Assume that x and y are both differentiable functions of t and are related by the equation y = cos (3x). dy Find when x dt = dy Number dt 픔 Enter the exact answer. given dx dt = -6 when x = 픔.

Q: f(x) x³. x-1 1 for x = 1 for x = 1

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Q: Find the formula for f. f(x) = 8 Hint: Transform an exponential function with an integer base.

A: From figure we can say that is horizontal asymptote.The graph cross y-axis at .So, the point  lies…

Q: In Problems 6-10, let R be the region bounded by y = x² + 1 and y = x + 1.Each problem will describe…

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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 a solution to A(t) = dA dt = 10A if A(0) = 9. help (formulas)

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Q: what type of a calculus calculation is this?

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Q: Which of the following ideas represent the different ways a line and a plane can intersect. Select…

A: There are three possibilities for the intersection of a plane and a line.They do not intersectThey…

Q: 23. x = y, y = 0, x = 1

A: 23. Given that,     x =y, y=0,  and x =1.Red line: y=xBlue line: y=0Green line: x=1.

Q: Evaluate the integral : -(2x+6) (x−1)(x+1)² dx S ← +C

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Q: If the distance of an object is given by d(t) cannot be determined. O constant. O increasing.…

A: Given, the distance of the object: d(t)=3t3-6t

Q: S 2 x + 9x - 1 -dx 2 (x-4)(x + 1)

A: We have,

Q: Part b must have some form of an answer right? It doesn't give me the option of DNE or anything, so…

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Q: Let f (x) = ln (1 + x + x² + x³) and ∞ n=0 Cnxn be the Taylor series of f at x = 0. Then the value…

A: Taylor series:- Taylor series or Taylor expansion of a function is an infinite sum of terms that are…

Q: Q3// The curves y = ax² + bx+c and y = cx-x² have a common tangent line at the pint (1.0), Find a,…

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Q: In Exercises 23-28, sketch the enclosed region and use the Shell Method to calculate the volume of…

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Q: Question 14 What are the domain, range, and period of the function Explain how you determined your…

A: To find the domain, range, and period of the function .

Q: lim √3x²+6 5- 2x

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Q: Here again, is the triangle from Question 1. 4√3 X 30⁰ Enter the value of y here. If necessary,…

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Q: For each of the following functions, find the maximum and minimum values of the function on the…

A: Solving the problem

Q: Find the displacement of an object on the interval 3 ≤ t ≤ 9 if its velocity is shown below.

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Q: A package to be mailed using a certain postal service may not measure more than 114 inches in length…

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Q: After t hours of work, a bank clerk can process checks at a rate of r(t) t² +90t + 5 checks per…

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Q: (a) ² 2x − 3x + 1 dx - (b) / 1 x² + √x X (c) √ ₁ 13/2 (2t - Vt) dt. S (8) [² (22) dx (2z − 1)(z + 3)…

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Q: het fncx) = 1 + 1JCa 10 Evaluate [faces doc @ Find facad face) and face) Ⓒ find lion faces and f'cor…

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Q: Upload a picture of your full solution in one file and attach it to this question. Determine the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Write the pair of parametric equations in rectangular form. State any restrictions on t² the domain.…

A: To write the pair of parametric equations in rectangular form. To state any restrictions on the…

Q: Write the pair of parametric equations in rectangular form. x = 7 sin 0, y = 2 cos 0

A: given

Q: LET f(x)=x²-2x-2. FIND f'(x) USING THE LIMIT DEFINITION OF THE DERIVATIVE-

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Q: (a) lim -√²+7. FIX (b) lim *-√² +7. BITK

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Q: matrices to solve the system if possible. Use gauss jordan elimination. If system is dependent…

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Q: Rewrite the following integral using substitution: $_1 -dx (5-x)³

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Q: Assume the world population will continue to grow exponentially with a growth constant k = 0.0132…

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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…

A: We have,  P = 17700  r = 6% = 6/100 = 0.006  t = 5

Q: (b) Let f(x) = [(3/6=+1) x<1 2x+3b, x21 continuous everywhere. . Find the constant X=1 b such the…

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Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

A: Solving the problem

Q: and q are complex numbers such that p = 7√3 and p + q = 12√2. On what interval must q fall? O…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 2 -2 (a) lim…

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Q: Verify that the function y = -1 y = ' − x + 0.25 is a solution to the differential equation y' = 4y…

A: The given solution is y'=4y+4x-2 and the solution is y=-10e4x-x+0.25 Verify

Q: Find the limit of the Limit: sequence an = (4n+ 1)! If the limit does not exist, type "Diverges" or…

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Q: Write out the three steps of the Understand-Solve-Explain process when answering the following…

A: 1 cubic feet of water weighs = 64.2 poundsTypical water bed holds 28 cubic feet of water

Q: |D|=48 60° a

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Q: Find the point on the curve r(t) = (5 sin t)i + (-5 cost)j-12tk at a distance 13 units along the…

A: Given : curve To find : Point on the curve r(t) at the distance 13 from the given point along the…

Q: b. through the points (3, 0, 1) and (0, 1, -1), and perpendicular to the plane with equation…

A: (B) we can use the cross product of the direction vector…

Q: Evaluate the sum 1 Σ² n! n=0 1 + (-1)^²+¹ + (-2)' (−1)n+1 n 2n+1

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Q: (a) Find (b) Hence evaluate d -1 dx (2x2+1)³ 1 So 12x (2x² + 1)4 d.x.

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Q: ső Can the Fundamental Theorem of Calculus be used to find √x-1?

A: To examine if the fundamental theorem of calculus applied to find the given integral or not.

Q: Given that tan(0) = 1.13, match each of the trigonometric functions with their value. sec(8) cos(8)…

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Q: Assume v(t) = 6t - 18 on the interval [0, 6]. Find the total distance that the object traveled on…

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Q: A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity…

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Q: df Use integration to find f(π), if dx = sin(0.6x), and f(0) = 6.

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