Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.) x = -1, 4, 8, 9; n = 5

Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = 2x - x², y = ...

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Q: Determine the intervals of concavity for the graph of the function f(x)= xe^x. ( Enter your answer u...

A: The graph is shown below::

Q: Find the critical point of the function f(x, y) = 24x – 4y² – In(|x + y|). - - c = Use the Second De...

A: see below the answer and explanation

Q: Q1 Consider the plane curve defined by the parametric equations x = p + t sin(t),y= p² + t cos(t). C...

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Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: Find the unit vector in the direction opposite to v = (1, 3).

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Q: 2. a| = 3, b|| V6, the angle between a and b is 45° 3. |a| = 6, |b|= 5, the angle between a and b is...

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Q: Vn2 +1 n+3 n=0 converges diverges Previous Page Next Page Page 7 of 16

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Q: The plane x + y + 2z = 20 intersects the paraboloid z = x² + y² in an ellipse. Find the points on th...

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). (Enter your answe...

A: cos(2θ)+sin2θ=0cos2θ-sin2θ+sin2θ=0cos2θ=0cos2θ=cos2(π2)We know that cos2θ=cos2(α)  ⇒θ=nπ±αThereforec...

Q: Assessment 1. Directions: Find the limit of the following. 8x+1 5. lim X-1 x+3

A: We know by definition of limit for a function f(x) , limx→af(x)=f(a) , provided f(a) exists.

Q: (cos(x) + cos(7x))dx (sin(x)- sin(7x))dx Match the integral expression on the left to an equal expre...

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Q: Find dx by using logarithmic differentiation for = (Cos x)(e)

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Q: ketch the region bounded by the given curve . y = x², y = 2x %3D

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Q: the coordinates or the point on parale x = 5t, y = 9 – t, z = 8 + 8t Y, z) = ( 0, 9, 8 ],) 5, – 1, 8...

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Q: Closure: A ship's captain sets a course due west at 20 miles per hour. The water is moving at 7 mile...

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: Use algebraic and/or graphical methods to solve the inequality. 10x° -x* <0 Select the correct choic...

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Q: y" – 2y' + y = -3 – x + x², y(0) = –2, y'(0) = 1. %3D %3D

A: Given: y''-2y'+y=-3-x+x2 ; y0=-2, y'0=1 So, We can also write as; D2-2D+1y=-3-x+x2   The auxiliary e...

Q: Directions: Find the limit of the following. 1. lim(x² + 2x – 1) x→2 2. lim (x³ + 8) X--2

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Q: Tutorial Exercise Determine whether the series is absolutely convergent, conditionally convergent, o...

A: This question is based on ratio test.

Q: Q8 Determine whether {(1+2)"} Converges or diverges. n=0

A: To find the convergence of 1+pnpnn=0∞ For that, note that: limx→∞1+axxa=e

Q: 15. Evaluate o" Sy" cos(x?) dxdy,

A: Given: I=∫0π∫yπcosx2dxdy   So, The region bounded by the lines x=y, x=π, y=0 &amp; y=π is as shown b...

Q: Let f(x, y) (a) Calculate || Vfp||. (b) Find the rate of change of f in the direction V fp. (c) Find...

A: Here we will find A, B, C ;

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 4t, y = 4 –...

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Q: 2 y = 2x – x¯, y = 2x² – 4x

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Q: Calculate the following double integral, where R = [1,3] × [1,2]: 1 dA. 1+ x + y R

A: Given÷

Q: Problem : Find the derivative of the series 16x4 2x 4x2 8x3 32x5 f(x) = 1+ Also 1! 2! 3! 4! 5! show ...

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Q: Let's consider the marginal cost function C' (x) = 0.02x + 28, where x represents the level of produ...

A: Given c'(x)= -0.02x+28

Q: Define the hyperbolic functions as follows. e" - e e" + e sinh r .cosh a 2 sinh x and tanh a cosh x ...

A: We have to solve both Questions.

Q: Find the dx/dy of 2x² + 4y² = 4.

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Q: Evaluate the iterated integral by converting to polar coordinates. –x² (x² + y?j3/2 dy dx dr de =

A:  Solution is given below...

Q: Evaluate: /sin(Vx)dx 2/x sin(/x)+2cos(/x)+ C B2sin(x)-2/xcos(x)+C 2/xsin(x)-2cos(x)+C D None of the ...

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Q: Let x = 0.42 and y = 1.1. Determine the value of C when you evaluate tan-(2x)dx. ( Use 2 decimal dig...

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Q: (2+ 5sec(e3*)tan(e3*) dx

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Q: Find the area of the triangle with vertices P(1,2, –2), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

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Q: II -A(0, a) -K(-a, 0) - T(a, ó) Τα, 0 ) : II 3. Given an equation of a circle, determine how to find...

A: Equation of tangent line of a curve f(x,y)=0 at a point (x,y)=(a,b) is given by, y-b=f'(a,b)* (x-a)

Q: TT 1 4.) S“ S,x² sin(xy) dydx

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Q: 1 リ=ス,メ=0; Xe2, y=or abt. A the x- Axls

A: Given

Q: Use the alternative form of the dot product to find u · v. |lu|| = 50, ||v|| = 20, and the angle bet...

A: Given: u=50, v=20 and angle between u and v is 5π6 We know that u·v = uvcosθ, where θ is the angle b...

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: Consider the points A(3, –3, 3), B(4, –5, 0), C(-3, –4, 0), and D(6, 2, –6). Find the volume of the ...

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Q: Let F(x) = f(x)+ g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“, Determine the value ...

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Q: Show that every member of the family of functions y = (ln x+C)/x is a solution of the differential e...

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Q: A gas balloon is being filled at a rate of 50π cm³ of gas per second. At what rate is the radius of ...

A: Write the formula for the volume of the sphere and take the derivative. 

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx - (...

Q: Determine the surface area of the solid obtained by rotating y = V(2p – x)(2p + x), |x | < 2 about t...

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Q: 2–3 Find |u X v and determine whether u X v is directed into the page or out of the page. 2. |v|= 5 ...

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

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = (3, – 2.14 X )...

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