The evaluation of S S 3y³e*ydxdy is e - 1 O

Q: 9 Derivative of fi») 1x 4 . 5. 1 f) 1x1cosx, fird f'n)

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Q: A 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system is then…

A: Given that a 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system…

Q: Question Supposef is continuous on [1, 8] and differentiable on (1,8). If 12 <f'(x) < 13 for all…

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Q: 5) Evaluate ehe integral (use c fos Ane constant of integration. tan'cx)cos x) dx

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Q: Question Suppose f is continuous on [3, 10] and differentiable on (3, 10). If 5 <f'(x) < 8 for all…

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Q: Rewrite the series to show that it is an alternating series of the form E1(-1)"b„. Then, use the…

A: The given series,          ∑n=1∞n cosnπ2n

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: Šolve the optimization problem. Maximize P xyz with x + z = 9 and y + z = 9, and x, y, and z > 0.…

A: Note thate there are three variables and our goal is to express two of those as a function of…

Q: Question A farmer is constructing three equally-sized pens against the side of a barn for his…

A: We need to find max area.

Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: 6. For the series E-13 * )", a. Find the first two partial sums si and s2 b. Does the series…

A: 6) ∑n=1∞314n  a.  partial sum S1=3(14)=34=0.75      partial sum S2=3(14)+3(14)2…

Q: Find f. (a) fi" (æ) = sin æ, f(T)= 2, f'(7) = 3. %3D %3D (b) f' (t) = 2 + , f(1) = 1.

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Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

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Q: 3 sin-xe 5%

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Q: Find the area of the shaded region shown in the graph. y- 13 sin e13 cosx The area of the shaded…

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Q: y csc's x cot 5x 2.

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Q: Sketch a possible graply for a function g (x) that' has ALL the stated conditiôns.- Label your…

A: Here, to plot the graph with the given conditions. Here, the point on the graph is (2,4), Next, the…

Q: Q1- A coin throw three times find: 1. Sample space 2. Probability at least head appear twice 3.Never…

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Q: (a³-8)° (Va2+4) g(a) = (Using logarithmic differentiation) 3

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Q: Given the following velocity function of an object moving along a line, find the position function…

A: We know that if s(t) denote the position of any particle at a particular time then v(t) denotes it's…

Q: Find the critical point and determine if the function is increasing or decreasing on the given…

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Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1 + x*) - 1.. Use 5 iterations of…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=21-22, x-axis, y-axis and y=20 revolved about y-axis.

Q: j. r (0)=tanh (cas o)+ cos h (e)

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Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: Answer the following questions; 1. A student writes that if the right and left limits of a function…

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Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: f(x) = √x2−2​ ; x = 2 what is its derivative?

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Q: Problem 3. Sketch the region enclosed by the curves y = 6x, y=4x², and find the area of that region.…

A: We can solve as follows

Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: A farmer wants to enclose a rectangular field with area 1,000 square meters by fencing it into four…

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Q: 23-42 Find f. 23. f"(x) 20xr'-12x + 6x 24. f"(x) x - 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27.…

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Q: 5 ,2 X |x² + x – 6| dx -5

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Q: 16 Find Ehe eract length of Ene eurve, /2 x= e- 4E, y= Re O<6< 2

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Q: Consider the diagram shown below. Suppose that O = (0, 0) and A = (3.5, 0) and B = (2.91, 1.95). The…

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Q: A forest fire covers 1600 acres at timet = 0. The fire is growing at a rate of 2/t acres per hour,…

A: How many acres are covered 20 hours later ?

Q: a)True b)False 2/ Answer the following: (A) Find the solution of this equation y=+y-6y = 0. roncform…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: We can answer both the question as below.

Q: Let f be a function defined by f(x) = In(2x? + 1) and let g be a function defined by g(x) = 2x4 -…

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Q: 1. Find an equation for the tangent line to the curve x= sin nt, y= t? - 3t at the point with t= 2…

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Q: 2. Determine the derivative of g(t) = 8°[(2t + 1)² + t].

A: Given that     g(t) = 8t[(2t+1)2+t]

Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 25 lb/ft. What is the…

A: Given that, the mass weighing =16 pounds Now, changing the unit of the mass: m=1632=0.5 slug

Q: Three vectors are given by: J = 2î – k K = 2î – ĵ+ 2k L= 2î – 3} Determine: (i) K•L x J; and (ii)…

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Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: 2. Find a power series solution of the differential equation y' = 4y

A: Use the power series for the solution.

Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

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Q: Use Newton's method to approximate the solution to the equation 4 = x+ 2. Use xo = -1 as your…

A: This question can be solved using the concept of methods of approximation of roots.

Q: (a) Express du / ax, du/ ay, and du / az as functions of x, y, and z both by using the chain rule…

A: Solving

Q: Let g (x) = V . Find the smallest number 8 such that if |x - 9 < ô then g(x) – 3| <0.1 . Round your…

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