Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 1; -9 +

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. :

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: Solve the equation. 1 27 3x4/5

A: Given,

Q: Solve. X-4 7x + 5

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Q: Consider g(x) = -6x³ + 14 - 14x - 16x² Determine the intervals on which g is decreasing. g is…

A: In this question, we will find the interval of increasing and decreasing and local maximum and…

Q: Use the properties of logarithms to expand the logarithmic expression. In (34) 94

A: By using the properties of logarithmic functions to expand the expression is     ln(x/94)

Q: Evaluate the following integral. 36 2 x - 36 36 x²-36 2 dx= dx

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Q: Please explain how to get to the answer in-depth and also help me master the concept for future…

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Q: Find for the following: (a) xy = cot(xy) dy dx (b) x²y = y

A: To find  for the following: (a) (b)

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: The equation of a line through the origin that makes an angle a with the positive x-axis is  = aThe…

Q: how much must be deposited now? The interest rate is 9%, compounded

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Q: Use the differential for ex^(2)-y^2 to approximate the value of f(2.1,0.8). Your answer may have…

A: The given function isTo find,f(2.1, 0.8)

Q: Simplify: x5/6y2/7x4/34/7 x2/3y1/7 Entry Tip: put the numerator and denominator in parenthesis. Also…

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Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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Q: Consider the function f(x) = 2x³ − 6x² - 18x + 9 on the interval [-2, 4]. What is the absolute…

A: f(x)=2x3−6x2−18x+9

Q: Put the following function in the form P(t) = Poekt. P(t) = 110(0.72) NOTE: Round your answer to…

A: If we need it in the form P = P0 ektGiven, the P0 term is there (it is 110)The only thing we need to…

Q: The magnitude of the vector (5,-2, 3) is √/38. Select one: O True O False

A: Given vector is: Let vector

Q: Evaluate 3 [[x³y dy dar. Please show 0 decimal places. your answer to 4

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Q: 12. {yly = x² - 1, x = integers}

A: {y/y=x2−1,x∈integer}

Q: Find a formula for the nth partial sum of the telescoping series below and use it to determine if…

A: ∑n=1∞(n+6−n+5)

Q: Find the derivative of the function at Po in the direction of A f(x,y.z)= - 3e cos (yz). Po(0,0,0).…

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Q: Let s(t) = 6t³ + 9t². v(t) = t - Where does the velocity equal zero? [Hint: factor out the GCF.] and…

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by x² +…

A: By using the implicit differentiation to find an equation of the tangent line to theellipse defined…

Q: (3) Find the general solution of the following different equation (2x³ − xy² −2y + 3)dx − (x²y + 25…

A: Given Differential equation

Q: (a) Setup an integral to calculate the area between the curves r = 2 + sin 30 and r = 4 - cos 30.

A: As per guidelines we can answer only first question if multiple questions are posted.Please repost…

Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

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Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

Q: Find the arc length of the curve on the given interval. Parametric Equations x= 7t + 5, y = 7 - 8t…

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Q: The vectors (8,-12, 16) and (8, 12, 5) are orthogonal. Select one: True O False

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Q: conditions

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Q: Find the general solution of the differential equation below and check the result by…

A: given differential equation

Q: Find the inverse matrix where A = 1 -1 2 -3 -3 1 2 -3 -3

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Q: SYSTEM: x + y + z = 6 2x - y + z = 3 3x z = 0 -

A:

Q: use implicit differentiation to find dz/dx, where it is defined, if ln(x^2+y^2+xz)=5

A: The given equation  is

Q: Consider the following parametric curve. x = sin(t), y = cos²(t); (√2-1) Find an equation of the…

A: The slope of the tangent line to the parametric curve. If x = f(t), y = g(t)   a<= t <= b at…

Q: Find the particular solution of the differential equation x²y" - 5ay +9y=9x (x > 0) satisfying the…

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: Horizontal tangent lines to a curve occur at local extrema of the curve, that is at the peaks or…

Q: Find the lines that are tangent to the curve y=sin(pi*x/2) at x=1

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Q: Work of 4 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: What is the minimum degree of the polynomial function whose graph approximates each given graph?…

A: Consider the graph

Q: LET • (CX)= In [x²(x+5) ³ (x² + 4)⁰7 f'(x) = LET F(x) = \n [X²(X + 3) ³ (X² + 2)²] Cico

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Q: What is the unit tangent vector T(t) on the curve r(t) = (sin(t), 3, 2 cos (2t)) when t = 0? Select…

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Q: (a) Find and sketch the domain of the function f(x,y)=√x-1+√y-4

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Q: Set up an integral for the area of the surface obtained by rotating the given curve about the…

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Q: Find dy/dx by implicit differentiation sin y = x^3 + y^4

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Q: J 4³ (u + 1)² du

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Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x -…

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Q: Entered -(84/25)*(x^3)-(24/5)*(x^3)*In(x)+([9*(x^8)]/25) The answer above is NOT correct. Find the…

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Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are…

A: Consider the parametric equation

Q: Evaluate the limit: limħ– →0 0-2 01/1/20 0 - 12/1/2 2 an ( 7 +h)-tan (7) h

A: