Find an nth degree polynomial function with real coefficients satisifying the given conditions n=3 -4 and 3+2i are zeros f(-1)=60 f(x)=

Q: Let f be defined as follows. y = f(x) = x² - 7x (a) Find the average rate of change of y with…

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Q: Let R= (2₁1), Find the Point P such that PR has components 82-3,17

A: Let coordinate of point Pa,b

Q: Evaluate the following expression without using a calculator. log 75 7

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Q: 1. Integrate each of the following. a. f 3x²e³x dx b. fxco. xcos(4x)dx

A: (a) Given that ∫3x2e3xdx

Q: Consider the rational function -4x-4 x² 6x - 7 g(x)= Factor the numerator to get Factor the…

A: Given gx=-4x-4x2-6x-7

Q: y² Consider the paraboloid f(x,y)=4- and the point P(6,0) on the level curve f(x,y) = 0. Compute the…

A: I am attaching image so that you understand each and every step.

Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: Given :

Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 18 feet long,…

A: Perpendicular length= 7 feet  Hypotenuse= 18 feet

Q: This answer is incorrect. Please redo.

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Q: 2. Match each logarithmic function with its graph. I II ++ (a) f(x) = log₂ (x) (b) f(x) = -log₂ (-x)…

A: We have given equation and graph to match From given graphs graph I :   (a)  fx=-log2x graph II :…

Q: Write a differential equation that models the given situation. The stated rate of change is with…

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Q: The radius of a cylinder is decreasing at a constant rate of 9 feet per second. The volume remains a…

A: Topic - Application of derivatives Let volume of cyclinder at any time t=VLet radius of a cylinder…

Q: A car was valued at $44,000 in the year 1992. The value depreciated to $14,000 by the year 2004. Use…

A: Given data, Principal P=$44000 Amount A=$14000 Time t=2004-1992=12 years

Q: Let f be a function that is continuous on [1,7] and differentiable on (1,7). Suppose 2 < f'(x) < 3…

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Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: We have given  The rate of change of the radius r of a tree trunk is inversely proportional to the…

Q: Find the following limit. lim cot (4x) 24

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Q: Evaluate the following limit. If the answer is positive infinite, type "I"; if negative infinite,…

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Q: **************** A rectangular poster is to contain 800 square centimeters of print. The margins at…

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Q: ************** A cylindrical package to be sent by a postal service can have a maximum combined…

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Q: Find the third derivative of the given function. g(t) = √9t + 3 _g"(t) = X

A: We need to find out the triple derivative for the function given.

Q: 3. Given h(x) = 3 ln(1 + x²) + 8 arctan(x), find all x where h"(x) = 0.

A: Topic - inflection point of a function We are given h(x)=3ln(1+x2)+8arctan(x)we know…

Q: Find each limit, if possible. (If an answer does not exist, enter DNE.) 7x +5 (a) lim (b) lim (c)…

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Q: f(x) = x² - 11x + 30 g(x) = x - 5 (f+g)(x) = (f- g)(x)

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Q: The solutions provided are not answer to my problem. This is my problem: x2>-4x Please explain

A: Let's solve.

Q: 4 Find the derivative of f(x) = x¹ log7(x + 4.5). f'(x) =

A: Given that f(x)=x4log7(x+4.5) Differentiating with respect to x…

Q: only

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Q: Evaluate the integral. [²3 0 x In (3x) 4 dx

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Q: Determine by integral test the convergence or divergence of the series Σ √n+4

A: The given series: ∑1∞1n+4.We need to check the convergence of the series using integral test.

Q: Find the derivative of the function. y = In(xvx²-8) y' =

A: y=lnxx2-8 Apply Chain Rule

Q: 8. State the domain of the logarithmic function by solving a polynomial inequality. Specify the cut…

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Q: ASK YOUR TEACHER A rectangular package to be sent by a postal service can have a maximum combined…

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Q: A firm's revenue function from the sale of S21 is R(x) = 2x² - 9x - 221 and the firm's total cost…

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Q: The Rational Function f(x) = = a. Write the Equation for the Horizontal Asymptote: b. Draw the…

A: Topic = Function

Q: Function Operations Given the functions: f(x) = 9x + 7 and g(x) = 3x - 6, determine each of the…

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Q: Find lim 1→0 Answer 6t + 4tant sint Keypad Keyboard Shortcuts

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Q: If 1 f(x) = coth-¹√√x² +5 then f'(x) = 0

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Q: Evaluate the expression. If the answer is not an​ integer, round to four decimal places.   25 C3/53…

A: Given question:- Evaluate the expression. If the answer is not an​ integer, round to four decimal…

Q: n²+3 4 Prove that if n is an odd integer, then √2-2

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Q: Consider the function f(x) Answer the following questions about f(z). 8.2 (2²+4)³ and f''(a)= 2² +4…

A: Consider the function fx=x2x2+4.f'x=8xx2+42f''x=32-24x2x2+43To answer the following questions about…

Q: (ex + ln y + ²) dx + ( + Inx + siny) dy = 0 y(2x² - xy + 1)dx + (x - y)dy = 0

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Q: For f(x) = 3x² + 8x + 7, find the equation of the tangent line at the following values of x. (a) x =…

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Q: y" + y = 2, y(0) = 4, y' (0) = 3 (A) y = 2 sint + 3 cos

A: given y'' + y = 2 D2y + y = 2(D2 + 1 ) = 2 for complementary solution D2 + 1 =0D = ±iD = 0…

Q: 4 Calculate the relative error when *(x² + 7x) dx is found using the trapezoidal rule with 4…

A: The given integral is ∫04 (x2+7x)dx

Q: By about how much will f(x,y,z) = In√x² + y² +2² change if the point P(x,y,z) moves from P(6.5.15) a…

A: NOTE: Refresh your page if you can't see any equations. . the given direction vector is find its…

Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

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Q: F(g) = √ 39 29 2-g if g≤0, tang if 970,

A: Given data, The function is continuous at g= 0. Determine if it is differentiable at g = 0.…

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim X-3 3-X…

A: Givenlimx→ 3-3-x3-x

Q: You deposit $5000 in an account earning 2% interest compounded continuously. The amount of money, A,…

A: We will find the required.

Q: SOLVE a, b, c, d, e, f, g, h, i, and j SOLVE THE FOLLOWING IN MS EXCEL USING GAUSS ELIMINATION DO…

A: Gaussian Elimination is one of the methods to solve a system of linear equations. In This Method we…

Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = 6 - 5x - 4y c = 6, P(0, 0)…

A: Find the normal vector to the level curve f(x, y) = c at P. given f(x, y) = 6-5x-4y and C = 6, P(0,…