1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one zero is 3i -

Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 5 cos(t)i + 4 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Here is the solution

Q: Find the second derivative of .2 y = Vx² + x-3 O 6/x^2 O 12/x^3 O 6/x O 12/x^5

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Q: 1. Let f(x) be a function of period 2n such that 1, -7 <x < 0 0 <x <7. 5(<) = { 0, a) Sketch a graph…

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Q: 7. Evaluate the definite integrals. a) S TVr - Idx b) Si evE dx

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Q: y" + 5y + 3y = 0, y(0) = 1, y(0) = 0.

A: This is a problem of differential equation. Solution consist of complimentary function and…

Q: ꭍkg(x)dx=___ where k is a constant * a.(k/2)ꭍg(x)dx b. ꭍg(x) c. kꭍg(x)dx d.1

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Q: The following figure shows the graphs of y = f(x) and y = g(x), together with the indicated %3D %3D…

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Q: What is the minimum product you can achieve from two real numbers, if one of them is three less than…

A: This question is based on application of derivative.

Q: The following figure shows the graphs of y = f(x) and y = g(x), together with %3D %3D the indicated…

A: Given problem:-

Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: rotational. essible.

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Q: 4. Find the critical numbercs) for gx) =IRCX+1) t, en cuaracterize ealh, one as 1ocal min, or…

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Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y+z=2 and…

A: General equation of plane is taken and given planes are used.

Q: r-3 = 3coso -6

A: Given that :.  r - 3 = 3cos(theta) First we change this polar equations in the form of Cartesian and…

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Find the volume of the solid generated if the region bounded by the parabola y2 = 4px (p > 0) and…

A: Given

Q: 1. The area of a circle decreases at a rate of 3 feet square a. If the circle starts at a radius of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); i 5 .5 и 3

A: The function is given by  fx, y = sin8x-5y The point is x, y = 5, 8 The unit vector is  u = 35i-45j…

Q: 1. For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates…

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Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: We will find the possible age of Rojana and AJ in the following step.

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: O (1, 5) О (-о, 1.5] O (-1, 4) О (-3, 2)

A: Let's find.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z² = 26, (1,…

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Q: In general, if f(x) is real and continuous in the interval from x to xy and f(x1) and f(xu). between…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: ||r'(t) × r"(t)|| Use the formula k(t) = to find k(t). 13 r(t) = el2"i +e-j 12ts K(t)

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Q: 3. In the differential equation (2x+ y)dx- 3(2x+ y+4)dy=0, we let the substitution dy =,

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Given the function glx) = -, find the x-value that satisfies the Mean Value Theorem on the interval…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: (r+)) (r-3) Gruen ( 3n2 find ŕ> which makes the power of x equal to 5 and find the of 2° coefficiend

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Q: If f(x) and g(x) are two functions defined on an interval then, ꭍ{f(x)±g(x)} is equal to? a.…

A: We have to choose correct option.

Q: a. Find all the asymptotes of the following functions 4x* + 4x3 + 12x² + 6x – 24 6x* + 8x – 9 f(x) =…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: This question is based on application of definite integral and shell method.

Q: Consider the following function. f(x) = (x + 4)2/3 (a) Find the critical numbers of f. (Enter your…

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Q: what is of the waximal domain gla) = Inf2x)

A: Maximal domain is the largest set of real numbers for which the function is defined. The given…

Q: Find the area of the region enclosed by the rose r = 2 cos 30. NOTE: Enter the exact answer. A ||

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Q: Find the solutions of the system of inequalities by graphing: x + y 2

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Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

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Q: (-2 if XS-1 S(x) = {x² -3x+8 if if -1<x<2 x22

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Q: Written Works Evaluate the following Integrals. 1. S sin ycosy dy 2. sin3x dx 3 1 3. Jс S cos-y dy |…

A: Given: 1). I=∫sin3ycosydy  ....(1)   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

Q: Determine the maximum and minimum values ​

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Q: Q1 (- Use the comparison test to verify that the following series converges: 1 n =17+n6

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Q: Find dy/dx for  a.) y=xx+3

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 7. x Arcsec (2x) dx (4x2 – 1)7

A: This is a problem related to integration. Based on the general formula and partial fraction concept…

Q: Solve the differential equation dy ; y(0) = –1. %3D da Vx³ +1 There is no need to isolate y.

A: We know, ∫xndx=xn+1n+1+C , C is a constant and n is any real number.

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

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Q: Question Find the determinant of the given system of equations using any appropriate method. a+ 3b -…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Find the following derivatives a. 2 tan-(2x²) b. e-3/5 -3/5 + 2x-3/4

A: Solving the problem by finding the derivative of the below function.