y = [x + (x + sin²x)'] h) y=x+ Final Answer

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

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Q: (d) Express 2 as a linear combination of Y1 (e) Express 2 as a linear combination of L93 (HB)). (0)…

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Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x2y=x2. Find a…

A: Here we have to plot the graph through transformation.

Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: 2 Find the average rate of change of the function f(x)=x + 2x from x₁ = 1 to x₂ = 3. The average…

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Q: An arc of length 19 meters subtends a central angle of 288 in a circle. a) Find the circumference of…

A: Given query is to find the area of the circle.

Q: . (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise √x…

A: Topic:- application of calculus

Q: (a) Approximate the definition of the derivative with small values of h. (b) Use a graphing…

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Q: Assume that the domain of f is the set A = {−2, −1, 0, 1, 2}. Determine the set of ordered…

A: f(x)=x2-7

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

A: Question - Using the definition, calculate the derivative of the function. Then find the values of…

Q: Q.#6 Source: Stewart Ed. 8 You are given the composition r(x) = f(g(h(x))), where h(1) = 2,…

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Q: 2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1 and u is the unit step…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) |x|…

A: As we know from the absolute rules: 1). -x=x, where x>0 2). x=x, where x≥0 3). xy=xy   Given:…

Q: te the following: 2x dx x - 4 dx

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Q: If f(x) = 9³x² 48 √√√x 3, find f'(8). X

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Q: A circle has the graph shown with the indicated center. 6+ 5 4 32 2 H -6-5-4-3-21 -2 -3 15 -6 + 2 4…

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Q: A circular oil slick is expanding with radius, r in feet, at time t in hours given by r = 6t -…

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Q: Find all the second-order partial derivatives of the following function. 6 8 +y 74 f(x,y)=xy-x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the following. v=²(x²+1) ²/² y -1 40 30 20 10 2 3 4 5 Find the arc length of the graph of…

A: Consider the following. y=23x2+132 To find the arc length of the graph of the function over the…

Q: 1. Let h(x) 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists a value c between…

A: Let's find value of x by using intermediate theorem.

Q: π/4 IF ST/A tan (x) sec(x) dx = I, express the value of 。 π/4 tan (x) sec(x) dx in terms of I.

A: Given:- ∫0π4tan4xsecxdx=I

Q: Given that f(x) = 2x − 2 and g(x) = 7 - x², calculate - (a) f(g(-3))= (b) g(f(-3))=

A: fx=2x-2, gx=7-x2, fg-3

Q: Find the first three partial sums for the following geometric series. Clearly show plug-in steps…

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Q: 5 ၊ ၀ 9-

A: Given query is to find the correct graph of the function.

Q: K Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

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Q: The magnitude R (on the Richter scale) of an earthquake of Intensity / is defined as (7) ► where Io…

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Q: n equation of the line that passes through the given point and has the indicated slope m. Point…

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Q: 3. A horizontal line through the point (4, 6) is defined by which equation? Ο Α r = 4 OB. x 6 Ocy 4…

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Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

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Q: Find T, N, and K for the plane curve r(t)=(8cost+8t sin t)i + (8sin t-8t cos t)j, t> 0.

A: You have asked multiple question, we will solve the first question for you. The rest can be asked as…

Q: Given that f(x) = 2x2 and g(x) = 7 - x², calculate (a) f(g(-3))= (b) g(f(-3))=

A: Given query is to perform indicated function operations.

Q: Use the graph below to fill in the missing values. -1 5 3 7 f(0) = f(x) f-¹(0) = 1 2 3 f(x)=0, x=…

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Q: dy Y dt Find the general solution of the differential equation: == t Use lower case c for constant…

A: given dydt=-yt-3dydt+yt=-3

Q: Sketch the graph of a function f that satisfies all of the given conditions. lim f(x) = 1, lim f(x)…

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Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

A: Given query is to find largest possible area.

Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t-20)², for 0 st≤ 20, where t…

A: Please see the below picture for detailed solution.

Q: A tank contains 50 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the x²…

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Q: Find the power series representation for the function and determine the radius of convergence R.…

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

Q: Find a value c in [1, 4] such that f(c) is equal to the average value of f(x) = e2x + 1 on [1, 4].…

A: f(x)=x2x+1  on 1,4formula for average value  is favg=1b-a∫abf(x)dx∫exdx=ex

Q: f(x) g(x) The graphs of f and g are given above. You may click on the graphs to get larger images of…

A: Given query is to find the value of indicated quantity from the graph.

Q: 45° 8 Q The height of a right triangle with base angle 45° and hypotenuse 8 is

A: Answer: The solution is given below:

Q: Given that f(x) = x² (a) (ƒ+g)(x)= (b) (f - g)(x)= (c) (fg)(x)= - 15x and g(x) = x + 1, find

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

Q: Find an equation of the plane. the plane through the point  (6, 0, 1)  and perpendicular to the line…

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Q: Solve the exact differential equation (-5 sin(x) - y sin(x) + 4 cos(x)) dx + (cos(x))dy = 0 where…

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Q: the curve r(t)= lies on which of the following surfaces? A. z = y B. x = y^2 - z^2 C. x^2 = y^2 -…

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Q: Find the x² − 6x + y² — 8y = 9 y-intercepts of the graph of the equation

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