of convergence and the interval of convergence. Σ k(k+ 1) k=1 1) First apply the Rat...

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Q: dx (x² + 9)² 5.

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Q: hat are the new limits of integration after applying the substitution u = 6x + x to the integral / s...

A: Given query is to find the limit after applying the substitution.

Q: Find the average rate of change of g(x) = 2x° – 4 from x = - 1 to x = 3 -

A: This question is based on average rate of change of function.

Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P ,Q(5, 6) and...

A: The solution is given in the next step.

Q: Suppose f(x) = "6r V1+f dt.

A: Topic = Integration

Q: Given the following series n52n II. Ln-1 10n+1 4n (-1)" III n-1 nInn (-3n IV. En-1 A) I and II diver...

A: Given

Q: Consider the function f :R →R given by f (x, y) = e* In(1+ y) Find Vf. What is the rate of change of...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: On a particular lake, the difference between high and low tide is 6 hours. At low tide, 6 a.m., a st...

A: Answer is in step 2.

Q: Find the nth Taylor polynomial for the function, centered at c. 1. f(x) n = 4, c = 3

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Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(6,-5) cos = (5√61...

A: We have to calculate r then we can find trigonometric value.