13. Find the equation of the orthogonal trajectories of the system of parabolas y² = 2x + 2. a. y = cex b. y = cex c. y = ce²x d. y = ce-2x

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A:

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A: We have to answer the following questions which will lead to the graph of the given function. We…

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A: We have to evaluate u•v.

Q: (22) The volume of the solid y=(x-1)(x-3)² about the y-axis is: (A) 4n (B) 2 (23) The arc length for…

A:

Q: 1) Identify the x-values at which f(x) is a) not continuous b) not differentiable c) continuous but…

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Q: How do I classify whether the region is Type I or II? How can I approach the set-up of the integral…

A: Given: y=0, x=-10+y and x=10-y

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A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, point…

Q: Evaluate the integral 1 w3+5w² +9w-7 w²+2w-3 dw

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Q: nts ph of f-¹(r)? 3. 4. 4- -4- 4- Answer Choice

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Q: It's the last equation that I keep getting wrong. When I do the math I end up getting 3h-12a-9 as…

A: Given f(x)=7-9x+3x2     We are required to find f(a)f(a+h)f(a+h)-f(a)h

Q: nd the average velocity of the object over the interval of time [3,6]. hoose the correct answer…

A: We will find the required.

Q: The expression log a³ + 3 loge(cb4) -7, where c, a, b > 1, written as a single logarithm, is…

A:

Q: Consider the following problem: A box with an open top isto be constructed from a square piece of…

A: We need to solve volume problem.

Q: Find the measure of the angle shown 2) A) C) 5л 6 5л 3 B) D) 14л 9 19π 12 X

A: We know that  One quadrant= π2

Q: dy For the equation, use implicit differentiation to find dx dy dx = x(y - 2)² = 7

A: here given that x(y-2)2=7 this can be written as  (y-2)2 = 7/x (y-2) = √(7/x) y=√(7)/(√x) +2 now…

Q: Consider the function f(x) = 6√x+8 on the interval [2, 9]. Find the average or mean slope of the…

A:

Q: A company's average cost per unit when x units are produced is defined to be Average cost = Total…

A: Given function describes average cost per unit when x units are produced

Q: Given the equation f'(x) below, which of the following Statements is true about the Function f(x)?…

A: We have to find the relative maxima and minima points of the function.

Q: uppose a professor counts the final exam as being equal to each of the other tests in her course,…

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Q: Find the area of a parallelogram whose vertices are (-6, 7, 9), (-6, 9, 6), (-3, -5, 14), and (-3,…

A:

Q: A solid lies between planes perpendicular to the ar-axis at az = 0 and x = 3. The cross-sections…

A: Given that , y=x , y=-x , 0≤x≤3

Q: Find the general solution of the differential equation. Then, use the initial condition to find the…

A:

Q: Given f(x, y) = x³y + 7xy². Compute: 8²f 8x² 8²f by²

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Q: Given the function f(x) = 3(2-a) +b, a 0, the domain of the inverse of f(x) is O {r|r>b, reR} O {xx>…

A:

Q: In its second year of operation, a local Internet provider's profits were $172,500. If this amount…

A: We can solve this as follows:

Q: An air freshener starts with 15 grams and evaporates. In each of the following cases, write a…

A: The initial amount=15 grams.

Q: Solve for the particular solution: (D2 - 5D + 6)y = 20sin(x) + 30cos(x) yp = 5 sin(x) - 2 cos(x) O…

A:

Q: x dx + sin² X [ydx−xdy ] =0

A:

Q: 54. Let f(x) = ={₁ (A) lim+f(x) (C) lim f(x) x--2 x + 3 √x+2 if x -2 (B)_lim_ƒ(x) (D) f(-2) Find

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Q: ompute the derivative of f(x) = sin(x) using the definition of the d u to write out your work on…

A: given function is  f(x) = sinx then we have to calculate its derivative f'(x).now ,     f'(x) =…

Q: (x+2y-1) dx - (2x + y-5) dy = 0

A:

Q: Use the Laws of Logarithms to expand the expression. In(x²√x-8) VX-8 5x + 9

A: properties of logarithms lna.b=lna+lnblnab=lna-lnblnxn=nlnx

Q: Let v = 17 + 37 and w = 17 + 9j. 3j Find an exact number c so that w cv is perpendicular to v. C =

A:

Q: The graph of h(x) = ² is transformed into the graph of y = g(x), whose equation can be written in…

A: We need to find transformation function.

Q: Replace the polar equation r = (csc θ) e4rcosθ with an equivalent Cartesian equation. Then identify…

A:

Q: سان (1-e dt 8

A: Given integral:- ∫0∞1-e2t2dt

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of x 8 ƒ( x ) = √ √ ²* ( ²…

A:

Q: The midpoint of the line segment P1 to P2 is (-6,7). If P1=(-4,6) find P2

A: The midpoint of the line segment  P1 to P2 is (-6,7). If P1=(-4,6) find P2

Q: Suppose s(t) is the position of an object moving along a line at time t20. What is the average…

A: The average velocity of an object between the times t=a and  t= b is given by Vav=final postion…

Q: Find the equation of the line with Slope = −7 and passing through (9,−55). Write your equation in…

A: Find the equation of the line with Slope =-7 and passing through (9,-55).

Q: Find the volume of the parallelepiped determined by the vectors a = (4, 3, − 1), b = (0, 2, 4), =…

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Q: Consider the following graph. domain y 1 0 range Determine whether the curve is the graph of a…

A: We can solve it by following method.

Q: 2. Below is the graph of f'(x). For what values of x is f(x) decreasing? Explain. ↑f'(x) 5 3 2 -1 -2…

A: Topic = Functions

Q: dx (15)√₁x²6x+9 (16) The average value for the function f(x) = 2x - 4 on [1,5] is: (A) 2 (B) 3 (B) 5…

A: Given that  a function f(x) = 2x-4 on interval [1,5]. And we find average value for this function.…

Q: Find the 2nd degree Taylor polynomial at of each function. 1 P₂(x) = 1 x 1 P₂(x) = [ 1 + x…

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Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = -x³, f(a + h)…

A: Topic = Function

Q: | 2.x √√2x-1 dx

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Q: f(x)-f(a) Evaluate the difference quotient x-a function and simplify your answer as much as…

A: To find the diffrence quotient for f(x)

Q: 07 * Solve the following systems by elimination and back substitution: 3 200 X 29. 4500 0065 0076…

A:

Q: During the first year, the value of an investment rose by 18%. During the second year, the value of…

A: NOTE: Refresh your page if you can't see any equations. . let the initial investment is x the value…