Ek(x-10)*

Q: ind the critical points, A and B, of the following polynomial (with A < B). f(x) = 6x³ + 18x² – 630x...

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Q: 14 and 22

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Q: Find polar coordinates of the point that has rectangular coordinates (-5, 0). Write your answer usin...

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Q: Convert each polar equation to rectangular form. (a) r sine = -7 Rectangular form: (b) r=6 Rectangul...

A: To convert polar equation to rectangular form, use formula:    x = rcosθ    y = rsinθ   x2 + y2 = r2

Q: 5. Graph of Exponential function Exponential Equation: y = 3*+) -1 y-intercept x-intercept Domain so...

A: Y=3^(x+1)-1 is given function. ,put y=0 for x intercept and x= 0 for y intercept , domain are the va...

Q: Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can clic...

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Q: If f(x) = 5x2 − 6x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be ...

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Q: Use the permutation and combination formulas to prove the following. +k – 1) (n + k – 1 (b). V k, n ...

A: We have to  prove given formula using peemutation and combination

Q: 2t3 2. Evaluate dt (4 – 2t4)11

A: We have to solve the integration

Q: Please answer the problem as soon as possible. I need it asap. Thank you! Find the orthogonal trajec...

A: The given curve is: yx2+1=Cxy=Cxx2+1          ......1   To find the orthogonal trajectory to the fam...

Q: The following are angles in standard position, EXCEPT II III a. Il only b. Tonly C. All of them d. I...

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Q: For each of the following angles, assume that the terminal ray of the angle opens up in the counter-...

A: Given that circle radius r = 8cm subtends arc length l = 11.2 cm angle = θ  

Q: Let ü = [1,1,0] and i = [-1,1,0]. Find the dot product a) 0 b) 1 c) 2 d) 3 e) 4

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Q: What is the price of gasoline per litre in Canadian dollars if a U.S. gallon of gasoline costs US$3....

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Q: 51-70 Polar Equations to Rectangular Equations Convert the polar equa rectangular coordinates. 51. r...

A: Given that: 55. rcosθ=657. r=4sinθ

Q: 1. Calculate the slope of the following lines. a) b) d)

A: Slope=(rise/run) Points are not clear so we can assume one square on the graph is 0.5 units so on th...

Q: 11-16 Different Polar Coordinates for the Same Point Plot the point that has th given polar coordina...

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Q: Problem 3. Use the properties of the Convergence of a Geometric Series to determine whether the geom...

A: Given series  ∑n=1∞12n

Q: (§5.4, Q42) Calculate So™ f(x) dx, where sin x, x T

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Q: Colculate the isogonal trgjectories of y-ce* at 5.

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Q: Find the volume of the solid generated by revolving about the line x = 3 and the region is bounded b...

A: To find the volume.

Q: The amount of fans that have entered the stadium of a UT football game after the doors have opened i...

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Q: dy _y dt a. y = 0 b. y = 2 c y = 2t d. y = -3t e. y = t? C.

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Q: Evaluate the following definite integral. 3 | (( cos 3t)i + (sin 3t)j + (2t)k) dt -- Select the corr...

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Q: The curve with the equation 2(x² + y2)? = 25(x² – y) is called a lemniscate (shown below). (a) Find ...

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Q: Activity 3.3.2. Let g(x) = r-2x +2. a. Find all critical numbers of g that lie in the interval -2<x ...

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints...

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Q: cost). 18 Compute r''(t) when r(t) = (t°,9t, cos

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Q: 16. y = x**

A: 16. The function is given by y = xxx                             ...........1 To evaluate: The expre...

Q: Find the orthogonal trajectory to the family of curves: y(x²+1) = Cx

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Q: dy dx 1+x

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Q: a. Find the vertex and opening of the parabola b. Find the points of intersection of the given curve...

A: Note : As per our guidelines we are suppose to answer one question and 3-subparts. Since you have a...

Q: Find the point(s) at which the given function equals its average value on the given interval. 9) y =...

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Q: a) Estimate the area under the graph of f(x) = 2√x from x = 0 to x = 4 using four approximating rect...

A: We are given the function  f(x) = 2√x. For (a),

Q: x + 2 Question-1 Given f(x) x + 2. Show that. x – 2' x + 6 1. f(§) x – 6 x +1 2. f(2x) х — 1 3. f(x ...

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Q: 4. The region A(under the x-axis and below the curve) has an area of 1.5, and | f(x)dx 3.5 Use this ...

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Q: Solve the following differential equation (3xy3 + 4y)dx + (3x²y² + 2x)dy = 0; when x = 1, y = 1

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Q: Find the general solution of 6y2 dx - x (2x3 + y) dy = 0

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Q: x² - 36 d. dx Respuesta Vx? - 36 – 6cos(6/x)+C dx e. F0+x°) Jro+x°) Respuesta 1 -(tan (x/3) +3/ x) +...

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Q: We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold...

A: Given query is to find the hight of the box which will give maximum volume.

Q: Evaluate the integral using the following values. 8. 8. dx = 960, x dx = 24, 8. dx = 4 %3D %3D %3D 1...

A: solution is given below..

Q: 4. Graph y = Sin(x) and y =-sin(x)+1 on the same graph and discuss the effect of transformation in t...

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Q: Compute the indefinite integral of the following function. 1 r(t) = 6' i + j+ In 15t k 2 + 5t Select...

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Q: y(x) = c1e + czeX+ 4sin(x) ; y(0) = 1, y'(0) = -1 a. C1 = -2 C2 = 3 %3D b. C1= 2 C2 = -3 c. C1= -2 C...

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Q: If the auxiliary roots of a certain HLDE with constant coefficients are 0. -1, and 3, then the gener...

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Q: Find the general solution of y"'- 6y"+21y'- 26y=0 A y=c,e+c,e²* cos 3x + c,e²"sin 3x B y=c,e¯ª+ ' co...

A: The given differential equation is: y'''-6y''+21y'-26y=0 The auxiliary equation of the differential ...

Q: 1. Separate x and y variable and solve the following ODE: 2 dx y In x- dy y +1

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Q: Find the integrating factor. a. (xy + y2)dx + (x + 2y- 1)dy = 0

A: We have to solve the problem

Q: ​ firm's marginal​ profit, P, as a function of its total cost, C, is given by the equation below. ​a...

A: We have to find the profit function P(c)  Using given intial condition P=$12 when C=$21 And find cos...

Q: 32. Find a formula for sin(0 - 4).

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