Which Law states that the quantity demanded will increase as the price of the product decreases? Law of Demand Law of Cost Law of Revenue Law of Supply

Q: Find the area enclosed by the given curves. TU TU 26) y = sin x, y = csc 2 x, ≤x≤ 3 2 27) Find the…

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Q: Solve the initial value problem. d²s_ dt² 34) -128cos (8t), s (0) = 6, s(0) = 8

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Q: If f(x) = 4x² - 2x + 7, find f'(3). Use this to find the linear approximation to f(x) at x = 3. The…

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Q: Find the breakeven point of the following functions: C(x) = 5x - 7 R(x) = 2x Approximately (2,…

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Q: Find the constant a such that the function is continuous on the entire real line. 7sin x 10 11 g(x)…

A: Here we will find the value of a,

Q: 5. The motion of the shock absorber is modelled by the function, h(t) = e-0.5t sint. a) Identify the…

A: Given modelled function is h(t)=e-0.5tsint of motion of a shock absorber. We need to answer…

Q: Use the Root Test to determine whether the series converges. 2 1 3 1 1 ·* ·*·* ... + 18 36 54 72 +…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the function represented by the following series and find the interval of convergence of the…

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Q: Let f(x) = (x−³+4)5 – 1.

A: Assume that y=f(x) and use the description of f(x) and then express x in terms of y, that formula in…

Q: 7. Differentiate w.r.t x- sin 5x cos 3x

A: Given problem:- Differentiate w.r.t  x sin5xcos3x

Q: Use implicit differentiation to find an equation of the tangent line to the graph at the given…

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Q: Consider the following. f(x) = tan(x), (3,-1) (a) Find an equation of the tangent line to the graph…

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Q: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular a. 1 unit b. 2…

A: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular. We have, A= 2i…

Q: 12) Use Newton's Method to find the closest root to xo =1 for f(x)=x-In(x+4)

A: Given: Function f(x)=x-ln(x+4) and x0=1To find: use newton method to find the root near to x0=1

Q: Find or evaluate the Integral by completing the square. (Use C for the constant of Integration.) 10x…

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Q: es and state values of 0 that produce the entire graph s the entire graph of the parabola?

A: We have to convert in polar form from the given Cartesian curve (parabola)

Q: Consider the function f(x) whose second derivative is f''(x) = 8x + 6 sin(x). If f(0) = 2 and f'(0)…

A: Given  f''(x) = 8x+6 sin(x),  f(0)=2,  f'(0)=4 We have to find the value of f(3).

Q: K Write an equation for the ellipse. Type the left side of the equation in the box below. Q

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Q: (sin² y + x coty)y' = 1

A: I have appended the formula used in the solution part of the question.

Q: TRUE or FALSE: If a skater is skating directly away from a 6 meter tall lamp at 7 meters per second,…

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Q: K his Find the vertex, focus, and directrix of the following parabola. Graph the equation. 2 x +…

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Q: Express the sum using summation notation. 5² 53 3 5+ .... ΣΠ K = 1 57 Complete the sum of the…

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Q: Find the indicated term using the given information. a45 = -137/5 , a17 = -53/5 ; a6

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Q: What is the correct equation for the following scenario? Alex wants to figure out how much money…

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Q: Two sides and an angle are given below. Determine whether the given information results in one…

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Q: 18. Find each indefinite integral by using appropriate substitution. cosx − xsinxdx XCOSX fco

A: Topic = Integration

Q: LINEAR DE: FIND THE INTEGRAL FACTOR AND THE GENERAL SOLUTION

A: This question can be solved using the concept of linear differential equation.

Q: Find the derivative of the function y=x² + 3x - 1. Attach File

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Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

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Q: Find the radius of curvature of a parabola y² - 4x = 0 at the point (4,4). 2

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Q: Find the area of the shaded region. 44) 2) (II/4, 2) TE: II II 2 311 4 y = 2 y = csc²x X

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Q: Graph the equation r2=81 sin (20). Use a graphing utility to check your work and produce a final…

A: Solution: Using the formula r2 = a2 sin(2θ), where a≠0 graph the lemniscater2=81sin(2θ)

Q: Question 1 Nondifferentiable graph.png Find the x-values (there are three values) from the graph,…

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Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

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Q: Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall…

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Q: Find the volume of the solid that results by revolving the region enclosed by the curves y=4-2r²,…

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Q: What is the difference between net area and total area from the curve to the x axis? What is the…

A: answer is in next step. please give a like!!

Q: Solve the following initial value problems: A. y(0) = -3: y= B. y(0) - 6: y= dy dt 2t

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Q: y(2x^2-xy+y^2)dx - x^2(2x-y)dy = 0 when x=1 ; y=1/2 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y)…

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Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = 4(x - 5), (6,5) ||…

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Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

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Q: 10. A tank originally contains 380 litres of brine holding 450 N of dissolved salt. Eight litres/min…

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

Q: 1. Find the Taylor series for f(x) = cos x centered at a = 4. Express your answer in sigma notation.

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Q: 97 Find the following percentage. oon ai show my wade-VOIT 16% of 79-264 siri) 98. Find the…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: f(x) = x3 -3x2 + 3 here we have to find the relative maximum and minimum point  from second…

Q: Use the Laplace transform to solve the following initial value problem: 5t x' = 14x + 5y, y = −9x +…

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Q: I can't read this handwriting at all.

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Q: Determine all Horizontal Asymptotes. x²-2x+1 x³+x-7 50. f(x)=. 51. f

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

Q: The volume of a sphere is decreasing at a constant rate of 1515 cubic meters per minute. At the…

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Q: y = 14. If u +4 u-4 and U= √x + x 10 dy , find dx when x=4.

A: This question can be solved using the concept of derivatives.