Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=24. f(x) = (Simplify your answer. Do not factor.)

Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: Given,f(x) = x3 and , a= 2 ; b= 4

Q: Find a) any critical values and b) any relative extrema. t(x) = x + +7x-1

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Q: The diagram that has a limit at x = a is

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Q: Determine whether the planes are parallel, orthogonal, or neither. 4x 20y4z = 1 3x - 15y 3z = -4 O…

A: The given planes are

Q: 7. Use the graph below. Determine the period of this function 2 -2- OA 10 OB 2.5 OC -3.25 10 x

A: We have to find periodic function of the given graph.

Q: [Geogebra Question] Let f(x) = x² ln(x²). Use Geogebra find the definite integral on 10 the interval…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: I'm not sure that I fully understand the tan(x) discontinuity. Could you expand on that?

A: Given the function is:y=f(x)=(xtanx)/(x²+1)Here,the numerator is: xtanxand the denominator is: x2+1

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A: The function is

Q: Determine whether each statement is true or false. You have one submission for each statement. (a)…

A: Given query is to find statement true or false.

Q: Determine a rational function that meets the given conditions, and sketch its graph. The function h…

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Q: Find the limit. x²y + xy² lim (x,y) → (3,-2) x² - y²

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Q: justify your answers to the following: a) Specify points of inflection (if any). b) Use the above…

A: Using application of derivatives, we can solve the question

Q: g(x) = = X 2 2x² X-2 (a) Evaluate each of the following, if it exists. (If an answer does not exist,…

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Q: 1. Find the absolute maximum and absolute minimum for the function on the closed interval. f(x) = x²…

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Q: QUESTION 4 Find the y-intercept of the polynomial function. f(x) = (x + 1)(x-2)(x - 1)² -1 -2 000 NO

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Q: Solve the triangle with the given parts. 26° 28 51⁰ Y r b Y = 103°, a = 62.2, b = 35.1 Y = 103°, a =…

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Q: Find the absolute maximum and absolute minimum for the function on the closed interval. g (t) = cost…

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Q: Find the curvature of the function using both formulas (so submit 2 different solution processes).…

A: We have to find the curvature using two different formulas.

Q: f(x, y) = √y + cos²(x) = 1 + Let f(x, y) = √y + cos2(x). Then f(x, y) = the following theorem. and f…

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Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x)=x4+3x³-12x² - 52x-48; k=-2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If 85x + 9 = 46, solve for x. X =

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Q: i. L[x5e-3x]

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Solve for x: X S₂ 14 2 1 t(4- t) dt= 0.5, where x € (2, 4).

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Q: Use the laws of logarithms to write each expression as a single logarithm. (a) 3log(x) - 4log(y) =…

A: We can use properties of logarithms1. log a + log b= Log (ab)2. log a - log b= log (a/b)3.  n log a…

Q: Please solve and show all work. Please show work where it is clear and visible with all steps. If…

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Q: Establish the limit of the sequence lim (3-2)

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Q: f(x)=x| Complete the following whenf(x) = 3 f(x)=x+6 a. Draw a graph of f. b. Explain why fis…

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Q: Find the second derivative d2y/dx2 of the function defined implicitly by the equation. x1/3+¹/3 = 94…

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Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). r(t) = 3²³i - 3tj + ³k (a) r(t) (b) r"(t) (c)…

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Q: A simple random sample of size n is drawn from a population that is normally distributed. The sample…

A: The solution is shown in step-2

Q: Find the derivative of f(x) = -3³/2 √z (a) by using the Quotient Rule (b) by by simplifying the…

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Q: Use the properties relating exponential and logarithmic functions to simplify each expression. (a)…

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Q: For the following polynomial, one zero is given. Find the remaining zeros. f(x)=x+27x²-324,- 6i is a…

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Q: Use the Chain Rule to find dw/dt. w=ln(sqrt(x^2+y^2+z^2)) x=6sin(t), y=9cos(t), z=8tan(t)   dw/dt=?

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Q: Given  u→=[6,−1] and  v→=[11,5], find the projection of  u→ on  v→

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Q: How long will it take for $3,000 to grow to $6,000 if the investment earns an interest rate of 5%…

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Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

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Q: QI @ Find fx and fy for the following function: (i) f(x,y)=(x²-1)(y + 2) (ii) f(x,y)= ex+y+1 (iii)…

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Q: If f(x) has a vertical asymptote at 0 then f(c) does not exist.

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a…

Q: Let ƒ (2) = {22-6 f 6-x-x² if x ≤ 1 if x > 1 2x Calculate the following limits. Enter "DNE" if the…

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Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = (12/2) on the…

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Q: Find the first and second derivatives of the function. f(u) = √10 - 5u f'(u) = -5 f"(u) = -5 du dx X

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Q: Find z²dA where R = {(z,y) | 36x² +9y² ≤ 324}

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Q: A ship sails South 2 km, then turns West. If it sails at a rate of 10 kph, find the rate at which it…

A: A ship sails south 2km, then turns West. Rate of ship sailing = 10kph

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (2,…

A: Point : Equation of the planeComparing this with standard equation of the planeWe get,

Q: Find the average value have of the function h on the given interval. h(u) = (14-7u)-¹, [-1, 1] Step…

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Q: The wind-chill index W is the perceived temperature when the actual temperature is T and the wind…

A: The solution is shown in step-2

Q: Find the area under the graph of f over the interval [-2,4]. x²+2 x≤2 3x X>2 f(x) =

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Q: Explain why 4-4 using the relationship between radical expressions, rational exponents, and…

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