f(0) = Sketch the graph of - (10) sin

Q: 6. f+sin(In x³) dx 7. S 9. S 5x 4-5x+1 8. S 10.f dy ey sin(e-y) dx √x 7+x3 dx In ³ (cos 0) cote de u…

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Q: D) Lim X-2x+1 X+-3 2)Lim X²-4 X-2 X²-5Xt6 3.) Lim X³-1 X-2 4 1+x X-0 X³ 4) Lim 5) Lim! XIX-1

A: We haveto find limit of the given function.

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Q: Several months ago, John O'Hagan investigated the effect on the popularity of OHaganBooks.com of…

A: Given that , c1=5000 , c2=6000 , v1=2030 , v2=2090 Construct a liner model.

Q: Evaluate the integral. 8 dt 64 + t² 6

A: D=∫08dt64+t21+tan2x=sec2xd dx(tanx)=sec2x

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Q: 36. 4x² 16x³ 4x + 1 dx

A: here we have to find the integral.

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Q: Question 5 Classify each differential equations as separable, linear, homogeneous, or Bernoulli…

A: Given: xdx+ydy=0

Q: Classify each differential equation as separable, linear, homogeneous or Bernoulli Equation. Some…

A: According to question,Given differential equation,dydx = x+yx

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Q: 3. Determine an integrating factor, dependent only on y, that makes the following ODE exact. Hence…

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Q: √x-5 f(x) = x² 8x 20 Find the intervals of continuity of this function f(x). - - NOTE: Use 'INF' for…

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Q: Use the graph below to estimate the marginal cost at the following levels of production. Round your…

A: To Find: Marginal cost when the quantity is: (i) 18,000 (ii) 14,000

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Q: 4. (a) Write an equation of the tangent line to the graph of g(x) at x = 2 (b) Find the value(s) of…

A: Given g( x ) = x1 + x2

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Q: lim x²-x-6 2 =→3-x²-7x + 12 ||

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Q: Question #2 - Find the relative extrema for the function f(x)=x²-3x² using the first derivative…

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Q: Statement sin (45°) = 2 COS (π) = -1 sin (-240°) = -1/ 2 sec (3) = -√2 True False

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Q: Consider the function f. Evaluate the following limit. Lim X-2x+1 X-3 2)Lim X²-4 X-2 X²-5Xt6 3.) lim…

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Q: Express the integrand as a sum of partial fractions and evaluate the S- x+9 2x³-18x Rewrite the…

A: Topic:- application of integration and partial fraction

Q: Show that (2x + y)dx + (2y + x)dy = 0 is exact, then find the general solution.

A: To find general solution

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Q: Consider the following sequence: W-GI 6n {an} = 5n² √√√n=1 Use the ratio +00 an+1 to show that the…

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Q: For q units of a product, a manufacturer's cost is C (q) dollars and revenue is R (q) dollars, with…

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Q: Examine whether equality of cardinalities is an equivalence relation on sets: i.e. if it is…

A: We have to show equation of cardinaties is an equivalence relation on sets.

Q: The dependent variable y is missing in the given differential equation. Proceed as in Example 1 and…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 16 -…

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Q: Find the equation of the tangent plane to the curve z = ² - y² at the point (5, 4,9).

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Q: a) By writing cos(30) as cos(20+0) show that cos(30) = 4cos³(0)-3cos (0) 1 4cos³(0)-3cos(8) b) Hence…

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Q: What's the derivative of  y=(xsinx)/(5+cosx)

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Q: = 2. Find the exact area of the surface obtained by rotating the curve y x-axis with 0 ≤ x ≤ 1.…

A: The given curve is: y=x22 To find the exact area of the surface obtained by rotating the curve about…

Q: dy 8. Sy sin(e-y) ey

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Q: 2. Find the derivative of each function: cos (x) 1-x² (b) g(x) = 5√x - √ (c) f(x) = (3x² + x −…

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Q: aw dr Find when r = 10 and s= - 10 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s).

A: see below the answer and calculation

Q: Which of the following is an ordinary, linear differential equation of order 2? +k²xt = 0 d²x +k²x =…

A: Find which equation is linear differential equation of order 2.

Q: Question 6 dy Given x- =2y;y (1)=2; Then y(3) = 20. dx True False

A: Topic = Differential equation  Correct Option = FALSE

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Q: 1. Use the definition of derivative to find the derivative of: f(x)=√x + 2. Is the derivative…

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Q: Find the definite integrals of the following. 4. 7 sin 2xdx 2

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Q: w=f(u) + g(v), where u = x+iy, v=x-iy, and i=√√√-1. Show that w satisfies the Laplace equation wy +…

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Q: Given that calculate the following partial derivatives af дх of ду 22f 0x2 22f ду2 22 f дхду 02 f…

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Q: For j(x)=(−2x2−2)(−3x2+2x), find j′(−1) by applying the product rule.

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Q: The graph of y = x² is given below: (to get a better look at the graph, you can click on it). Find a…

A: To determine the formula for transformed function.

Q: The number a (in thousands) of cat flea collars demanded each year when the price of a collar is p…

A: for p = 3  sale = 24920

Q: x2-4x+4 is equal to or less than 0. Solve the inequality

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Q: The cost, in billions of dollars, of airing x five-second hologram commercials during a Galactic…

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Q: is a differentiable fun

A: