Find the exact length of the curve. y 1/4x² - 11/12 In(x), = -X 1 ≤ x ≤ 4

Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

A: Given: The temperature of the room (T)= 70°F The initial temperature of the thermometer (To) = 18°F…

Q: Use the quotient rule to find the derivative of - 10 sin(x) - 4 7x⁹ + 10 You do not need to expand…

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Q: Use sigma notation to write the Maclaurin series for the function COS IIX.

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Q: Sketch the graph of a function f such that f is always decreasing and f(x)>0 for all real numbers x.…

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Q: 5 5 Find the derivative of the function s = cos (9t) + 9 -sin (3t). 3x

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Q: Set up but nit evaluate an integral for the area of the surface obtaining by rotating the curve y=…

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Q: An open rectangular box (no top) is formed with a square base and rectangular sides so that the…

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Q: dy For the equation, use implicit differentiation to find dx y5 - x² = 6

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Q: If f(x) = f'(x) = f'(1) = 5 sin x 3+ cos x then

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Q: Let f(x)= 2 sqrt(-x) +4 Find domain of f

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Q: 1 T 3

A: Given query is to perform division.

Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 72 and P =…

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Q: (2, 4) & (3, 5) xy xy -1 −1 Slope in context 4 − 5 2-3 || 1

A: To find the slope with given points.

Q: (a) In(a + b) In(a)In(b) for all a,b > 0 OTrue False (b) In(a-b) In(a) + In(b) for all a,b>0 OTrue…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: . Use the rule of differentiation of the scalar product, to evaluate (u v) for the following vector…

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Q: Find the derivative of the function y = -7-5x. dx =

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Q: 3. Evaluate the following integral sin x cos x - sin x + cos x O a. -In|sinx + cosx| + C O b.…

A: To evaluate the given integral.

Q: Use Fubini's Theorem to evaluate the double integral ff f(x,y) dA, where f(x, y) = −3x²-x²y - 3y²…

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Q: Use a double integral to find the area of one loop of the 2 cos(30). rose r =

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Q: Find the area of the region bounded by the curves y = x² - 6x + 6 and y = -x² + 4x - 2.

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Q: Let f(x) = Then f'(x) = m = 4 sin x 2 sin x + 6 cos x ㅠ The equation of the tangent line to y = f(x)…

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Q: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

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Q: 20. Let g(x) = x³. a) Find the linearization L(x) of g at a = 4. b) Use the linearization to…

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Q: For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at…

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Q: 1. Suppose f is differentiable everywhere, f(0) = −1/2, and f' is graphed below. 1 X پر 2+ (a) Find…

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Q: 1. Consider the iterated integral (a) Sketch the domain of integration. (b) Change the order of…

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Q: Find the centroid of the region lying underneath the graph of the function f(x) = e over the…

A: The given function is: f(x)=e-x      over the interval  0, 4

Q: Order One DE Solve the ff. DE Eqn. 4x 1. xy² - 2y = x cos 3

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Which exponential function of the form y = a(b) contains the points (4,80) and (5, 160)? Provide…

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Q: Evaluate the triple iterated integral. 2 FIR 10 -1 xyz5 dx dy dz

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Q: A dog food producer reduced the price of a dog food. With the price at $10 the average monthly sales…

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Q: Find the equation of this quartic that goes through the point (0, - 2). ا 3 2 1+ 0 -1 2 -5 -x

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Q: Solve the corresponding differential equation given the general solution via elimination of…

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Q: e2x-3ex-4=0

A: Topic = Algebra

Q: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: M Wed Oct 26 ... 03Q09 Please show all work on this page. 1. Graph the solution of the following…

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p=…

A: Note:- these are multiple sub parts according to rule we can do max 3 sub parts so i am solving here…

Q: Consider f(u) = 3u(In(9u)) Determine the intervals on which f is concave down. Of is concave down…

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Q: This is incorrcet. The graph is correct but p(x) and the minimum is incorrect

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Q: Using the mathematical expression of the definition of the derivative, as you learned find the…

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Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) 5x² +…

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Q: log7 (x + 2) + log7 (x - 4) = 1

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Q: The parametric equations of lines L₁ and L₂ are as follows: L₁ x= 1+ 4t y=2+7t z = ½-5t and L₂: x= 7…

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Q: y 5 sin(x) cos(x) + 4 csc(x)

A: Given query is to find the derivative of the function.

Q: #Solve the following IVP x= x+y y = -6x+6y y(0)=18 Then find x(0.25) to at least the nearest…

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Q: PS #1 9. A ladder 10 ft long rests against a vertical wall. Let 0: angle between the top of the…

A: A ladder 10 ft long rests against a vertical wall.Let θ: angle between the top of the ladder and the…

Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

A: solution:-r(x)=x-1x+3x+1x-7x-interceptr(x)=0x-1x+3x+1x-7=0x-1x+3=0,   x+1≠0, x-7≠0x=-3, 1x-intercept…

Q: equation (e^x sin y + tan y)dx + [e^x cos y + x sec^2 (y)]dy = 0 when y(2) = π/6 ? Round off your…

A: Given differential equation is (ex siny +tany ) dx+(ex cosy +xsec2y) dy=0   ; y(2)=π/6

Q: 3 B. C. provide D. The Line A. -42-5 A. (-10,-10) B. (-5,0) C. (0, -5) D. (-5.-5) x²- Find the 202-6…

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