Use the price-demand equation to find E(p), the elasticity of demand. x=f(p)=87-0.7 e P E(p) =

Q: Tab -Lock HH You are given the following function. f(x) = 8.5x²-x+ 3.9 (a) Find the derivative of…

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A: This question can be solved as per the concept given in the question

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Q: Complete the following table. Exponential Form 1.2¹ = 16 2. 11² x 3.7%= 400 5. 6. 7. 8. 16¹/4=2 9.…

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Q: Solve the DE y' = xe2y, subject to the initial condition y(0) = -1. Oy = -(1/2) In (-x^2 - e^2) Oy =…

A: This differential equation can be solved by using the method of separation of variables.

Q: Let: g = 3+√7f Find:f Select one: O a. O b. O c. O d. 12f² √/5h+5h √/Tf 10fh 12f²√7h+5h√7 10fh…

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Q: 3. Evaluate the given limit algebraically, if it exists ²-9 lim- x+³2x²-5x-3

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Q: Find the domain of the composition (fog)(x) given f(x)=x²-1 and g(x)=√√x²-4. If possible, find…

A: If f : A → B and g : B → C then (f∘g) : C → A defined by (f∘g)(x) = f(g(x)) for all x belongs to C.

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Q: Let k (x, y) = e 4x cos (x+2y). Considering any value for (x, y) an element of the domain of k,…

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Q: 1. Given the vectors u = and v = , calculate 2v − 4u and |ū + v|.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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Q: c) Ok= d) Ok= (144 +¹+4) 3/2 48 |t| (144 +¹+4)³/² 48 t 3/2 (576 +²+4)³/²

A: solution is given below...

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Q: There are two points on the x-axis that are located a distance of 4 units from the point (4, 1).…

A: solution is given below

Q: The table lists the frequency F (in Hertz) of a musical note at various times t (in seconds). (a)…

A: The given table for frequency of musical note and time t t 0 1 2 3 4 5 F 436 444 434 446 433…

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Q: Find and if dy dx² dy dx = 5 sec 0 and y = 5 tane

A: Given: x=5secθy=5tanθ

Q: Find lim h→0 f(x+h)-f(x) h f(x)=2x-3, x = 5 The lim f(x+h)-f(x) h for the given function and value…

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Q: For the pair of functions f(x) and g(x), find f(g(x)), g(f(x)), and f(f(x)). f(x) = x7; = x'; g(x) =…

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Q: Find the domain and range of the following graph in interval notation. 5+ 4 -4 -3 -2 구 3 2 1 dy 1 4…

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Q: Question 35 f 16x (2x²-3) 4 + c O4(2x² - 3) 4 + c O4x (2x² - 3) 4 + c O 48(2x2 - 3)2 + c Evaluate…

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Q: 5. y' = x++3x²y2+y4 х3у

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Q: x²+6x+9 x+1 b) x = -6 4. Find the zeroes of f(x) = a) x = -3 c) x = -2 d) x = -5

A: This is a problem related to calculating roots of the equation.

Q: The measurement of the edge of a cube is measured to be 8 inches, with a possible error of 0.02…

A: The solution is given below

Q: Find the domain of the following function. f(x) = ln(9-√√x-2)

A: Topic = Functions

Q: Find the next term in the sequences 5,24,7,48,15,x.   Find x. Please show all the steps of the…

A: Solution is given below:

Q: 79. f(x) = 4x + 3

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Q: Question 3 A (B) ) Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ? 3x²y…

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Q: y = x²y + 1

A: To differentiate the given function.

Q: Calculate the cross product assuming uxw = (-3,5,-2) (Use symbolic notation or fractions where…

A: a) Given u×w=-3,5,-2Therefore(5u+7w)×w=5u×w+7w×wBut…

Q: 3) Use factoring to solve the equation 6x2 - 13x+6=0 4) Use the quadratic formula to solve the…

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Q: Use the alternative curvature formula k = K= r(t) = (4 e cost,4 e sint,4 e ¹) |vxa 3 |v|³ to find…

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Q: Let g(x) = 7 -5x - 4x². Then the expression g(x + h) - g(x) h can be written in the form Ah + Bx +…

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Q: (2x + e^y)dx + x e^y dy = 0  is an exact DE, please solve its general solution with complete…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution of the…

Q: 1 कर lim(1+xe2x) X→0 ४

A: Find the limit of the function when x tends to zero.  f(x)= (1+xe2x2)1/x^2

Q: (x-y sec² -xtan)dx + (x sec² )dy=0; y(3)=

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Q: Solve the homogeneous differential equation xy 2y²-x² dy dx d=2v== dx

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Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

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Q: 2. Each of the following limits represents the derivative of some function f at some num- ber a. In…

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Q: Find all solutions to the equation cos(x) = √√3 2 in the interval [7, 2ë].

A: We can find the answer in the below steps.

Q: Suppose the region between the graph of y = x², the y-axis, and the line y = 3 is revolved around…

A: Topic = Volume

Q: Find a plane containing the line r(t) = + t and orthogonal to the plane - 5x – 2y – 2z = − 4.

A: Given that the line r¯t=7,-8,8+t-3,6,1 and the orthogonal plane -5x-2y-2z=-4.

Q: Question 9 Interpret r(t) = (3 e' cos(t))i + (3 e sin(t))j + (3 e) k as the position of a moving…

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Q: Which of the following is the general solution of the differential equation x^3dy - y(x^2 - y^2)dx =…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given line x=2t, y= t − 3, z = 2t + 2 That is , r=(-3j+2k)+(2i+j+2k)t And given point (7,-6,5)

Q: 2. Estimate the area (in units of cm²) enclosed by the funny-looking curve shown below. Show your…

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Q: Find an integrating factor for each of the following equations and solve these equations. 1) (x² +…

A: Solution

Q: Determine whether the alternating series converges. Σ(-1). Sink O The series converges. O The series…

A: The given alternating series ∑k=3∞-1k5ln kk we have to fins the series is converges or diverges.